Let i(y) = -6*y**3 - 10*y**2 - 12*y + 26. Let f(o) = -5*o**3 - 11*o**2 - 11*o + 27. Let p(u) = -5*f(u) + 4*i(u). What is the tens digit of p(-13)?
1
Suppose j = 4*j - 3*t - 28239, 4*t = -5*j + 47083. What is the thousands digit of j?
9
Let y(v) = 6*v**2 - 11*v - 13. Let w be y(-7). Suppose -2*r + 180 = -w. What is the hundreds digit of r?
2
Let f(n) = -1 + 1 + n - 1. Let a be f(5). Suppose -u + 7*x - a*x = -43, -5*x = u - 11. What is the tens digit of u?
3
Let d(w) = -w**2 - 21*w - 12. Suppose 3*z - 163 = -z - 3*x, 3*x - 77 = -2*z. Suppose 17 = -5*s - z. What is the tens digit of d(s)?
9
Let m = 39 - 33. Suppose -c = 2*s - 60, 0 = 3*c - 3*s - m - 201. Let b = -36 + c. What is the units digit of b?
0
Let p = 4699 + 737. What is the units digit of p?
6
Let k(i) = 4*i**2 + i - 5. Suppose 0 = u - 6 - 10. Suppose 0 = -3*j - j + u. What is the tens digit of k(j)?
6
Let b = 73 + -38. Suppose 5*t - b = -0*t. Let h(o) = 3*o**2 - 7*o - 17. What is the tens digit of h(t)?
8
Suppose -19*o + 15*o = -3*c - 25468, 0 = o + 4*c - 6367. What is the thousands digit of o?
6
Suppose q - 2*k = -5*k - 64, -3*k + 92 = -2*q. Let j(a) = 26*a + 3. Let f be j(3). Let u = q + f. What is the tens digit of u?
2
Let l be 385 + (-2)/(0 - 5/10). Let s = l - 149. What is the tens digit of s?
4
Suppose -3*k = 9, 5*a - 41939 = 12*k - 14*k. What is the units digit of a?
9
Let z be (1*2*-1)/(74/8103). Let s = z - -366. What is the tens digit of s?
4
Suppose -177 + 47 = -5*a. Suppose -a*i + 23*i = -903. What is the hundreds digit of i?
3
Let g(o) = 182*o**3 + 4*o**2 - 4*o + 12. What is the hundreds digit of g(3)?
9
Let b be (0/(-5 - 0))/1. Suppose -3*p + 5*f + 657 = b, -1003 - 126 = -5*p - 3*f. What is the hundreds digit of p?
2
Let c(x) = -80*x + 5. Let q be c(-1). Suppose q = -5*b + 380. What is the tens digit of b?
5
Let z(p) = -40*p**2 - 6*p + 10. Let d be z(-6). What is the hundreds digit of d/(-6) - (7 - (-207)/(-27))?
2
Suppose 12*k = 13*k - 171. Suppose o - 133 = k. What is the tens digit of o?
0
Let y be ((-4)/(-5))/(8/(-980)). Let s = 157 - y. Suppose 5*z - 2*z = s. What is the units digit of z?
5
Let c be 39/(-15) - 3/(-5). Let h be ((-48)/18)/(8/6 + c). Suppose -h*t - 2*t + 546 = 0. What is the units digit of t?
1
Suppose -10*f + 17*f + 39*f = 457884. What is the tens digit of f?
5
Let b(s) = 56*s. Suppose c - 16 = -c. Suppose 4*u = -c, 5*y - 5 = 4*y + 2*u. What is the units digit of b(y)?
6
Let r = -95 - -64. Let y = -34 - r. What is the units digit of (0 + 82)/(y - -5)?
1
Let v(u) = -5*u**3 + 6*u**2 - 4*u + 3. Let a be v(2). What is the tens digit of (-10)/35 - (195/a + -3)?
1
Let q(s) = 83*s - 42. Let w be q(5). Suppose 2*n = 2*t - 696, -t + w = -4*n + 34. What is the units digit of t?
1
Suppose -2*j + 26 = 36. Let y(t) = 2*t**2 - 4*t + 4. What is the tens digit of y(j)?
7
Let w = -254 + -636. What is the units digit of 18/(w/225 - -4)?
5
Let b be (-1 - -5) + 11 + -9. Suppose 0 = -2*d - 1 + 7, 2*i - 5*d = -119. Let u = b - i. What is the units digit of u?
8
Suppose -741 + 37075 = 50*v - 100216. What is the thousands digit of v?
2
Let k be 80/30*(-6)/4. Let p be (-3)/4 - (-15901)/k. What is the tens digit of ((-1)/(-4))/((-14)/p)?
7
Suppose -3*p = u - 4284, -11765 + 33115 = 5*u + p. What is the hundreds digit of u?
2
Suppose 2*w = u - 2, w - 3 - 3 = -3*u. Suppose u*j = v + 138, -136 = 2*j - 4*j + 2*v. What is the units digit of j?
0
Let i(k) = 4*k**3 + 8*k**2 + 37*k - 40. What is the tens digit of i(11)?
5
What is the units digit of (12 + -8 + 9042)*(0 - -1)?
6
Let s be (-13)/(455/1110)*-7. Let t = s + 146. What is the tens digit of t?
6
Let n(c) = -c**2 - 2*c + 168. Let b = -182 + 182. What is the units digit of n(b)?
8
Suppose -t = 2*r - 9, -4*r + t + 0*t = -3. Let a(g) = g**3 - g**2 + g. Let p be a(r). Suppose 0*c + p = 3*c, v - 4*c - 12 = 0. What is the units digit of v?
0
Let a(f) = 30 + 41 + 18*f - 56. What is the units digit of a(6)?
3
Let q = 102 - 68. What is the units digit of 0/(-18) + q/2?
7
Let w(b) = -b**3 + 13*b + 23. Let l be w(-7). Let s be (32/20)/((-10)/l). Let p = s + 96. What is the tens digit of p?
5
Let p = 3682 + -1830. Suppose -5*n + m = -p, 2*n - 5*m + m - 730 = 0. What is the tens digit of n?
7
Suppose -8 = -2*q, 4*a - 2*a + 5*q - 36 = 0. Let o(m) = m**3 - 6*m**2 + 19*m + 5. What is the units digit of o(a)?
5
What is the tens digit of ((-21)/5)/((-134)/24790)?
7
Suppose 229 - 283 = 9*u. Let r(b) = -b + 4. Let c(s) = -3*s + 8. Let w(o) = 6*c(o) - 14*r(o). What is the tens digit of w(u)?
1
Let u(y) = -y**2 + 27*y - 51. Suppose 8*k - 12 = 4. Suppose -8*i - k*i = -220. What is the tens digit of u(i)?
5
Let x = 2231 - -5205. What is the units digit of x?
6
Suppose -655 = -3*x + 59. Let l = -172 + x. What is the tens digit of l?
6
Let c(i) = -i**3 - 2*i**2 - 4*i - 4. Let v be (4/12)/(4/(-24)). Let z be c(v). What is the tens digit of z/6 + (-736)/(-12)?
6
Let z be (-2)/(-39)*3 - (-342)/(-26). Let w be (-4 + (-117)/6)*-4. Let n = w + z. What is the tens digit of n?
8
What is the hundreds digit of (12 + -4)*(-75)/(-100) - (0 + -3288)?
2
Let j(y) = 10*y**2 + y + 1. Let a be (-8)/44 + (-140)/(-44). Let z be j(a). What is the units digit of 0 - (z - 2)/(-4)?
3
Suppose 0 = 3*z - 48*q + 46*q - 21401, -3*z = 4*q - 21377. What is the hundreds digit of z?
1
Suppose 14644 = 6*i - 12506. Suppose i = 30*v - 5*v. What is the tens digit of v?
8
Suppose -10*m + 382 + 5347 = 7*m. What is the tens digit of m?
3
Suppose 11*g + 868 = -3*g. Let l = g + 307. What is the tens digit of l?
4
Let f(z) = -3*z**3 - 3*z**2 - 2*z. Suppose 4 + 12 = 4*m. Let l be m/((-12)/21) + 4. What is the tens digit of f(l)?
6
Let b(v) = -v**3 - 6*v**2 + 15*v + 7. Let w(z) = 2*z**3 + 11*z**2 - 29*z - 15. Let k(c) = -5*b(c) - 2*w(c). What is the tens digit of k(-7)?
6
Let s(u) = 460*u**3 + 4*u**2 - 4*u + 4. What is the thousands digit of s(2)?
3
Let z(r) = 21*r**2 + 31*r - 287. What is the thousands digit of z(15)?
4
Suppose -2*r = -3*b - 2337, 4*b = 5*r + 2*b - 5870. Suppose r = -0*h - 6*h. Let i = h - -278. What is the tens digit of i?
8
Let d = -67 + 295. Let b = 436 - d. What is the units digit of b?
8
Let f(i) = i**2 - 29*i + 244. What is the units digit of f(19)?
4
Suppose 2*u = 90 - 76. Suppose -8*g = u*g - 2550. What is the hundreds digit of g?
1
Suppose 14*r - 945 = -7. Suppose -5*w = -2*t + 321, 3*w = -2*t + t + 155. Let k = t - r. What is the units digit of k?
1
Let k(c) = -c**3 + 8*c**2 - 4*c. Let q be k(8). Let m(a) = -2*a**3 - a**2 - 4. Let b be m(-2). What is the units digit of (-8)/q - (-454)/b?
7
Suppose 4*v - 3352 = -4*i, 476 = -v - 5*i + 1330. Suppose 2*w + 1296 = 5*w - 3*h, -2*w - 4*h = -v. What is the hundreds digit of w?
4
Let x(i) = -2*i**2 - 8*i + 2. Let c be x(-4). Suppose -15*g + 5499 = -c*g. What is the tens digit of g?
2
Suppose 21 = -2*w - 5*c, 4*c + 28 = 2*w + 4. Suppose 5*o - 1752 = w*q, -q - 243 - 1158 = -4*o. What is the tens digit of o?
5
Suppose 3*n - 3*h + 3 = 24, 3*n - 4*h = 23. Let i(y) = 2*y**2 - 5*y + 1. Let d be i(n). Let m = d + 60. What is the units digit of m?
6
Suppose -3*o - 96*u = -99*u - 12810, o - 2*u - 4265 = 0. What is the thousands digit of o?
4
Let h(g) = -179*g - 3. Let n be h(-1). Let x = n - 30. What is the hundreds digit of x?
1
Let b(x) = x**3 - 2*x**2 - 21*x - 9. Let t be b(6). Suppose -t*u + u + 3048 = 0. What is the hundreds digit of u?
3
Let h(u) = 13*u**2 - 11*u + 217. What is the tens digit of h(-20)?
3
Let g(o) = -2*o**3 + 13*o**2 + o + 4. Let c be g(6). Suppose -a + 62 = 4*k, 0*a - c = -3*k - a. What is the tens digit of k?
1
Let n = -86 + 501. Suppose 5*q + 0*q = -n. Let f = q + 117. What is the tens digit of f?
3
Let b(v) = 143*v**3 - 9*v**2 + 55*v + 8. What is the hundreds digit of b(4)?
2
Let q(u) = 3*u**2 + 2 + u**2 - 3*u**2 - 10*u - 10*u. Let h be q(-9). Suppose 2*l + h = 3*a, -51 = -a + 5*l + 54. What is the tens digit of a?
8
Let t(d) = 6*d**2 + 141*d + 4. What is the units digit of t(24)?
4
Let o = -9154 + 13180. What is the hundreds digit of o?
0
Let b(w) = -w**3 - 13*w**2 - 11*w + 14. Let a be 109/(-9) - 14/(-126). Let d be b(a). Suppose d*h + 3*p = 113, -h = h - 4*p - 92. What is the tens digit of h?
5
Let u = -172 - -403. Suppose 0*c = 2*r - 2*c - 430, -5*c - u = -r. What is the tens digit of r?
1
Suppose 44*d - 28354 = 12170. What is the units digit of d?
1
Let c(h) = 44*h**2 + 113*h - 66. What is the units digit of c(-13)?
1
Suppose 2*a - 2*k + 5625 = 14129, 5*k = -2*a + 8497. What is the hundreds digit of a?
2
What is the tens digit of -14*429/(-104)*(-1 - -157)?
0
Let u be (46/115)/(1/(-405)). What is the units digit of (u/(-72))/((-1)/(-4))?
9
Let q(x) = -9*x**3 - 4*x**2 - 8. Let l be q(-4). Let a = l + -138. What is the tens digit of a?
6
Let n = 799 - -1231. What is the units digit of n?
0
Let b(h) = -4*h + 20. Let o(q) = q + 2. Let g(a) = -2*b(a) - 28*o(a). What is the hundreds digit of g(-20)?
3
Let o(s) = 110*s + 383. What is the tens digit of o(73)?
1
Let f be 14/((-70)/15)*(-880)/2. Suppose 11*z + f = 14*z. What is the hundreds digit of z?
4
Suppose 3*r = 10*r - 77. Let a(k) = 23*k - 49. What is the tens digit of a(r)?
0
Suppose -4*j + 72 = 5*a - 637, a - 3*j = 138. Let i = 194 - a. What is the units digit of i?
3
What is the hundreds digit of 53*(-3)/(-6)*(-954)/(-53)?
4
Suppose r - 15*r = 0. What is the units digit of (r + 2/3)/((-2)/(-711))?
7
Let r(m) be the first derivative of m**2/2 + 68*m + 16. What is the units digit of r(-12)?
6
Let w = -3952 - -9393. What is the tens digit of w?
4
Suppose -377667 = -78*k + 8140 + 70571. What is the thousands digit of k?
5
Let l = 21745 + -15221. What is the thousands digit of l?
6
Let w be ((4 - 5) + 2)*385. Suppose w = 5*g - 3*f, 0 = 3*g + f - 3*f - 230. Let u = g + 17. What is the tens digit of u?
9
What is the hundreds digit of 24/40 + 25420/50?
5
Suppose 9*q = -4*q + 117. Suppose q*p - 5117 = -8*p. What is the units digit of p?
1
Suppose -5*v - s + 294 = -180, -298 = -3*v - 4*s. Let l be (1 + v/(-6))*-18. Suppose -5*u + l = p, -4*u + 165 = p - 46. What is the units digit of u?
3
Let z(j) = j**2 - 6*j + 1. Let c be z(5). Let f(o) = -3*o + 11. Let r(m) = -m + 3. Let k(g) = -f(g) + 5*r(g). What is the tens digit of k(c)?
1
Let a = 2181 - -3554. What is the units digit of a?
5
Suppose -2*l + 20 = 4*h, -10 = 5*l - h - 5. Suppose l = -3*q + f + 664 - 1, 0 = -f + 3. What is the hundreds digit of q?
2
Let o = -9298 + 14485. What is the units digit of o?
7
Let o(s) = 133*s - 287. What is the thousands digit of o(31)?
3
Let p(o) = -216*o - 18. Let y be p(-8). Suppose 2*g = -r + 693, -y = -5*g + 7*r - 2*r. What is the units digit of g?
5
Let r(u) = 882*u + 526. What is the tens digit of r(9)?
6
Suppose -96 = -10*q + 344. Suppose -48*y + q*y = -1248. What is the tens digit of y?
1
Let i be (-20)/(-25)*10*(-4)/(-8). Let n(j) = 4*j**2 + 9*j - 19. What is the tens digit of n(i)?
8
Suppose -2*l = -6*l - 8*l. Suppose l = -3*m + 3*a + 1209, -m - m + 4*a = -808. What is the tens digit of m?
0
Let p(y) be the third derivative of -y**6/120 - 11*y**5/60 - y**4/12 + 5*y**3/6 - 13*y**2. Let q be p(-11). Let h = q + 64. What is the units digit of h?
1
Suppose 49*f - 393014 = -3*f + 5*f. What is the hundreds digit of f?
3
Let s(t) be the first derivative of -t**4/4 + 2*t**2 + 8*t - 1. Let i be 240/100*(-10)/6. What is the tens digit of s(i)?
5
Let j(r) = -r**3 - 11*r**2 + 14*r + 28. Let g be j(-12). Suppose m - 4*h + 184 = 5*m, -g*m - 3*h = -179. What is the units digit of m?
1
Let u = 52 - 49. Suppose 8*d + 1719 = 12*d - p, 4*p = u*d - 1299. What is the tens digit of d?
2
Suppose -z - 285 = 4*z. Let d = -22 - z. Let a = 51 - d. What is the units digit of a?
6
Let q be 1/3 + (-56)/(-3). Suppose -1 + q = 6*o. Suppose o*y - 5*s - 253 = 0, -4*s = -2*s + 10. What is the units digit of y?
6
Let j(h) = -h + 18. Suppose -5*r = -3*i + 19 + 9, i - 8 = 2*r. Let a be j(i). What is the tens digit of ((-1)/a - (0 + -1))*26?
1
Suppose q - 4 - 8 = -4*i, 0 = 5*i + 4*q - 4. Suppose 0 = -3*o - 5*c - 1, -5*o + 19 = 2*c - i*c. Suppose o*s - 59 = 10. What is the units digit of s?
3
Suppose 0 = 5*h - k - 862, -k = 3*k + 8. What is the units digit of h?
2
Let q = 217 - 195. Suppose -12*o - 3280 = -q*o. What is the units digit of o?
8
Suppose -5 = 5*o, -6*h + 2*h + 2*o + 2 = 0. Suppose h = -4*y - 9 + 501. Let l = 222 - y. What is the tens digit of l?
9
Suppose t - 103 = 22*m - 26*m, 0 = 5*t + 5. Let s(f) = 7*f - 70. What is the hundreds digit of s(m)?
1
Suppose 0 = -y + l + 233, 3*y + 3*l = -2*l + 731. Suppose 0 = -u - 39 + y. What is the units digit of u?
8
Let d = -1 + 1. Suppose d = -4*z + 791 + 121. Suppose 2*i = 5*y + 53, 5*y + 43 - z = -5*i. What is the units digit of i?
4
Let c = -96 - -74. Let p = c + 337. What is the tens digit of p?
1
Suppose 0 = -879*a + 869*a + 2360. What is the tens digit of a?
3
Let t(q) = 158*q**3 + q**2 + 9. Let b be t(-3). What is the tens digit of (b/(-40))/((-9)/(-30))?
5
Suppose 73 = -6*n - 17. Let l(r) = -20*r - 8. Let m be l(n). What is the tens digit of m/3 - 1/((-6)/4)?
9
Let r = 11405 - 4380. What is the units digit of r?
5
Let t = 72 + -44. What is the tens digit of (3115/t)/(10/8 - 1)?
4
Suppose 984 + 3540 = o - 1150. What is the units digit of o?
4
Let x be (-3 + 26)*(5 + -4). Suppose -3*a - 10 = -a, -x = -3*b + 4*a. What is the tens digit of (24/(-60))/(b/(-85))?
3
Let f(r) = r**3 - 17*r**2 + 30*r + 4. Let k be f(15). Let q(c) = -7 + 7*c - 3*c + k*c + c**2. What is the tens digit of q(5)?
5
Let f = -8483 - -15131. What is the units digit of f?
8
Suppose 0 = a - y + 5*y - 1220, -4*a - 4*y + 4820 = 0. Suppose -p + 315 = 3*o + o, o = -4*p + a. What is the hundreds digit of p?
2
Let x(w) = w**3 + 11*w**2 - 16*w - 24. Let y be x(-12). Suppose -18*z = y - 78. What is the units digit of z?
3
Let v be (-1*3 - -2)*0/1. Suppose v*w = -6*w + 24. Suppose w = -4*n, -3*m = -5*m - 2*n + 114. What is the tens digit of m?
5
Suppose -38 + 20 = -2*w. Suppose w*k - 39 = 1320. What is the units digit of k?
1
Let c be 540/30*(-2)/6. Let d(w) = -2*w**3 - 7*w**2 + 2*w - 2. What is the hundreds digit of d(c)?
1
Suppose 12*b + 66*b - 386880 = 0. What is the hundreds digit of b?
9
Let j(o) = 4*o + 96. Let z(l) = 3*l + 95. Let x(q) = -4*j(q) + 5*z(q). What is the units digit of x(-9)?
0
What is the tens digit of (-12)/(-16) + -123*(-1172)/48?
0
Let x = -2679 + 6676. What is the hundreds digit of x?
9
Let w = 75 - 53. Let q = w + -17. Suppose q*d - 256 = d. What is the tens digit of d?
6
Let z(b) = 2538*b - 724. What is the tens digit of z(3)?
9
Let f be (-4)/(-1) + (-54)/(-9). Let t be 26/65 + (-4)/f*1. Suppose t = 3*h - 306 + 84. What is the units digit of h?
4
Let k(r) = 3*r**3 - 59*r**2 + 14*r + 143. What is the thousands digit of k(22)?
3
Let j(a) = -a**3 + 2*a**2 + 3*a + 6. Let v be j(-7). Let f be v/(-18)*3*-1*1. Let i = -4 + f. What is the tens digit of i?
6
What is the units digit of (1/((-9)/(-6)))/((-9)/946242*-9)?
8
Suppose h - 394 = 4*b, -2*h - b + 6*b = -803. What is the tens digit of h?
1
Let n(h) = -h**3 - 14*h**2 - h - 14. Let i be ((-16)/12)/(6/63). Let d be n(i). What is the units digit of d + 73/3 - (-2)/3?
5
What is the hundreds digit of -26*254/(-12) - 28/84?
5
Let m(n) = -198*n + 584. What is the hundreds digit of m(-42)?
9
Suppose 3*m + m - 20 = t, -3*m + 15 = 2*t. Suppose 4*c - 30 = -0*i - 5*i, t = 3*c + 5*i - 25. What is the tens digit of 42/(-105) + 477/c?
9
Let t = 41 - 40. What is the tens digit of 11248/37 + 2/(-2*t)?
0
Suppose -5*t + 4 + 1 = 0, -5*p + 5*t = -10. Suppose a = 6*a + 2*d - 1440, -3*a + p*d = -843. What is the tens digit of a?
8
What is the thousands digit of (-20)/170 + 1498544/238 + (-4)/14?
6
Suppose 0 = -5*g + 2*z + 304 - 47, 202 = 4*g + 2*z. Suppose -g = -12*p + 1209. What is the units digit of p?
5
Suppose 12604 = 4*y + 4*a, 0 = -5*y + 6*a + 4*a + 15725. What is the thousands digit of y?
3
Let s = -3007 + 7319. What is the hundreds digit of s?
3
What is the hundreds digit of 3574 - (1 + (-3)/4)*(7 + -3)?
5
Let s = -2630 + 8753. What is the hundreds digit of s?
1
Let j(l) = l**3 - 45*l**2 + 23*l - 126. What is the thousands digit of j(48)?
7
What is the hundreds digit of ((-236)/472)/(1/(-5116))?
5
Let l = 306 - 325. Let j = 98 - -7. Let b = l + j. What is the units digit of b?
6
Let y(g) = -g**3 + g**2 - 10*g + 4694. What is the units digit of y(0)?
4
Let q(s) = -2*s**2 + 19*s - 8. Let b be q(8). Suppose -b*t = -8*t - 2720. What is the tens digit of t?
4
Suppose -227369 = -55*i + 291281. What is the hundreds digit of i?
4
Let x(d) = -2*d**2 - 19*d - 6. Let n be x(-9). Suppose 4*i - 41 - 71 = -4*r, 5*i = n*r + 148. What is the tens digit of i?
2
Suppose 0 = 2*v + v + 3*p - 1224, -3*p + 817 = 2*v. Suppose v = -9*x - 2*x. Let f = -33 - x. What is the units digit of f?
4
Let g = 51 + -60. What is the units digit of (-3)/(g/2) + 924/18?
2
Suppose 2792 = -12*v + 764. Let h = v - -197. What is the units digit of h?
8
Let j(g) = g**3 + 28*g**2 + 27*g - 14. Let x be j(-27). What is the units digit of ((-396)/(-15))/(x/(-35))?
6
Suppose 3*g - g + 4*j = 180, 4*j = 4. Suppose g*t - 83*t = 870. What is the units digit of t?
4
Suppose 14*g + 3*g = 12*g + 42020. What is the tens digit of g?
0
Suppose 0 = 3*x + 6*q - 2*q - 484, 5*q = -5*x + 815. Let v = x + -58. What is the tens digit of v?
1
Suppose 3*c + 0*b = -2*b + 3888, 5*c - 4*b - 6502 = 0. Let f = c + -881. What is the units digit of f?
7
Suppose n = 6*n. Suppose 4*c - 1270 - 10 = n. Suppose 0 = -5*b + b + c. What is the units digit of b?
0
Let v(s) = -4*s + 36. Let c be v(-18). Suppose 2*l - c - 571 = -3*m, -3*m + 682 = -l. What is the units digit of m?
7
Suppose -h + 2*x = -8, x - 4*x - 9 = -3*h. What is the units digit of (-621)/(-6) + (20/(-8) - h)?
3
Suppose -q - 24 = -2*q. Let k = q - 13. Suppose -79 - 658 = -k*v. What is the units digit of v?
7
Let d(g) be the third derivative of 3*g**4/8 - 3*g**3/2 + 10*g**2. Let y be d(-4). Let o = 21 - y. What is the units digit of o?
6
Let m be 23/92*(1 + 3)*383. Let h = m - 77. What is the units digit of h?
6
Let h(l) = l**3 - 10*l**2 + 8*l - 12. Let y be h(9). Let i = y + 23. What is the units digit of -82*(i + (-10)/4)?
1
What is the thousands digit of (517 + -478)*(-1 + -1 - -108)?
4
Suppose -y = -4, -r - 3*y + 41 = 2*y. Let b = -4 + 9. Suppose r = b*t - 34. What is the units digit of t?
1
Suppose -38*n + 15 = -41*n, -2*i - 3*n + 11917 = 0. What is the units digit of i?
6
Suppose 0 = -13*u - 164 + 437. Suppose 3*l - 12 = 0, -3*z + 0*l + 15 = 3*l. Let f = u - z. What is the tens digit of f?
2
Let l(k) = -8*k - 38. Let o be l(-5). Suppose -46 = -o*t + 120. What is the units digit of t?
3
Suppose -214*k + 224*k - 73170 = 0. What is the hundreds digit of k?
3
Suppose 3*m = r + 26836, -545*r = 3*m - 544*r - 26834. What is the thousands digit of m?
8
Let v = 17871 - 12491. What is the units digit of v?
0
Suppose -4*f = -g + 3844, 2*g - 12595 = -2*f - 4897. What is the tens digit of g?
4
Suppose 16*d - 19*d + 20660 = n, 4*n = 8. What is the thousands digit of d?
6
Suppose 0 = -3*j - 82 - 179. Let v = j - 4. What is the units digit of 4 - 1 - v/(3/3)?
4
Suppose 21*n - 9*n = 13*n - 9390. What is the hundreds digit of n?
3
Let j = 2427 + -622. What is the units digit of j?
5
Suppose 0*u + 9666 = 9*u. Suppose 3*w - 725 = -4*d, u = 4*w - 3*d + 99. What is the hundreds digit of w?
2
Suppose 0 = 2*g - 5*h - 22, -36 = -5*g + 4*h + 19. Suppose g*v - 1 = -1. Suppose v = -2*l + 7*l - 445. What is the units digit of l?
9
Let i be -1*(-1 - -2)*(5 + -6). What is the hundreds digit of 6 + -7 - (-401 - 0)*i?
4
Let x(m) = m**2. Let h be x(0). Suppose h = -15*u + 17*u - 70. What is the tens digit of u?
3
Let m be 256 - (-1 - -1)*6/(-30). Suppose -c - k = -m, 4*c - k = -616 + 1640. What is the tens digit of c?
5
Let v = 17763 - 8682. What is the tens digit of v?
8
Let p be -1*(-4 - (-5524)/2 - -4). What is the units digit of (4 - p)/6 + 1 + 0?
2
Let x(r) = -1. Let w(n) = n - 1. Let a(f) = -2*w(f) + 10*x(f). Suppose -5*t - 13 = 4*p, t - 10 = -4*p - p. What is the units digit of a(t)?
2
Let k(h) = 150*h**2 + 25*h - 74. What is the tens digit of k(6)?
7
Let z = 6 - 4. Let o(d) = 4*d**2 - 18*d - 42. Let a be o(8). Suppose z*j = j + a. What is the tens digit of j?
7
Let k(c) = 596*c**3 + 2*c**2 + c - 2. What is the tens digit of k(1)?
9
Suppose -2*r - 4*p = -134, 2*p + 129 + 104 = 3*r. Let i = 11 + -6. Suppose 25 = i*z, z - 2*z + r = 5*l. What is the tens digit of l?
1
Suppose -1626 = -15*j + 999. Let a = -103 + j. What is the tens digit of a?
7
Let h(k) be the second derivative of 0 - 1/12*k**4 - 1/2*k**2 - 9*k + 3/2*k**3. What is the units digit of h(6)?
7
Let n(t) = -2*t**3 + 6*t**2 + 5*t + 2. Let r(z) = 5*z**3 - 12*z**2 - 9*z - 3. Let q(v) = -9*n(v) - 4*r(v). What is the tens digit of q(-7)?
4
Suppose f - 2*w = 3388, 10*f - 5*f - 16916 = 2*w. What is the units digit of f?
2
Suppose 145*s - 192*s = -51089. What is the thousands digit of s?
1
Let o = 7143 + -1603. What is the tens digit of o?
4
Let i be 9/(225/220) + (-1)/(-5). Let m(a) = 27*a + 19. What is the units digit of m(i)?
2
Let u(s) = -s**3 + 7*s**2 + 2*s - 7. Let x be u(3). Let q = x - -1. Let a = q - 26. What is the tens digit of a?
1
Suppose -3*k = 12*k + 2505. Let j = -121 - k. What is the units digit of j?
6
Let h(w) = 14*w**3 - 10*w**2 - 22*w + 159. What is the thousands digit of h(8)?
6
Suppose 0*z + 7592 = 2*z - 2*x, 3*z - x = 11394. What is the thousands digit of z?
3
Let j be 0 - (-4 + 2)/2. Let r(o) = 4*o**2 - 35*o - 2. Let l be r(9). What is the tens digit of j/3*(l - -26)?
1
Let l be 0 + (-8)/4 + (10 - 1). Let d = l - -5. Suppose b - m - 112 = -d, -4*m - 16 = 0. What is the units digit of b?
6
Let c be ((-6)/2 - -6) + (-2)/2. Let y(h) = 6*h**2 + 2*h + 2. Let d be y(c). What is the tens digit of ((-8)/((-120)/25))/(1/d)?
5
Let k(x) = -x**3 - 13*x**2 - 24*x - 10. Let l be k(-11). Suppose 440 = 4*n - l. Suppose 255 = 4*y - n. What is the units digit of y?
2
Let m(n) = -4*n**3 + n**3 - 25*n + 10*n + 2*n**3 + 9 + 9*n**2. Let z be m(7). Suppose 30 = -z*i + 44. What is the units digit of i?
7
Suppose 2*h - 3*u = 14, -81*u - 20 = -3*h - 77*u. Suppose 0 = 3*n + 4*v + 5, -2*n = -3*n - 4*v + 1. What is the tens digit of ((-141)/(-6))/(((-3)/n)/h)?
9
Let o(q) = -2*q + 18. Let c be o(9). Suppose c = -f - 5*f + 1608. Suppose 3*z - f = -49. What is the tens digit of z?
7
Suppose 3*d = -0*d + 18661 + 1745. What is the hundreds digit of d?
8
Let z(r) = r + 9. Let g be z(-2). Suppose 3*b + 8 = g*b. Suppose -6*m = -b*m - 48. What is the tens digit of m?
1
Suppose 3 + 2 = -5*w. What is the hundreds digit of w*292*12/(-12)?
2
Let s(u) = 14*u**2 - 43*u + 23. What is the hundreds digit of s(9)?
7
Let n(u) = -u**2 + 4*u - 4. Let o be n(-8). Let r = o - -247. What is the units digit of r?
7
Suppose 4 = 2*q - k, -4*q + k + 7 = -3. Suppose 0*c + 5*c = -q*o - 10, 4*c = -o - 8. Suppose 3*w + 2*z = -0*z + 178, o = z - 2. What is the units digit of w?
8
What is the tens digit of 3*2/18*(-17)/(34/(-30468))?
7
Let y = -229 - -217. What is the tens digit of (27/y)/(36/(-912))?
5
Suppose 7*o - 12 = 4*o. Suppose 5 - o = s, -p + 61 = 4*s. What is the tens digit of p - (1*3/3 - -2)?
5
Let r(z) = z**3 + 8*z**2 + 9*z + 9. Suppose -3*c - 108 = -0*c. Let p be (2/(-2))/((-6)/c). What is the tens digit of r(p)?
2
Suppose 134*m - 10*m - 1500027 = -404611. What is the tens digit of m?
3
Suppose 0 = -5*j - o + 17, -3*j - o = -3 - 8. Suppose 34 = t - 4*i, -i - 67 = -j*t + 4*i. What is the units digit of (-94)/(-14) - (-4)/t?
7
Let p(v) = 3876*v - 2*v**2 + 3*v**2 - 3887*v. What is the hundreds digit of p(-12)?
2
Let l = 12867 - 8375. What is the hundreds digit of l?
4
Let o(n) = -4769*n**3 + 6*n**2 + 4*n + 3. What is the units digit of o(-1)?
4
Let l(s) = 3*s**2 + 13*s - 29 - 11 + 30. What is the tens digit of l(-8)?
7
Let i(o) = -13*o - 9. Let w be i(-1). Let c(j) = 6*j**3 + 6*j**2 - 10*j + 6. What is the tens digit of c(w)?
4
Let z be 1/(-7)*-2 + (-290)/35. Let a(s) = 5*s**2 - s - 15. What is the units digit of a(z)?
3
Let n be 62/(-10) - ((-4)/(-4))/(-5). Let g = n - -58. Let i = g - 7. What is the tens digit of i?
4
Let x = 182 + -179. Suppose -o - 57 = u - 419, 0 = x*u - 5*o - 1062. What is the tens digit of u?
5
Let z(i) = i**3 + 18*i**2 - 19*i - 41. Let p = 16 + -34. What is the hundreds digit of z(p)?
3
Suppose 0 = -3*a + n + 236, 5*n = 8*a - 3*a - 380. What is the units digit of (-5)/(a/(-3708)) + 1/4?
2
Suppose 0 = 107*k - 551616 - 184116. What is the thousands digit of k?
6
Let q(n) = 767*n - 1944. What is the units digit of q(15)?
1
Suppose -x = -10*x + 4815. Suppose b + x = 3*s, 5*s = -3*b + 1130 - 215. What is the tens digit of s?
8
Suppose -11077*u + 50472 = -11068*u. What is the tens digit of u?
0
Let w(m) = 32*m**2 + 20*m - 70. What is the units digit of w(4)?
2
Suppose 2*n = -7*n + 14605 + 21197. What is the thousands digit of n?
3
Let c = 43 - 39. Suppose 0*n = -c*n - 172. Let l = n + 141. What is the units digit of l?
8
Let w(c) = c**3 - 17*c**2 + c - 16. Suppose 2*a + 102 = 8*a. Let p be w(a). What is the units digit of 42 - 1/p*1*-1?
3
Let x = 228 + -224. What is the units digit of -2 + 360/x + -6?
2
Suppose 9 = 3*f - 0. Suppose 2*b = -f*b - 55. Let a(i) = 2*i**2 + 18*i + 24. What is the units digit of a(b)?
8
Suppose -2*s + 21 = -s. Let p be 5*s*8/24. Suppose 2*h - 135 = p. What is the units digit of h?
5
Let u(q) = q - 5. Let k be u(3). Let p(g) be the first derivative of -11*g**4/4 + 4*g**3/3 + 5*g**2/2 + 2*g - 10. What is the units digit of p(k)?
6
Let k = 9928 + -3208. What is the tens digit of k?
2
Let r be (-16)/(-4) + (3 + 0 - 5). Suppose r*n - 262 = 290. What is the units digit of n?
6
Let h(f) = 2*f - 3. Let c be h(-10). Let p = c + -8. Let a = p + 94. What is the units digit of a?
3
What is the units digit of (5 - -5653) + (-185)/37?
3
Let q(l) = l**3 + 16*l**2 + l + 28. Let a be q(-16). Suppose 4*b + x = 53, a = -3*x - x. What is the units digit of b?
4
Suppose o = -o - 2*j + 18, -j = 5*o - 29. Suppose -13*x = o*x - 1422. What is the tens digit of x?
7
Let t(i) = 2*i. Let s be t(4). Suppose z + s = 5*z. Let o(g) = 3*g + 8. What is the units digit of o(z)?
4
Let q = -1512 - -1966. What is the tens digit of q?
5
Suppose -61 - 29 = 6*t. Let k = 3 + t. Let c = k - -23. What is the units digit of c?
1
Let d(o) = o**3 - o**2 + 5*o + 2594. Let q be d(0). Suppose q = 13*y - 1969. What is the hundreds digit of y?
3
Let q = -36 + 45. Let i = q - -1. What is the units digit of (-10611)/(-135) - 6/i?
8
What is the tens digit of (-8127*2/(-8))/((-3)/(-112)*14)?
1
Suppose -3*z + 8 = -10. Suppose 7*g - z*g = 3. Suppose -2*u + c + 13 = 0, -4*u + 23 = -g*c - 2*c. What is the units digit of u?
7
Suppose -2*u + 3*k + 5141 = 0, -7*u + k + 10277 = -3*u. What is the hundreds digit of u?
5
Suppose -4*d + 348 = -2*k, 0 = 2*d + k - 6*k - 166. Let g = d - -61. Let u = -67 + g. What is the units digit of u?
2
What is the units digit of 3568 - (12/(-14) + 222/259)?
8
Let c be (-30)/(-7) - (5 + (-165)/35). Suppose 5*x = -2*s + 284, 0 = -4*x - c*s + 2*s + 226. What is the units digit of x?
8
Let w(g) = 3*g - 2 - g + g - 2*g. Let u be w(6). Suppose c + u*c = 355. What is the units digit of c?
1
Let j be 1 - (0 - (3 + -7)). Let w = j - -6. What is the tens digit of w/2 + ((-362)/(-4) - -2)?
9
Suppose 3*p - 2655 = 3*w, -3*p + 2*p - 2*w + 879 = 0. Suppose -852 = -4*t + 3*d + 277, -3*t + p = 5*d. What is the tens digit of t?
8
Suppose 241*p - 259*p = -131202. What is the hundreds digit of p?
2
What is the hundreds digit of (0 - 1)/(19/(-14193))?
7
Let k(a) = -11*a**3 - 45*a**2 + 47*a + 4. Let l(y) = 5*y**3 + 22*y**2 - 23*y - 2. Let b(p) = 6*k(p) + 13*l(p). What is the units digit of b(13)?
4
Let a be (-22)/(-2) - 5 - 1. Suppose 3*p + r = 842, -3*p + a*r + 830 = -0*r. What is the tens digit of p?
8
Let u = -35 + 21. Let g(z) = z**3 + 15*z**2 - 13*z - 18. Let q be g(u). Suppose 10*m - q = 2*m. What is the tens digit of m?
4
Suppose -5*f + 35 = 5*x, 16 = f + 2*x + 4. Suppose 6 + 4 = f*p. Suppose p*v + 0*v - 255 = 0. What is the units digit of v?
1
Let x(n) = -2*n - 1. Let b be x(-2). Suppose b*z + 0 - 6 = 0. Suppose -6*a = -z*a - 252. What is the units digit of a?
3
Let b(j) = j**2 - 4*j + 6. Let p be b(3). Suppose -4*m - p*t = -350, 7*m - 261 = 4*m - 3*t. What is the tens digit of m?
8
Suppose -4*u = -2*v - 653 - 1045, -v = 3*u - 1286. What is the hundreds digit of u?
4
Let o(m) = 10*m**2 + 12*m - 40. What is the hundreds digit of o(16)?
7
Let t = -118 + 122. Suppose 0 = a - 4*r - 187 - 23, -2*a + 480 = t*r. What is the hundreds digit of a?
2
Let h(c) = 12*c - 238. Let j be h(19). Let v(r) be the first derivative of -r**3/3 - 5*r**2 + 28*r - 2. What is the tens digit of v(j)?
2
Let c(u) = -u**3 + 15*u**2 - 26*u + 13. Suppose -66 = -9*j + 3*j. What is the tens digit of c(j)?
1
Let n(j) = -3*j - 17. Let o be n(-7). Suppose -8*h + o = -20. Suppose 5*c = 4*u - u - 318, -u + h*c + 110 = 0. What is the hundreds digit of u?
1
Suppose -n - 9*n + 13087 = -73673. What is the units digit of n?
6
Suppose 4*n = -2*r - 2, -n - r - 1 = -0*n. Let y(h) = h**2 - 13*h + 174. What is the units digit of y(n)?
4
Let s = 926 - 591. Suppose 13*j = 12*j + s. What is the units digit of j?
5
Let o(l) = l. Let b(v) = v + 5. Let m be b(-4). Let g be o(m). What is the units digit of (15 - (-2)/1)*1*g?
7
Suppose 51958 + 26371 = 29*r. What is the hundreds digit of r?
7
Let x be -2*-5*(-103)/(-2). Suppose 0 = 8*j - 3*j - x. What is the tens digit of j?
0
Suppose 8*v = 6*v. Suppose j - 1037 = 4*g, -4*g - 2*j = -v*g + 1022. Let s = -158 - g. What is the hundreds digit of s?
1
Suppose 0 = p + 3*p - 16. Let w = 22 + p. Suppose 27*x - w*x - 15 = 0. What is the units digit of x?
5
Let y = 1971 - -406. What is the units digit of y?
7
Suppose -t = b - 129, 0 = -6*t + 5*t - 2*b + 126. Suppose -4*p - 7*p = -t. Suppose p = -4*u, 0*d + 3*u - 57 = -d. What is the units digit of d?
6
Suppose -72*s - 58 = -74*s. Suppose -36*t + 2394 = -s*t. What is the hundreds digit of t?
3
Suppose 0 = -12*o - 4178 - 4102. Let h = o + 998. What is the tens digit of h?
0
Let u = -74 - -19. Suppose -h = -65*h - 6464. Let m = u - h. What is the units digit of m?
6
Let p(y) be the second derivative of 3*y**4/4 + y**3/2 + 3*y**2/2 - 2*y. Let o(v) = 7*v + 103. Let r be o(-15). What is the tens digit of p(r)?
3
Suppose -27*j = -21*j + 17*j - 12788. What is the units digit of j?
6
Let l(b) = 602*b**3 - 3*b + 2. Let x be l(1). Let f = -194 + x. What is the tens digit of f?
0
Let p = 5675 + -3835. What is the hundreds digit of p?
8
Suppose 12 = -4*b + 28. Suppose b*c - 1 = -f, 5*f + 4*c = 2*f + 11. Suppose 210 = f*a - 185. What is the units digit of a?
9
Let g(l) = 1741*l + 372. What is the hundreds digit of g(2)?
8
Suppose -74*i = -25*i - 470449. What is the hundreds digit of i?
6
Suppose -2*i - 32*h = -28*h - 16014, 4*h = 2*i - 16030. What is the units digit of i?
1
Suppose 9*r + 13019 = 97592. What is the thousands digit of r?
9
Suppose 28*m = 26*m + 76. Let w = 44 + m. What is the units digit of w?
2
Suppose -813*p = -806*p - 62167. What is the hundreds digit of p?
8
What is the thousands digit of (-12 + 805/21)*339/1?
8
Let a(y) = -y**3 - 3*y**2 + y - 2. Suppose 3*g - 7*g + 12 = 0. Suppose -3*t - g*t - 36 = 0. What is the tens digit of a(t)?
0
Let w = -397 - -225. Let y = w + 262. Suppose 24*v = 21*v + y. What is the tens digit of v?
3
Let i = 8502 - 155. What is the units digit of i?
7
Suppose m + j = 6*m - 28, -2*m + 4*j + 22 = 0. Let z be 113 + m/(20/(-16)). Let y = z + -49. What is the units digit of y?
0
Suppose -q - 2*v + 169 = 3*v, -3*q + 5*v = -507. Suppose -13*a + q = 39. What is the units digit of a?
0
Let x = -564 - -885. Let g = 5 + x. What is the units digit of g?
6
Let u = 3481 + -1521. What is the thousands digit of u?
1
Let y = -109 - -93. What is the units digit of ((-22)/(-6) + -3)*(-6888)/y?
7
Let d(l) = 44 - 15*l + 43*l + 93*l - 61. What is the tens digit of d(1)?
0
Suppose 9 = -s - 5*c, -16*s + 20*s = -5*c - 21. What is the hundreds digit of s - -27*(-44)/(-6)?
1
Let j = 375 - -2148. What is the thousands digit of j?
2
Suppose 2*m - 16 + 10 = 0. Suppose -m*y = 5*d - 844, 2*d + 3*d + 2*y = 841. What is the hundreds digit of d?
1
Suppose -2*i + 87448 = 11*i - 13224. What is the tens digit of i?
4
Let p = -189 + 69. Let h(q) = -52*q - 6. Let c be h(-4). Let i = c + p. What is the tens digit of i?
8
Let g be 5/(-10)*-3 - (-9)/6. Suppose -3*i + 1228 = 2*j - 4*j, 4*i - g*j - 1637 = 0. What is the hundreds digit of i?
4
Suppose 228*c - 148694 = 209*c. What is the hundreds digit of c?
8
Let w(t) = 544*t - 267. What is the tens digit of w(3)?
6
Let i be (-1)/4 + (-8)/96*33. What is the units digit of (i/2)/(3/(-42))?
1
Let v = 7577 - 5322. What is the thousands digit of v?
2
Let j(n) = n - 4. Let f be j(4). Suppose f = -4*t - i + 1289, t - 321 = -0*t + i. Suppose -5*q + 143 = -3*z + 5*z, 2*q + t = 4*z. What is the units digit of z?
9
Let y = 309 - 129. Suppose 0 = -n - 5*n + y. What is the tens digit of n?
3
Suppose -4 = -4*y + 4*s, 5*y + 4*s - 29 + 6 = 0. Suppose 3*n = y*z + 975, -5*n + 6*n + z = 329. What is the units digit of n?
7
Let q(d) = 207*d + 1777. What is the units digit of q(33)?
8
Let g be (13 + -7)*(-6)/(-4). Suppose -3*s - g*s + 2628 = 0. What is the hundreds digit of s?
2
Suppose 3*m + 9 - 63 = 0. Suppose -2*l + 430 - m = 2*r, -3*l + 4*r = -639. What is the units digit of l?
9
Let s be 1/(4/(-22))*-8. Let o be (35/10 + -2)*8. Let w = o + s. What is the tens digit of w?
5
Suppose -63*l = -64*l + 1259. What is the units digit of l?
9
Let f be 6/(-1) + -1 + 14. Suppose 20 = -5*x, f*p - 9*p - 4*x = -176. What is the tens digit of p?
9
Let m(o) = 2*o**3 + 8*o**2 - 51*o + 3. What is the hundreds digit of m(13)?
0
Let d(r) = 3*r + 23*r**2 + 7 - 24*r**2 - 6*r. Let o be d(-4). Suppose 0 = -4*l - h + 3 + 33, -o*h = -3*l + 42. What is the tens digit of l?
1
Let v(b) = 11*b**2 + 8*b + 13. Let z be -2 + (-8 + 6)/2. What is the units digit of v(z)?
8
Suppose 16*c - 2 = 14*c, -4*w - 5*c + 5897 = 0. What is the units digit of w?
3
Let c = -27 + 25. Let q be c/7*(-16 + 2). Suppose q*l - 291 = 5*r, -2*l + 58 = 4*r - 120. What is the tens digit of l?
7
Let d(m) = m**3 + 8*m**2 + 6*m + 2. Let p be d(-7). Let j(c) = -12*c - 6. Let g(b) = -11*b - 4. Let x(o) = -5*g(o) + 4*j(o). What is the tens digit of x(p)?
5
Let u be (78 + -4)*22/4. Let t = u + -29. What is the hundreds digit of t?
3
Let u(i) = -15*i - 11. Let d(c) = -7*c - 5. Let p(a) = -13*d(a) + 6*u(a). Let o be p(11). What is the tens digit of (o/(-6))/(10/(-450))?
7
Suppose 0 = -14*y - 19735 + 85703. What is the thousands digit of y?
4
Suppose 73*m - 64*m = 19665. What is the thousands digit of m?
2
What is the units digit of 28914/14 + 27/(2079/(-22))?
5
Let b = 7805 + -581. What is the units digit of b?
4
Let o be (-15)/(-2)*7/(-21)*-16. Let l = -35 + o. Suppose 5*z + 0*s = 2*s + 153, s - 156 = -l*z. What is the units digit of z?
1
Let n(a) = 10*a**2 - 163*a - 33. What is the units digit of n(30)?
7
Let w(m) = m + 1. Let u(a) = -a + 13. Let k(p) = u(p) + 4*w(p). What is the tens digit of k(4)?
2
Let v(f) = 2*f**3 + 15*f**2 + 5*f + 4. Let m be v(-4). Let p = m + 85. What is the tens digit of p?
8
Suppose -u - 2 = -2*u. Suppose -3*w - 3*v = -8*w + 1626, -u*v + 1314 = 4*w. What is the hundreds digit of w?
3
Let o(m) = 7*m**3 - 15*m**2 - 2*m + 8. Let w(c) = 8*c**3 - 17*c**2 - 2*c + 8. Let l(b) = 3*o(b) - 2*w(b). What is the hundreds digit of l(5)?
3
Let o be (12/(-14))/(-2)*7. Let q be 84/18 - (-1)/o. Suppose -90 = -q*a + 380. What is the tens digit of a?
9
Let a(h) = 2285*h + 5. What is the thousands digit of a(4)?
9
Let a = 1183 - 817. Let q = a - -43. What is the units digit of q?
9
Let k = -2 - -4. Let d be 15/((-105)/(-686)) - -7. What is the units digit of (85/d - k/14)*15?
0
Let o be 4/(-14) - 17190/(-42). Suppose -2*a = 5*b - 2001, -b + a + 3*a = -o. What is the hundreds digit of b?
4
Suppose -4*d + 7*d - 2*s = 41, 0 = 2*d + 2*s - 24. Suppose -d*h = 270 - 2974. What is the units digit of h?
8
Suppose -o = 13 - 13. Suppose -r = 3*d - 374, -r + o*d + 384 = -2*d. What is the hundreds digit of r?
3
Suppose 0 = 5*b - p - 4476, 3*b + 4*p = 3217 - 536. Suppose 4*f - 1808 = 4*g, 5*g - 501 = -3*f + b. What is the units digit of f?
7
Suppose -b - 5 + 18 = 3*t, -t = 3*b - 31. Let x = b + 14. What is the tens digit of 70 - ((-39)/18 - (-4)/x)?
7
Suppose -3*g - 19 + 25 = 0. Suppose 0*m = g*m, 3*t + 4*m - 6 = 0. Suppose -2*c = -5*z + 25, -4 + 13 = t*z - c. What is the units digit of z?
7
Let u(v) = -v**2 - 3*v + 5. Let k be u(-5). Let i be (-2 + 3)*k/((-10)/6). What is the units digit of 2 - 1/(i/(-120))?
2
Let n(u) = 48*u**2 - 9*u + 4. Let t(f) = 24*f**2 - 4*f + 2. Let l(o) = -3*n(o) + 7*t(o). Suppose -y - 48 = -46. What is the units digit of l(y)?
0
Let n(o) = 404*o + 834. What is the tens digit of n(-2)?
2
Let m(a) = 4*a**2 - 13*a + 54. Let f(u) = -u**2 + u - 1. Let r(t) = 3*f(t) + m(t). What is the tens digit of r(-7)?
7
Let m = -4 + 8. Suppose -m*h - 68 = -4*s, 5*h + 3*s = -s - 94. What is the tens digit of (2 + 0)*(-747)/h?
8
Suppose 22*r + 24*r = 28*r + 38448. What is the tens digit of r?
3
Suppose -3*c - t = -11, -2*c + 6 = 4*t - 2*t. What is the hundreds digit of 187 + 1*12/c?
1
Suppose 0 = -5*j - j + 18. Suppose -c + 2152 = j*c. Suppose 0 = 5*s + 173 - c. What is the tens digit of s?
7
Let u(b) = -21 - 5*b - 3*b - 15. Suppose 3*z + 24 = -3*v + 3, -2*z - 38 = -4*v. What is the tens digit of u(z)?
5
Let t(p) = 3*p - 18*p - 11*p + 20. What is the hundreds digit of t(-5)?
1
Suppose -91*m + 86*m + 32700 = 4*y, 8*m = 5*y + 52320. What is the thousands digit of m?
6
Let c = 450 + 3957. What is the thousands digit of c?
4
Let p(n) = -102*n**3 - 10*n**2 - 37*n - 73. What is the hundreds digit of p(-4)?
4
Suppose -2*c + 16 = 6*c. Suppose c*b + 13*b - 6315 = 0. What is the hundreds digit of b?
4
Suppose -11*r - 3*r = -15*r + 3527. What is the thousands digit of r?
3
Suppose 4*c - o - 2*o = -129, -4*c = o + 149. Let g = c + 75. Let h = g - -53. What is the units digit of h?
2
Let h be ((8/6)/(4/96))/2. Suppose h*j - 812 = 20*j. Let p = -116 - j. What is the tens digit of p?
8
Let g = 144 + -153. What is the units digit of g/((-100)/217 - (-6)/14)?
9
Suppose -7*z = -1550 - 6024. Suppose -11*v + z = -1734. What is the units digit of v?
6
Suppose 39*k - 273148 = -90584 + 67660. What is the thousands digit of k?
6
Suppose 3*v - v = -2*z + 42, -19 = -z - 2*v. Suppose 113 = 4*c + 313. Let d = z - c. What is the units digit of d?
3
Let h(m) be the second derivative of -m**5/20 + m**4/2 + m**3 + 5*m**2 + 74*m. What is the units digit of h(7)?
3
Let c(v) = 3*v - 15. Let g be c(6). Suppose -5*p = -3*l + 3, 0 = -l - 2*p + 9 + g. What is the tens digit of ((-24)/(-3))/(l/9)?
1
Suppose p - 538 = 3*i, p - 5*p + 2*i = -2202. Let f = p + -205. What is the units digit of f?
8
What is the thousands digit of (-8)/2 + -2 + 5 - (-8386 + -1)?
8
Let r be (10/(-8))/((-7)/(-28)). Let w = 32 - r. Suppose 88 = 5*y - w. What is the units digit of y?
5
Let c(n) = -7*n**3 - 5*n**2 - 8*n - 16. Suppose -k + 63 = 67. What is the tens digit of c(k)?
8
Let p = 9740 - 6580. What is the tens digit of p?
6
Suppose y = -3*s + 6408, 8*y + 12784 = 10*y - 2*s. What is the units digit of y?
6
Suppose 3*z + g = -5, -9*z + 8*z = g + 3. Suppose -3*s = -s - 4. What is the units digit of z - -73 - (0 - s)?
4
Let i(v) = -v - 1. Let s(o) = -5*o + 11. Let h(m) = -2*i(m) - s(m). Let u be h(2). Suppose 2*d - 121 = 3*x - 6*x, d - 78 = -u*x. What is the tens digit of d?
5
Let k(a) be the first derivative of 3*a**4 + a**2/2 - 6*a + 37. What is the units digit of k(2)?
2
Let x be (-40)/80 - 35/(-2). Suppose -2*h = u - 120 + x, 4*h - 307 = -3*u. What is the units digit of u?
1
Suppose -4*p + 27361 + 5419 = 0. What is the tens digit of p?
9
Let n(z) = 970*z - 565. What is the units digit of n(3)?
5
Suppose -16*l + 77 = 13. Suppose -l*r - 992 = -2*w - 104, -3*r - 891 = -2*w. What is the tens digit of w?
5
Suppose 4901 = -23*g - 8025. Let q = g - -793. What is the tens digit of q?
3
Let n = 2806 - 625. What is the thousands digit of n?
2
Suppose -2*c = h - 3, 4*c = c. Let p = 8 - h. Suppose s = -2*z + 141, 2*z = -2*z + p*s + 317. What is the units digit of z?
3
Suppose i - 3*g - 5 = -0, 5*i - 12 = 2*g. Suppose i = -n, 2*v - 18 = -7*n + 2*n. Let u = 38 - v. What is the tens digit of u?
2
Let v(a) = -16*a + 37. Suppose -3*y + 6 - 25 = z, 5 = -5*z + 3*y. What is the units digit of v(z)?
1
What is the hundreds digit of 28/(-224) + 158859/24?
6
Let k = -105 - -110. Let l(d) = 18*d**2 - 9*d + 1. What is the hundreds digit of l(k)?
4
Let l(z) = -z**2 + 6*z + 15. Suppose -14 = -h - 4*t + 2, 26 = 5*h + 2*t. What is the tens digit of l(h)?
2
Let j(c) be the first derivative of -c**2 + 14*c + 11. Let k be j(0). Let p = 34 - k. What is the units digit of p?
0
Let y(w) = w**2 - 7*w - 22. Let s be y(10). Let f(g) = 13*g + 22. What is the tens digit of f(s)?
2
Suppose 0 = 7*m - 13*m + 5628. Suppose m = 17*h - 10*h. What is the tens digit of h?
3
Let c(m) = 8*m**3 - 7*m**2 + 35*m + 9. What is the hundreds digit of c(7)?
6
Let x(g) = 8083*g**2 - 40*g - 39. What is the thousands digit of x(-1)?
8
Let b(r) = -40*r - 90. Let f(u) = 14*u + 30. Let p(j) = -3*b(j) - 8*f(j). What is the tens digit of p(31)?
7
Suppose -6*g - 15366 + 73010 = l, 4*g = 2*l + 38440. What is the thousands digit of g?
9
Let n be ((-3)/12 - 2)*(-24)/9. Suppose 0 = 4*v, -4*v - 35 = -11*b + n*b. Suppose b*p = 6*p + 19. What is the units digit of p?
9
Suppose 5*h = -2*c + 11799, 4*h = -3 + 7. What is the hundreds digit of c?
8
Suppose k - 4 = -a - 0*k, 4*a - 24 = 4*k. Suppose -2*c + 121 = a*j - 263, -c - 378 = -5*j. What is the units digit of j?
6
Suppose -224 = -5*g - 199, 4*x - 4*g = 968. What is the units digit of x?
7
What is the thousands digit of ((-6293 - 3)/((-2)/1))/(-1)*-2?
6
Suppose 0 = 48*a - 263189 + 36917. What is the tens digit of a?
1
Let a(r) = -r + 17. Suppose 5*b - 86 = -4*w, -2*b + 60 = 2*b + w. Let h be a(b). Suppose -2*t - s + 192 = -3*s, h*t - 5*s = 280. What is the tens digit of t?
0
Let f = 41 - 44. Let t be (8/(-12))/((-2)/f). Let s(p) = -64*p - 3. What is the tens digit of s(t)?
6
Suppose 0 = 5*n - 8*g + 11*g - 72, -5*g + 44 = 2*n. Suppose -n*t + 1941 = -1431. What is the tens digit of t?
8
Suppose -8*t + 1 = -7*t. Suppose t = -x + 3. Suppose -x*b + 5*b = 102. What is the tens digit of b?
3
What is the units digit of (-8)/(224/(-12)) - (-60838)/(-14)*-1?
6
Let r = 90 + -77. Suppose r*b = -8*b + 6993. What is the tens digit of b?
3
Suppose 9640*z = 9647*z - 52423. What is the tens digit of z?
8
Let x be 5/(-25) - 22/(-10). Suppose -2*q = x - 6. Suppose 5 = q*m + 3*p - 38, -3*m = 3*p - 72. What is the tens digit of m?
2
Suppose 4*g = 5*c + 16615, -9*g + 5*g + 16665 = 5*c. What is the tens digit of g?
6
Let x(g) = g**3 + 13*g**2 + 8. Let i be x(-13). Suppose -i = 3*k - 23. Suppose 5*b - 235 = k*q, -5*q + 161 = -b + 5*b. What is the tens digit of b?
4
Let y = -53 + 12. Let z = y + 48. Suppose -3*t - 89 = -2*q, 5*q = -3*t + z*t + 226. What is the units digit of q?
6
Suppose -16*w - 6*w = -4158. What is the hundreds digit of w?
1
Suppose -209*u + 208*u = -2. What is the tens digit of (-3010)/7*u/(-4)?
1
Let y = -19942 - -27942. What is the thousands digit of y?
8
Suppose -f + 0*f = 0. Let d(z) = z**3 + 2*z + 14. Let x be d(f). Let c = 3 + x. What is the tens digit of c?
1
Let t(u) = -u**2 + 2*u + 39. Let d be t(0). Let j = d + -48. What is the units digit of 3/9 - (-1 + 222/j)?
6
Suppose 17771 - 69471 = -47*j. What is the units digit of j?
0
Let j be (-30)/(-25)*25*(-28)/3. What is the tens digit of (j/(-6) + -3)*9 - -1?
9
Suppose 4*h + 11*h = -2955. Let b = h + 372. What is the units digit of b?
5
Let z be (-11)/(-77) + (-1)/7. Let l be 1 - (z + 4)/4. Suppose -5*m = -4*g + g + 113, 5*g + m - 207 = l. What is the units digit of g?
1
Suppose -4*s + 1359 + 949 = 0. Let w = s + -182. What is the tens digit of w?
9
Suppose 5*k - 91*x - 40340 = -96*x, 0 = -5*k + 5*x + 40330. What is the hundreds digit of k?
0
Let v = -308 - -449. Let c(l) = -3*l**3 + l**2 - 5*l + 2. Let a be c(3). Let t = v + a. What is the units digit of t?
6
Let j(t) = -t - 32. Let q be 4/(-10) + 8/20. Let h be j(q). Let d = 65 + h. What is the tens digit of d?
3
Let z(r) = -r**3 - 4*r**2 - 4*r - 2. Let y be z(-3). Let q be 0 - 5 - (y - 2). What is the tens digit of ((-102)/q + -4)*4/1?
8
Suppose z - 2*v = 328, -z + v = 3*z - 1277. What is the hundreds digit of z?
3
Suppose -914 = 12*y - 170. Let s = 268 + y. What is the hundreds digit of s?
2
Let x(r) be the second derivative of 13*r**4/4 - r**3/6 + 4*r**2 + 6*r. Let k(h) be the first derivative of x(h). What is the tens digit of k(1)?
7
Suppose -5 = -g - 6. Let x be 3 - g*(4 + 9). Let l = x + 5. What is the tens digit of l?
2
Suppose t - j + 3*j = 6, -t - 3*j + 9 = 0. Let m be ((-4 + 1)/3)/(4/(-200)). Let w = m - t. What is the tens digit of w?
5
Suppose 153 = 5*q - 1952. Suppose 4*p - 4*c - q = c, 4*p + c - 439 = 0. Suppose 497 = 4*z + p. What is the tens digit of z?
9
Let o(v) = -8*v - 7. Let g be o(-2). Suppose -4*m = -3*y - 31, 5*m - 65 = 4*y - g*y. What is the units digit of 1164/15 - (-4)/m?
8
What is the hundreds digit of (-32)/(-3)*((-17055)/(-20) + 15)?
2
Let b(h) = 245*h + 1168. What is the hundreds digit of b(21)?
3
Suppose -44*f + 49*f = 1120. Suppose -316 = 2*r - p - 0*p, -3*r - 3*p - 465 = 0. Let h = f + r. What is the tens digit of h?
6
Suppose 0 = -y + r - 0*r - 9, y - 4*r = -21. Let j(v) = 2*v + 10. Let t be j(y). Suppose -k = -3*c - 83, 3*k - 269 = -t*k - c. What is the units digit of k?
9
Let m(s) = -4*s**2 - 241*s + 162. What is the thousands digit of m(-50)?
2
Let v(p) = 2*p**3 + 154*p**2 + 54*p + 151. What is the hundreds digit of v(-76)?
5
Let p(b) = 4*b**3 + 3245. What is the units digit of p(0)?
5
Suppose -4*c - 2*f + 1130 = -1938, -3835 = -5*c - 3*f. What is the hundreds digit of c?
7
Suppose 2*r - 88 = -2*r. Let w = r - 19. Suppose -104 + 335 = w*m. What is the units digit of m?
7
Suppose -141 - 433 = -q. Suppose -4*w = 2*o - 0*o - 534, -2*o + 4*w + q = 0. What is the hundreds digit of o?
2
Let b(k) = 11*k. Let w = -7 - -10. Suppose -w*f + 54 = 3*f. What is the units digit of b(f)?
9
Suppose -3*v - v = w - 81, 2*v = w + 39. Suppose v*s - 6065 - 1175 = 0. What is the tens digit of s?
6
Let n(m) = -m**2 - 6*m + 13. Let d be (-4)/(-10)*-1 + (-18)/(-45). Suppose d = 2*w - a + 6 + 4, -a = -5*w - 28. What is the units digit of n(w)?
3
Let o = -147 + 150. What is the units digit of 354/(-72)*-4 - (-1)/o?
0
Let c(y) = -y**2 + 25*y + 32. Let o be c(26). Suppose -5*b + o*b = -5*z + 311, 0 = -5*b - 3*z + 1511. What is the hundreds digit of b?
3
Let y = -646 + 626. Let f(u) = 3*u**3 + 2*u**2 + 5*u + 4. Let m be f(-3). Let i = y - m. What is the tens digit of i?
5
Let k = -16200 - -25418. What is the tens digit of k?
1
Suppose z = -23*h + 18*h + 1842, 4*h - 8 = 0. What is the thousands digit of z?
1
Suppose 0 = -2*y + 2*l + 2, -3 = -2*y - 5*l + 27. Suppose -20 + 30 = y*c. Suppose -71 = -w + c*a, 0 = 2*a + 3*a - 5. What is the tens digit of w?
7
What is the units digit of ((-250)/(-150) + (-552)/(-1))*9?
3
Let j = -2320 + 9478. What is the tens digit of j?
5
Let q be 2 + 6/3 + 146 + 8. Let c = q - 15. What is the units digit of c?
3
Suppose 5*o + 2*l = 17, -5*l + 15 = 2*o + 4. Suppose f = -2*x - 0*f + 15, x + o*f - 15 = 0. What is the units digit of (x/8)/(6/24)?
3
Let c be -5*(20 + -19 + 0/(-1)). What is the hundreds digit of ((-18)/c)/((-8)/(-900))?
4
Suppose -i = 2*f - 19, -5*f + 4*i = i - 75. Let s = 339 - 170. Suppose -c + f = 2*a - 24, s = 4*c + 3*a. What is the units digit of c?
6
Suppose 4*i + u = 28202 + 6277, 17232 = 2*i + 2*u. What is the hundreds digit of i?
6
Let b be (-1)/6 - (415/30 + -6). What is the hundreds digit of (109*b/5)/(10/(-25))?
4
Let v = -1111 - -663. What is the units digit of v/(-6) - (-26)/78?
5
Let g(b) = 119*b**2 + 25*b + 123. What is the hundreds digit of g(-9)?
5
Suppose 2*i - x = 8, -6 = -2*i - x + 3*x. Suppose -553 = -i*g + 2*l, -3*l + 154 = 5*g - 379. What is the tens digit of g?
0
Let j(c) = -147*c - 19. Suppose 4*b + 4 = -2*m, 5*m - 2*b + 5*b + 10 = 0. What is the units digit of j(m)?
5
Let w = -147 + 126. What is the tens digit of 64/(-6)*-6*w/(-24)?
5
What is the thousands digit of 2 + (6353/1 - 13)?
6
Let g = -666 - -4278. What is the tens digit of g?
1
What is the hundreds digit of 12/(-5 + 2) + (-8 - -9) + 1650?
6
Let c = 40 + 20. Let n be (6/(-4))/((-2)/4). Suppose n*r - 144 = c. What is the units digit of r?
8
Let j(o) = 53*o**3 - 8*o**2 + 10*o - 30. What is the hundreds digit of j(5)?
4
Suppose 0 = 19*k - 16*k - q - 23554, -3*q = 4*k - 31388. What is the tens digit of k?
5
Let d = 157 + -146. Suppose p + 1770 = d*p. What is the hundreds digit of p?
1
Suppose 0*a = -3*c - 2*a + 2906, 2902 = 3*c - 2*a. Let d = -646 + c. What is the hundreds digit of d?
3
Let q = -1603 + 2759. What is the thousands digit of q?
1
Let u be 8/(-10)*75/30. Let t be (-136)/u - (16 + -20). Suppose -2*l + 2*z - t = -174, 130 = 2*l + 5*z. What is the units digit of l?
5
Let i(z) = 17*z**2 - 62*z + 158. What is the thousands digit of i(-14)?
4
Suppose -2*w + 5*w - 4*c - 20 = 0, -5*w + 5*c = -30. What is the units digit of ((-117)/w)/(7/(-28))?
7
Let y(i) = i**3 - 6*i**2 + 4*i - 3. Let v = -40 + 41. Let q be (-15 - -14)*(-6 - v/1). What is the units digit of y(q)?
4
Suppose -25 = -7*o - 4. Let l = o + 1. Suppose -t + 46 = -l*m, -3*t + 99 = -t - m. What is the tens digit of t?
5
Let u be 12/114 - 2/((-76)/6418). Let x = 521 - u. What is the hundreds digit of x?
3
Suppose 24*r + 4*r = -6*r + 222836. What is the tens digit of r?
5
Suppose -3*h + 3*y + 2*y - 9 = 0, h - 5 = -y. Suppose -5*f - 2*r - 310 = h*r, 5*r = -5*f - 315. Let u = -19 - f. What is the tens digit of u?
3
What is the hundreds digit of (-18)/(-189) - (-76898)/42?
8
Let v be (-1150)/(-2) - (-6)/(-2). Suppose q = -q + v. What is the units digit of q?
6
Suppose -4*p + 9 = 25, 4*p - 176 = w. Let l = w + 512. What is the tens digit of l?
2
Suppose 15619 = 12*y - 20933. What is the thousands digit of y?
3
Let h be 1*946 + (2 - -2). Suppose -14*z + h + 492 = 0. What is the tens digit of z?
0
What is the units digit of (-424776)/(-70) + (-15)/35 + 10/50?
8
Let a(n) = -2*n**2 - n - 1. Let y be a(1). Let q be (-33)/(-22) - 2/y. Suppose q = d, -4*u + 4*d - 2*d + 148 = 0. What is the units digit of u?
8
Suppose 39484 = -14*i + 18*i - 4*o, 4*i + o - 39509 = 0. What is the hundreds digit of i?
8
Let b be (-3 + 7)/(-1*6/396). What is the units digit of b/(-1) + (-1 - 1)?
2
Let c = 2 + 3. Suppose -125*j = -127*j + 8. What is the units digit of (4/c)/j - 548/(-10)?
5
Let m be (-3718)/(-12) - (1 - 35/30). Let r = m + -225. What is the units digit of r?
5
Let z(l) = 5 + 2 + 17*l**2 - 21 + 4*l - l**3. What is the hundreds digit of z(16)?
3
Let o(m) = -132*m - 2. Let n be o(-1). Let i = n + -44. What is the tens digit of i?
8
Let j(d) be the first derivative of 13*d**3/3 - d**2/2 - d - 8. Let g be 5/(-4) - 3/(-11 - 1). What is the tens digit of j(g)?
1
Let y = -66 + 64. What is the tens digit of 1311*2*y/(-12)?
3
What is the thousands digit of 3/9 + (-850750)/(-150)?
5
Let g(o) = 2*o**3 + 119*o**2 - 46*o - 11. What is the tens digit of g(-59)?
8
Suppose z = 4*i - 35, -4*z - 118 - 33 = -5*i. What is the tens digit of (2 + -83)*z/9?
5
Let b = 24390 - 17017. What is the units digit of b?
3
Let h(q) = -23 - 10*q + 39 - 20. Let u be h(-10). Suppose -u = -4*n + 184. What is the units digit of n?
0
Suppose -156*s = 4*o - 153*s - 8952, -4*s = 4*o - 8948. What is the tens digit of o?
4
Let r = -3 - -6. Let u(j) = -54*j**3 - 10*j**2 + 9*j - 3*j + 25 + 53*j**r. What is the tens digit of u(-11)?
8
Let n = 125 - 120. Suppose -2*q + 322 = n*q. What is the tens digit of q?
4
Let n(i) = -7 + 2*i**2 + 19*i + 10 + 1. What is the units digit of n(6)?
0
Let v = -69 - -133. Let z = 398 + v. What is the hundreds digit of z?
4
Suppose -7 - 3 = -2*t. Suppose 0 = 2*m + 4*x + 13 - 5, 3*x - 8 = -t*m. Suppose 4*p - m*n = 244, 4*p + 69 = 5*p + n. What is the units digit of p?
5
Let s be -4 + 2 - (1 + -19). What is the units digit of 9/(-24) - (0 - 6870/s)?
9
Let q = -288 + 479. Suppose -q - 163 = -3*k - 2*h, k + 3*h = 118. What is the units digit of k?
8
What is the hundreds digit of (-22 - 8)*-109 + -10 + 1?
2
Let v(a) = 183*a + 1278. What is the thousands digit of v(20)?
4
Suppose -328 - 216 = 4*f. Let l = -202 + f. What is the units digit of l/(-6) - 2/6?
6
Let k(u) = -54*u - 274. What is the hundreds digit of k(-60)?
9
Let f = 15 + -21. Let k be f/8 - 5 - 3/(-4). Let v(l) = 3*l**2 + l + 2. What is the tens digit of v(k)?
7
Let a = -7 - -10. What is the tens digit of 4/(-2) + a/9*1017?
3
Suppose -p + 2836 + 3576 - 2200 = 0. What is the tens digit of p?
1
Let a(v) = -140*v - 1795. What is the hundreds digit of a(-63)?
0
Let x = 2057 - -3264. What is the thousands digit of x?
5
Let v(t) = t**2 + 2*t + 2. Let k be v(0). Let n be k*1*(-36)/(-18). Suppose n*x - 108 = 248. What is the units digit of x?
9
Suppose 0 = 5985*p - 5968*p - 64872. What is the hundreds digit of p?
8
Let y = -41 + 49. Suppose -12 = 4*s + 4*l, -5*l - y = 4*s + 9. What is the tens digit of 4776/60 - ((-26)/(-10) - s)?
7
Let y = 7796 - 4408. What is the hundreds digit of y?
3
Let y(n) = n**3 + 4*n**2 - 9*n + 19. Let f be y(-6). Let p(k) = 233*k - 6. What is the units digit of p(f)?
7
Let x(i) = 11*i + 124. Let p be x(-7). Let u = p - -212. What is the units digit of u?
9
Let t(o) = -o**2 - 26*o - 58. Let p be t(-17). Let z = 136 - p. What is the tens digit of z?
4
Suppose -93*v + 174211 = 67984 - 210624. What is the thousands digit of v?
3
Let w(f) = 2*f**2 + 24*f + 9. Let n be w(-12). Suppose -z + 3*x = -94, 5 = 8*x - n*x. What is the units digit of z?
9
Suppose -i - 56 = 3*i. Let j be i/(-98) - 44/14. What is the units digit of (4 - (-105)/(-9))*j?
3
Let q(p) = -p**2 - 6*p - 7. Let j be q(-3). Suppose -j*v - 3 = -v. Let f(l) = -l**3 + 2*l**2 - 2*l - 4. What is the units digit of f(v)?
7
Suppose 2*t = 5*y - 34803, 91*y - 27820 = 87*y - 4*t. What is the thousands digit of y?
6
Suppose -1 = -w, -w = -3*v + 3 + 11. Suppose -49 = -5*q - o, -q + 5*o = -v*q + 56. Suppose 7*a + 70 = q*a. What is the units digit of a?
5
Let r = 28 - 28. Suppose -4*s + 335 = -2*s + p, s + 5*p - 172 = r. What is the hundreds digit of s?
1
Let s be (-10 + (-100)/(-8))/(1/(-4)). Let b(f) be the third derivative of f**5/30 + 3*f**4/8 - 7*f**3/2 + 2*f**2. What is the units digit of b(s)?
9
Suppose -34504 = 4*o - 21*o + 19964. What is the tens digit of o?
0
Let w = 175 - 95. Suppose 5*a + w + 30 = 5*l, -52 = -3*l - 4*a. Let u = l - -23. What is the units digit of u?
3
Let n = 1459 - -4474. What is the thousands digit of n?
5
Suppose 0 = 3*p + 4*a + 11, 2*p + 5*a + 5 + 7 = 0. Let u be ((-36)/(-60))/(p/(-10)). Let i(s) = s**3 - 5*s**2 - 3*s + 1. What is the tens digit of i(u)?
1
Suppose -22 = -3*l - 7. Suppose l*r + 0*r = 5. What is the units digit of 22 - (6/r - 3)?
9
Let h(x) = -8*x**2 + 5*x - 5. Let j be h(6). Let b = -147 - j. What is the units digit of b?
6
Let a(s) = 247*s**2 - 7*s - 2. Let n(h) = 740*h**2 - 20*h - 4. Let p(q) = -8*a(q) + 3*n(q). What is the units digit of p(1)?
4
Suppose 2*s + 3 - 47 = 4*c, -3*c = 5*s - 71. Let a = 336 + -326. Let u = s + a. What is the units digit of u?
6
Let c(o) = o**3 + 11*o**2 - 13*o + 13. Let r be c(-12). Let n = 32 + r. Suppose 2*k - 53 = n. What is the units digit of k?
5
Let a(t) be the third derivative of t**4/8 + 13*t**3/3 - 27*t**2 + t. What is the units digit of a(6)?
4
Let h be -1 + 7 - (6 + -5). Suppose -47 - 408 = -h*l. What is the tens digit of l?
9
Suppose -q = 8*q - 18. Suppose 0*f - f = -5*h - 8, 5*f - 17 = q*h. Suppose 5*p - 376 = o, 2*p - 2*o - 132 = f*o. What is the units digit of p?
6
What is the hundreds digit of 3 - 130*(-8 + -1 + (-7 - -12))?
5
Suppose 11*h = 13*h - 62. Let g = h - 17. Suppose 2*b = 114 + g. What is the units digit of b?
4
Suppose o - 3*o + 6 = 0. Suppose 0 = -5*c + 5*d - 90, 5*c - o*d + 82 = -2*d. What is the units digit of (-332)/c + -2 - 1/(-4)?
9
Let r(w) = 4*w + 73. Let v be r(-17). Suppose -2*d + 240 = -4*b, -615 = 7*d - 12*d + v*b. What is the units digit of d?
6
What is the units digit of (-10)/(-45) + (-387410)/(-342)?
3
Let p(t) = 46*t**2 + 18*t + 123. What is the hundreds digit of p(9)?
0
Let w = 29 - 27. Suppose -w*k + 45 + 43 = 0. Suppose -k = 4*s - 396. What is the units digit of s?
8
Suppose 19*g = 6*g + 99424. What is the tens digit of g?
4
Suppose -b + 1628 = 19*k - 15*k, 3271 = 2*b + 3*k. What is the thousands digit of b?
1
Let h be (8064/(-35))/(((-12)/(-20))/(-3)). Let i = h + -759. What is the tens digit of i?
9
Suppose -20 = -3*g - 11. Suppose g*i = f + 9, -f = i + i - 16. What is the tens digit of (-2)/(-3) + f*(-312)/(-27)?
7
Let y(q) = 3*q**2 + 32*q**3 + 69*q + 9*q**3 - 71*q. What is the hundreds digit of y(2)?
3
Let x be (-15)/(2*(-9)/12). Let g = x - 0. Suppose 0 = 7*q - g*q + 225. What is the tens digit of q?
7
Let o be 3*(-4)/24*4. What is the units digit of 10 - (o + 6) - -338?
4
Let z(l) = -l**3 - 7*l**2 - 7*l - 1. Let b be z(-6). Suppose -b*f + 466 = -2*n, -n - 300 = -2*f - 113. What is the tens digit of f?
9
Let z(f) = -5*f. Let c be z(-1). Suppose 0 = -c*b - 5 - 0, -1182 = -3*s - 3*b. What is the units digit of s?
5
Suppose -4*l + l = 222. Let m = 120 + l. Suppose -z - 8 = 2*j - m, -j = 4*z - 166. What is the units digit of z?
2
Let r(z) = 2*z**3 + z**2 - z. Let s be r(1). Let w(a) = 2*a**2 + a**s + 7*a + 2*a**2 + 10 - 2*a**2. What is the tens digit of w(-4)?
3
Let g be (-3 - 0 - -6)/(5/410). Suppose -g = -i + 5*s, -i = s - 0*s - 258. What is the tens digit of i?
5
Let j be (1 - 0)*(589 - 1)/4. Let a(l) = 96*l - 1. Let p be a(-1). Let t = p + j. What is the units digit of t?
0
What is the hundreds digit of (-1)/(6/265950*-5)?
8
What is the thousands digit of 216/(-504) - 63871/(-7)?
9
Let p be 18/(-15)*-2*10/8. Suppose -2*u = -j - 306, p*u = 2*j + 469 - 8. What is the units digit of u?
1
Suppose 4*j + 1 = y + 5*j, 5*j = -2*y - 4. Suppose 490 + 53 = y*w. Suppose w + 116 = 3*n. What is the units digit of n?
9
Let c(b) = 562*b**2 - 109*b - 221. What is the thousands digit of c(-2)?
2
Let v be (-11)/(-4) - 1/(-4). Suppose -4*l - 28 = -4*p, -l + 2*p = v*p + 3. Let a(q) = q**2 - 10*q + 12. What is the tens digit of a(l)?
8
Let s = -17839 - -26598. What is the units digit of s?
9
Let o = 19951 + -10206. What is the hundreds digit of o?
7
Let k = 25 - -206. Let c = k - -45. What is the hundreds digit of c?
2
Let c = -15960 - -25139. What is the thousands digit of c?
9
Suppose -2*t + 7945 = s - 4*t, -14*t - 7969 = -s. What is the units digit of s?
1
Let j = 14611 + -9980. What is the units digit of j?
1
Suppose -5*a + 10 = 0, -r + a + 8099 = -2*a. What is the thousands digit of r?
8
Let b be 63/(-105) + 36/10 - -815. Suppose 0 = 3*w - 5*m - b, -474 = 4*w + 5*m - 1623. What is the units digit of w?
1
Let w(k) = -k**3 - 6*k**2 + 3*k + 20. Let m be w(-6). What is the hundreds digit of (1 - m) + (-31 - -262)?
2
Let w be (96/(-8))/(1 - 2). Suppose 6 = -c + 5*i, 0 = -5*i + 8 + w. Let j(m) = m**2 - 11*m. What is the tens digit of j(c)?
4
Let d(l) = -3*l + 19*l**2 - 20*l**2 + 11*l - 5. Let t be d(6). Suppose t*a = 75 + 86. What is the tens digit of a?
2
Let c = 104 - -52. Let z = -55 + c. What is the units digit of z?
1
Let s(p) = -9*p + 40. Let v be s(4). Suppose v*f - 3*n = 1025, 2*n - 1023 = -4*f + 7*n. What is the hundreds digit of f?
2
Let o be (1 - 0)*(-2 + -1 - -5). Let a(j) = 18 - o - 7*j + j**2 + 4 + 0*j. What is the units digit of a(9)?
8
Suppose 35 = 5*k - 5*n - 0*n, -4*k - 7 = 3*n. Let i = -2928 + -177. What is the tens digit of k/(-7) + i/(-63)?
4
Let u(r) = -r**3 - 6*r**2 - 10*r - 23. Let s be u(-5). Suppose -s*g - p - p = -780, -g + p = -386. What is the tens digit of g?
8
Let f(h) = -3*h + 2. Let y be f(0). Let i(m) = 5 + 6*m**2 + 5*m**y + 11*m - 4*m**3 + 6*m**3 - m**3. What is the tens digit of i(-9)?
6
Let t = -8 + 9. Let o be (3 - 2/t) + 4. Suppose 70 = p - 3*s, 3*s + 221 = 3*p + o*s. What is the units digit of p?
3
Suppose -5 = -5*a, 3*a = -4*f + 26 + 1. What is the units digit of 194 - (f + 3)/3?
1
Let j = -2798 + 7149. What is the thousands digit of j?
4
Let j be 1*((-6)/(-24) - 38/(-8)). Let x be 0 - ((j - -1)/(-3) - 0). What is the units digit of (-60 - -1)/((-2)/x) + -2?
7
Suppose 3*f - 4*p = -2*f + 6422, -5*p + 1267 = f. What is the thousands digit of f?
1
Let m = 24 - 20. Let z = -43 + 43. Suppose m*p - 5*p + 60 = z. What is the units digit of p?
0
Let t = 221 - 259. What is the tens digit of (-38744)/(-152) - 4/t?
5
Suppose -3*m - w + 7337 = 0, 4894 = 108*m - 106*m - 2*w. What is the tens digit of m?
4
Let q(f) = f**2 - 10*f + 15. Let u be (78/(-4))/(18/(-24)). Let i = u + -12. What is the units digit of q(i)?
1
Let m(q) be the first derivative of -8*q**2 + 23*q + 72. What is the tens digit of m(-9)?
6
Suppose -3*v - 105 = -0*v. Let j be -130*1*14/v. Let t = 90 - j. What is the tens digit of t?
3
Let m be 1/((-16)/20 + 1). Let a(v) = 3*v - 25. Let i be a(m). What is the tens digit of (2/3)/(i/(-1155))?
7
Suppose -2*p + 0 = -8. Suppose 0 = -k + p*s + 8, k + 3 = -2*s - 1. Suppose k = 2*y - 7 - 191. What is the units digit of y?
9
Let d(u) = u - 2. Let c(r) = r**2 + 14*r + 30. Let w(o) = c(o) + 2*d(o). What is the tens digit of w(12)?
6
Suppose 53 + 27 = -5*z. Let j = z - -13. What is the units digit of 2/j + (-376)/(-6)?
2
Suppose 18230 = 2*b - t, 0 = 2*b - 745*t + 740*t - 18230. What is the hundreds digit of b?
1
Let j be 2 - (-13)/((-26)/(-112)). Let p = 47 + j. What is the hundreds digit of p?
1
Let g = 143 - 272. Let y = 25 + g. Let u = -42 - y. What is the tens digit of u?
6
Let c = -769 + 1306. Let x = -148 + c. What is the units digit of x?
9
Let o be (-14)/(-4)*(-12)/(-14). Suppose u - 4*u - 24 = -3*h, 2*h - 20 = o*u. Suppose 49 + h = b. What is the units digit of b?
3
Let j = 12122 + -8402. What is the tens digit of j?
2
Suppose 0 = 3*r - 2*d - 24288, -3*r - 40493 = -8*r - d. What is the tens digit of r?
9
Let d = 50 - 47. Let x(w) = 8*w**3 - 3*w**2 + 8*w - 2. What is the units digit of x(d)?
1
Suppose -5*g - 125 = 4*q, 4*g = 5*q - 5 - 136. Let s = g + 36. What is the units digit of -38*s/(-4) - (-39)/26?
8
Let l(o) = -12*o**3 - 10*o**2 - o - 9. What is the tens digit of l(-6)?
2
Let g(p) = 9519*p**2 - 22*p - 20. What is the tens digit of g(-1)?
2
Suppose 374 + 166 = 2*n. Let p = 640 + -628. Suppose -p*t + n = -6*t. What is the units digit of t?
5
Let y = 380 - -261. Suppose 2*r + y = 5*u + 3*r, -5*u + 4*r + 636 = 0. What is the tens digit of u?
2
Let k(p) = 9*p - 5. Let x be k(3). What is the tens digit of 54/(-15)*(-605)/x?
9
Let x be 4/4 - (-85)/(-5). Suppose -2*f - 79 = -0*i - 5*i, 0 = -2*f + 6. Let m = i + x. What is the units digit of m?
1
What is the hundreds digit of 4/(-52) - (-631510)/286?
2
Let l = 19821 + -10200. What is the tens digit of l?
2
Let o(k) = 26*k + 20 - 21 + 2*k. Suppose -6*f + 27 = 3*f. What is the tens digit of o(f)?
8
Suppose 0 = 15*t - 57*t + 414792. What is the units digit of t?
6
Suppose -i - 2*o = -395, -3*o + 194 = i - 196. Suppose -9*r + 243 = -i. What is the tens digit of r?
7
Let x(u) = 3*u**3 + 12*u**2 + 25*u - 168. What is the units digit of x(10)?
2
Let q(n) = 3*n**3 - 4*n**2 + 2*n + 4633. What is the tens digit of q(0)?
3
Let c be 9655/30 + (-3)/(-18). Suppose -5*w = -2262 + c. What is the tens digit of w?
8
Let b be -4 - 60/5*-21. Let g = 696 - b. What is the units digit of g?
8
Suppose 92*w = 87*w - 960. Let t = 70 - w. What is the tens digit of t?
6
Let w be 3/2 + 7 + 4945/2. What is the units digit of w/(-6)*-1 - 7/14?
3
Suppose 3 = 3*i - 9. Suppose 25 = 5*a, -5*c + 116 = -3*c + i*a. Suppose -3*t = -72 - c. What is the units digit of t?
0
Let j(z) = 19*z**3 + 3*z**2 + 59*z - 412. What is the tens digit of j(7)?
6
Suppose -60*l - 34*l - 32*l + 567252 = 0. What is the units digit of l?
2
What is the units digit of 2*(2219 + 13 + 9)?
2
Suppose 0 = -4*a + 12, 1850 + 1265 = 4*p + a. Let y = p + -504. What is the hundreds digit of y?
2
Let g(m) = 885*m - 354. What is the tens digit of g(9)?
1
Let b = 5706 + -22. What is the thousands digit of b?
5
Let q be ((-2)/6)/(11/(-99)). Let k be 16/q - (-6)/(-18). What is the tens digit of -68*(1 + (3 - k - 0))?
6
Suppose -5*z = 10*z - 105613 + 778. What is the tens digit of z?
8
Let k be ((-37584)/135)/(2*(-2)/100). Suppose -2*g - 14*g + k = 0. What is the hundreds digit of g?
4
Let s = -85 - 10. Let o(n) = 8*n**2 - 5*n - 8. Let w be o(5). Let y = w + s. What is the tens digit of y?
7
Suppose 4*o + 129612 = 18*o. What is the hundreds digit of o?
2
Suppose -j - m - 585 + 10325 = 0, 0 = 2*j + 4*m - 19486. What is the tens digit of j?
3
Suppose -2 = -q + a, -3*q = -0*q + 5*a - 46. Suppose -5*f - 6 = -q*f. Suppose -4*l - 144 = -r - f*r, 3*r = -2*l + 123. What is the units digit of r?
9
Suppose -71*t = -5*s - 68*t + 38312, -4*s + t + 30644 = 0. What is the thousands digit of s?
7
Let s(b) = b**2 - 2*b + 2. Suppose -2*y + 6*o - o = -8, 4*y - o = -20. Let j be 3/(-2) + y/12 + 10. What is the tens digit of s(j)?
5
Let g be 2/((3/2)/((-6)/(-4))). Let j(x) = x**2 + 3*x**2 + 3*x**2 + 2*x + x**g - 1. What is the units digit of j(1)?
9
Let n be -2 + 7/3 + (-16)/(-6). Suppose 0 = -n*b + 161 + 106. Let p = b + 4. What is the units digit of p?
3
Let m = -74 + -477. Let v = m + 883. What is the tens digit of v?
3
Let u(l) = l**2 - 21*l + 33. Let b = -172 + 193. What is the tens digit of u(b)?
3
Let w(u) = -11*u + 6. Let m be w(9). Let z be (-2)/20 - m/30. Suppose -64 = -z*l + 26. What is the units digit of l?
0
Let i = -6753 - -9613. What is the thousands digit of i?
2
Suppose 552*t - 560*t = -79968. What is the hundreds digit of t?
9
Suppose -12 = j - 116. Suppose 0 = -3*p + 6, -24*w + j = -22*w - 2*p. What is the units digit of w?
4
Suppose 0 = w - 2*v - 160, w - 3*v - 483 = -2*w. Suppose 0 = 4*r - 2 - 2, 4*t = -3*r - 405. Let m = w + t. What is the units digit of m?
0
Let g be 356 - 10/(-5 + 0). Let b = g - -28. What is the tens digit of b?
8
What is the units digit of (3 - 2)/(((-18)/49602)/(-3))?
7
Let t(l) = 109*l**2 + 23*l + 13. What is the thousands digit of t(6)?
4
Let r(k) = -2*k**2 + k + 20. Let q be r(12). Let a = -159 - q. Suppose 4*x - 397 = -0*x - d, x + d = a. What is the hundreds digit of x?
1
Let w(k) be the second derivative of k**5/20 - k**4/3 + k**3/6 + 3*k**2/2 - 15*k. Let d be w(4). What is the units digit of (3 - 1 - (d + -6))*1?
1
What is the units digit of (5/3)/(6*5/93222)?
9
Suppose 0 = -r - 5*r + 240. Let u = r + -33. What is the tens digit of 8/28*-24*(0 - u)?
4
Suppose -93*k + 48*k = -47*k + 15616. What is the tens digit of k?
0
Suppose -3*i - i = -i. Let z(l) = l**3 - l**2 - l + 18. Let s be z(0). Suppose 0 = -i*m + m - s. What is the units digit of m?
8
Suppose -1 = -j + 5*d, -j + 49 = -2*j - 5*d. Let w = j + -209. Let f = -166 - w. What is the units digit of f?
7
Let s = -1 - -1. Suppose -3*w - 15 = -m, -3*m + 5*w - 14 + 43 = s. Suppose -4*d = -m*u - 292, 2*d + 5*u = -3*d + 400. What is the units digit of d?
6
Let n(w) = -w**3 - 5*w**2 + 10*w - 12. Let v be n(-6). Let b = -21 - v. Suppose -235 = -5*j + b. What is the units digit of j?
0
Suppose -4*m - m + 5*w + 300 = 0, -3*m = 2*w - 180. Suppose -6*h + m = -10*h. Let r = 38 + h. What is the units digit of r?
3
Suppose -144*t + 71*t - 74178 = -86*t. What is the units digit of t?
6
Suppose 5*k - 3*t = -69, -3*k + 4*t = k + 60. Let s(a) = a**3 + 15*a**2 - 3*a - 22. What is the tens digit of s(k)?
4
What is the hundreds digit of ((-6)/24 + (-17764)/16)*-2?
2
Let l be (2 - (-70)/(-25))*-5. Let f be ((0 - -2)*1)/(l/1152). Suppose -9*x + 3*x = -f. What is the tens digit of x?
9
What is the thousands digit of 23160/(-45)*(-270)/20?
6
What is the hundreds digit of -3 + 7978 + 8 + (1/(-1))/1?
9
What is the tens digit of (8 - -13477)/3 + (-9)/(-3)?
9
Let w(u) = u**2 + 15*u + 23. Let a be w(-13). What is the units digit of 3 + ((-30)/(-25))/(a/(-15))?
9
Let h(t) = -192*t - 1130. What is the hundreds digit of h(-56)?
6
Suppose 0*v - 108 = -2*v - 2*u, 0 = -5*v - 2*u + 261. Let z = v + -103. Let m = z - -100. What is the tens digit of m?
4
Let f(x) = x**2 + 2*x - 65. Let s be f(7). What is the units digit of (-1 + 9/6)*s + 48?
7
Suppose 6*w = -11*w + 2*w + 70395. What is the thousands digit of w?
4
Suppose 5*n - 4*a - a = 410, 8 = 2*a. Let s = -149 + n. Let d = s - -95. What is the units digit of d?
2
Let j = 8706 + -6216. What is the hundreds digit of j?
4
Suppose -32 = 4*g - 4*k, -k = k - 6. Let c(x) = 15*x**2 + 5*x - 23. What is the units digit of c(g)?
7
What is the units digit of 2/(-4)*16352/(-292)?
8
Let h(r) = r - 55. Let g be h(23). What is the units digit of (-8)/g - (-4)/(64/4108)?
7
Suppose 3*o - 5*q - 107 = 263, -225 = -2*o - q. Let m = o - -338. What is the units digit of m?
3
Let c = -65 - -65. Suppose -2*r + c*r + 289 = 3*q, -4*r = -20. What is the tens digit of q?
9
Let r(n) = n**3 - 4*n**2 - 7*n + 23. Let c(b) = -3*b**3 + 11*b**2 + 20*b - 69. Let z(p) = -3*c(p) - 8*r(p). What is the units digit of z(7)?
9
Let d(z) = -z**2 + 7*z + 103. Let j be d(14). Suppose -5*h + 1430 = -s - s, 0 = j*h - 3*s - 1430. What is the units digit of h?
6
Suppose 22*g - 74*g = -16*g - 211788. What is the tens digit of g?
8
Suppose -4255*d = -4268*d + 31317. What is the units digit of d?
9
Let y = 1419 - -1209. Suppose -11*i + y = -5*i. Suppose -p - 4*c = p - 180, -4*c = 5*p - i. What is the units digit of p?
6
Suppose 0 = -12*u + 19231 + 19757. What is the units digit of u?
9
Let g = 1840 + -1132. Suppose k + g = 4*k. Suppose -16 = -4*y + k. What is the tens digit of y?
6
Let f(o) = -o**3 - 34*o**2 - 4*o - 10. Let r be f(-34). Let u = 388 - r. What is the hundreds digit of u?
2
Let l(w) be the second derivative of -27*w**5/10 + w**4/6 - w**3/2 - 5*w**2/2 + w - 45. What is the tens digit of l(-2)?
4
Let m(j) = 3*j**2 + 15*j - 8. Let w be m(-7). Let a be ((-8)/3)/(w/(-51)). Suppose 0 = -a*x, -5*x + 6 = -2*t + 64. What is the tens digit of t?
2
Let h = -100 - -92. What is the tens digit of 10/h - 4996/(-16)?
1
What is the thousands digit of 479970/162 + 23 - 2/(-9)?
2
Let y(t) = 592*t + 371. What is the hundreds digit of y(7)?
5
Let y(i) be the first derivative of i**4/4 - i**3 + 9*i**2/2 - 4*i - 4. Let p(f) be the first derivative of y(f). What is the tens digit of p(5)?
5
Let f = -265 + 1666. Suppose 8*h - f = 1271. What is the tens digit of h?
3
Suppose -14*w = -9*w + o - 37226, -w + 3*o + 7442 = 0. What is the units digit of w?
5
Suppose 3 = f + 2*f, -4*m + 3*f = -13709. What is the units digit of m?
8
Suppose -92*z = -19*z - 8678 - 71841. What is the thousands digit of z?
1
Suppose 21*f - 78 = 15*f. Let d(m) = 33*m + 5. What is the tens digit of d(f)?
3
Let i = 32 + -32. Let a be i - (-359 + 2/(-2)). Suppose 0 = 4*c - f - a, 4*c - 376 = -5*f - 40. What is the tens digit of c?
8
Let u = 3756 - 2231. Suppose s + u = 6*s. What is the hundreds digit of s?
3
Let o(u) = -4*u**3 - 5*u**2 - u + 7. Suppose 5*r = 3*w + 18, 0 = 3*r - 4*w - 1 - 1. Suppose 4*b + l = 5*b, -3*b - r = -l. What is the units digit of o(b)?
3
Let h = 98 - 103. What is the tens digit of 69/(-3)*(-6 - h)*2?
4
Let q = -7 + 4. Let p be 0/(q + (2 - -2)). Suppose p = -9*a + 4*a + 475. What is the units digit of a?
5
Let y(k) = k + 28. Suppose v - 2*z + 4*z - 6 = 0, -5*z = 4*v - 33. Let n be 3*((-224)/v)/7. What is the tens digit of y(n)?
2
Suppose 4*v + 4*k = 2*k + 908, 5*k - 695 = -3*v. Suppose 4*z + 0*d - 3*d = -75, d - 80 = 5*z. What is the units digit of ((-9)/(v/(-40)))/((-1)/z)?
4
What is the units digit of (-212)/424 - ((-34642)/4 + 2)?
8
Let n = 2 - -8. Suppose -n*v + 17*v - 1029 = 0. What is the units digit of v?
7
Suppose 0*r + 50701 = 4*r + 15497. What is the thousands digit of r?
8
Let h = 12666 - 3455. What is the units digit of h?
1
Suppose -47*t + 888 = -46*t. Suppose 15*i - 17*i = -t. What is the hundreds digit of i?
4
Let q = -22 - -26. Suppose 0 = -q*m + 11 + 5. Suppose m*y - 2*c = -6*c + 312, 5*c + 20 = 0. What is the units digit of y?
2
Suppose -2 = 73*i - 74*i. Suppose -i*g + 0*o = 2*o - 294, g + 2*o - 151 = 0. What is the tens digit of g?
4
Let p = -500 + 880. Let o = 784 - 779. Suppose 6*m + 466 = 5*g + o*m, -m + p = 4*g. What is the tens digit of g?
9
Let m(a) = a**2 + 6*a + 16. Let f be m(0). Let r(d) = d**2 - 7*d - 65. What is the tens digit of r(f)?
7
Suppose 11*h = 8*h + 15. Suppose 3*s + h*j - 7 = 0, 1 + 1 = j. What is the units digit of 4/s - (0 - 98)?
4
Let n = -34 - -26. Let u(b) = -8*b**2 + 39*b + 19. Let h(c) = 3*c**2 - 13*c - 6. Let v(f) = -11*h(f) - 4*u(f). What is the tens digit of v(n)?
3
Suppose 45 = -5*f + 4*z, -4*z = f - 2*z - 5. Let p = 0 - f. What is the units digit of (-8 + p)/(1*-3)?
1
Let r(t) = 2*t + 26. Let u be r(-13). What is the hundreds digit of (-3)/(u + 15/(-1655))?
3
Suppose -5*z - 55 = -65. Suppose z*r = -5*g - r + 905, 0 = r - 5. What is the tens digit of g?
7
Let t = 59 - -533. Let g = 939 - t. What is the units digit of g?
7
Suppose -1606*l + 1583*l + 111366 = 0. What is the tens digit of l?
4
Suppose -26*t = -29*t - 444. Let v = 79 - t. What is the hundreds digit of v?
2
Let o(a) be the second derivative of a**2 - 23/6*a**3 + 0 - 9*a. What is the units digit of o(-1)?
5
Let g(m) = -2*m**2 - 22*m + 8. Let j be g(-11). Suppose -3*d + 2*p + 34 = -d, 4*p = -j. What is the tens digit of d?
1
Let p(x) = -35*x - 7. Let w(y) be the third derivative of 35*y**4/24 + y**3 + 4*y**2. Let s(t) = 5*p(t) + 4*w(t). What is the tens digit of s(-3)?
9
Let r(f) = 14*f**2 + f - 2. Let p(h) = h - 1. Let a(i) = -8*i + 2. Let s(x) = -a(x) - 6*p(x). Let o be s(-3). What is the tens digit of r(o)?
5
Let i(c) = -c**3 + 6*c**2 + 4*c + 2. Let u be i(-6). Suppose u = 5*q - 325. What is the units digit of q?
7
Let g(o) = -321*o + 145. What is the hundreds digit of g(-4)?
4
Suppose 3*k = -4*a - 55, -4*a = a + 20. Let y be (k - -13)/(1*-1). Suppose -4*g = -5*q - 163 - 0, -5*q + 25 = y. What is the tens digit of g?
4
Let a(o) = 2*o**3 + 4*o**2 - 7*o - 3. Let h be a(-6). Let m = 109 - h. What is the units digit of m?
8
Suppose -27 - 8 = -s. Let w = 1 + s. Suppose 216 = 6*j - w. What is the tens digit of j?
4
Let d(i) = 14*i - 2 - i + 7 - 2. Let f = 7 - 2. What is the units digit of d(f)?
8
Let m(x) = -99*x**2 - x - 8. Let p(y) = y. Let n(t) = -m(t) - p(t). What is the tens digit of n(-2)?
0
Let x = 3105 - 656. What is the tens digit of x?
4
Let q = 221 - 219. What is the units digit of ((-4)/(q/2))/((-38)/627)?
6
Suppose 0 = 5*s - 3*r - 7054, -2*r - 15 = 3*r. Let h = -865 + s. What is the tens digit of h/18 + 12/(-54)?
3
Let i = -213 + 139. Let n = i + 377. What is the hundreds digit of n?
3
Let k be -5 + (-4 - (-728 + 3)). Let o = k - 295. What is the tens digit of o?
2
Suppose -10*b + 73853 = -4*b + 13*b. What is the hundreds digit of b?
8
Suppose 16 = -5*a + 6, i - 15 = 3*a. Let l = i + 20. What is the tens digit of l?
2
Suppose -10076 - 11560 = -12*t. What is the thousands digit of t?
1
Let j(a) = 280*a - 72. What is the thousands digit of j(4)?
1
Let z(q) = 8*q + 39. Let o be z(8). Suppose -o - 2515 = -7*x. What is the units digit of x?
4
Suppose -9 = -3*a - n, 5*n = 2*n. Suppose -a*p + 2*p = -69. What is the units digit of p?
9
Let p(u) = -26*u**2 + 5271. What is the hundreds digit of p(0)?
2
Let j(p) = p**3 + 4*p**2 + 2*p + 6. Let v be j(-3). Let s(o) = -4*o**2 + 40*o - 4. What is the units digit of s(v)?
2
Suppose 19 = -4*t + 59. Suppose u = -5*x + 6*u + 835, 5*u = t. What is the units digit of x?
9
Suppose 5*p - 4*i = -7*i - 299, p - 3*i = -49. Let z = p - -272. Let a = z + -136. What is the units digit of a?
8
Let w(c) = 2*c + 13. Suppose -b = -57 + 12. Let r = 49 - b. What is the tens digit of w(r)?
2
Let c be ((-124)/248)/(((-3)/10)/(-3)). Let k(u) be the third derivative of u**5/60 - 5*u**4/24 - 13*u**3/6 - u**2. What is the units digit of k(c)?
7
Let f(i) = 3597*i + 121. What is the units digit of f(2)?
5
What is the units digit of 7436 - ((5 - (-56)/(-10)) + 3/5)?
6
Suppose 0 = -1155*c + 1144*c + 15818. What is the thousands digit of c?
1
Let b = -23 - 1. Let p be ((-1208)/12)/((-1)/b). What is the tens digit of ((-6)/9)/(p/(-1212) - 2)?
0
Suppose d - 9435 + 2506 = -2*z, -d + 6933 = z. What is the units digit of d?
7
Let g be -247 - ((-1)/(-5) + 52/65). Let b = 621 + g. What is the units digit of b?
3
Let j = -2953 + 9102. What is the thousands digit of j?
6
Let g(p) = 21*p**2 + 35*p - 129. Let a(d) = 11*d**2 + 17*d - 64. Let y(u) = -5*a(u) + 3*g(u). What is the hundreds digit of y(7)?
4
Let x be (2 - 1)*0/(-2). What is the tens digit of -4 - -2 - (-72 + x + 1)?
6
Let u = 1331 + -872. Let i = u + -213. What is the tens digit of i?
4
Let q = 1629 + 3230. What is the units digit of q?
9
Suppose -2*o - 4*o = -408. Suppose -g + o = 2*g + 4*i, -3*g + 64 = 5*i. What is the tens digit of g?
2
Let d(p) = -2*p**3 - 31*p**2 + 14*p - 28. Let o be d(-16). Suppose 3*j + 432 = o*q, -2*j + 370 = 4*q - 42. What is the hundreds digit of q?
1
Suppose -159*f = -140*f - 113544. What is the tens digit of f?
7
Suppose -16*s - 29203 = -4*m - 13*s, -3*m - 4*s + 21871 = 0. What is the tens digit of m?
9
Let v(s) be the first derivative of -s**4/4 - 13*s**3/3 + s**2 + 27*s + 4. Let k be v(-13). What is the tens digit of (-135)/(-3) - k/(-1)?
4
Let z = -786 - -533. Let k = z - -440. What is the hundreds digit of k?
1
Suppose 15*v - 3*r = 10*v + 19080, -3*v = -4*r - 11459. What is the tens digit of v?
1
Let x be 4/(-6)*(-36)/24. Let i = 9 + x. Suppose -145 = 5*k - i*k. What is the tens digit of k?
2
What is the thousands digit of -5 + (29776/24)/(14/21)?
1
Let y = 4911 + 2010. What is the thousands digit of y?
6
Let z be 14 + 2 + -1 + 2. Suppose z*g = 3932 + 454. What is the units digit of g?
8
What is the hundreds digit of 2/(-8) + ((-346)/5)/(48/(-3630))?
2
Let v be (-992)/16*(-3)/2. Let k be ((-22)/(-5) - (-6)/(-15))/2. Suppose w - 62 = -k*i, -4*i = -3*w - 21 - v. What is the tens digit of i?
3
Let g(k) = 427*k**2 + 8*k - 2. What is the units digit of g(-4)?
8
Let k(i) = i**2 + 6*i - 39. Let w be k(-10). What is the hundreds digit of (w + 3 + -2)*(-1195)/(-10)?
2
Suppose 0 = -c - 5*z + 6385, -15778 = -5*c + 2*z + 16120. What is the tens digit of c/16 + (2 - 14/8)?
9
Suppose z + 172 = 676. Suppose -8 - z = -16*g. What is the tens digit of g?
3
Let s be -70 + 0/(-3 - (-4 - 1)). Let j = 63 - 91. Let w = j - s. What is the units digit of w?
2
Suppose -3*v + 95 = 5*j, 4*j - 116 = -2*v - 2*v. Suppose v*q - 24*q - 421 = 0. What is the hundreds digit of q?
4
Let w(n) = 5*n**3 - 3*n**2 + 16*n + 55. What is the thousands digit of w(8)?
2
Suppose -68782 + 8518 = 33*s - 41*s. What is the units digit of s?
3
Suppose 0 = 3*l + 5*y - 3*y + 13, -3*y - 16 = l. What is the units digit of -2 - l - ((-266)/2 - -2)?
0
Suppose 106*t - 13*t + 115661 - 758570 = 0. What is the tens digit of t?
1
Let w(t) = -t**3 + 20*t**2 + 11*t - 34. What is the tens digit of w(16)?
6
Suppose -10 = -7*j + 5*j. Suppose -2*q - 2279 = -5*d, 2*d - j*q = -0*d + 920. What is the hundreds digit of d?
4
Let q be (-3)/12 + 1730/8. Suppose 5*o = -3*a + 6, -a + 9 = o + 7. Suppose 78 = -a*v + q. What is the units digit of v?
9
Let t = 15961 - 6201. What is the thousands digit of t?
9
Let s(j) = 7*j + 72. Let g be s(-10). What is the units digit of -2 - (g + (-105)/6)*14?
5
Suppose -64*s = -56*s - 39376. Suppose -26*z + s = -18. What is the tens digit of z?
9
Let k(b) = -9*b + 346. What is the tens digit of k(19)?
7
Let r = 30 - 30. Let j = 9 - 7. Suppose -i - 66 = -j*n, -4*i + 110 = 3*n - r*i. What is the tens digit of n?
3
Suppose -4*q + 5236 = 2*g, -5539 = -2*g + 2*q - 291. What is the thousands digit of g?
2
Let w(g) = g**3 - 61*g**2 + 195*g - 313. What is the hundreds digit of w(58)?
9
Suppose 865 = -10*x + 4795. Let s = x + -223. What is the hundreds digit of s?
1
Let j be 466/16 - 12/96. What is the tens digit of 299 + 1 - (j - 27)?
9
Suppose 14*t = 10*t + 20. Suppose -4*o - w = -0*w - t, 5*o + 5*w = -5. Suppose 3*m - 217 + 7 = -3*h, o*h - m - 143 = 0. What is the units digit of h?
1
Let y = 40 - 41. Let r be (-1)/y + 0 - 10. What is the units digit of (-56)/6*r/2?
2
What is the tens digit of 1210/((20/(-180))/((2/(-9))/1))?
2
Suppose 4*b + 2*b = -b + 56581. What is the units digit of b?
3
Let z(i) = -i**3 - 7*i**2 - 8*i - 9. Let p be z(-6). Suppose t + p*m = 92, 0 = -t - 4*t - 3*m + 496. Let x = t + -36. What is the tens digit of x?
6
Let f(l) = 2*l**3 + 2*l**2 - 39*l + 162. What is the units digit of f(9)?
1
Let m = 142 + -141. What is the units digit of 3/(12/284)*m?
1
Let a be (17/(-34))/((-3454)/1728 - -2). What is the hundreds digit of (1 - -3 - a)/((-4)/(-2))?
2
Suppose -8*t - 226 = -3850. Let v = t - 47. What is the units digit of v?
6
Suppose 2*q - 6*v = -9*v + 9, 6 = -5*q + 2*v. Suppose -20*d + 117 + 763 = q. What is the tens digit of d?
4
Suppose 9*y = 8*y + 3. Suppose -3*o = -5*a - 4*o - 24, 3*a - y*o = 0. Let i(r) = -r**3 - 2*r - 2. What is the units digit of i(a)?
0
Let f = 2946 - 2891. What is the units digit of f?
5
Suppose -5*z = -226 - 139. Let n = z - -107. What is the hundreds digit of n?
1
Let z(x) = 324*x**3 - x**2 - 3*x - 1. What is the hundreds digit of z(2)?
5
Suppose 45 + 6 = -l. Let s = l + 437. What is the hundreds digit of s?
3
Suppose -2*w - 4 = 2*w + 5*c, w + 10 = c. Let r(f) = -35*f - 58. What is the units digit of r(w)?
2
Let x(d) = 2*d - 15. Let m be x(8). What is the hundreds digit of 393 - (m - 1)/1?
3
Let d(g) = 19*g - 3*g**2 + 5*g**2 - 2 + g. What is the units digit of d(-19)?
0
Suppose 3*c - 372 - 14103 = 0. Suppose 17*b = -8*b + c. What is the units digit of b?
3
Let x be 7 + (-15 - 1)/4. Suppose 2*u = 3*h + 440, -2*u - x*u - 4*h = -1100. What is the units digit of u?
0
Let v = -272 + 2045. What is the units digit of v?
3
Let z be 8/(-12) - 2380/12. Let v = -22 - z. What is the units digit of v?
7
Let w = 12300 - 7364. What is the hundreds digit of w?
9
Let i = -48 + 43. Let d(h) = -2*h**3 - 9*h**2 - 4*h - 14. What is the tens digit of d(i)?
3
Let l(f) = 38*f**2 + f - 2. Let i be l(-5). Suppose 3*s - 7*s = 5*q - i, -q + 237 = s. What is the tens digit of s?
4
Let l = 7 + 0. Suppose -l*c + 772 + 2420 = 0. What is the tens digit of c?
5
Suppose -70*z = -26*z - 87609 - 70395. What is the thousands digit of z?
3
Suppose 2*j = 5*q - 48752, 39002 = 4*q + 9*j - 11*j. What is the hundreds digit of q?
7
Suppose -2*j - 392 = -5*p, -85 - 70 = -2*p - j. Suppose 3*r - 375 = -p. What is the units digit of r?
9
What is the hundreds digit of 9667 + 0 + -11 + (0 - 1)?
6
Suppose -48 = -b - 41. Suppose -b*y - 2580 = -13*y. What is the tens digit of y?
3
Suppose -48*u = -44*u - 4684. Suppose -4*r + o = -1191, -4*r + u = -3*o - 2*o. What is the units digit of r?
9
Let x(d) = d**2 - 2*d - 7. Let f(p) = -p**2 - 7*p + 3. Let o be f(-5). What is the units digit of x(o)?
6
What is the tens digit of ((-20 - -8) + 8 + 3)*(1 - 5608)?
0
Let h = 86 - 15. Let a = h - 41. What is the units digit of a?
0
Let l = -7138 - -14288. What is the thousands digit of l?
7
Let a(v) = 65*v**2 + 7*v - 16. What is the units digit of a(6)?
6
Let t(r) = r**3 - 6*r**2 - 15*r - 6. Let y be t(8). Let m(f) = -f**2 - y*f - 2*f + 28 - 23. What is the units digit of m(-3)?
8
Let c(o) = 36*o**2 - 10*o - 3. Let d be c(12). Suppose -14*q + d - 357 = 0. What is the units digit of q?
6
Let v(a) = 18*a**2 + a - 1. Let w be v(-1). Suppose -w = -5*h + 224. What is the tens digit of h?
4
Suppose -76*i = 11*i - 14943 - 816342. What is the hundreds digit of i?
5
Let n be 1/4*-50 - 2/4. Let c = -8 - n. Suppose 5*h - 388 = -c*f - 98, f = -2*h + 112. What is the tens digit of h?
5
Let g(j) = 3*j + 27. Let c be g(7). Suppose 2*n - 3*z - 662 = c, 2*z - 1078 = -3*n. What is the units digit of n?
8
Let l(p) be the third derivative of -7*p**4/6 + 7*p**3/6 - p**2. Let q be l(2). Let w = q + 98. What is the tens digit of w?
4
Let c(b) = -27*b + 5. Let m = -26 + 23. Let s be c(m). Let p = -37 + s. What is the units digit of p?
9
Let o(u) = 3*u**2 + 44*u - 23. What is the units digit of o(24)?
1
What is the tens digit of 7 - 0*(-1)/3 - -4924?
3
Let l = 1498 + 2005. What is the thousands digit of l?
3
Suppose -4*y = 5*j - 61 + 16, -5*y + 2*j = -15. Suppose 3*b = 5*b - y*v - 12, -4*b = 4*v + 4. What is the units digit of b*(-4 + 2) - -4?
2
Suppose 4*a = j + 2, -3*j = 2*j + 2*a + 10. What is the tens digit of j/(462/78 + -6)?
2
Suppose 0 = -74*x + 176416 + 2664. What is the units digit of x?
0
Suppose 39 = -5*u - 121. Let s = u + 35. Suppose 6*o - l - 158 = 4*o, -o + s*l + 79 = 0. What is the units digit of o?
9
Let v = -4452 - -12022. What is the thousands digit of v?
7
Suppose 231*x = 228*x + 30. Let g(d) = -d**2 - 16*d - 2. Let i(l) = -l**2. Let h(q) = -g(q) + 2*i(q). What is the tens digit of h(x)?
6
Let x = -24 - -33. Suppose -3*s - 4*g = -x, -5*s - 4*g + 19 = 4. What is the tens digit of (-22)/(-6)*(9 + -2)*s?
7
Suppose -19*o = -25*o + 1698. Let z = 148 + o. What is the units digit of z?
1
Suppose -188 = -10*c + 6*c - q, 212 = 4*c - 5*q. What is the tens digit of (4208/c)/((-10)/6 + 2)?
6
Let j(a) = -29*a + 1434. What is the units digit of j(8)?
2
Let p = 18144 - 12119. What is the tens digit of p?
2
Let v(i) be the second derivative of i**5/20 + i**4/6 + i**3 + 13*i**2/2 + i. Let w be v(-3). Let k = w - -18. What is the units digit of k?
4
Suppose 0 = 4*a - d + 40, d = -a - 1 - 4. Let v = a - -205. What is the hundreds digit of v?
1
Suppose -16*g + 20*g - 7892 = -4*l, l - 5*g = 1973. What is the thousands digit of l?
1
Suppose -4*f + 2*o + 80 = 0, f + 4*o - o = 6. Suppose z + f + 21 = 0. Let n = -35 - z. What is the units digit of n?
4
Suppose 0 = -8*u + 9*u + 6. Let t be (5 + (-3 - -1))*u/(-9). Suppose t*d = -10 + 122. What is the tens digit of d?
5
Suppose -3*u + 3*b - 27 = -8*u, -b + 10 = 2*u. Let t(s) = -23*s**3 + 14 - 3*s + 24*s**u + 2 + 16*s**2. What is the units digit of t(-16)?
4
Suppose -9*w + 51378 = -34680. What is the units digit of w?
2
Let z(h) = -147*h - 7. Let d(n) = 1911*n + 90. Let p(j) = 2*d(j) + 27*z(j). What is the units digit of p(-2)?
5
Let t = -230 - -752. Suppose 5*z - t = 908. What is the units digit of z?
6
Let d be ((-5)/(-10))/1*2*477. Let w = d - 65. What is the tens digit of w?
1
Let f be 26*(-1 + (-6)/(-4)). Suppose -112*j + 48*j + 4416 = 0. Let r = j + f. What is the tens digit of r?
8
Let s(t) = t**3 - 27*t**2 + 14*t + 45. Let l be s(26). Let a = -207 - l. What is the units digit of a?
0
Let v(b) = 14*b**2 - 14*b + 204. What is the thousands digit of v(25)?
8
Suppose -10 = 2*i, -2*b + 0*b + 30 = -4*i. What is the hundreds digit of 3 - (b + -3 + -439)?
4
Suppose -169104 = -38*p - p. What is the hundreds digit of p?
3
Let h = 35 - -10. Let b = h - 36. Suppose b*o - 74 = 7*o. What is the tens digit of o?
3
Suppose 26317 = -19*q + 90406 + 79855. What is the thousands digit of q?
7
Suppose -25*o + 93531 = -110194. What is the thousands digit of o?
8
Let c = -1006 + 3116. What is the thousands digit of c?
2
Let o be 4 + -2 - 3/1. Let k be (o - -1)/(-3 - 0). What is the tens digit of (5/((-20)/124))/(k + -1)?
3
Suppose -13*l - 14*l - 17*l + 260084 = 0. What is the thousands digit of l?
5
Let c = -76 + -7. Let b = 161 + c. What is the units digit of b?
8
Let k(i) = 13*i + 239. What is the units digit of k(25)?
4
Let x(n) = 765*n**2 - 7*n - 30. What is the tens digit of x(-3)?
7
Let h be 105/14 - (-2)/(-4). Let r = h + -1. Suppose 2*b - 2 = -m + r, -4*b = 3*m - 22. What is the units digit of m?
6
Suppose o = 5*k - 377, 5*o = 3*k - 1278 - 519. Let u = o - -527. What is the units digit of u?
0
Let s(b) = b + 18. Let v be (33/(-22))/(1/2). Let g = 6 - v. What is the tens digit of s(g)?
2
Suppose 0 = -4*p - x - 8 + 44, -2*p + 2*x + 28 = 0. Let w be (-535)/p + (-1)/2. Let v = -41 - w. What is the tens digit of v?
1
Suppose 8*h - h = 1498. Let y = h + -91. What is the hundreds digit of y?
1
Let w(u) be the third derivative of -u**7/1680 + u**6/120 - 7*u**5/30 - 11*u**2. Let k(c) be the third derivative of w(c). What is the units digit of k(-4)?
8
Let t = -1 - 3. Let g(d) = -d**3 - 5*d**2 + 1. Let w be g(t). Let q = w - -83. What is the units digit of q?
8
Let i be 18/6*(-10 + 5). What is the hundreds digit of ((-4570)/i)/((-2)/(-3))?
4
Suppose -2*b + 3*l = 8*l - 5607, -5*l = 15. What is the tens digit of b?
1
Suppose -1372 + 13760 = 4*k - g, -21694 = -7*k - 2*g. What is the tens digit of k?
9
Let a(t) = -t**3 + 12*t**2 + 17*t + 25. Suppose 4*g - 3*g - 13 = 2*l, 3*l = 0. What is the tens digit of a(g)?
7
Let a be (4 + -7)*10/(-6). Suppose 0 = -a*w + 2914 - 864. What is the tens digit of w?
1
Suppose 103 = 14*c + 19. Suppose 0*f = -6*f + c. What is the units digit of f?
1
What is the tens digit of (14 - -4) + -6 - -7898?
1
What is the units digit of (-235 + 276)/(0 - 2/(-12))?
6
What is the hundreds digit of (84/32)/(12/488) + 6/24?
1
Let y = 19788 - 11161. What is the units digit of y?
7
Let o(t) = -t**3 + 11*t**2 - 6*t + 18. Let v be o(10). Let y = v - -30. Let p = y + -52. What is the tens digit of p?
3
Let m(l) = -l**2 - 8*l - 6. Let f be m(-7). What is the hundreds digit of (-6 - (9 - 16))*431*f?
4
Let d be (2/(-3) + 0)*3. Let u = -5 + d. Let o(i) = -14*i - 17. What is the units digit of o(u)?
1
Let j be 24/18*54/12. Let l(z) = -2*z - 9. Let y be l(-6). What is the units digit of (-57)/(-2 + y/j)?
8
Let p be (-2 - 0) + 2 + 4. Suppose -70 = -3*f - p*a, 0 = -2*f - a + 2*a + 65. Let b = f - -64. What is the units digit of b?
4
Let q(h) = -h + 374. Let o(r) = 2*r - 6. Let c be o(3). What is the units digit of q(c)?
4
Let a(f) = 68*f - 21. Let i be a(6). What is the units digit of i/((-5)/2 - -4)?
8
Suppose -2 = -h + 2. Suppose -5*o + 17 = -l, -5*l + h*o - 15 - 7 = 0. What is the units digit of (1 + l)/((-24)/264)?
1
Suppose -39 = -11*z + 16. Suppose -z*m + 447 = 3*i - 858, -1335 = -5*m + 3*i. What is the units digit of m?
4
Let m(q) = -46*q - 45*q + 39*q - 47*q. Let p(g) = -g**3 - 5*g**2 - g - 6. Let j be p(-5). What is the tens digit of m(j)?
9
Let j(q) = 258*q + 42. Let z be j(6). Suppose -11*p + 2854 = -z. What is the units digit of p?
4
Let b(f) = -f**3 - 16*f**2 - 3*f - 24. Let r be b(-17). Suppose 4*g = -w + r, 2*g = -0*g. What is the hundreds digit of w?
3
Let r(q) = -13*q**2 + 5*q - 6. Let l be r(2). Let y = l - -41. What is the units digit of (y + 8)/(2/(-1 + 17))?
8
Let i = 49 - 45. Suppose -996 = -4*o - i*r, -2*o + 498 - 2 = 3*r. What is the hundreds digit of o?
2
Suppose 224 - 2042 = -3*t. Let l = t - 242. What is the hundreds digit of l?
3
Let g be (-4)/6 + 51/9. Let t = 60 - 17. Suppose -4*w = -g*w + t. What is the tens digit of w?
4
Suppose -55 = -5*q - 3*s - 2*s, 5*q - 25 = s. Suppose -f = -2 - 1, 2*f + q = 2*h. What is the units digit of 9/h*3/(-9)*-56?
8
Suppose 0 = 3*y + 5*c - c - 3619, -3629 = -3*y - 2*c. What is the units digit of y?
3
Let b be (-3)/(-4) - (-865)/20. Let f = -44 + b. Suppose 5*p - 3*d - 215 - 17 = f, 3*p = -5*d + 112. What is the units digit of p?
4
Let o = 33 + -44. Let i = -6 - o. Suppose 316 - 21 = i*f. What is the units digit of f?
9
Let g be ((-5)/15)/((-1)/(-78)). Let k = g - -225. What is the units digit of k?
9
Let q = -6881 - -11511. What is the units digit of q?
0
Suppose -20200 = 266*a - 276*a. What is the units digit of a?
0
Let p = -216 - -216. Suppose -g = -4*g + 12. Suppose g*l + 194 = -0*x + 2*x, -2*x - 3*l + 180 = p. What is the tens digit of x?
9
Let w(k) = 928*k**3 + 26*k**2 - 2*k + 8. What is the units digit of w(2)?
2
Suppose -3*z + 20*x = 23*x - 23235, 2*z - 3*x - 15515 = 0. What is the tens digit of z?
5
Suppose -4*h = -3*h + 31. Let p = 114 + h. What is the units digit of p?
3
Suppose 3*a - 12 = 5*s - 2*s, 2*a + 3*s = 23. Let u(p) = p**3 - p**2 + 7*p + 21. What is the hundreds digit of u(a)?
3
What is the tens digit of 34675/15*90/50?
6
Let r = 216 + -214. What is the hundreds digit of -2*1/r*(-3 - 330)?
3
Suppose 18*d = -47 + 515. Let q(z) = -5*z**2 - z. Let p be q(1). Let x = p + d. What is the units digit of x?
0
Let d(o) = -o**3 - o**2 + o + 1. Let w be d(-1). Suppose w = 11*t - 3347 - 349. What is the tens digit of t?
3
Let l be (2/(-4))/(5 + 153/(-30)). Suppose -3*m + 4*m = 4*h - 146, l*h = -m + 178. What is the tens digit of h?
3
Suppose -3368 = -3*t - 6*w + 8*w, 2*t - 2247 = 3*w. What is the thousands digit of t?
1
Suppose 0 = b - 2*x - 7916 - 662, -2*x = -4*b + 34300. What is the units digit of b?
4
Let b(c) be the third derivative of -59*c**4/12 - c**3/2 - 7*c**2. What is the hundreds digit of b(-1)?
1
Suppose -2*j = j - 324. Let i = -22 + j. Suppose 0 = 3*q + 4*p + i - 336, 0 = -q - p + 82. What is the tens digit of q?
7
Suppose 2*x + x = -5*m - 1351, -m + 2233 = -5*x. Let u = 852 + x. What is the units digit of u?
5
Suppose -h = g - 72, -h + 5*g + 48 = -0. Suppose 2*u + 2*x = 22 + h, 0 = 2*u - 3*x - 100. What is the units digit of u?
7
What is the hundreds digit of (-3)/(-15) - -1 - (-516708)/60?
6
Suppose 0 = -3*z + 4*b + 13830, -b = z - 2*z + 4611. What is the units digit of z?
4
Let q = -34 + 37. Suppose -w + 68 = q*k, -2*w = -3*w + 3*k + 62. Suppose -2*g + w - 15 = 0. What is the units digit of g?
5
Let q(x) = 9*x**2 - 41*x + 4. Let g be q(6). Suppose -2*u + g = -166. What is the tens digit of u?
2
Suppose 39*k - 292641 - 58203 = 0. What is the tens digit of k?
9
Suppose 2*r = -28 + 16. Let k(n) = -75*n - 21. What is the units digit of k(r)?
9
Let l(f) = 2*f**2 + 61*f - 34. What is the units digit of l(28)?
2
Let f(q) be the third derivative of -5*q**4/12 - q**3 - 2*q**2. Suppose 3*c = -2*h + 7, 3*h - 80 = 4*c - 112. What is the units digit of f(h)?
4
Suppose 14 = -0*z + z. Suppose -z*d + 13*d = -5. Suppose -f - d = -26. What is the tens digit of f?
2
Suppose 5*d = -t + 14, -4*t + 2*t - 2*d = -4. Let i(o) = -140*o**3 - o**2 - 5*o - 6. What is the tens digit of i(t)?
3
What is the units digit of 5/(-55) - (-34380)/55?
5
Let q = -26 + 33. Suppose -4*w = -5*p + 30, q*p = 2*p + 10. What is the units digit of (w + 3)/(-8) + (-454)/(-8)?
7
What is the thousands digit of -4 - (-6350 - (-8 - -8))?
6
Suppose -g + x + 6 = 2*g, -8 = -2*g + 2*x. What is the hundreds digit of 1246/(-4)*((-33)/21 + g)?
1
Let n(x) = -x. Let u(s) = -3*s + 20. Let d(t) = 2*n(t) - u(t). Let r be d(15). Let k(w) = w**3 + 7*w**2 - 7*w + 1. What is the tens digit of k(r)?
8
Let a(r) = 273*r**2 + 26*r - 71. What is the hundreds digit of a(-6)?
6
Suppose 0 = -14*r + 1461 + 779. Let s = r + 26. What is the hundreds digit of s?
1
Suppose 3*t - 139060 = -17*t. What is the tens digit of t?
5
What is the tens digit of 14*259 + -10 + (-13 - -17)?
2
Let z = -198 - -201. Suppose 3*x + z*x = 2514. What is the tens digit of x?
1
Suppose -41*w - 19746 = -47*w. What is the units digit of w?
1
Suppose 125202 = 18*n + 8*n - 33060. What is the units digit of n?
7
Suppose 0*z = 3*a - 3*z - 63, 0 = -2*a + z + 44. Suppose -5*j + t + a = -14, -t - 13 = -2*j. Suppose -10*q = -j*q - 134. What is the units digit of q?
7
Suppose -3*g - 22326 = 163*d - 166*d, 29788 = 4*d + g. What is the thousands digit of d?
7
Let m(k) = -16 - 4*k + 0 - 2*k**3 - 11*k**2 + 3*k**3 - 4*k. Let s be m(12). Let c = s + -26. What is the units digit of c?
6
Let i(z) = 7*z**2 - 13*z + 24. Let a(o) = 3*o**2 - 6*o + 11. Let d(m) = -13*a(m) + 6*i(m). Let l be (-2)/6 - (-5)/(-3). What is the units digit of d(l)?
3
Let h(k) = 2*k**2 + 9*k + 16. Let d be h(-14). Suppose 118 = q - d. What is the hundreds digit of q?
4
Suppose -12*n - 4*u = -17*n + 3779, 4*n = 5*u + 3016. What is the tens digit of n?
5
Let l = -2037 + 10931. What is the units digit of l?
4
Suppose -30*a + 29*a - 1484 = 0. What is the units digit of -8 + 5 - a/4?
8
Let a be ((-3)/2)/(-1)*14/21. Let t be -3 + ((-3)/(-9))/(a/9). Suppose t = 2*o, -3 + 24 = n + 2*o. What is the units digit of n?
1
Let c = -92 - -352. Let f = -196 + c. What is the tens digit of f?
6
Let f(a) = 6*a**2 - 44*a + 444. What is the hundreds digit of f(12)?
7
Suppose -3*f = 2 - 11. Suppose 3 = -y, -2*y = b - f*y - 169. What is the hundreds digit of b?
1
Suppose -25*p - 4960 = -40*p + 15500. What is the thousands digit of p?
1
Let v(p) = -2*p + 14. Let b be v(9). Let i be ((-8)/1)/(b/8). Suppose -16 = -g + i. What is the units digit of g?
2
Let n(l) = 5576*l**2 - 22*l - 12. What is the tens digit of n(-1)?
8
Let x = 67 + 73. Let w(o) = -4*o**2 + 2*o - 5. Let t be w(-4). Let v = t + x. What is the tens digit of v?
6
Let m(r) = 2*r + 5*r**2 - 4*r**2 - 26 - 5*r + 12*r. Let t be m(6). Suppose -7*g = -5*g - t. What is the tens digit of g?
3
Let i be 7/(70/15)*2. Suppose 0 = 3*l + 6, i*l + 1605 = 4*g - 109. What is the hundreds digit of g?
4
Let g(r) be the third derivative of 157*r**4/24 + 13*r**3/3 + 4*r**2. Let b(a) = 52*a + 9. Let i(q) = 17*b(q) - 6*g(q). What is the tens digit of i(-1)?
5
Suppose 4*k - 13 + 0 = -5*g, 2*k - 3*g - 1 = 0. Suppose 4*s = b + 1186, k*s - b = 4*b + 602. What is the units digit of s?
6
Let w be 6 + 4/14 + (-24)/(-14). Suppose 3*q + 1 = -w. What is the units digit of q + 2 - -2 - (5 - 7)?
3
Let i(f) = -2*f**2 + 14*f + 69. Let u be i(16). Let d = u - -582. What is the tens digit of d?
6
Let h(y) = -769*y - 22. Let s be h(-2). Suppose 5*t - 1504 = 3*w, 0*t - 5*t - 3*w = -s. What is the tens digit of t?
0
Suppose 0 = -g + 3*m + 6 - 0, 10 = 2*m. Suppose g = -5*q + 71. Suppose -q*v + 68 = -6*v. What is the tens digit of v?
1
Let g(q) = -18*q - 49. Let r be g(-21). Suppose s = 3*n - r, 0 = 3*n - 5*s + 2*s - 327. What is the units digit of -3*4/(-24)*n?
5
Let a(v) = 22 + 7*v + 3*v - 2*v. Let l = -93 - -102. What is the tens digit of a(l)?
9
Suppose -2443 = -z + 3714. What is the hundreds digit of z?
1
Let g(y) be the first derivative of 18*y**4 - y**3/3 + y**2/2 - 64. What is the tens digit of g(1)?
7
Suppose -6*g + 5*g = -15*g + 123326. What is the hundreds digit of g?
8
Let g = 21 - 24. Let m(j) = 7*j**2 + 2*j + 1. Let v be m(g). Suppose 188 + v = 3*c. What is the tens digit of c?
8
Let n(v) = -v**2 + 4*v - 4. Let p be n(0). Let y(w) be the second derivative of 5*w**4/12 - w**3 - 2*w**2 + w. What is the units digit of y(p)?
0
Let y be (1/(-6)*-8)/((-2)/(-453)). What is the hundreds digit of (24 - 23)/(2/y)?
1
Let b be (-4)/3 + 8/6. Suppose 2*f - 7 - 1 = b. Suppose -2*y = -f*w + 72, 5*w + 3*y - 112 = -0*y. What is the units digit of w?
0
Let a = 21 + -9. Let s(i) = i**2 - 13*i + 14. Let u be s(a). Suppose -4*h = 5*p - 89, 3*h = 4*p - u*p + 38. What is the tens digit of h?
1
Let g = 9276 + -888. What is the tens digit of g?
8
Suppose -1838*h - 17284 = -4*z - 1836*h, 17284 = 4*z - 4*h. What is the hundreds digit of z?
3
Suppose 0 = 21*i - 28*i + 28. Suppose i*c - 196 = 372. What is the units digit of c?
2
Let v = 468 + -320. Let s = v + 25. Suppose s = 4*d + 3*f, -3*d + 184 = -f + 38. What is the tens digit of d?
4
Let u(z) = z**3 - 10*z**2 - 8*z + 15. Let y be u(11). Let n = y - 49. What is the units digit of (-1764)/(-30) - (n/5)/1?
9
Let w = -28 + 30. What is the hundreds digit of 423 - (0 - ((-8)/w - -4))?
4
Let w(j) = -29*j**2 - j + 41*j**2 + 39*j**2 + 13*j**2 + 3. What is the tens digit of w(2)?
5
Let f(a) = a**3 + 9*a**2 - 2*a + 1. Suppose -6 = 2*q, 2 + 7 = 2*p + q. Let j = p + -14. What is the tens digit of f(j)?
8
Let l be 4/(-8)*-4 + 0 + 1. Suppose h + l*j - 145 = 0, -h - 8*j = -10*j - 165. What is the tens digit of h?
5
Let x be ((-24)/9 - -3)*0 - 2. Let h be x*109 + (1 - 0)*1. Let b = h + 315. What is the tens digit of b?
9
Let x be (-6)/1 - (3 + -433). Let a = 735 - x. What is the units digit of a?
1
Suppose -58295 - 20731 = -27*d + 66396. What is the hundreds digit of d?
3
Let d = 2016 + 1555. What is the tens digit of d?
7
Suppose 5 + 15 = 4*u. Suppose -u*l = -6*l + 22. Suppose 18*y + 92 = l*y. What is the tens digit of y?
2
Let m(i) = i**2 + 8*i + 7. Let c be m(-7). Let s(a) = -a**2 - 4*a + 15. Let z be s(-6). Suppose -g - z*g + 124 = c. What is the units digit of g?
1
Suppose 3*u - 21367 = d, -183*u + 188*u - 35635 = -3*d. What is the thousands digit of u?
7
Suppose -6*r + 62809 = -4*k + 6201, -4*r + k = -37742. What is the units digit of r?
6
Suppose 3*k - 4*y - 17 = 11, 4*k - 5*y - 36 = 0. Let v be 84/21*17*1. Suppose v = 2*u - k*x, -3*u - 5*x + 95 = -u. What is the tens digit of u?
4
Let n be (-10 - 833/(-28)) + 1/4. What is the units digit of 836/n - (-6)/30?
2
Suppose -g - 1721 = -4*w, -3*w + 4*w - 3*g - 422 = 0. Let r be (2 + (-3 - -1))/(-4). Suppose -5*j - 61 + w = r. What is the units digit of j?
4
Let f(g) = g**3 - 5*g**2 - 11*g + 33. Let a be f(6). Let k(q) = 153*q - 9. What is the tens digit of k(a)?
5
Let d(p) = 36*p**2 - 87*p - 95. What is the thousands digit of d(14)?
5
Let m be ((-3)/(-9) - 1)/(6/927). Let c = 434 + -619. Let a = m - c. What is the units digit of a?
2
Let o(p) = -p**2 + 10*p - 6. Let d be o(10). Let y be 2/(-4*(-4)/(-24)) - d. Suppose 5*k - 178 = 2*l - 4*l, -5*l + y*k = -383. What is the units digit of l?
9
Let k(d) = -d**2 + 6*d + 8. Let f be k(7). Let y be (-5)/((-180)/6558) - f/6. Let n = y + -123. What is the tens digit of n?
5
Suppose 4*w = -0*w - k + 18, -5*w - 2*k = -24. What is the units digit of (0 - -23)*((3 - 6) + w)?
3
Let b(t) = t**2 + 4*t - 27. Let q be b(4). What is the tens digit of 2112/q - (184/(-40) + 5)?
2
Let z = 172 + -178. What is the units digit of 6957/21 + z/21?
1
Suppose -5*q + 14719 = 3*p, 10*p + 3*q - 36369 = 12708. What is the tens digit of p?
0
Let a(h) = -h**3 - 18*h**2 - 19*h + 9. Let k be a(-15). Let r = -164 - k. What is the hundreds digit of r?
2
Let d be -13 - (0 - -4 - 2). Let f be -1 + 1/((-1)/d). Suppose -f*b = -19*b + 340. What is the tens digit of b?
6
Let k = -4 - -1. Let r(j) = 45*j + 10. Let h be r(k). Let b = h - -176. What is the tens digit of b?
5
Suppose 4*o + 3993 = c - 3593, 37945 = 5*c - 5*o. What is the tens digit of c?
9
Let d(a) = -a**3 + 8*a**2 + 19*a - 20. Let t(x) = -3*x**3 + 26*x**2 + 58*x - 61. Let q(o) = -11*d(o) + 4*t(o). Let r = -32 + 49. What is the tens digit of q(r)?
7
Suppose -26*v + 0 + 0 = 0. Suppose -4*c + 594 = 2*u, v = 5*u + 4*c + 830 - 2339. What is the tens digit of u?
0
Let v(h) be the second derivative of -25*h**3/6 + 18*h**2 - 32*h. What is the tens digit of v(-9)?
6
Suppose -87 = k - 3446. Suppose 0 = 10*w - k + 929. What is the tens digit of w?
4
Let s(j) be the third derivative of 27*j**4/8 - 50*j**3/3 - 70*j**2. What is the units digit of s(5)?
5
Let k be (12/18)/(3/18)*376. Suppose 17*v + 4*f = 21*v - k, 0 = 4*v - 3*f - 1502. What is the units digit of v?
4
Suppose 6*l + 6 = 3*l + 4*s, 6 = -2*l + 2*s. Let j(p) = 7*p**2 + 7*p - 16. What is the units digit of j(l)?
4
Let y = 4229 - 3323. What is the tens digit of y?
0
Suppose -v - 12 + 15 = 0. Suppose 0 = v*x + 22 - 853. What is the hundreds digit of x?
2
Suppose 0 = 16*h + h - 68. What is the tens digit of (-312)/(-65)*150/h?
8
Let w(z) = 22*z**2 + 9*z - 39. Let x be w(6). Suppose -2263 - x = -10*u. What is the units digit of u?
7
Let b = -356 + 8383. What is the units digit of b?
7
Suppose 5*x = 3*x - 7*x + 69651. What is the tens digit of x?
3
What is the units digit of (8428 - -37) + (-7)/(28/8)?
3
Let m be 283/(-566) - ((-265)/2 - 1). Let b(t) = t**3 + 5*t**2 - 6*t + 3. Let h be b(-5). Let d = m - h. What is the tens digit of d?
0
Suppose 2*a = -0*a + 18. What is the hundreds digit of 380 - (-4)/14*(-2 + a)?
3
Suppose 12*j = 7*j + 195. Suppose 0 = -x + 3*r + 28, 2*x - j = 2*r + 37. Let q = x + -15. What is the units digit of q?
8
Suppose 5*y = 4*y + 3*j - 1, 29 = 4*y - j. What is the tens digit of (-6)/y*(5 - 313)?
3
Suppose 0 = -13*t + 132572 + 4494 - 14541. What is the tens digit of t?
2
Let i(t) = t. Suppose 0 = -4*d + 5*n - 43, n - 6 = -3. Let m be i(d). What is the tens digit of ((-8)/m - -4)*7*2?
7
Let s(l) = 42*l**2 + 0*l - 18*l**2 - 23*l**2 - 3*l + 14 + l. Let v(p) = p**2 - 5*p. Let c be v(6). What is the tens digit of s(c)?
3
Suppose k - 9796 = -b - 1661, 24408 = 3*k + 2*b. What is the tens digit of k?
3
Let v = -4465 + 9140. What is the thousands digit of v?
4
Let l = 73 + -71. Suppose -5*m - 549 = -l*i, 5*i - 2*m - 707 = 676. What is the hundreds digit of i?
2
Let c = -28 - -31. Suppose a = c*n + 8, -5*n + 0 = 10. Suppose 3*o + 4*s - 131 = 0, 64 = -2*o + 4*o - a*s. What is the units digit of o?
7
Suppose 2 = c, 0 = -2*p + 5*p - 4*c + 548. Let s = -84 - p. Let g = s - 2. What is the units digit of g?
4
Suppose 5*w = x - 3, -w + 0*w + 19 = -3*x. What is the hundreds digit of (x - 54/(-8)) + 1253/4?
3
Suppose 12*l = 4*l + 14408 + 10584. What is the hundreds digit of l?
1
Let s = 8928 - 1795. What is the units digit of s?
3
Suppose -1544 = 2*y + 5*h - 6121, -3*h = -4*y + 9219. What is the units digit of y?
1
Let j(u) = u - 4. Let p be j(0). Let t(n) = -47*n + 8. Let i be t(p). Suppose 10*d = 3*d + i. What is the units digit of d?
8
Suppose 156*q - r = 160*q - 7170, -q - 4*r = -1800. What is the tens digit of q?
9
What is the tens digit of (-94854)/(-18) + 0 + 32/24?
7
Let m(t) be the first derivative of -t**3/3 + 6*t**2 - 9. Let i be m(9). What is the units digit of 372/27 - (-1 + 21/i)?
4
Suppose 4*c + 26 = 5*m, 2*c - 2 = -6*m + m. Suppose 282 = -m*p + 5*p. Suppose 0 = 2*w - 70 - p. What is the tens digit of w?
8
Let y = -4261 - -9044. What is the hundreds digit of y?
7
Suppose 0 = -4*x - x - 3*s + 15, -2*x - 4*s = -20. Let m(h) = h + 3. Let u be m(x). Suppose -4*y - 25 = -v, 18 = 2*v + u*y + 1. What is the tens digit of v?
1
Let o(v) = -36*v - 68. Let q be o(-9). Suppose -q = -2*d + 580. What is the units digit of d?
8
Let j = 49 + 93. Let r = j + -56. Let d = r + -8. What is the units digit of d?
8
What is the thousands digit of (21/(-7))/(-3)*(3 - -5861)?
5
Let u be 7/((-63)/(-30))*-3. What is the units digit of 1*(1796/u)/((-8)/20)?
9
Suppose -27 = -3*o + 3*q, -5*o - 5*q - 3 - 2 = 0. Suppose p - o*f - 396 = 0, -p - 3*p = f - 1635. What is the tens digit of p?
0
Let w be 0 + 90/21 + 2/(-7). Suppose 3*k = 2*c + 545 + 14, k - 205 = -w*c. What is the hundreds digit of k?
1
Suppose 0*w = 5*w + 2*h - 145, -5*h = -2*w + 58. Let o(p) = -p**2 - 10*p - 20. Let j be o(-10). Let z = w + j. What is the units digit of z?
9
Let v(h) = -2*h**3 - 16*h**2 - 3*h - 27. Let l be v(-8). Let j(s) = -84*s - 19. What is the tens digit of j(l)?
3
Let d(y) = 285*y - 806. What is the tens digit of d(21)?
7
Suppose 91 = 6*m - 377. Suppose -3*s + 94 = q, -m = -3*q + 4*s + 256. Suppose 520 - q = 6*b. What is the tens digit of b?
6
Let j be (12/36)/(1/93). Let c = j - 31. Suppose c = -3*v + 2*v - 2*h + 43, 0 = -v + h + 43. What is the units digit of v?
3
Suppose z - 69 = 2*t, -2*t - 4 = 2*z + 50. What is the units digit of (1 + 186)*(t - -33)?
7
Let c be (12/(-5))/(28/(-910)). Suppose 4*h - 2*m - 74 = 0, 3*h + 2*m - c = -h. What is the units digit of h?
9
Suppose -42 + 58 = 4*b. Let x be 1*(3 - b) + 7. Suppose 2*s = 4*o - 212, x*s - 2*s = -3*o + 148. What is the tens digit of o?
5
Let w be ((-34)/8 - -4)*(-1 - -5). Let i = 297 + w. What is the tens digit of i?
9
Let z(v) = -v**3 + 32*v**2 + 41*v + 171. What is the hundreds digit of z(28)?
4
Let n(v) = -66*v - 1. Let d = 16 - 12. Suppose 4*j + 5*w = 6, j - d*w - 1 = -5*w. What is the units digit of n(j)?
5
Suppose -3*k + 1 = p - 6, 5*p = k + 3. Suppose -2*m = -4*i - 94, -4*i - i - k*m = 95. What is the tens digit of (-3)/i - 377/(-7)?
5
Let u be ((-6)/3)/1 - -1. Let x be (4*u)/(0 + (-4)/278). Suppose 74 = -3*l + x. What is the units digit of l?
8
Suppose -506 - 2484 = -2*j. Suppose 162*u - j = 157*u. What is the units digit of u?
9
Let f(l) = 1451*l**2 + 9*l - 24. Let a be f(2). What is the tens digit of (a/13 + (4 - 1))/1?
4
Let j be ((-585)/(-117))/(1 - 0/1). What is the hundreds digit of (((-25)/15)/j)/(5/(-3765))?
2
Suppose -4*v + 12 - 16 = 0. Let f(d) = -4*d**3 - d**2 + 1. Let j be f(v). Suppose 0*z - j*z + 92 = 0. What is the units digit of z?
3
Let f = -43 + 52. Suppose -z + f*z - 1672 = 0. What is the tens digit of z?
0
Suppose 0 = 5*p - 6*p + 2. Suppose -5*b + 3*c = -419, -p*c = b + 46 - 135. What is the units digit of b?
5
Suppose -1 = -o, -o + 4 = f - 3. Suppose g - z = 6*g - 788, -2*z + f = 0. What is the units digit of g?
7
Let v(j) = -12*j + 9. Suppose 57 = -3*l - 3*s - 0*s, l = 5*s - 7. Let i be v(l). Suppose -4*y + i = -q, 4*y - 2*q - 106 - 104 = 0. What is the units digit of y?
4
Suppose 4*j - 5*j = 3*q - 10, 4*q = 2*j + 30. Suppose -10 = -93*l + 92*l. What is the tens digit of (10/q)/10 + 808/l?
8
Let p be (-3 + (4 - 5))/(6/(-3)). Suppose 4*b = p*z - 153 - 447, 5*z = -3*b + 1474. What is the units digit of z?
6
Suppose -4*t - q = -9254, 1356 = 4*t + 2*q - 7896. What is the units digit of t?
4
Let n(i) = 111*i - 43. Let h(u) = -55*u + 21. Let b(p) = -5*h(p) - 2*n(p). Let x be b(-11). What is the tens digit of x/(-12) - 10/60?
5
Suppose 4*r - 4*a = 16, 5*r + 0*a - a = 32. Suppose -r*o = -5*o - 322. What is the tens digit of o?
6
Let l(k) = -6*k**3 - 15*k**2 + 62*k - 10. What is the tens digit of l(-10)?
7
What is the units digit of (-32)/240 + (-136362)/(-90)?
5
Suppose -10*u = -1 + 31. What is the units digit of -2 - 1 - -6 - (u - 168)?
4
Suppose 3*n - 23 = 4. Let f(v) = 0 - 22*v + 2 + 26*v + 1. What is the units digit of f(n)?
9
Suppose 0 = 3*c - 1425 - 738. Suppose 3*s = -97 + c. What is the tens digit of s?
0
Suppose 4*y + u + 58 + 379 = 0, 0 = 3*y + 2*u + 324. Let j = y + 154. What is the units digit of j?
4
Let l(f) be the third derivative of 0*f**5 + 1/6*f**3 + 1/12*f**4 - 97/120*f**6 + 0 + 0*f - 11*f**2. What is the units digit of l(-1)?
6
Suppose 4*x = -8, -h - 3*x = -0*h. Suppose 0 = h*a - 12 - 12. What is the tens digit of a/(-30) + (-10820)/(-150)?
7
Suppose -73 + 16481 = 4*v. What is the units digit of v?
2
Suppose -2*o = -3*o. Suppose 5*h = 4*s + 809, 4*h + 0*h - 5*s - 640 = o. Let u = h - 92. What is the tens digit of u?
7
Let f be 218*5/(-60) - (-2)/12. Suppose 4*i = -y - 170, 5*y = 2*i + 2*i + 182. Let j = f - i. What is the tens digit of j?
2
Suppose 9*m - m + 114 = 7450. What is the hundreds digit of m?
9
Suppose 16*s + 5*s - 420 = 0. Suppose s*g - 2859 = 861. What is the units digit of g?
6
Let p = -410 + 429. Suppose -4*o + 5 = b - 4, -2*b - o - 17 = 0. Let k = b + p. What is the units digit of k?
8
Suppose 13*d + 214078 = 42*d. What is the tens digit of d?
8
Let x(q) = -3*q + 19 - 105*q**2 + 107*q**2 + 3*q + q + 6*q. Let k = 1 - 9. What is the tens digit of x(k)?
9
What is the units digit of (((-136)/(-10))/((-2)/(-2395)))/(-2 + 4)?
3
Let q(g) = 2*g**2 - g + 2. Let l be q(1). Let b(c) = 44*c - 5. What is the units digit of b(l)?
7
Suppose 13*p - 468 = p. Let i = 36 - 58. Let f = i + p. What is the tens digit of f?
1
Suppose 12*w = 48 - 408. What is the units digit of (-4)/w - (-3)/(90/4256)?
2
Let p(k) = k**3 + 20*k**2 - 20*k + 15. Let s be p(-21). Let f = -32 + 30. What is the tens digit of f/3 - (394/s + 2)?
6
Suppose -z - 4*t + 0*t = -6436, 2*z - t = 12899. What is the tens digit of z?
4
Suppose -7*s - 38 = -9*s. Suppose -13*j + 12*j = s. Let y(g) = g**2 + 20*g + 45. What is the tens digit of y(j)?
2
What is the units digit of 56/(-6)*397698/(-952)?
9
Suppose 0 = 16*y - 26046 + 12156 - 32974. What is the units digit of y?
9
What is the tens digit of 4 - (-5450 + (-14 - -23))?
4
Let v be 3/(-2) + (-15)/6. What is the units digit of 5/2*(8 + v)?
0
Let b(d) = d**3 - 6*d**2 - 6. Suppose 4*h + 26 = 5*f, 0*f - 2*f - 3*h + 15 = 0. Let v be b(f). Let x = v - -44. What is the units digit of x?
8
Let d(o) = o**3 - 5*o**2 - 25. What is the units digit of d(6)?
1
Let y = 1872 + 1511. What is the thousands digit of y?
3
Let p = -5401 - -10389. What is the thousands digit of p?
4
Suppose -6*k = -10*k + 12. Let n be k*5/(15/(-2)) - 11. Let q(c) = c**2 + 5*c - 25. What is the units digit of q(n)?
9
Suppose 5*c - 5*a - 35242 = -2*a, -5*c = -5*a - 35250. What is the thousands digit of c?
7
Let z(k) = -7*k**2 + 63*k - 6. Let g(w) = 3*w**2 - 32*w + 3. Let i(x) = -5*g(x) - 2*z(x). What is the hundreds digit of i(8)?
2
Suppose 119291 - 193910 - 191158 = -61*w. What is the tens digit of w?
5
Let f = -3368 + 4233. What is the hundreds digit of f?
8
Suppose -125*s = 34*s + 2*s - 1148735. What is the hundreds digit of s?
1
Let m be 28/6*45/2. Let z be (20/(-16))/(24/672). What is the units digit of (m/75)/((-1)/z)?
9
Let g be (424/120*5)/((-2)/(-42)). Suppose 4*c = 26 - 2. Suppose -g - 151 = -c*n. What is the tens digit of n?
8
Let y(k) = k**3 + 11*k**2 - 26*k + 2. Let n be y(-13). Suppose r - 2*r = 1, 4*a - n*r = 62. What is the units digit of a?
5
What is the hundreds digit of ((2 - 1) + 11 - -1)/(24/10488)?
6
Suppose -120 = -11*l + 3*l. Suppose l*a + 182 = 17*a. Suppose -a - 197 = -3*d + 3*b, -4*b + 101 = d. What is the tens digit of d?
9
Suppose 12*w - 30049 - 19320 + 2857 = 0. What is the units digit of w?
6
Let v(m) = 4*m**2 + 5*m + 18. Let z be v(-4). Let c = 26 - z. Let w = 99 + c. What is the units digit of w?
3
Let d(n) = 2*n - 17. Let p(k) = k - 5. Let j(a) = 3*d(a) - 10*p(a). Let r(v) = -v**3 - 6*v**2 + 8*v + 5. Let y be r(-7). What is the units digit of j(y)?
7
Suppose 45*v - 57705 = 33*v - 16257. What is the thousands digit of v?
3
Suppose 2*v + 7 = -1, -4*o - 2*v + 32 = 0. Suppose 8*x = o*x - 92. What is the tens digit of x?
4
Suppose -136*l = -11*l - 214875. What is the thousands digit of l?
1
Suppose 0 = 5*o - 2*f - 34511, 8*f = 10*f - 4. What is the hundreds digit of o?
9
What is the tens digit of ((-72)/108)/(0 - 2/3867)?
8
Suppose 9*f + 7096 - 10187 - 11966 = 0. What is the hundreds digit of f?
6
Let v = 465 - 652. Let n = -12 - v. Let u = 255 - n. What is the units digit of u?
0
Suppose -2*h - 13 + 17 = 0. Suppose -h*v + x = -446, 0 = 3*v - 2*x - 881 + 210. Suppose -5*l - 2*p = -v - 123, -l + 4*p + 60 = 0. What is the tens digit of l?
6
Let x(s) = s**3 - 4*s**2 + 3*s + 3. Let o be x(3). Let r be (6*o/(-4))/((-9)/48). What is the tens digit of (2 + (-9)/(-12))*r?
6
Suppose 4*c - 3042 = 1246. Suppose -4*y = 5*d - c, 562 = 2*y - 5*d + 56. What is the hundreds digit of y?
2
Let u(y) = y**2 - 5*y - 1. Let w(i) = -i**2 + 4*i + 1. Let a(s) = -4*u(s) - 5*w(s). Let p(m) = m**3. Let l(o) = -a(o) - 2*p(o). What is the tens digit of l(-3)?
4
Suppose -4*g + 1660 - 176 = 0. Let u = g - 245. What is the hundreds digit of u?
1
Let l(h) = -974*h - 83. What is the tens digit of l(-1)?
9
Let j(a) = -91*a**3 - a**2 - a. Let w be 5*(-4)/(16/(-12)). Let o = 14 - w. What is the units digit of j(o)?
1
Let d(w) = w**3 - 1. Let z(i) = -4*i**3 - i**2 + i + 2. Let y(g) = -3*d(g) - z(g). Let o be y(0). What is the units digit of (((-3)/9)/(2/(-204)))/o?
4
Let h = -141 + 140. What is the tens digit of h - 2/(8/(-1596))?
9
Let j = 2049 + -970. What is the tens digit of j?
7
Let t = -198 + 200. What is the tens digit of 17*((-3)/18)/(t/(-12))?
1
Let w(d) = 14*d**2 + 11*d + 2. Let p(c) = 41*c**2 + 32*c + 6. Let l(r) = 6*p(r) - 17*w(r). Let g be l(-3). Let z = 89 - g. What is the units digit of z?
0
Suppose j = -3*y + 3*j + 1107, -4*y - 2*j + 1490 = 0. Suppose 0 = -n + y + 73. What is the tens digit of n?
4
Let u(j) be the third derivative of j**5/12 + 7*j**4/24 + 9*j**3 - j**2 + 12. What is the units digit of u(-9)?
6
Let p = -57 - -125. Let m(h) = 13*h**2 + 9. Let r be m(-4). Suppose -5*n + r = -p. What is the tens digit of n?
5
Suppose 5*c - 51 = f - 5*f, 4*c = 4*f - 24. Suppose 10*i - f*i = -3*z + 112, -i + 100 = -3*z. What is the units digit of i?
6
Suppose -2 = b - 14. Suppose 0 = -3*q + 4*w - 70, -3 = q - 3*w + b. What is the units digit of ((-16)/(-20))/((-3)/q)?
8
Let z(u) = 6*u + 1. Let k be z(2). Let l = k - 9. Suppose y - l*y + 12 = 0. What is the units digit of y?
4
Let d = 1932 - 452. Suppose 4*r = 2*f + d, -r + 2*r - 5*f - 388 = 0. What is the tens digit of r?
6
Suppose 0 = m + 7*m + 216. What is the tens digit of (1*(-568)/(-6))/((-6)/m)?
2
Let s = -46 - -77. Let r = 55 - s. What is the units digit of (r/(-9))/((-6)/207)?
2
Let x(t) = 1977*t - 275. What is the hundreds digit of x(4)?
6
Let p be (-26)/39 - (-1)/(9/33). Suppose m = p*i + 2*m - 616, 408 = 2*i - 2*m. What is the hundreds digit of i?
2
Let t = 12232 + -2857. What is the hundreds digit of t?
3
Let o(z) = 125*z + 44. Let j be o(3). Let a = 6 + j. What is the tens digit of a?
2
Let g be (8/14)/((-22)/(-77)). Suppose 0*m - 902 = -5*m - 4*f, 914 = 5*m - g*f. What is the hundreds digit of m?
1
What is the hundreds digit of (8/(-28))/(72/(-378))*15188/6?
7
Suppose 0 = -2*s - 45 + 63. Suppose -s*d + 38 + 196 = 0. What is the units digit of d?
6
Let v be (-8 + 2)*42/(-36). Suppose 2*u = -5*n + 21, -3*n + 4 = v. What is the tens digit of u?
1
Let k be 30/1*(-1)/(-2). Let r be -1*(-83 - (-8)/2). Suppose -r = -2*u + k. What is the tens digit of u?
4
Let u be (3 - 11/3)*-12. Let o be (-2)/u*0 - -100. Suppose 5*g + 100 = 4*d, -3*d + 3*g + o = d. What is the units digit of d?
5
Suppose 2*u + 1236 = 5*r, -4*r + 0*u - 2*u + 996 = 0. Suppose 18*k + r = 19*k. What is the units digit of k?
8
Suppose 2*u - 2*p - 4438 = 0, 0 = -5*u + 12*p - 9*p + 11085. Suppose -5*c = -2*n - u, -c - 2*n = 4*c - 2226. What is the hundreds digit of c?
4
Let q = 6407 - 3712. What is the tens digit of q?
9
Let n(r) = 37*r**2 - 14*r - 1. What is the units digit of n(-7)?
0
Let z(g) = -8980*g**3 + 8*g**2 + 4*g + 2. What is the hundreds digit of z(-1)?
9
Let s(i) = -16*i - 29. Let p(r) = -4*r - r - 6 - 9 - 3*r. Let w(a) = 5*p(a) - 2*s(a). What is the units digit of w(-8)?
7
Suppose 3*g + 30 = 276. Let p = g + -32. Suppose 4*f = 2*f + p. What is the units digit of f?
5
What is the tens digit of (-273045)/(-60) - ((-15)/(-20))/(-3)?
5
Let f = -212 - -531. What is the units digit of 5 + (-1)/(-1) + f?
5
Suppose -4*j - 5*o - 5 = 0, 4*j - 2*o - 35 = o. What is the tens digit of (1108/(-10))/(-1) + (-4)/j?
1
What is the tens digit of (-116862)/(-30) + (-26)/65?
9
Let k(j) = j + 2. Let y = -27 - -19. Let g be k(y). What is the units digit of (-3 + -12)*(14/g - 1)?
0
Suppose 3*w - 7 = 5. Suppose -3*g + 5*h = -11, -3*g - w*h - h = 29. What is the units digit of (-5)/((g - -4)*-1)?
5
Suppose -69334 = -18*j + 6*j + 974. What is the hundreds digit of j?
8
Let w = -4721 + 10280. What is the thousands digit of w?
5
Let k(l) = 3*l - l + 106 - 27. What is the tens digit of k(25)?
2
Suppose -t + 2889 = y, -596*t - 2*y + 11560 = -592*t. What is the tens digit of t?
9
Let j(g) = 2*g**2 - 11*g - 28. Let c(f) = 2*f - 42. Let b be c(15). What is the units digit of j(b)?
2
Let n = 32 + 20. Let g = -7 + n. What is the tens digit of 0 + (g - 4) - 4?
3
Suppose 3 - 15 = 6*b. Let r be -2*(-3 + b/(-1)). Suppose r*f = -3*h + 123, -2*h - 2*f + 82 = f. What is the tens digit of h?
4
Suppose 8*s + 26 = 98. Suppose -281 = -s*v + 8*v. What is the tens digit of v?
8
Suppose -w - 6 = -3*j + 4, 5*j = -2*w + 2. What is the units digit of 13 - (8/j - -2)?
7
Suppose 0 = 6*c - 20725 - 23639. What is the thousands digit of c?
7
Suppose -2*j + 4*j = 3*m + 9, -4*m = 5*j - 34. Suppose 3*f - j = -0*f. What is the tens digit of ((-78)/(-12))/(f/28)?
9
What is the hundreds digit of (-114)/399 - ((-107295)/21 - 2)?
1
Let w = 15 - 19. Let y(m) = 4*m + 18. Let h be y(w). Suppose -42 = -2*a + 3*s, 0 = h*a + a + s - 74. What is the tens digit of a?
2
Suppose 4*m + 280 = -3*i - i, 3*m + 250 = 5*i. What is the units digit of 4/(-30) + (176995/m)/(-7)?
7
Let q(u) = 26*u**3 - 2*u**2 + 3*u - 1. Let p be q(2). Let b be p/20 - (-2)/(-8). Let k = b + 42. What is the tens digit of k?
5
Let j(v) = 3*v**3 + 5*v**2 - v. Let r(c) = -13*c**3 + 3*c + 3 - 20*c**2 - 5 + 4 - 3. Let h(k) = 9*j(k) + 2*r(k). What is the units digit of h(3)?
1
Let b(h) = -13*h**2 - 6*h + 2. Let x(g) = 27*g**2 + 13*g - 5. Let d(j) = -13*b(j) - 6*x(j). What is the hundreds digit of d(-6)?
2
Let z(c) = -c**3 + 27*c**2 - 41*c + 37. Let n(b) = -b**3 + 26*b**2 - 42*b + 37. Let f(o) = 4*n(o) - 5*z(o). What is the units digit of f(30)?
3
What is the units digit of (1 + 2846/(-6))*(4 - (-116)/(-8))?
0
Let i(x) = 156*x**3 - 4*x**2 - 9*x + 49. What is the units digit of i(4)?
3
Let b(q) be the second derivative of 57*q**3/2 - 3*q**2/2 + 6*q + 2. What is the hundreds digit of b(1)?
1
Suppose -3*b - 3*u - 13359 = -6*b, -u = 0. What is the thousands digit of b?
4
Let g(p) = -p**3 - 39*p**2 + 31*p**2 - 4*p + 5 - p + 11. Let b be g(-7). Suppose b*f + 54 = 156. What is the units digit of f?
1
Let c(x) = 200*x - 287. What is the tens digit of c(25)?
1
Let r(a) = -2*a**2 + 8*a + 2. Let y be r(4). Let s be y/(-16) + (-3157)/88. Let c = -10 - s. What is the tens digit of c?
2
Let a be (-75)/(-30)*(-4)/(-5). Suppose q = -3*q - 8, -b = -2*q + a. Let g = b + 10. What is the units digit of g?
4
Suppose -5*i = -15, -4*c = -26*i + 22*i - 5384. What is the hundreds digit of c?
3
Suppose 0*d = 5*d + 10411 - 44886. What is the tens digit of d?
9
Let x(p) be the third derivative of 3*p**4/8 - 3*p**3/2 + 12*p**2. Let i be x(-5). Let o = -30 - i. What is the units digit of o?
4
Let a(v) = -5*v**3 + 15*v**2 + 31*v - 32. What is the tens digit of a(-10)?
5
What is the thousands digit of (1 + -2430 + 6)*-1?
2
Suppose 12*k - 21 = 5*k. Suppose -n + 28 = k*n - 4*q, -4*q + 8 = 5*n. Suppose 0 = 3*y - n - 29. What is the units digit of y?
1
Suppose -137*a + 136*a - w = -5, 7 = -4*a + 5*w. Suppose 232 = -3*r + 5*r. Suppose a*b - 4*b + r = 0. What is the tens digit of b?
5
Let o = -1584 + 3026. What is the hundreds digit of o?
4
Let g(b) = 9 + 0*b**2 + 3*b + b**2 + 7*b**2 - 19*b**3 + 20*b**3. Suppose 5*a - 8 + 38 = 0. What is the units digit of g(a)?
3
Suppose y + 8 = -5*i, 3*y + 10*i - 6*i + 2 = 0. Suppose 549 = y*q - 327. What is the tens digit of q?
3
Let q(t) = t**3 + 27*t**2 + 40*t + 85. Let s be q(-27). What is the hundreds digit of s/((-15)/3) + 4?
2
Let v = -12294 - -18686. What is the tens digit of v?
9
What is the hundreds digit of (224/(-14) - -5636) + (1 - 7)*-1?
6
Suppose -76*f + h - 26016 = -79*f, -2*f + 2*h + 17352 = 0. What is the hundreds digit of f?
6
Let q(w) = -38*w + 22. Let f(m) = 5*m + 18. Let b be f(-4). What is the units digit of q(b)?
8
What is the hundreds digit of 58106/51*(-6)/(-1) + 3 + -7?
8
What is the tens digit of (-6)/(-23 - -5) + (-50840)/(-12)?
3
Let z = 32 + -30. Let o(l) = -3*l**3 + 21 - 10 + 0*l**2 + 3*l - 8 - l**z. What is the tens digit of o(-3)?
6
Suppose 4907 + 33756 = 4*t - 5*n, 2*t + 2*n = 19354. What is the tens digit of t?
7
Let i(x) = 7995*x**2 + 30*x - 32. What is the hundreds digit of i(1)?
9
Let j = -9113 + 18344. What is the thousands digit of j?
9
Suppose -83*b = -5*u - 88*b + 10950, 4*b = u - 2190. What is the hundreds digit of u?
1
Let z(p) = -p**3 + 15*p**2 - 8*p - 27. Let f(t) = 4*t**2 - t - 1. Let j be f(2). What is the hundreds digit of z(j)?
2
Let u(r) = 5 - 33*r + 18*r + 11*r. Let n be u(8). Let j = n - -31. What is the units digit of j?
4
Let l(w) = -w. Let r(y) = y**3 - 2*y**2 - 11*y - 11. Let m(p) = -5*l(p) + r(p). What is the hundreds digit of m(7)?
1
Suppose -2*i = 2*t - 1318 + 300, 0 = 3*t + i - 1537. What is the tens digit of t?
1
Let n = 30 + -25. Suppose n*m - 338 = -3*b, -2*b - b = 3*m - 198. Suppose m + 56 = 2*l - 3*d, l - 52 = -4*d. What is the tens digit of l?
6
Suppose 0 = -22*z + 16*z + 41298. What is the thousands digit of z?
6
Let f(l) = l**2 - 15*l - 9. Let q be f(16). Let h be (q/(-28))/(((-2)/(-56))/(-1)). Let j = 43 - h. What is the tens digit of j?
3
Let z = 83 - 87. What is the tens digit of ((-1)/z*-311)/(3/(-12))?
1
Suppose 2*k - 123 = 75. Suppose 6*o - 7*o + k = 0. Let j = o - 51. What is the units digit of j?
8
Let i = 5713 - 1747. What is the thousands digit of i?
3
Let y be ((-1)/(-3))/(6 + 24459/(-4077)). Suppose 4*t + z + y = 5*t, 4*z + 16 = 0. What is the hundreds digit of t?
4
Suppose 0 = 3*n + 2 + 4. Suppose -3*w - 7 = -3*a + 11, 5*a + 20 = 0. Let s = n - w. What is the units digit of s?
8
Let t = 5304 + -2374. What is the hundreds digit of t?
9
Let i(a) be the first derivative of a**3/3 + 2*a**2 + 8*a + 13. Let r be i(-4). Suppose -5*s = -r*s + 243. What is the tens digit of s?
8
Let o = -5911 - -15077. What is the units digit of o?
6
Suppose -3*r - g + 13 = 0, -13 = r - g - 3*g. Let h be ((-96)/(-5))/(r/20). Let q = h - 79. What is the units digit of q?
9
Suppose -j + 777 = -128. Suppose -2*l - 5*s + 449 = 0, -4*l - 7*s + 4*s + j = 0. What is the units digit of l?
7
Suppose 9*u - 14*u + 533 = -4*p, -4*p + 121 = u. What is the tens digit of u?
0
Suppose 3*y + 4*k + 14 = 0, 2*k - 2 = 3*k. Let r be 3/(5/y + 4). Suppose -n = r*q, -4*n - 7 = 3*q - 2*q. What is the units digit of q?
1
Let r(q) = -q**2 + 7*q - 3. Let g be r(-12). Let u = g + 463. What is the tens digit of u?
3
Suppose 8*v = 13*v - 260. Suppose v = 3*q - 53. What is the units digit of q?
5
Let v = 16499 + -8992. What is the tens digit of v?
0
Suppose 0 = 10*z - 3*z - 21. Let h be (-4)/(-3 + -1) + 299. Suppose 9*u = z*u + h. What is the tens digit of u?
5
Suppose 44*x - 42*x = 2*o - 7930, 3949 = o + 3*x. What is the units digit of o?
1
Let t(f) = 1181*f**2 - 40*f - 3. What is the thousands digit of t(-1)?
1
Let u(w) = -8619*w**3 - 8*w**2 - 5*w + 2. What is the thousands digit of u(-1)?
8
Let b = 5626 + 4212. What is the tens digit of b?
3
Let u = 29 - 21. Suppose -f + 0 = u. Let j(p) = -p**3 - 8*p**2 + p + 10. What is the units digit of j(f)?
2
Suppose 5*w - 32 = -2. Suppose 19*t + w = 21*t. What is the units digit of t?
3
Let l = -8000 - -17414. What is the tens digit of l?
1
Let y(h) = -h**3 - 3*h**2 - 4*h - 4. Let b be y(-3). What is the units digit of (b - 2) + 6*50?
6
Let d = -936 - -5300. What is the units digit of d?
4
What is the tens digit of -9230*13/(-13) + 0?
3
Let k be (-8)/((14/12)/(-7)). Let b = -45 + k. What is the units digit of 69*((-12)/b)/(-12)?
3
Suppose 1 + 23 = 8*y. Suppose 5*o - 5*g = -2*g + 728, 2*o = 5*g + 295. What is the tens digit of (-3)/((-5)/o*y)?
2
Suppose 5*f - 235 = 2*c, 0*f + c - 152 = -3*f. Suppose -59 - f = -9*q. Suppose -7*j + q*j = 340. What is the tens digit of j?
6
Let l(g) = 4*g + 16. Let c be l(-2). Suppose 0*q + k = 3*q - 1081, -c = 2*k. What is the units digit of q?
9
Suppose 19 = -u + 2*h, -3*u - 12 - 100 = 5*h. Let z be (-3 - u)*(-1)/2. Let k(o) = -o**2 - 14*o + 31. What is the tens digit of k(z)?
4
Suppose -4105 = -69*t + 64*t. What is the tens digit of t?
2
Let f(j) = 436*j**2 - 18*j - 36. What is the tens digit of f(-2)?
4
Suppose 5*k - 47 = -3*u + 1, 4*k = u + 35. Let r(q) = 8*q + 8 - 4*q - 3*q + 11. What is the tens digit of r(k)?
2
Let z be (0 - 0)*9/(-9). Suppose -5*u + z*u - 75 = 0. What is the units digit of 67 + -5*((-18)/u)/3?
5
Let g(y) be the first derivative of y**3/3 - 5*y**2 + 18*y + 8. Let w be g(8). What is the tens digit of 1*14 - 3/w*-2?
1
Let o(b) be the third derivative of -b**4/24 + 5*b**3/3 + 6*b**2. Let r be o(9). What is the units digit of (7 - r/1)/2?
3
Let a(n) = 138*n**2 + 75*n + 519. What is the units digit of a(-7)?
6
Suppose 0 = -3*q, -5*n + 3*q = -q - 60. Let g(c) = -15*c + 22. Let v be g(n). What is the units digit of 2/30*3 + v/(-10)?
6
Let k(y) = -y**3 + 8*y**2 - 8*y + 9. Let d be k(6). Let r = -28 + d. Suppose r*b - 46 = 459. What is the hundreds digit of b?
1
Let m(z) = -64 + 24*z - 6*z + 17*z. What is the hundreds digit of m(14)?
4
Suppose -2*n + x - 11 = -2*x, 3*x - 25 = -5*n. What is the hundreds digit of (2/n)/((-1)/(-303))?
3
Let f(p) = p**3 - 12*p**2 - 14*p + 16. Let d be f(13). Suppose 0 = -2*y - 5*l + 101, 0 = 3*y + 2*y - d*l - 268. Let c = y - 4. What is the units digit of c?
9
Suppose 0 = m - 2*m + 3. Suppose -u - 17 = -j, 4*j + 2*u - m*u = 59. Suppose 0 = -d + j + 46. What is the units digit of d?
0
Let y(c) be the second derivative of 1/4*c**4 + 0 + 10/3*c**3 + 4*c**2 + 18*c. What is the tens digit of y(-8)?
4
Suppose -17062 = 19*y + 17*y - 199798. What is the hundreds digit of y?
0
Let o(y) be the first derivative of 13*y**3 - 7*y**2/2 - 9*y + 2. What is the hundreds digit of o(-3)?
3
Let z = -33 - -27. What is the tens digit of (-3 - z)*29 - 2*2?
8
Let r(n) = -146*n - 1387. What is the hundreds digit of r(-31)?
1
Let i(r) = 168*r + 759. What is the units digit of i(48)?
3
Let v = -14 - -23. What is the tens digit of ((-386)/3)/((-2)/v*3)?
9
Suppose 0 = 3*l - 6*l. Suppose -2*r = -4*t - l*r + 120, -5*t + 164 = r. Suppose 0 = -g + 2*h + 17, 2*h - t = -4*g + 16. What is the tens digit of g?
1
Let a = 2032 + -1801. What is the tens digit of a?
3
Let g = 368 - 164. Suppose -2*q + 4*i + 30 = 0, 2*q - i = -0*q + 15. Suppose -q*r = -r - g. What is the units digit of r?
1
Let m = 1294 - 886. Suppose -m = -2*j + 26. What is the tens digit of j?
1
What is the thousands digit of (-1)/(-8) + 1274949/408?
3
Suppose 6 = 7*m + 6. Suppose 4*u - 2*u - 2*z - 252 = 0, m = -u + 5*z + 114. What is the hundreds digit of u?
1
What is the tens digit of 59 + -70 - 6058/(-1)?
4
Let b be 1/(-3 + (-430)/(-145)). Let g = 32 + b. Suppose -g*z + 8*z - 4*w - 50 = 0, -5*z - 5*w = -5. What is the units digit of z?
6
Let m be 0 - 5/10*-4. Let x(c) = 3*c - 2*c + 2*c**m + 19*c**3 - c**2 - 1 + 0*c**2. What is the tens digit of x(1)?
2
Let g be -1 + 2 + (-16 - -18). Suppose -4*i + 3*o + 6 = 0, -5*o + g = 13. Suppose 5*s + 37 - 252 = i. What is the tens digit of s?
4
Let m be ((-24)/(-18))/((-8)/(-18)). Suppose -13*i + 5664 = m*i. What is the tens digit of i?
5
What is the tens digit of (-13974)/(-4) + 34/(-68)?
9
Let u(d) be the third derivative of d**6/120 + d**5/6 - 5*d**4/24 - 4*d**3/3 + 3*d**2 + 12*d. What is the units digit of u(-5)?
2
Let r = -3389 - -4929. Suppose 8*y = 13*y - r. Suppose -y = -3*z - 41. What is the tens digit of z?
8
Suppose 0 = -2*i + 3*d + 18 + 5, 5*i - 5 = -3*d. Suppose -3*o + 425 = u, i*u - 5*u + 4*o + 418 = 0. What is the tens digit of u?
2
Suppose -70*i + 223124 + 119441 = -333425. What is the hundreds digit of i?
6
Let n(z) = -14*z - 42. Let k be n(-3). Suppose k = 6*l - 5*l - 51. What is the tens digit of l?
5
Let y = 202 - 190. What is the tens digit of 305 + -3 + y/2?
0
Let n = -19 - -20. Let s be n + -1 - (5 - -7)/(-3). Suppose 0 = 5*v - 5*x + 15, 0 = -3*v - 0*x - s*x + 19. What is the units digit of v?
1
Suppose -4*x = 5*c - 24790, -3*x = 3*c - 8*x - 14874. What is the thousands digit of c?
4
Suppose -2*w = -4*p + 564, 0*w + 20 = -5*w. Let q = 16 + -14. Suppose -5*d - b + p = -0*d, q*d - 50 = b. What is the tens digit of d?
2
Let u = 532 - -770. What is the units digit of u?
2
Let c(k) = k**2 + 6*k - 32. Let m be c(-10). Suppose -12*g = -m*g - 1592. What is the units digit of g?
8
Suppose -13*h = -20*h + 56. What is the hundreds digit of 2/h - ((-16548)/(-16))/(-7)?
1
Let p(k) = -k**2 - 6*k + 17. Let a be p(-7). Suppose -5*r = 5*g - 4*g - a, 2*r = 5*g - 77. Suppose -g*o = -11*o - 96. What is the tens digit of o?
2
Let v(t) = -334*t**3 + 33*t**2 - 7*t - 7. What is the thousands digit of v(-3)?
9
Let j(l) = 2*l**3 + 7*l**2 - 2*l. Let q be j(6). Let s be (0 - -3) + (16 - 8 - 5). Suppose -q = s*y - 13*y. What is the units digit of y?
6
Suppose -197*t = -190*t + 84. Suppose -3*g + 3 = -0. What is the units digit of 9/t*(g + -5)?
3
Suppose -9*n + 32*n = -3*n + 200460. What is the tens digit of n?
1
Let f = 175 - 171. Suppose 4*l - 449 = 5*w + 16, f*l = 3*w + 471. What is the hundreds digit of l?
1
Let x = -12 - -23. Suppose 13*v = x*v + 284. Suppose -v = -4*w + 58. What is the tens digit of w?
5
Suppose -4*h + 19408 = 4*k, -2*h + 6752 = 4*k - 12648. What is the tens digit of k?
4
Suppose 128 = -5*r + 6*r - 5*d, 5*d = -3*r + 404. Let i = 11 - 7. Suppose 115 + r = i*j. What is the units digit of j?
2
What is the units digit of (-29781)/2*((-100)/90)/(-5)*-3?
7
Let i = -221 + 217. Let r(j) = -5*j**3 - 3*j**2 - 3*j - 26. What is the units digit of r(i)?
8
Let o = -72 + 120. Let x = o + -44. What is the tens digit of ((x - 3) + -119)/(-2)?
5
Let i(b) = -2*b**2 + 10*b + 3. Let m be i(5). Suppose m*h - 55 = 314. What is the units digit of h?
3
Suppose -35*g - 130200 = -95*g + 40*g. What is the tens digit of g?
1
Suppose -4*g - 14 + 6 = 0, 0 = -5*x + 2*g + 46869. What is the units digit of x?
3
Let f be 154 - ((-24)/42)/((-2)/7). Let g = 87 + f. What is the hundreds digit of g?
2
Let n = 3128 - 1318. Suppose -2*b + n = -12*b. Let y = -126 - b. What is the tens digit of y?
5
Let b be 645/4 + 3/4. Suppose 0 = -2*x - f + 172, 4*x - b - 172 = 3*f. What is the units digit of x?
5
Suppose z + z - a = 72, -3*z + 5*a + 101 = 0. Let b = 40 - z. Suppose -5*y - 174 = -0*f - b*f, -2*f + 109 = -y. What is the units digit of f?
3
Let u = -3723 + 9463. What is the units digit of u?
0
Let s = 731 + -462. Let h = 1 + 2. Suppose -h*j + s = 80. What is the units digit of j?
3
Let p = -15 + 17. Suppose -p*j + 3*j + 4*k + 14 = 0, -j + 2*k = -10. Suppose -4*q = -2*v + 4*v - 186, -4*q - 186 = -j*v. What is the units digit of v?
3
Let t be (-1 + 0)/(-11*9/(-81774)). Let l = t + 1254. What is the hundreds digit of l?
4
Let p = -627 - -1109. Let v = p - 253. What is the hundreds digit of v?
2
Suppose -5*h + 17629 = -20*w + 17*w, -3*w + 3515 = h. What is the thousands digit of h?
3
Let o be 14/((-4 + 6)/(-32)). Let q = 102 - o. What is the units digit of q?
6
Suppose -4*x + 13 - 21 = 0. What is the units digit of ((-2)/x + 2)*1550/15?
0
Suppose 14 = 17*a - 20. Suppose 4 = 4*n, -p + 246 = 2*n + a*n. What is the hundreds digit of p?
2
Suppose 0 = 2*a + 6, -1356 = -2*y - 3*y + 2*a. Suppose 5*d - 1200 = -y. What is the units digit of d?
6
Let f = -15 - -19. Let j = f + -3. What is the units digit of (j - 3)*-2*(-6)/(-4)?
6
Let f = 11335 - 4902. What is the thousands digit of f?
6
Let j(f) = -f**2 + 9*f + 38. Let d be j(-4). What is the tens digit of (-1012)/d + (-4)/14?
7
Let l = 131 - 129. Suppose -600 = -l*y + 2*s, -y - 5*s = -0*y - 306. What is the hundreds digit of y?
3
Suppose -29045 = 25*n - 191699 - 61746. What is the units digit of n?
6
Let g(c) = 641*c + 3. Let q be g(1). Suppose q = 3*a + 20. What is the units digit of a?
8
What is the hundreds digit of (24/(-18))/((-32)/42168)?
7
Let l = -215 + 28. What is the tens digit of 34/l + (-860)/(-11) + 1?
7
Let z(d) = 617*d**2 - 26*d - 30. What is the units digit of z(-3)?
1
Let x = 89 + -79. Suppose x - 343 = -p. What is the units digit of p?
3
Suppose 0 = j - 4*y - 241, 6*j - 5*j - 265 = -2*y. Suppose 0 = 4*v - v - 501. Let n = j - v. What is the units digit of n?
0
Let p(i) = -12*i + 4*i - 11*i - 4. Let q be p(-1). Let t(v) = 2*v - 28. What is the units digit of t(q)?
2
Let x = -10 - -9. Let c(a) = -4*a**2 - 7*a - 4. Let f(r) = r**2 - r + 1. Let n(p) = x*c(p) - 3*f(p). What is the units digit of n(-10)?
1
Let h be (-4)/8 + 3*14/12. Suppose 110 - 479 = -h*b. What is the hundreds digit of b?
1
Let l = 102 + -97. Suppose 5*h - 310 = -5*u, -l*h + 62 = u - 0*h. What is the units digit of u?
2
Suppose 36*y = 8*y + 60144. Suppose 7*g = g + y. What is the hundreds digit of g?
3
Let j(f) = -2*f**3 - 15*f**2 - 30*f - 12. Let v be j(-6). Let x be (1 + -2)/((-3)/(-132)). Let n = v + x. What is the tens digit of n?
1
Let p(t) = -45*t**2 - 4*t - 69. Let m(z) = 30*z**2 + 3*z + 46. Let l(n) = -7*m(n) - 5*p(n). What is the units digit of l(-5)?
3
Let c be 1/(-6)*-34*3. Let k = c + -12. Suppose -2*f + 164 = k*t, 0 = 4*f - f - t - 212. What is the units digit of f?
2
Suppose -2*s + 7*s - 25 = 0, -4*s = 3*d - 536. Let m = -68 + d. Suppose -z + 4*v + m = 0, -2*z + 0*z = -2*v - 202. What is the units digit of z?
0
Let y(b) = 3*b**2 + 21*b - 338. What is the hundreds digit of y(-43)?
3
Let f(b) = b**3 - 9*b**2 + 3. Let z = -3 + 12. Let a be f(z). Suppose a*i + 3*r - 288 = 2*r, 4*i = -4*r + 392. What is the tens digit of i?
9
Let d(j) = -16*j**3 + 19*j**2 + 107*j + 28. What is the tens digit of d(-7)?
9
Let w(l) be the second derivative of -l**3/6 - 3*l**2/2 - 17*l. Let c be w(7). Let i = 46 - c. What is the tens digit of i?
5
Let y(m) = -4*m**3 - 4*m**2 + 5*m + 7. Suppose -4*r = -w - 17, -3*r - 2*r = -5*w - 40. Let g be y(r). What is the units digit of g/(-3) + (-6)/9?
0
Suppose -200*u + 199*u + 1561 = 3*y, u - 4 = 0. What is the hundreds digit of y?
5
Let n be -233*((-15)/3 + -9). Suppose -19*h = n - 11261. What is the units digit of h?
1
Let h(d) = d**3 - 2*d**2 - 5*d - 3. Let x(t) = -t**2 - 6*t + 24. Let w be x(-9). Let i be h(w). Let z = 11 - i. What is the units digit of z?
4
Let s(c) = -8*c - 5. Let n be s(-6). Let u(z) = -z**2 + 5*z + 1. Let g be u(5). What is the tens digit of g + -2 + -1 + n?
4
Let f(w) = 3*w**3 - 8*w**2 + 2*w + 17. Suppose -10*a = 7*a - 85. What is the tens digit of f(a)?
0
Let d(w) = 19*w - 4. Let x = -12 + 9. Let f = 7 + x. What is the units digit of d(f)?
2
Let c(j) = -3*j**2 - 3*j + 10. Let d be c(0). Suppose -d*x + 1396 + 934 = 0. What is the units digit of x?
3
Let x(u) = -u**3 + 7*u**2 - 10*u + 3. Let q be x(6). Let l = -23 - q. What is the tens digit of l + (18 - 3) - (-3 - -4)?
1
Let g be 6/2*(17 - 15). Suppose 30 + g = -6*f. What is the units digit of (8/12)/(f/(-27))?
3
Suppose -4 = 7*h + 38. Let k be (-9)/h + (-3)/(-6). Suppose z - k = 16. What is the tens digit of z?
1
Suppose -2*y + 5*t = 456, 4*t = -y + t - 239. Let l = -69 - y. What is the tens digit of l?
6
Let x(t) = 2*t + 25. Let s be x(0). Suppose 20*m = s*m - 60. Suppose 0 = -7*a + m*a - 485. What is the tens digit of a?
9
Suppose -2*s + 13186 = -5*k + 3*k, -2*s + k + 13185 = 0. What is the hundreds digit of s?
5
Let p = 216 - 180. Suppose -40*x + 1556 = -p*x. What is the hundreds digit of x?
3
Let d(u) = u**3 + 5*u**2 + 3*u + 3. Let v be d(-3). Suppose 0 = y + 5, 2*f - y = -5 + 10. What is the tens digit of (f - 56/(-3))*54/v?
8
Let q(n) = -n**2 + 1. Let x(p) = -3*p**2 - 4*p + 29. Let t(c) = 2*q(c) - x(c). Let y be t(6). Let k = y + -29. What is the units digit of k?
4
Let l be (1/(-1))/(5/(-10)). Suppose 2212 = 5*h - l*m, -2*m - 2*m - 1316 = -3*h. What is the hundreds digit of h?
4
Let g(i) = -17*i + 121. Let m be g(7). Let f(u) = 208*u - 16. What is the units digit of f(m)?
0
Let c(k) = -k**3 + 18*k**2 + 11. Let z be c(18). Suppose 0 = -2*i + 47 + z. Suppose 28*b - i*b + 57 = 0. What is the units digit of b?
7
Suppose -3*q + 2*q - 22 = -l, 0 = 3*q + 3*l + 60. Let p(f) = -4*f - 2. What is the units digit of p(q)?
2
Let y(s) = -s**3 - 18*s**2 - s - 24. Let m be y(-18). What is the tens digit of (-375)/(-2)*m/(-9)?
2
Let h(a) = -a**3 - 30*a**2 + 66*a + 68. What is the hundreds digit of h(-35)?
8
Suppose 0*i + 12 = 6*i. Suppose 0 = -s + f + 5, -f + 19 = 3*s + i*s. Suppose -s = -c - 0. What is the units digit of c?
4
Let q be (-90)/(-25) - (-2)/5. Suppose q*l = 3*b - 32 - 104, 5*b - 5*l - 230 = 0. What is the tens digit of b?
4
Let s be 231/(-44) + 2/8. What is the hundreds digit of (s*1/(-2))/((-5)/(-410))?
2
Suppose -20*w = 46 - 206. Suppose 0 = -4*q - w - 4, -q + 1142 = 5*t. What is the hundreds digit of t?
2
Suppose 5*d - 6213 = -z - 1137, -3*z = -3*d - 15156. What is the units digit of z?
6
Let w be (-7)/(-5) - (-52)/(-130). Let x be (21/9)/(w/3). Let i(c) = c**2. What is the tens digit of i(x)?
4
Let p be (-10)/50 - ((-452)/10 - 1). Suppose 9*k - 4*k = 205. Suppose 200 = -k*c + p*c. What is the units digit of c?
0
Let j be (-80)/(-35) - ((-24)/28)/(-3). Suppose j*s - 518 - 246 = 0. What is the tens digit of s?
8
Suppose 17*s = 21*s - 20. Let c be (-1 + 3/s)/((-2)/(-50)). What is the units digit of (-2 - 32/c)*5?
6
Let l be (-3)/7 - (6620/(-28) + -6). Let z = -132 + l. What is the units digit of z?
0
Suppose 0 = 117*p + 106*p - 1177217. What is the tens digit of p?
7
Let j(u) = 13*u**3 + 4*u**2 - 5*u + 2. Let s be j(2). Let w(i) = -4*i**2 - i + 4. Let v be w(4). Let h = v + s. What is the tens digit of h?
4
Let a = -5531 + 8936. What is the tens digit of a?
0
Suppose 10 = -3*x + 13. What is the tens digit of (268 - (1 + -2))*x?
6
Let c = -183 + 188. Suppose c*a = 6*a - 49. What is the units digit of a?
9
Let w be (-875)/(-42) - (-2 - 22/(-12)). Let p be (-10)/(-35) - (-57)/w. Suppose -1 = -4*z + p*z. What is the units digit of z?
1
Suppose 5*j - 9*j + 3*b + 33488 = 0, 4*b + 16734 = 2*j. What is the tens digit of j?
7
Let a = -34 - -34. Suppose -4 + a = 4*g. What is the units digit of ((-316)/8)/(1/2)*g?
9
Suppose 0 = -14*s + 58157 + 18717. What is the units digit of s?
1
Let w(p) = p**3 - 44*p**2 + 232*p + 129. What is the hundreds digit of w(41)?
5
Let d = 18 - 11. Suppose -d*f + 3*f + 1280 = 0. Suppose 4*t - 8*t = -f. What is the units digit of t?
0
Let l = 93 + -81. Suppose -l*r + 5151 = 39. What is the hundreds digit of r?
4
Let z(o) be the first derivative of o**4/2 - 4*o**3/3 + o**2 + o - 13. Let w be z(2). Suppose 0*m + m - 3*h = 32, w*m - 2*h = 225. What is the tens digit of m?
4
Let h = 1114 - 409. Let b = h + -354. What is the hundreds digit of b?
3
Suppose -2*a + 56*y - 53*y + 14064 = 0, 6*y + 21093 = 3*a. What is the thousands digit of a?
7
Let l(p) = p**2 + 2*p - 44. Let w be l(0). Let b = w + 48. Suppose -333 = -5*i + 4*q, -b*q = -2*i + i + 57. What is the tens digit of i?
6
Let w(a) = a**3 - 5*a**2 - 12*a - 5. Let c(m) = m**3 - 6*m**2 - 13*m - 6. Let o(p) = 2*c(p) - 3*w(p). What is the tens digit of o(-7)?
2
Suppose -7*s - 28*s + 252180 = -5*s. What is the tens digit of s?
0
Let s(w) = w**3 - 10*w**2 - w + 13. Let k be s(10). Suppose -h + 207 = 3*h - k*d, 5*d = 5*h - 260. What is the units digit of h?
1
Let v be (13/(-4))/(3/(-72)). Suppose -585 = -11*p + 1032. Let a = p - v. What is the units digit of a?
9
Suppose 12*k - 13*k + 3*g = -3029, 3*g - 3053 = -k. What is the units digit of k?
1
Suppose 0 = 14*k - 8134 - 15330. Suppose -2*y + 887 = -3*d, 86 = 4*y - 2*d - k. What is the hundreds digit of y?
4
Suppose 2*h + 0*h - 48 = 0. Suppose h = 9*l - l. Suppose -4*j + 14 = 2*z, -l*j + 3 + 7 = 2*z. What is the units digit of j?
4
Let b(w) = 258*w**2 + 7*w - 18. What is the tens digit of b(6)?
1
Let k = 32 + -119. Let b = k - -45. Let m = b - -52. What is the units digit of m?
0
Let x(f) = 43*f**2 + 143*f - 5. What is the hundreds digit of x(11)?
7
Suppose 0 = -4*l - 5*i + 19220, 25811 + 17393 = 9*l + i. What is the tens digit of l?
0
Let r be ((15/6)/(-5)*2)/(-1). Let w be 2/6*-6*r. What is the tens digit of 1636/44 + w/11?
3
Let a be (3 + (-7)/2)/((-6)/5208). Suppose 3*k - a = 28. What is the units digit of k?
4
Let z(c) = -c**3 + 16*c**2 - 29*c + 12. Let d be z(14). What is the tens digit of (714/24 + 6)/(d/(-16))?
8
Suppose 4*y = 2*k - 26, -3*k + 2*k + y = -16. Let n = k + -13. Suppose n*c - 17 = 367. What is the units digit of c?
4
Suppose 3764 + 7083 = 4*k - 1477. What is the hundreds digit of k?
0
Let i(f) = -51*f - 3. Let q be i(-1). Suppose -4*l = 2*l - q. What is the units digit of 256/14 + l/(-28)?
8
Suppose 44*k = 20*k + 23736. What is the hundreds digit of k?
9
Suppose -r + 4744 = v, 2*v + 4729 = 91*r - 90*r. What is the thousands digit of r?
4
Let h = 2054 - -4505. What is the units digit of h?
9
Let g = 1173 + -821. Suppose -23*h = -34*h + g. What is the units digit of h?
2
Let m(r) = 2*r + r + 2*r**2 + 25 + 5*r**3 - 6*r**3. What is the units digit of m(0)?
5
Let k(w) = 8*w**2 + 137*w - 203. What is the tens digit of k(-44)?
5
Let m be 4*7/(42/(-33)). What is the units digit of m + 26 + (0 - -194)?
8
Suppose 3*v - 3 = -3*j, 4*v - j = -3*j + 10. Suppose 3*p = -v*s + 526, -2*s = -p - 0*p + 192. What is the tens digit of p?
8
Let r(l) = -l**2 + 58*l + 490. What is the hundreds digit of r(52)?
8
Suppose 8 = 2*v + 2*t, -2*t - t = -5*v + 12. Let q = v + -1. Suppose q*x - 91 = 23. What is the units digit of x?
7
Let y(m) = 16*m**3 + m - 2. Let j be y(1). Suppose j*k = 18*k - 360. Suppose -g - g = -k. What is the units digit of g?
0
Suppose 0 = -5*q - 4*u + 30002, -15*u + 6010 = q - 11*u. What is the tens digit of q?
9
Let k be (14 + -6 - 2)/(0 - -2). What is the tens digit of ((-45)/6)/(k + 55/(-18))?
3
Let l(s) = -2*s**2 - s - 1. Let u(a) = -a**3 - 33*a**2 - 48*a - 30. Let n(g) = 6*l(g) - u(g). What is the hundreds digit of n(-18)?
2
Suppose -1 + 3 = u. Let y be (338/8 - u)/((-11)/(-44)). Suppose 4*x - 27 = y. What is the tens digit of x?
4
Let r = 18346 - 10563. What is the thousands digit of r?
7
Let s(o) = -o**3 - 7*o**2 + 13*o + 34. Let w be s(-8). Let l = 2 - -4. What is the tens digit of (39/w)/((-1)/l)?
3
Suppose 2*o + 3*f - 6 + 2 = 0, 2*f = -4. Suppose 310 + 145 = o*p. What is the tens digit of p?
9
Let j = 663 + 1004. What is the thousands digit of j?
1
Suppose -13*d - 15*d + 250279 = 35155. What is the units digit of d?
3
Suppose -3*f - 26 = -2*f. What is the units digit of (-12112)/f + (-7 - 744/(-104))?
6
Let a = 1802 + -1060. What is the tens digit of a?
4
Let i(y) = 346*y**2 - 67*y + 199. What is the tens digit of i(5)?
1
Let d(x) = x**3 + 3*x**2 - x. Let v(t) = t**2 - 6*t - 29. Let s be v(9). Let j be d(s). What is the units digit of 2/j*-1 + 1068/18?
9
Let i = 7743 + -2727. What is the tens digit of i?
1
Let q(p) = -24*p - 6. Let b be q(-7). Suppose 0 = -h - 52 + b. What is the hundreds digit of h?
1
Suppose 0 = -2*q - 3*q + 15. Let n(u) = -4 - q*u + 3*u + 4*u - 7. What is the units digit of n(14)?
5
Suppose -153*c + 12508 = -149*c. What is the thousands digit of c?
3
Let u be (-6)/(-9)*-6*1. Let a be 2 + (0 - u - -187). Suppose 4*g = -3*m + 83 + a, 5*g - 345 = -3*m. What is the tens digit of g?
6
Let i(n) = -4119*n**3 - 6*n**2 - 5*n + 1. What is the hundreds digit of i(-1)?
1
Suppose 7 = -j + 7. Let x be j - -1 - 0 - -2. Suppose 2*d - 4*o = 194, 376 = x*d + d + 4*o. What is the units digit of d?
5
Let v be ((-52)/(-8))/(1/2). Let j(p) = 3*p + 56. What is the tens digit of j(v)?
9
Suppose 11*k = 21*k - 20. Suppose -2*q - l + 0*l + 807 = 0, 3*q = k*l + 1214. What is the hundreds digit of q?
4
Let v = 3288 - 1023. What is the hundreds digit of v?
2
Let c(i) = -i**3 - 6*i**2 + 110*i + 53. What is the tens digit of c(-23)?
1
Suppose 24124 - 3832 + 5832 = 4*q. What is the tens digit of q?
3
Let n(r) = 71*r + 28. Let x be n(4). Let v = 733 - x. What is the units digit of v?
1
Suppose 0 = 268*u - 241*u - 146664. What is the units digit of u?
2
Let h(q) = 12*q + 122. Let o be h(-7). Let u be (-40)/2 - (-1)/(-1). Let r = u + o. What is the units digit of r?
7
Suppose 15*k - 68443 - 19655 = 37512. What is the units digit of k?
4
Let b(l) = 3 + 0 + l + l**2 + 0*l + 0. Let v be b(-2). Suppose -4*w - w + 40 = 2*x, v*x - 100 = -4*w. What is the units digit of x?
0
Let y(f) = 34*f + 97. Let p be y(5). Let q = 13 + p. What is the tens digit of q?
8
Suppose -3*p = 5*y - 6*y + 812, 796 = y + p. Suppose -l + 403 = -4*q, 0 = -0*l + 2*l - 5*q - y. What is the tens digit of l?
9
Suppose w + 160 = 5*w. Suppose -6*j = -j + w. What is the units digit of 4/j*2*-4?
4
Suppose 5*q - j - 3*j = 30, -4*j + 60 = 4*q. What is the hundreds digit of (204/q)/((-4)/120*-6)?
1
Let h = 12529 + -3082. What is the hundreds digit of h?
4
Suppose 0 = 32*j - 169642 - 88662. What is the thousands digit of j?
8
Let s(b) = 345*b + b**2 + 0*b**2 - 344*b. Let n be s(2). Let d = 31 - n. What is the tens digit of d?
2
Suppose -r + 4 = 0, -3*g + 11*r + 5688 = 8*r. What is the tens digit of g?
0
Let z be (-6)/(9*3/2520). What is the tens digit of z/2*(12/20 + -1)?
1
Suppose 27*f + 5*t - 22 = 28*f, -3*f = 5*t + 86. Let r be 73 + 0 - (1 + -1). Let v = f + r. What is the tens digit of v?
4
Let k(n) = 2*n - 14. Let y be k(11). Let b be (1*-2)/1 - (-400)/y. Let j = b + 25. What is the tens digit of j?
7
Let o = 5749 - -3977. What is the hundreds digit of o?
7
Suppose -2*z + 3*z = 0. Suppose -x - 2*x + 540 = z. Suppose 0 = -3*f - 0*f + x. What is the tens digit of f?
6
Let b(k) = k**3 - 15*k**2 + 12*k + 28. Let i be b(14). What is the tens digit of -7 + (i - -5) - -244?
4
Let w be (-4 - -47) + -1 + 3. Let u = -43 + w. Suppose -l - 81 = -g - 0, -162 = -u*g - 5*l. What is the tens digit of g?
8
Suppose -193 = -4*r - a, -2*r - r - 5*a + 149 = 0. Let d = 46 - r. What is the tens digit of (6/(-5))/(8/210)*d?
6
Suppose 33784 = 24*f + 9856. Let w = -552 + f. What is the units digit of w?
5
Let w(y) be the first derivative of -103*y**4/2 + 4*y**3/3 + y**2/2 - 2*y - 55. What is the units digit of w(-1)?
7
Let v(n) = -27*n - 46. Let q(u) = -u**2 + 4*u - 8. Let w be q(5). What is the hundreds digit of v(w)?
3
Let y(s) = 5*s**2 - 6*s + 9. Let b be y(7). Let g = 416 - b. What is the hundreds digit of g?
2
What is the thousands digit of (3 - (-13)/(-4))*-8*147595/70?
4
Let h be 1370/15*(9/(-2))/(-1). Let m = h - 116. What is the hundreds digit of m?
2
Suppose 4*r + 411 - 3675 = 0. Suppose 6*d = 23*d - r. What is the tens digit of d?
4
Let z = -378 - -6980. What is the tens digit of z?
0
What is the units digit of (18 + 429/(-26))*(11992/6 - 2)?
5
What is the units digit of 43/86 - (-1)/(4/6074)?
9
Let c be (((-798)/(-3))/2)/(1 + -2). Let k = c - -264. What is the tens digit of k?
3
Let f(l) = -27*l**2 + 7*l. Let j(w) = -w**2 + w. Let v(r) = -f(r) + j(r). What is the hundreds digit of v(-4)?
4
Let y be (1 - 1) + -4 - 5. Let o be 597/24 + y/(-72). Suppose -2*h + o = -169. What is the units digit of h?
7
Suppose -9*q - 60*q - 176645 + 609344 = 0. What is the hundreds digit of q?
2
Suppose 70*s - 66*s = 0. Let d(b) = b**3 + b**2 - b + 2. Let j be d(s). What is the tens digit of 0/j + 3*32?
9
Let w(o) = 129*o - 6. Suppose 10*n + 0*n = 10. What is the units digit of w(n)?
3
Suppose -35 = -4*u + 45. Let s = -18 + u. What is the units digit of s/9 + 79/9?
9
Suppose -5*g = 2*d - 115, 5*g - 100 = -0*g + d. Let i(s) = 7*s - 7. What is the units digit of i(g)?
0
Suppose 2*c - 3*h - 96 = 0, -30 - 108 = -3*c + 3*h. Let a(l) = 2 - l**3 + 79*l - c*l - 37*l - 2*l**2. What is the units digit of a(0)?
2
What is the units digit of (-954)/2226 - (89928/(-14) - -1)?
2
What is the units digit of ((-746)/(-9))/((-18)/(-810))?
0
Let v = -9581 + 17370. What is the units digit of v?
9
Suppose 35*q - 14760 - 10977 = -34*q. What is the tens digit of q?
7
What is the thousands digit of (-4)/3 + (-199512)/(-27)?
7
What is the tens digit of (-5618)/(-4)*(148 - 142)?
2
Let s = -59 - -72. Suppose -23*c + s*c + 1470 = 0. What is the hundreds digit of c?
1
Suppose 0 = -7*d - d - 9*d. Suppose -49*r + 51*r - 490 = d. What is the hundreds digit of r?
2
Suppose -108367 = -11*k - 18717. What is the tens digit of k?
5
Let j be -2*(-12)/(-16)*2. Let m(h) = h**3 + 4*h**2 - 6. Let t be m(j). Suppose 5*v + 181 = 3*r, 2*v - 355 = -5*r - t*v. What is the tens digit of r?
6
Let d(y) = -39*y + 4 + 63*y + 2. Let a(m) = -m + 1. Let r(j) = -4*a(j) + d(j). What is the units digit of r(3)?
6
Let j be (-1)/(12/8)*-3. Suppose j*d = 194 + 162. What is the tens digit of d?
7
Suppose -8 = 2*d + y, -5*d - 18 = -0*y + 2*y. Let s be (36/8)/((-1)/d). What is the tens digit of ((-3)/s)/(2/(-402))?
6
Let g(i) = 4*i + 17. Let d be g(5). Let z = d - 36. Let j = z - -46. What is the units digit of j?
7
Let m(w) be the first derivative of -w**3/3 + w - 4. Let s be m(1). Suppose s*f - f + 2*q + 55 = 0, 4*f - 214 = 5*q. What is the tens digit of f?
5
Suppose 10 = 24*m - 22*m. What is the tens digit of 8*m/(-10) - -111?
0
Suppose 2*s = -3*p - 4061 + 17158, 0 = -4*p + 20. What is the tens digit of s?
4
Let k be ((-18)/27)/(1/3) - -65. Suppose 423 = 2*n + k. Suppose 11*b - n = 2*b. What is the units digit of b?
0
Suppose -2*u = -n + 2, 4*u + 4*n - 3 = 5. Let j(c) = c + 356. What is the tens digit of j(u)?
5
What is the units digit of 4 + ((-69)/2)/((-1)/58)?
5
Suppose 3*w = -5*i + 44706, w = -3*i + 33834 - 7012. What is the thousands digit of i?
8
What is the thousands digit of 535667/55 + 161/210 + (-1)/6?
9
Let n(d) = 4222*d + 589. What is the tens digit of n(2)?
3
Suppose -3*w + 100 = -2*x, 0 = -w - 2*x - 3*x + 56. Let y = w - 26. Let m = y + 20. What is the tens digit of m?
3
Let g(r) = 42*r**2 - 4*r - 9. Let y be g(-3). Let m = y + -262. What is the units digit of m?
9
Let h be 79/(-2 - 3/(-2)). Let x = h + 201. What is the units digit of x?
3
Let k(w) = -16*w + 6. Let f be k(3). Let c = 10 - f. Suppose -13*a = -17*a + c. What is the units digit of a?
3
Let n(g) = 194*g - 54. Let z be n(-15). What is the units digit of 6/(-18) - 5/(45/z)?
9
Suppose 0 = 23*x + 121 - 328. Suppose -832 = 7*o - x*o. What is the units digit of o?
6
What is the hundreds digit of (195670/(-2))/(-17) + 1 + -2?
7
Let k be 980/(0 - 5) - -6. Let a = k - -496. What is the tens digit of a?
0
Let d be ((-18)/(-8))/((-9)/48). Let k = 7 + d. What is the tens digit of (-513)/k + -2 - 4/(-10)?
0
What is the thousands digit of 7193 + 32/12 + -2 + 340/(-51)?
7
Let p(s) = -6*s - 1. Let c(h) = -6*h - 2. Let b(u) = -3*c(u) + 2*p(u). Let d be b(-4). Let f = 7 - d. What is the units digit of f?
7
Suppose 1 = -a, 4*z + 5*a - 6711 = 8028. What is the hundreds digit of z?
6
Suppose -5*l - 3*f - f = 330, -2*f = 0. What is the units digit of 20/(3/(-1) - l/18)?
0
Let c(q) = -1 + 5*q**2 + 6 - 8*q - 5*q. Let i(p) = 3*p**2 - 7*p + 3. Let u(m) = -6*c(m) + 11*i(m). What is the units digit of u(5)?
3
Let j(x) = -x**2 + 37*x + 79. Let t be j(25). Suppose -t*s + 384*s = 2205. What is the tens digit of s?
4
Let m be (430/(-20))/(273/(-138) + 2). Let u = m + 1396. What is the tens digit of u?
0
Let d(o) = -14*o**3 - 12*o**2 - 15*o + 46. What is the units digit of d(-8)?
6
Suppose -3*g = 4*g - 203. Let d = g + -27. Suppose h - 53 = -s, 3*s = -d*s + 3*h + 257. What is the units digit of s?
2
Let v(f) = f**2 + 3*f + 8. Let j be v(-3). Let q(g) = 2 + 24*g - 75*g - j. What is the tens digit of q(-2)?
9
What is the hundreds digit of (16/10 - 2) + (-402856)/(-740)?
5
Let v(y) = 5419*y**3 + y**2 + 2*y + 2. Let a be v(-1). Let d be (a - (3 + 0)) + -3. What is the units digit of d/(-66) - (2 + 20/(-11))?
2
Let d be (-9)/(-36) + 2 + (-161)/4. Let g = d + 37. What is the tens digit of g + (-7)/(-9) - 7035/(-189)?
3
Suppose 0 = 85*a + 44982 - 210562. What is the thousands digit of a?
1
Suppose -3*f + 2*y = -6*f + 25, -f = 3*y - 20. Suppose 5*w + f*j - 1240 = 0, 2*w + 4*j = -w + 744. What is the hundreds digit of w?
2
Suppose -36*u - 1875 = -39*u. Let k = -307 + u. What is the tens digit of (-38)/57*k/(-4)?
5
Let s(r) be the third derivative of -407*r**6/120 + r**5/30 + r**4/12 + 52*r**2. What is the hundreds digit of s(-1)?
4
Let q(f) = -f + 7. Let o be q(-12). Suppose -o*p + 17*p = -6. Let w(n) = 2*n**3 - 2*n**2 + n + 3. What is the units digit of w(p)?
2
Let t = -2050 - -6168. What is the units digit of t?
8
Let v = -709 + 2174. What is the tens digit of v?
6
What is the thousands digit of (7675/20 - 3)*12?
4
Suppose 11*m = 109 - 538. Let h = m + 44. Suppose -57 = -h*u + 258. What is the tens digit of u?
6
Suppose 2*y + 7 = 1. Suppose -169 = -9*o + 128. Let x = o - y. What is the units digit of x?
6
Let b(c) = 107*c - 65. Let n be b(6). Let g = n - 361. What is the hundreds digit of g?
2
Let f = -24 - -28. Suppose f*t = -t + 5. Suppose 0 = 3*z - 2 - t. What is the units digit of z?
1
Let r(h) = 209*h + 408. What is the thousands digit of r(35)?
7
Suppose 3 - 13 = 5*i. Let g = i - -4. Suppose -g*j + m = -157, 5*j + 5*m - 173 - 197 = 0. What is the tens digit of j?
7
What is the hundreds digit of 12/(-27) + (53356/(-5))/(207/(-115))?
9
Let b(z) = 140*z + 546. What is the tens digit of b(46)?
8
Suppose 0 = 5*w - 5 - 10. Suppose -40 = t - j, t + 156 = -w*t + 3*j. Let a = 130 + t. What is the tens digit of a?
9
Let i = 6947 + -2780. What is the thousands digit of i?
4
Let d(j) = -j**2 + 3*j - 4. Let x be d(0). Let s be (0 - -1) + (-35 - x). Let y = s - -55. What is the units digit of y?
5
Let z(y) = -20*y + 6. Let k be z(8). Let u = -71 - 155. Let j = k - u. What is the tens digit of j?
7
Suppose -2*z = -2*b - b - 39, 9*z + 3*b - 192 = 0. Suppose -2*s = -0*g + g - 75, 4*s - 145 = -g. Suppose 2*o = z + s. What is the units digit of o?
8
Let j = -2327 + 2833. What is the hundreds digit of j?
5
Let a(r) = -2*r + 28. Let f be a(13). Suppose -f*j + h + 801 = 0, 75 = 5*j + 2*h - 1914. What is the hundreds digit of j?
3
Let a = -94 + 370. Suppose -32*s - 130*s + 648 = 0. Suppose s*g + 252 = 4*i, 2*g = -6*i + 2*i + a. What is the units digit of i?
7
Let h = 687 - 438. Let v = -150 + h. What is the units digit of v?
9
Let t = 217 - 294. Let o = 345 + t. What is the units digit of o?
8
Let h be 1/4 + (-77)/(-28) - 3. Suppose h = 8*i - 565 + 93. What is the units digit of i?
9
Let i(v) = 48*v + 36. Suppose 23 = 7*r - 12. What is the tens digit of i(r)?
7
Let y(j) = -j - 2. Let o be y(11). Let k(d) = d**2 + 24 + 0*d**2 + 9*d + 4*d. What is the tens digit of k(o)?
2
Let x(h) = 11*h + 218. Let t be 0*(1 - (10/4 - 2)). What is the tens digit of x(t)?
1
Suppose 5*x + 4 + 13 = -2*h, x + 13 = 2*h. What is the hundreds digit of (7 - h)/(-6)*(-293 - -1)?
1
Suppose -8*m - m - 9 = 0. Let f be ((-14)/(-4) - 3)*(-6)/m. Suppose 75 = f*n - 225. What is the units digit of n?
0
Let h = 869 - 1442. What is the tens digit of (-1)/(-3 + h/(-192))?
6
Let s(o) = -o**3 - 13*o**2 - 3*o - 8. Let r be s(-13). Let h(l) = l**2 - l - 5. Let i be h(-4). What is the tens digit of (-6)/i*(6 - r)?
1
Let z(u) = 7*u - 10. Let t be z(3). Let k(p) = -11 + t + p + 92. What is the tens digit of k(0)?
9
Let v(r) = 2*r. Let q be v(2). Suppose -11 = -2*x - 2*o + 3, 1 = -5*x + 4*o. Suppose x*k = 2*b - 146, -q*b = -3*b - 3*k - 76. What is the tens digit of b?
7
Let h(l) = -395*l - 1721. What is the thousands digit of h(-24)?
7
Suppose 9*s + 11*s - 80 = 0. Suppose -s*a = 5*q - q - 36, -2 = 2*q. What is the units digit of a?
0
Suppose -73*j - 22968 = 72*j - 544823. What is the hundreds digit of j?
5
Let c(p) = -p - 2. Let u be c(-3). Let b be 0 + (0 + u - -3). Suppose 4*s - 5*x = s + 102, b*x = 0. What is the tens digit of s?
3
Let m be 2 - ((-4 - -1) + -43). Suppose m - 12 = 4*q. Let b = q + 4. What is the tens digit of b?
1
Suppose -142 = -3*v + 2*q + 1495, 5*v - 4*q = 2725. What is the tens digit of v?
4
Suppose 2*j + 4*p + 17002 = 5*j, 0 = j - 2*p - 5666. What is the hundreds digit of j?
6
Suppose 0*h + 32 = 2*z - 5*h, -3*h + 18 = 5*z. What is the tens digit of ((-1887)/6)/(-1) + 9/z?
1
Suppose 0 = -2*s + 4*s - 408. Let j = s + -124. What is the tens digit of j?
8
Let d(j) = -3*j**3 - 131*j**2 + 64*j + 81. What is the thousands digit of d(-45)?
5
Suppose 8668 = r - 2*v, 0 = 5*r + 10*v - 7*v - 43366. What is the thousands digit of r?
8
Suppose 1886 = -27*y - 3487. Let q(a) = -a**3 + 3*a**2. Let s be q(6). Let z = s - y. What is the units digit of z?
1
Suppose u - 3*h - 14 = -h, -2*u + 38 = -2*h. Let n = u - -336. What is the hundreds digit of n?
3
Let z be 4/(-1) - 0 - -97. Let d = z + 134. What is the units digit of d?
7
Let t = -267 - -1165. Suppose -10*k + 3522 + t = 0. What is the hundreds digit of k?
4
Let u be (-1 - 1986/(-6)) + 0/2. Let z = u - 45. What is the hundreds digit of z?
2
Suppose 368 = 5*w - 1182. Let b be (w/(-8))/5 + 2/(-8). What is the tens digit of (0 - 156/15)*60/b?
7
Let x(k) = k**3 + 8*k**2 - 6. Let w be x(-8). What is the units digit of 5 - 1266/(36/w)?
6
Let d = 2184 - -1710. What is the thousands digit of d?
3
Suppose -6*x + 45 = -11*x. What is the units digit of (-4)/(x/(2646/12))?
8
Suppose 0 = 6*n + 80 + 40. Let b be n/30*30/(-4). Suppose -4*u + 110 = 3*q, -b*q - 2*u + 135 = -5*u. What is the tens digit of q?
3
Let t be ((-2)/3)/((-2)/13911). Suppose -8*o = -t + 1557. What is the hundreds digit of o?
3
Let g = -6 + 11. Suppose 4*n + 5*d - 140 = 0, -g*n - 74 + 282 = -2*d. Let a = n - 35. What is the units digit of a?
5
Suppose -5*a - 7 + 22 = 0. Suppose 4*c = 4*r - 236, -3*c - 18 = a*r + 177. Let j = 8 - c. What is the units digit of j?
0
Let q be ((-36)/(-3))/(1/(-194)). Let n be (-2)/(-5) - (q/5)/6. Suppose 4*v - 62 = -5*j + n, 3*j + 4*v = 92. What is the tens digit of j?
2
Suppose -3*f + 16 = -2. Let l(a) = 6*a - 1 - f - 6. What is the tens digit of l(9)?
4
Let u(t) = 3*t - 19. Let m be u(8). Let l = m + 0. Suppose l*i - 10 = 0, c - 88 = 2*i - i. What is the units digit of c?
0
Let u = 31 - 33. Let q be ((-6)/(-12))/(u/(-1960)). Suppose -96 = -k - 3*f, q = 5*k + 3*f + 22. What is the units digit of k?
3
Suppose -3*j - 2 = 2*y + 3*y, 0 = 3*y - 15. Let g = 9 + j. Suppose h + g*h = -n + 48, 3*h = 4*n - 227. What is the tens digit of n?
5
Let i be (1*4/(-6))/(2/(-10539)). Suppose t - 3516 = -5*c - t, i = 5*c + t. Suppose -5*b - 4*b + c = 0. What is the tens digit of b?
7
Let z(y) be the first derivative of -5*y**4/24 + 61*y**3/6 - 4*y**2 - 12. Let a(c) be the second derivative of z(c). What is the tens digit of a(0)?
6
Let w(v) = 1022*v - 637. What is the units digit of w(8)?
9
Let q(v) = v**3 + 2*v**2 + 2*v - 2. Let g be q(-2). Let c be 3/6 - 981/g. Suppose f = o + 35, -4*f + 0*o = 2*o - c. What is the units digit of f?
9
Let i(u) = -u**3 + 3*u**2 - 4*u + 4. Let f(w) = 3*w**3 - 8*w**2 + 12*w - 12. Let q(z) = 2*f(z) + 7*i(z). Suppose -37 + 33 = -h. What is the units digit of q(h)?
4
Suppose -4*w - 18 = 2, 2*l = -w - 5. Suppose l = 2*b + 4*t - 294, b - 416 = -2*b - t. What is the hundreds digit of b?
1
Let u = 191 - 191. Suppose -37*p + 41*p - 528 = u. What is the units digit of p?
2
Let r(n) = n**3 + 37*n**2 + 7*n - 275. What is the thousands digit of r(-25)?
7
What is the units digit of 2*((-5)/(-10))/(-1)*-2017?
7
Suppose -88*o + 105*o - 68 = 0. Suppose -3 + 1 = 2*w. What is the units digit of (o/12)/(w/(-114))?
8
Let c(u) = 83*u**2 + 119*u + 53. What is the thousands digit of c(-11)?
8
Let s = -376 - -3252. What is the tens digit of s?
7
Suppose 5*z + 4*y = 2*y + 15, 5*z - 2*y = 15. Suppose 0 = -z*u - 7*k + 3*k + 483, 2*k = -u + 161. What is the hundreds digit of u?
1
Let y = 15545 + -8883. What is the thousands digit of y?
6
Let x = 4849 + -1103. What is the hundreds digit of x?
7
Let o = 3176 + 646. What is the thousands digit of o?
3
Let a(c) = c**2 + 7*c + 4. Let z be a(-5). Let r be 48/6*(-57)/z. Suppose 9*t = 715 - r. What is the units digit of t?
1
Suppose 24105 = 74*h - 69*h + 5*p, -h - 4*p + 4836 = 0. What is the tens digit of h?
1
Let m(u) be the first derivative of 7*u**2/2 - 26*u + 18. Let b = 42 + -26. What is the units digit of m(b)?
6
Let z = 1008 + -560. Suppose 1398 = 13*l - z. What is the units digit of l?
2
Let s(q) = 2*q**2 - 11*q - 10. Suppose 0 = a - 5*a + 24. Let b be s(a). What is the units digit of (-3)/b + 10/8?
2
Suppose 0 = 2*o - 2 + 22. Let i(u) be the first derivative of -u**3/3 - 5*u**2 + 7*u - 1. What is the units digit of i(o)?
7
Let r(a) be the first derivative of -a**2/2 + 4*a - 13. Let p be r(0). What is the tens digit of 4*3/p + 74?
7
Let f(p) = p**3 - 13*p**2 + 2. Let n = 23 - 10. Let u be f(n). What is the tens digit of (-2 + 3)*54 + (u - 0)?
5
Let t be (-26)/65 - (-7670)/50. Suppose 0 = -2*i - i - 186. Let v = t + i. What is the units digit of v?
1
Suppose 143*h - 48*h - 999460 = -125*h. What is the units digit of h?
3
Suppose -j - 5 = f, -3*j - 4*f = 12 + 8. Let s be (0 + j + 0)/2. What is the tens digit of 4/14 - ((-393)/21 + s)?
1
Let w = -3666 + 5793. What is the thousands digit of w?
2
Suppose 122*g = 118*g + 12. What is the hundreds digit of 1043/3 + (g - 22/6)?
3
Let s(o) = 2*o + 9. Let n be s(-2). Suppose 13 - 3 = -n*c. What is the tens digit of (-105)/c - (-3 - 21/(-6))?
5
Let f(m) = 10*m**3 + 20*m**2 + 19*m + 1. Let b be f(-7). What is the tens digit of 0 + b/(-14) - (-36)/63?
8
Let c(f) = 7*f**2 + 2*f + 2. Let g = -33 - -54. Let n = g - 23. What is the units digit of c(n)?
6
Let d = 31 + 63. Let c = 116 - d. What is the units digit of c?
2
Suppose 0 = t - g - 5, 2*g - 2 + 4 = 0. Let k(q) be the second derivative of 17*q**3/6 - 2*q**2 + q. What is the tens digit of k(t)?
6
Suppose -5*g + 28*z + 16241 = 32*z, 5*z + 13001 = 4*g. What is the thousands digit of g?
3
Suppose -5*p + 2*k = -2*p - 43, 64 = 4*p - k. Suppose 0 = -p*q + 21*q - 596. What is the hundreds digit of q?
1
Let s(q) = 6*q**2 + 20*q - 74. What is the hundreds digit of s(27)?
8
Suppose -n = c - 4, 6*c = 2*c + 4*n + 24. What is the hundreds digit of -323*(-6 + 10 - c)?
3
Let i = -128 - -133. Suppose 3*c - 714 = -3*s, 0 = 4*s + s - i. What is the units digit of c?
7
Let m be (267/(-9))/(58/(-30) - -2). What is the hundreds digit of (20/12)/(5/6) - m?
4
Let o(f) = 57*f + 4. Let d be o(-4). Suppose -163 = 7*i - 2396. Let j = d + i. What is the units digit of j?
5
Let x(a) be the first derivative of a**5/2 + a**4/12 - a**3/6 + a**2/2 + 12*a + 15. Let n(b) be the first derivative of x(b). What is the units digit of n(2)?
3
Let t be (111 - 2)*(5 + -4). Let h = t - 54. What is the tens digit of 2189/h - 8/10?
3
Suppose -4*m - 16*m + 337403 = 17*m. What is the units digit of m?
9
Let h(x) = 55*x + 554. What is the tens digit of h(22)?
6
Suppose 3*q + 76 = 97. Let y(j) = 5*j**3 + 3*j**2 + j - 25. Let h(b) = -3*b**3 - b**2 + 12. Let s(z) = -7*h(z) - 4*y(z). What is the units digit of s(q)?
6
Let f be (-4)/9 - (-800)/180. Suppose 806 = 3*x + 2*o, -f*x - 3*o + 1612 - 539 = 0. What is the hundreds digit of x?
2
Suppose -3 = 3*o, 4*i - 8*i = -o - 133. Suppose -5*v + i + 7 = -5*p, 5*v = p + 20. Suppose -6*t + t = 0, v*y - 4*t = 75. What is the tens digit of y?
2
Suppose -2*x = 20*c - 15*c + 10, 3*c = -5*x - 25. What is the units digit of (c - -1) + ((-12)/3)/(-4)?
2
Suppose 3*m = -4*q + 2*m - 12384, 3*m + 12376 = -4*q. What is the tens digit of q/(-7) + (-20)/(-35)?
4
Suppose 3*t + 3*j - 18614 = 199, 6283 = t - 5*j. What is the hundreds digit of t?
2
Let g = 28 + -9. Let k = g + -52. Let x = -22 - k. What is the units digit of x?
1
Let t(g) = 45*g**2 - 126. What is the hundreds digit of t(7)?
0
Let j(i) = -i**3 + 16*i**2 + 22*i - 8. Suppose 3 = m, 4*c - 9 = 2*c - 3*m. Suppose -2*q + 4*r + 34 = c, 0*q + 17 = q - 5*r. What is the tens digit of j(q)?
7
Let v(i) = -34*i + 43. Let t be v(-20). Let r = -326 + t. What is the hundreds digit of r?
3
Let w(a) = 20*a - 10. Let v be w(6). Suppose 5*g = -0*g + v. Suppose 0 = -5*o - 3*n + 42, -4*o - o = -2*n - g. What is the units digit of o?
6
Let r be (-9)/2*(-8)/(-6)*-2. Suppose -2*x + r = -3*x - 4*b, x - 5*b - 24 = 0. Suppose -x*a = -5*l - 21 - 226, 6 = -2*l. What is the units digit of a?
8
Suppose 5*o - 4*c - c = 165, 2*c = 4. Let r = o + -33. What is the tens digit of 1*r + (-275)/(-11)?
2
Suppose -s + 4*u + 142 = 0, 3*s + 17*u - 13*u - 362 = 0. What is the units digit of s?
6
Let f(c) be the first derivative of -c**4/2 - 10*c**3/3 + 7*c**2/2 + 8*c + 36. What is the tens digit of f(-8)?
3
Suppose 147 + 848 = 5*c. Let q = c - -220. What is the tens digit of q?
1
Suppose -15 = -4*j + 13. Let p = j + -6. What is the units digit of (p/(-1) - 73)/(6/(-3))?
7
Let g(i) = 2*i - 13. Suppose 5*j = -2*s + s + 46, -3*s = -3. Let n be g(j). Suppose 4*b - 46 = -4*y + 346, 0 = -3*y - n*b + 302. What is the units digit of y?
4
Let w(d) = d**2 + 3*d. Let q be w(-4). Let o = 0 + q. Suppose -16 = -o*r, 3*m - 93 - 53 = -5*r. What is the units digit of m?
2
Suppose -5*x = 2 - 17. Suppose -l + 20 = 2*y - 7*y, y = x*l - 18. What is the tens digit of ((-4)/4)/(y/(603/3))?
6
Let v = -47 + 70. Let h = v + 363. Suppose -3*f - w + h = 106, -276 = -3*f + 3*w. What is the units digit of f?
3
Let c = -25 - -25. Suppose 1832 = 4*g - c*g. What is the tens digit of g?
5
Let l = 148 - 146. Suppose 0 = -4*a - 4*t + 432, 2*t + 236 = l*a - 0*t. What is the tens digit of a?
1
Let f = -113 - -118. Suppose -3*h + f*h - 296 = 4*w, -459 = -3*h + w. What is the hundreds digit of h?
1
Let a(u) = 795*u**2 + 7*u - 6. What is the thousands digit of a(-3)?
7
Suppose 0 = 3*n + n - 8. Suppose a - 10 = -a + n*r, r + 5 = -a. Suppose a = m - w - 41, -2*m = 3*m - 4*w - 200. What is the units digit of m?
6
Let i(v) = -v**3 - 9*v**2 - 11*v - 15. Let l be i(-7). Let x = l - -41. Let p = 16 + x. What is the tens digit of p?
2
Let b(i) = -5*i**3 - i**2 + 3*i + 10. Let z = 74 + -77. What is the hundreds digit of b(z)?
1
Let l(f) = 4*f**2 - 29*f + 4. Let m be l(7). Let g(w) = -25*w + 6. What is the tens digit of g(m)?
8
Let p(c) = 2*c**3 + 73*c**2 - 46*c + 79. What is the tens digit of p(-37)?
1
Suppose 3*b + 16*a = 19*a + 27951, 46561 = 5*b + a. What is the tens digit of b?
1
Suppose -4*v + 3*h + 288 = 0, -4*h + 0*h + 216 = 3*v. Let g(f) = -7*f + 19. Let x be g(9). Let j = v + x. What is the tens digit of j?
2
Let c(j) = -221*j + 7026. What is the units digit of c(0)?
6
Let f = -407 - -576. Let c = f + -100. What is the units digit of c?
9
Let i = 127 + 465. Let p = -390 + i. What is the units digit of p?
2
Suppose c = -4*p + 317, -11*c = -6*c + 5*p - 1600. Suppose -i = 3*z - c, -i + 4*z + 224 = -104. What is the tens digit of i?
2
Let t(s) = 63*s**2 - 114*s + 603. What is the units digit of t(6)?
7
Let m(f) be the third derivative of f**5/15 - f**4/4 + 77*f**3/6 + 57*f**2 - 2. What is the units digit of m(7)?
1
Let d(w) = 2*w**2 - 14*w - 14. Let c be d(8). Suppose 4*j + 84 = c*j. Let k = -9 - j. What is the tens digit of k?
3
Suppose 2*s = 2*p + 6, 0 = 4*p + 2 + 6. Let m be 6/(-8) + s - (-506)/88. Suppose 420 = -h + m*h. What is the tens digit of h?
8
Let q(b) = -2256*b + 99. What is the hundreds digit of q(-4)?
1
Let i(y) = 1329*y - 1488. What is the hundreds digit of i(6)?
4
What is the thousands digit of 30/((-5)/((-17070)/10254) + -3) + -3?
8
Suppose 1331*v = 1322*v + 9459. What is the thousands digit of v?
1
Suppose 43*f - 27637 = 41871 + 24705. What is the tens digit of f?
9
Suppose -44*g + 254881 = -54527. What is the units digit of g?
2
Suppose x = 5*d - 2767, -955 = -2*d + x + 153. What is the tens digit of d?
5
Suppose -2*i + 3*z + 2680 = -2811, 0 = 2*i - 2*z - 5494. What is the units digit of i?
0
Let m(z) = z**2 - 7*z + 10. Let q be m(5). Suppose q = 4*h + 4*s - 1020, 5*s - 137 + 1402 = 5*h. What is the tens digit of h?
5
Suppose 251481 - 6753 = 15*g + 39*g. What is the units digit of g?
2
Suppose 4*q + 2*f - 5844 = 0, 4*q - 1736 - 4118 = 3*f. What is the hundreds digit of q?
4
Suppose 131*m - 126*m + 1220 = 0. Let k = -56 - m. What is the hundreds digit of k?
1
Let j(v) = 2*v**2 + 3*v + 1. Let x be j(-2). Suppose -80*w + 6568 + 3992 = 0. Suppose 5*q + 4*t = 215, 4*t - w = -x*q + t. What is the units digit of q?
9
Let a = -1820 - -2884. What is the thousands digit of a?
1
Let g = -69 + 72. Suppose w + 342 = g*p - 2*p, 3*p - 1018 = w. What is the units digit of p?
8
Suppose -2*z = 2*l - 18190, 3*z - 67*l = -72*l + 27287. What is the units digit of z?
4
Let p be 8/20 + (9/15 - -2). Suppose 0 = -3*b + 5 - 2, p*b = 2*g - 3. Suppose -5*w + 5*z + 35 = 0, 13 = g*w + 6*z - z. What is the units digit of w?
6
Let w(t) = 26*t + 3. Suppose 0 = 8*d - 17 - 7. Suppose -3*q + 12 = 3*v, -q + 2*v = d*q + 2. What is the tens digit of w(q)?
2
Suppose -28*q + 4355 = -23*q. Suppose 0 = -6*h - 7*h + q. What is the units digit of h?
7
Suppose 7*a = 3 + 11. Suppose -a*l + l + 4*k + 433 = 0, l - 443 = -k. What is the hundreds digit of l?
4
Let h be (6/2 - 8)*(-56)/10. Suppose 52 = 5*g - h. What is the tens digit of g?
1
Let d(v) = -v**3 + 5*v**2 + 6*v - 11. Let n be d(5). Let p = n + -11. Suppose 0 = 4*u - x - 175, p*x = -2*u + 4*x + 74. What is the tens digit of u?
4
Let f(l) = 16*l**2 - 3*l - 2. Let h be f(-1). Suppose 11 = 3*r + h. What is the tens digit of 189/3 + (r - -5)?
6
Suppose -398771 - 519144 + 95115 = -176*o. What is the thousands digit of o?
4
Let p(c) = 6*c - 17. Let y(f) = 13*f - 35. Let n(m) = -7*p(m) + 4*y(m). Let i be 495/(-30)*4/(-6). What is the tens digit of n(i)?
8
What is the tens digit of ((-539)/28*-11)/((-10)/(-440))?
1
Suppose -723 - 693 = 4*x. Let w = x + 700. What is the hundreds digit of w?
3
Let w be (24/32)/(1/(-16)). What is the hundreds digit of (-26)/39*27/w*254?
3
Let o(b) = -3*b + 7. Let q be o(-6). Suppose 2*z - 4*c - c = -q, -2*c = -10. Suppose z = 7*y - y - 576. What is the tens digit of y?
9
Suppose 16354 = 4*p + 10*p - 3764. What is the tens digit of p?
3
Let x(w) = -w**2 + w**3 - 20*w + 404 + 36*w - 18*w. Let k be x(0). Suppose -2*o - 579 + 151 = -5*a, k = 5*a + 4*o. What is the tens digit of a?
8
Suppose -5*s - 10 = 5*o, 4*s + 4*o = 2*s - 4. Let g be s - (494/(-10) - (-6)/(-10)). Suppose 0*q + 2*q - g = 0. What is the tens digit of q?
2
Let p(l) = -l**3 - 12*l**2 + 9*l - 32. Let x be p(-11). What is the units digit of ((-48)/(-14))/((-3)/(x/8))?
6
Let y be -8 - (7 - 15/3). Let j(l) = -32*l - 15. What is the units digit of j(y)?
5
Let i = 7381 + -4697. What is the thousands digit of i?
2
Suppose -5*f - 24 = -d - 2*d, 12 = 3*d - f. Suppose 5*v + 4*w - 506 + 130 = 0, 0 = -3*v + d*w + 231. What is the units digit of v?
6
Let j = -25 - 2. Let u = -27 - j. Suppose u = a - 10 - 0. What is the tens digit of a?
1
Let a(z) = 34*z + 93. Let f be a(9). What is the tens digit of (-24)/10*(-6 + f/(-6))?
7
Suppose 0 = -8*p - 976 - 128. Let c = p + 179. What is the tens digit of c?
4
What is the units digit of ((-148)/(-259))/((-8)/(-134372))?
8
Let t(b) = -503*b + 136. What is the tens digit of t(-8)?
6
Let a be (-1 + 11)*(-6)/(-12). Suppose -a*x - 4 = 2*j - 11, 5*x - 10 = -5*j. Let d(c) = 3*c**2 + 2*c - 2. What is the units digit of d(x)?
3
Let y = 8 + -2. Suppose -y*o = -3*o - 51. Suppose -o*j + 16*j = -43. What is the units digit of j?
3
Let x = 283 - 193. Let b(p) = 5*p**3 + 2*p**2 + 4*p + 1. Let r be b(3). Let g = r - x. What is the units digit of g?
6
Suppose -3*l - 12 = -2*v, -2*v = -l - 5 - 3. What is the hundreds digit of 0 + -4 - 658/l?
3
Suppose 2*s = 5*y - 618 + 8716, 0 = 3*y - 12. What is the units digit of s?
9
Let v(t) = t**3 + 7*t**2 - 2*t - 3. Let c be v(-7). Suppose -a + c = -5*j + 245, 4*a - 4 = 0. Suppose 190 = 3*b - j. What is the tens digit of b?
7
Suppose 6*j - j - 4*d = -6680, 5*j - 5*d + 6675 = 0. Let k be (-10)/1*77/55. What is the tens digit of 3*(-2)/(-21) + j/k?
9
Let m = 2091 + 3964. What is the thousands digit of m?
6
Let d(i) = 417*i**2 + 32*i - 146. What is the units digit of d(4)?
4
Let x = 4 - 5. Let j be -34 + (-16)/(x + -3). Let r = 35 + j. What is the units digit of r?
5
Let u(l) = -l**3 - l**2 - l + 26. Let g be u(0). Let d be g + 3/6*-6. Suppose 5*j - 32 = d. What is the tens digit of j?
1
Suppose -3*s = 5*y - 205, 4*s = -5*y + 2*s + 200. Suppose 0 = 5*g - 158 + y. Suppose k = 14 + g. What is the tens digit of k?
3
Let n = -1269 - -3240. What is the thousands digit of n?
1
Let c(j) = 22*j - 27. Let m be c(7). Let k = -218 + m. Let p = k + 162. What is the units digit of p?
1
Suppose 2*k - 3*l + 6 + 3 = 0, 4*l = -5*k + 12. Let o(a) = a - a**2 + 12 + 42 - 12. What is the units digit of o(k)?
2
Suppose -14*v + 6*v + 2264 = 0. Suppose -1107 = -3*w + 5*g, -g - v + 1759 = 4*w. What is the hundreds digit of w?
3
Let s(j) = 5*j - 11. Let u be s(4). Let f = u - -25. Suppose f = -4*x + 250. What is the units digit of x?
4
Let o = -77 + 74. Let h(m) = -18*m**3 - m**2 + 2*m - 10. What is the units digit of h(o)?
1
Let r(u) = -u**3 + 1. Let b(l) = -7*l**3 + 14*l**2 - l + 25. Let n(g) = b(g) - 6*r(g). Let y(c) = 8*c - 2. Let s be y(2). What is the units digit of n(s)?
5
Let g(x) = 7*x**3 - 31*x**2 - 17*x + 28. Let b(l) = 3*l**3 - 15*l**2 - 8*l + 14. Let a(f) = -5*b(f) + 2*g(f). What is the hundreds digit of a(9)?
3
Suppose -2*a - 12 = 62. Let c = 248 + a. What is the units digit of c?
1
Let t(h) = 507*h - 791. What is the hundreds digit of t(16)?
3
Let t(d) be the first derivative of d**2 - d - 1. Suppose -97*g = -53*g - 572. What is the tens digit of t(g)?
2
Suppose 2*l + 23 = 5*g, -2*g + 2*l + 0*l = -14. Let m be g*(2 + -2 + 1). What is the units digit of 3 - 2 - (m + -3 - 0)?
1
Let l(y) = 6*y - 11. Suppose -5*x + 83 = 18. Let q be l(x). Suppose q - 2 = j. What is the units digit of j?
5
Let b = 21799 + -13490. What is the thousands digit of b?
8
Let p be (-21)/(-12) + 6/(-8). Let d(f) = 463*f**2 + 4*f - 4. What is the hundreds digit of d(p)?
4
Let t be ((-70)/91)/(-5) + 102/13. What is the tens digit of 8/6*480/t?
8
Let a(u) = -3*u**2 - 2*u + 1. Let r be a(1). Let f(n) be the second derivative of n**4/12 - 2*n**3/3 - 11*n**2/2 - 38*n + 2. What is the units digit of f(r)?
1
Suppose -h - 2*h = -0*h - 29904. What is the hundreds digit of h?
9
Let f = 29555 + -19670. What is the tens digit of f?
8
Suppose -4*o + 18462 - 5478 = 0. What is the tens digit of o/10 + -6*(-10)/150?
2
Let o(b) = -6*b**3 + 22*b**2 + 18*b - 39. Let c(a) = a**3 + 2. Let v(y) = -5*c(y) - o(y). What is the tens digit of v(23)?
4
Let b be 3 + 3 + -3 + 1140. Let x = b - 685. What is the hundreds digit of x?
4
Let m = -17510 - -24908. What is the units digit of m?
8
Let m = 191 - 178. Let v(w) = 23*w - 70. What is the tens digit of v(m)?
2
Let a(r) = 4*r**2 - 56*r - 222. What is the units digit of a(-21)?
8
Suppose -9*b + 32*b - 63089 = 0. What is the units digit of b?
3
What is the units digit of ((-1*6)/(8/4) - 3) + 2355?
9
Let i(j) = -j**3 + 9*j**2 - 9*j + 6. Let p be i(8). Suppose -92 = -k - s, 0 = -s - 1 - 0. Let l = p + k. What is the tens digit of l?
9
Suppose 14 + 16 = 10*h. Suppose -39 = h*y - 123. What is the tens digit of y?
2
Let c = 181 + -205. What is the hundreds digit of (12 + 0)*(-354)/c?
1
What is the hundreds digit of 28 + -21 - (5 - 5398)?
4
Suppose a = -5*d + d + 7, 4*d = 2*a + 10. Suppose 0 = -d*t - 20 + 18. What is the units digit of (1304/(-80) + t/2)*-5?
4
Let m = -1461 - -2226. Suppose -3135 = -6*t - m. Suppose 5*u - t = -30. What is the units digit of u?
3
Let a = -1337 - -8955. What is the tens digit of a?
1
Suppose 0 = -14*b + 21*b - 36435. What is the hundreds digit of b?
2
Let c(o) be the first derivative of 103*o**3/3 + 6*o**2 + 22*o - 62. What is the tens digit of c(-2)?
1
Suppose -5*g + 3*i + 2284 = 0, -2*i - 13 = -7. What is the hundreds digit of g?
4
Let n = -85 - -97. Let i(c) = 2*c**2 - 6*c - 71. What is the hundreds digit of i(n)?
1
Let t(j) be the second derivative of -43*j**3/6 - 45*j**2 - 50*j + 2. What is the tens digit of t(-12)?
2
Suppose -19*q + 10253 = 677. Suppose 0*z - q = -7*z. What is the units digit of z?
2
Suppose 129*o = 5*m + 126*o - 19585, o + 11747 = 3*m. What is the hundreds digit of m?
9
Let w(c) = 70*c - 109. Let r be w(14). Let v = r + -550. What is the units digit of v?
1
Let i = 585 + -559. Let g be 282/4*(-2)/(-3). Let y = g - i. What is the units digit of y?
1
Let p(n) = 4*n**2 - 85*n + 31. What is the units digit of p(-16)?
5
Let p = -805 - -947. Suppose -2*f + 1012 = -0*k + 5*k, 4*f + 832 = 4*k. Let h = k - p. What is the tens digit of h?
6
Suppose 2*r = 2*p - 442, p - 227 = -3*r + 7*r. Let d = -106 + p. What is the tens digit of d?
1
Suppose -249*i + 245*i - 652 = 0. Let o = -105 - i. What is the units digit of o?
8
Let q(z) = 2*z**2 - 37*z - 22. Let h be q(19). Let c(l) = 4*l**2 + 5 + 1 - 2*l - 7 + 2. What is the tens digit of c(h)?
4
Suppose -19*r + 127864 - 45784 = 0. What is the units digit of r?
0
Let f(n) = n**3 + 8*n**2 - 21*n - 8. Let p be f(-10). Suppose 2*h = -3*h + 10. Suppose -b + 45 = -p*q, 5*b - 2*q - 213 = h*q. What is the units digit of b?
1
Let c(k) = 3*k**3 - 16*k**2 - 7*k - 3. What is the thousands digit of c(16)?
8
Let q = 438 + -254. Suppose -5*v + q = -v. Let y = 55 + v. What is the tens digit of y?
0
Let r = 24118 - 15055. What is the thousands digit of r?
9
Suppose g = -5*p + 3*g + 47693, 0 = -4*p + 4*g + 38152. What is the tens digit of p?
3
Suppose -3*p = -2*p. Suppose p*l - 375 = -5*l. Suppose -4*a = -4*y + 300, 2*a - l = -y + a. What is the tens digit of y?
7
Let j = -19 + 13. Let g(d) = 6*d**2 + 2*d - 17. Let k(p) = 7*p**2 + 2*p - 17. Let f(q) = j*g(q) + 5*k(q). What is the tens digit of f(0)?
1
Let d(o) = -5*o**3 - 3*o**2 + 1. Let l be d(-1). Suppose 3*n = 5*p - 34, -l*p - 2*n = 2*n - 3. Let w(x) = 17*x + 15. What is the tens digit of w(p)?
0
What is the hundreds digit of 2 + ((-2)/(-10) - (-116504)/80)*6?
7
Suppose 5*v = -4*v - 3537. Let t = v + 651. What is the hundreds digit of t?
2
Suppose 0 = d - 5*f - 19 - 3, 4*d - 58 = 5*f. Suppose 2*v + 2*v + d = 0. What is the tens digit of -27*v/6*(-4)/(-2)?
2
Let x be (5/(-2) + 2)/((-2)/10280). Let c be x/14 + -6*2/(-28). Suppose 2*g - 4*g = -3*z - c, 0 = 5*g + 3*z - 439. What is the units digit of g?
9
Let p(d) = -11 + 2 - 59 + 37*d + 18. What is the units digit of p(12)?
4
Suppose -a - 5*q + 19 = 0, -2 = a - 4*q + 6. Suppose 0 = 10*x - a*x - 1980. What is the units digit of x?
0
Let a(o) = 33*o - 59. Let s(b) = 16*b - 29. Let z(i) = -4*a(i) + 7*s(i). What is the hundreds digit of z(-5)?
1
Let c = 31 - 28. Suppose -221 - 61 = -c*i. Suppose -451 = -7*a - i. What is the units digit of a?
1
Suppose -3*d - 6 + 17 = -o, -4*o - 4 = -2*d. Let f(g) = 27*g**2 - 8*g - 13. What is the hundreds digit of f(d)?
3
Suppose -343 = 12*y - 596 - 1151. What is the units digit of y?
7
What is the tens digit of ((-112)/6)/(-4) + 13/39 + 5535?
4
Suppose 0 = -2*n - 5*w + 16279, -5*w - 17068 = -5*n + 23612. What is the tens digit of n?
3
Suppose 4*v = 11*v - 693. Suppose 145 = 5*u + 2*l, 2*u = -2*u - 5*l + v. What is the tens digit of u?
3
Suppose -2*o = -5*c - 171 + 7796, 2*o + 1525 = c. What is the units digit of c?
5
Suppose -5*v = -5*m + 3470, -3464 = -5*m + 2*v - 0*v. Let n = -312 + m. What is the tens digit of n?
8
Let a(c) = -406*c - 596. What is the tens digit of a(-13)?
8
Let i = -63 + 134. Suppose 7*s - 363 = i. What is the units digit of s?
2
Suppose -184531 = 5*d - 132*d. What is the units digit of d?
3
Suppose 21*h - 22*h + 5*q + 6487 = 0, -3*h - q = -19445. What is the units digit of h?
2
Suppose 4*j + 50 = -5*y, -11 = j + 2*y - 0*y. Let f be (-10)/j*(-2 - -8). Suppose -4 = -f*w + 3*w. What is the units digit of w?
4
Suppose -5*w + 5*t + 94 = -81, -2*t + 6 = 0. Suppose -w*f - 1176 = -46*f. What is the units digit of f?
7
What is the units digit of 12140/2*(-7 + (-170)/(-20))?
5
What is the units digit of ((-75)/(-50))/(15/74830)?
3
Suppose 0 = -273*o + 245*o + 48104. What is the hundreds digit of o?
7
Let k = -186 + 492. What is the hundreds digit of k + (-4 - (-1 + 1))?
3
Suppose 96*v + 1 = 95*v. What is the units digit of v*32/40 + 2324/5?
4
Suppose 2*d = -2*d - 5*h + 54, 70 = 4*d - 3*h. What is the tens digit of d/(-24)*-3*66?
3
Let w(n) = 16*n - 49. Let y be (-17)/(-2) - ((-18)/(-4))/3. What is the units digit of w(y)?
3
Let u = -3293 - -8999. What is the thousands digit of u?
5
Let t(m) = 6*m - 650 + 320 + 311. Suppose 4*r = 1 + 27. What is the tens digit of t(r)?
2
What is the units digit of 11 - (-1 - (9607 - 12))?
7
Suppose -6*t + 118 = -t - k, 4*t - 5*k - 107 = 0. Let s = t - -3. What is the tens digit of (-4 - (-3 - s))*3/5?
1
What is the thousands digit of 66645/3*4*2/48*2?
7
Suppose 5*q = 15, 3*q + 58 + 318 = -5*p. Suppose 2*f + 218 = -2*o, 2*o + 4*f = 122 - 330. Let h = p - o. What is the tens digit of h?
3
What is the units digit of (-6)/75 + (-647816)/(-200)?
9
Let f(u) = u + 637. Let s be f(0). Suppose s = 16*a - 83. What is the units digit of a?
5
Let y = 639 - 247. Suppose -w - 6*v + v + 196 = 0, 2*w - y = 2*v. What is the tens digit of w?
9
Let r(b) = -341*b - 602. What is the thousands digit of r(-7)?
1
Let c = -13789 - -21346. What is the tens digit of c?
5
Let j(f) = -4*f - f - f - 7*f - 1. Let k be j(-2). Suppose k = u + w, u = 2*u + 4*w - 25. What is the tens digit of u?
2
Let m be 20/(-25)*1*5/(-2). Suppose -5*r - o = -15, -r = m*o - 4*o - 3. What is the units digit of (114/r)/((-1 - 2) + 4)?
8
Suppose -d - 3*j + 16 = 0, -5*j + 14 = d - 3*j. What is the units digit of 11/(15/(-90) + 2/d)?
0
Let y be (6/4)/((-78)/(-208)). What is the hundreds digit of (2 - -3)*y/10 + 237?
2
Let j be (-4)/22 + (-7)/(308/(-492)). Let n = j + 0. What is the tens digit of n?
1
Let l = 8664 - 2020. What is the tens digit of l?
4
Suppose 42*k - 126451 = 178049. What is the thousands digit of k?
7
Let s be -2 + -11 - -2 - (2 - 7). Let v(y) = -y + y**2 - 3*y + 2 + y. What is the units digit of v(s)?
6
Suppose v - 2239 = -5*n + 9*n, 2*v + 2 = 0. Let w = n + 926. What is the tens digit of w?
6
Suppose -4*l + 515 = -209. Let h = l - 108. Suppose 5*t + 2*y - 319 = 0, 2*t - h = t - 5*y. What is the tens digit of t?
6
Let k(x) = x**3 + 8*x**2 + 6*x - 3. Let u be k(-7). Suppose 2*y + 2 = 4*p, -u*y + 0*y + 5*p = -5. Suppose 85 = y*r + 20. What is the units digit of r?
3
Let a = -1236 - -2178. Let s = a + -584. What is the hundreds digit of s?
3
Let z(o) be the second derivative of 3*o**4/4 + 2*o**3/3 + 29*o**2/2 + o + 5. What is the tens digit of z(6)?
7
Let r(o) = -20*o**3 - o**2 + o + 2. Let l(z) be the second derivative of -z**4/12 + z**3/3 - z**2/2 + 12*z. Let m be l(0). What is the units digit of r(m)?
0
Suppose -3 = -5*r - 4*h + 1, -3*h - 12 = 0. Let a be r/(-10) - 187/(-55). Suppose i - 3*i + 102 = -2*b, a*b = i - 49. What is the units digit of i?
2
Let n(a) be the third derivative of 7/4*a**4 + 0*a + 0 - 7/6*a**3 + a**2. What is the units digit of n(2)?
7
Let a = -22 - -23. Let b be (1 - -3)*(a - -1). What is the units digit of ((-30)/24)/((-1)/b)?
0
Let o = 207 + -374. Let g = o - -265. What is the tens digit of g?
9
Let l be -6 - (2 - 10/5). Let b(n) = 9*n**2 - 4*n - 14. What is the tens digit of b(l)?
3
Let b(t) = 4*t**2 + 36*t - 784. What is the units digit of b(47)?
4
Let p be 41/5 - (-1)/(-5). Suppose p*u + 4*u - 276 = 0. What is the tens digit of u?
2
Let h(b) = 52*b**3 - b**2 + 1. Suppose -108 = w - 4*w. Let p be (-2)/(-11) - (-4)/(176/w). What is the units digit of h(p)?
2
Suppose -5*y - 25869 = 2*b - 66805, -y - 5*b = -8178. What is the hundreds digit of y?
1
Let o(n) = 1. Let h(i) = 2*i - 54. Let y(w) = -h(w) + 3*o(w). What is the tens digit of y(-13)?
8
Let k(r) be the first derivative of r**4/2 - 2*r**3 - 3*r**2 + 10*r - 1. Let p(o) = 2*o**2 + 6*o - 15. Let f be p(-5). What is the units digit of k(f)?
0
Let t = -2447 - -3110. What is the tens digit of t?
6
Let x(p) = -4*p - 45. Let n be x(-13). Suppose -n*b + 6*b - 3*s + 471 = 0, 2*b + 5*s - 940 = 0. What is the hundreds digit of b?
4
What is the tens digit of ((-11)/33)/((-2)/4*23/241431)?
9
Let d(r) = 12*r**3 - r**2 - 2*r + 2. Let z be d(2). Suppose -5*v = -4*q - 27, -4*q = v - 0*q - 15. Suppose -v*g - z = -8*g. What is the tens digit of g?
9
Suppose 0 = 3*w + 25 - 1. Let z(b) = 17 - 1 - 10*b - 14. What is the tens digit of z(w)?
8
Suppose -2*s + 14 = 4, -2*s + 6 = r. Let h(o) = 26*o**2 - 5*o + 1. What is the tens digit of h(r)?
3
Let s(l) = 2*l**3 - 26*l**2 - 22*l + 32. Suppose -5*x - 3*p = -64, 5*x - 2*p - 78 = 2*p. What is the hundreds digit of s(x)?
1
Let q = 13139 - 4958. What is the hundreds digit of q?
1
Let w(j) be the third derivative of j**5/30 + 49*j**4/24 - 11*j**3/2 + 70*j**2. What is the hundreds digit of w(-31)?
3
Suppose -890 = 3*u + 2*i - 0*i, 5*u - i + 1505 = 0. What is the tens digit of (-40)/u - (-3)/((-45)/(-6448))?
3
What is the units digit of (-20)/(-60)*3804*2?
6
Let x be (5 + -2 + 2)*(-6)/(-15). Let v(z) = 27 - 173*z**2 + 173*z**x + z**3. What is the units digit of v(0)?
7
Let p(m) = -m**2 - 3*m + 10. Let w be p(-6). Let k be 8/6 - w/3. What is the units digit of k/1*(-3)/(-2)?
6
Let k = -1821 - -5271. What is the tens digit of k?
5
What is the units digit of 1550/(-8)*(-22 - 3 - -13)?
5
Suppose 0*m = 4*m. Let b = -866 + 866. Suppose -q + m*q - 3*p + 90 = b, 5*p - 100 = -q. What is the tens digit of q?
7
Suppose -25*d = -30*d - 50. What is the tens digit of 16724/40 + 1/d?
1
Let w(u) = u**2 + 20*u - 41. Let x be w(-22). Let o(g) = 8*g**3 - 5*g**2 + 11*g - 5. What is the units digit of o(x)?
9
Let k(p) = 23 - 6*p - 4 + 2. Let z = -1093 + 1085. What is the units digit of k(z)?
9
Suppose 62*k + 7467 = 239905. What is the tens digit of k?
4
Let q be 9/(-9) + 10*1. Suppose 492 = -q*o + 6*o. Let w = -85 - o. What is the units digit of w?
9
Suppose l + 3*h - 47 = 0, -5*l - 63 = -4*h - 317. Let n = -45 + l. What is the tens digit of 17*(-4)/(-10)*n?
3
Let j be 52/(1 + (-4)/(12/(-3))). Let u = -23 + j. Suppose -2*s - 94 = -3*s + m, 281 = u*s - 4*m. What is the tens digit of s?
9
Let n(d) = 115*d**2 + 3*d - 8. Suppose -4*r + 4*c + 16 = 0, -4*r + 9 = -3*c - 5. What is the tens digit of n(r)?
5
Let j(w) = -6*w**2 - 2. Let i(r) = 4*r**2 + r + 3. Let t(d) = -4*i(d) - 3*j(d). What is the units digit of t(8)?
0
Let u(n) = 128*n**2 - 12*n - 21. Let w be u(-4). Suppose 6*j - j - w = 0. What is the units digit of j?
5
Let o = 15 - 23. Let s = 124 + -89. Let i = s + o. What is the units digit of i?
7
Let c = 4969 + -4802. What is the hundreds digit of c?
1
Let p(t) = -26*t**2 + 1. Let v be p(1). Let m = 23 + v. What is the units digit of 4 + m/((-2)/35)?
9
Suppose -4*l - 7118 = -3*s, -3*l = 5*s - 2*l - 11848. What is the hundreds digit of s?
3
What is the hundreds digit of -14*(-20)/35 + 4988?
9
Suppose -2*r + 4*c - 8 = 0, r - 2*r + c - 3 = 0. Let s be -1 + ((-7 - r) + 3 - -13). Suppose s*a - 149 = 181. What is the units digit of a?
3
Suppose -166704 = 45*k - 69*k. What is the units digit of k?
6
What is the thousands digit of (-5729 - 26)/(-2 - 2 - -3)?
5
What is the hundreds digit of 4/7 + (-3886)/406 + 9923?
9
Let c = -1120 + 8579. What is the units digit of c?
9
Let a(g) = 7*g - 2. Let y be a(4). Let f = 31 - y. Suppose 574 - 204 = f*m. What is the units digit of m?
4
Suppose -8*j - 254 + 134 = 0. What is the units digit of -842*(-1)/((-5)/(j/6))?
1
Let h(l) = 3*l**2 + 30*l - 4. Let w be h(-10). What is the hundreds digit of w/((-8)/(-21))*(-138)/9?
1
Let i = 87 + -70. Suppose -156 = -i*v + 11*v. What is the units digit of v?
6
Let g = 85 + 121. Let t = 149 + g. What is the units digit of t?
5
Let r = 20154 + -10454. What is the thousands digit of r?
9
Suppose -16*j + 3*a - 14468 = -18*j, -2*a = 2*j - 14472. What is the units digit of j?
0
Let j = 2 - -9. Let s(n) = -n**2 + 9*n + 27. Let g be s(j). Suppose -2*r - 134 = -g*r - 5*d, -44 = -r - d. What is the tens digit of r?
4
Suppose 30*r + 462920 = 114*r + 29144. What is the hundreds digit of r?
1
Let g = 5324 + 4208. What is the hundreds digit of g?
5
Let o = 122 + -120. Suppose 10*m - 6*m - 3*u = 608, 304 = o*m - 4*u. What is the tens digit of m?
5
Suppose 94 - 12 = -o - 5*d, -3*d = -5*o - 270. Let r(g) = 3*g**2 + 5*g - 4. Let j be r(5). Let q = o + j. What is the units digit of q?
9
Let p(k) = k**3 + 15*k**2 + 15*k + 14. Let j be p(-14). Suppose 8 = 2*u - 5*i, 4*u - 16 = -j*i - i. Suppose u*l - 6*l + 136 = 0. What is the tens digit of l?
6
Let s = -90 + 89. What is the tens digit of (27*9/135)/(s/(-55))?
9
What is the hundreds digit of (-79299)/(-8) - 606/1616?
9
Let j(m) = 3*m + 11 + 0 + m + 4. Let k be j(-6). What is the units digit of 2/9 - 115/k?
3
Let w(k) = -3*k**2 + 15*k + 19. Let o be w(-6). Suppose -2*g = 5*c - g - 1400, -1400 = -5*c + 2*g. Let y = c + o. What is the hundreds digit of y?
1
What is the tens digit of 1000/(-60)*25*12*(-24)/20?
0
Let j = -3114 - -4473. What is the hundreds digit of j?
3
Suppose 2*m + 4*z = -180, z + 438 = -5*m - 3*z. What is the units digit of 2 - 0/(-5) - m?
8
Suppose 6*d - 2*l = 3*d + 146, 3*d + 3*l - 126 = 0. What is the units digit of d*(1 - -9) - (-3)/1?
3
Suppose 8*l = 7*l + 4. Suppose -116 = -2*g + l*j, -13*j + 58 = g - 12*j. What is the tens digit of g?
5
Let k be -3 + 5 + -3 - -5. Suppose 2*m + 3*p - 20 = -2*m, 3*m = -k*p + 22. Suppose -m*a - 2*a = -z + 50, 4*z = 2*a + 214. What is the tens digit of z?
5
Let q(b) = -b**3 + 27*b**2 - 146*b. What is the hundreds digit of q(13)?
4
Let f(b) = 5*b**2 + 12*b - 21. What is the units digit of f(-7)?
0
Let w = -475 + 714. What is the hundreds digit of w?
2
What is the thousands digit of (-4 + (-53400)/16)*(3 - 5)?
6
Suppose -10*a + 10461 - 3491 + 17680 = 0. What is the units digit of a?
5
Let d(i) = -50*i**3 - 2*i**2 - 1. Let j be d(-2). Let b = j + -129. What is the units digit of b?
2
Let m = -703 + 1256. Let h = m - 223. What is the hundreds digit of h?
3
Let l be 25/(-15) - 3/9. What is the tens digit of (48/(-27) - l) + (-1884)/(-27)?
7
Suppose 0 = -3*a + 9, -3*o + 0*a - 3*a = -16644. What is the thousands digit of o?
5
Let c(z) = 2*z - 1. Let l be c(6). Let y(m) = -m**3 + 10*m**2 + 14*m + 3. Let p be y(l). Let t = 97 - p. What is the units digit of t?
1
Suppose -12*x + 2*x + 20 = 0. Suppose 425 = -5*o + 9*o + b, x*o - 195 = 3*b. What is the units digit of o?
5
Let a(m) = 400*m**2 - 2*m + 10. What is the ten thousands digit of a(5)?
1
Suppose -7700 + 7266 = -30*k + 82066. What is the tens digit of k?
5
Suppose -4*l + 7813 = -199*a + 200*a, -5*l = 5. What is the units digit of a?
7
Let p = 3465 + 5651. What is the hundreds digit of p?
1
Suppose -2*k - 3*d - 20 = 0, 1 + 2 = k - 5*d. Let q = -3 - k. What is the tens digit of 6*((-9)/(-1) - q)?
3
Let w be ((-81)/(-12))/((-1)/4). Let f = 181 + w. Suppose -2*g + f = -0*g. What is the tens digit of g?
7
Let a(k) = -5*k**3 - 3*k**2 - 3*k + 3. Let z be a(-2). Suppose 33*q + 604 = z*q. What is the tens digit of q?
5
Suppose -5*u = 2*v - 58, 6*v - u = v + 91. Suppose 0 = -17*z + v*z - 56. Suppose -26*i + z*i = 74. What is the tens digit of i?
3
Suppose 0 = -z + 2*z + h - 106, -2*h + 545 = 5*z. Suppose -r = r + 5*u - z, u + 66 = r. What is the units digit of r?
3
Suppose 0 = 4*n + 5*w + 2, -3*w - 5 = 2*n - 3. Suppose -r + 287 = -y, -4*y + 479 + 101 = n*r. What is the hundreds digit of r?
2
What is the units digit of 897/(-69) - (2 + -6968)?
3
Let g(m) = -4*m**3 - 14*m**2 - 28*m - 136. What is the tens digit of g(-12)?
9
Let c(t) = -t**3 + 10*t**2 - 19*t + 4. Let r be c(6). Suppose -27*j = -r*j + 301. What is the units digit of j?
3
Suppose 10*v = -0*v. Suppose v = 2*y - 5*d - 83, -28 = -y - 0*y - 2*d. Suppose b - y = 28. What is the units digit of b?
2
Let a(c) = -44*c**2 - 8. Let s(l) = -l**2 + 1. Let i(b) = -a(b) - 3*s(b). What is the hundreds digit of i(3)?
4
Let w be (-9 + 3)*(2/(-3) - -2). What is the hundreds digit of 16*(-27)/(-3)*w/(-6)?
1
Let g(x) = -41 + 2*x**2 + 19 + 0*x**2 + x - x**2 + 16. Suppose 4*o - t = 28, -3*o - 3*t - 4 = -40. What is the tens digit of g(o)?
6
Let z = 9616 + -6552. What is the tens digit of z?
6
Let z(k) = -3*k**3 + 17*k**2 - 31*k - 521. What is the units digit of z(-11)?
0
Let y be ((5 + -5)/(-6))/1. Suppose -v + 5*m + 146 = -y*v, 4*m - 495 = -3*v. What is the tens digit of v?
6
Let l(h) = h**3 - 6*h**2 + 6*h + 4. Let o be l(6). Let g = o - 26. Suppose -366 = -5*i + g. What is the units digit of i?
6
Suppose -5*i = 20, 7168 = l - 0*l + i. What is the units digit of l?
2
Let a(s) = 123*s**3 - 17*s**2 + 28*s + 7. What is the tens digit of a(4)?
1
Suppose 112 = -4*x + j, -9 = 4*j + 7. Let i = 49 + x. Suppose 0 = -16*o + i*o - 296. What is the units digit of o?
4
Let z(d) = d + 12. Let w(m) = 4*m + 39. Let n(g) = -2*g - 19. Let p(x) = 7*n(x) + 4*w(x). Let f(l) = 3*p(l) - 5*z(l). What is the tens digit of f(5)?
1
Let b = 5403 + -2669. What is the hundreds digit of b?
7
Let c(b) = -4*b + 50. Let d be c(11). Suppose -3*j = 3*q - 186, -2*q + 256 = 4*j - d*q. What is the units digit of j?
3
Let u(y) = -5*y - 30 - 9*y + 3*y**2 - 11*y + 12*y. What is the hundreds digit of u(13)?
3
Let l(i) be the first derivative of 2/3*i**3 - 5/2*i**2 - 3*i - 6. What is the tens digit of l(-4)?
4
Suppose -g + 0 = -12. Suppose g = 11*b - 7*b. Suppose 88 = 5*y - b*y. What is the tens digit of y?
4
Let y(f) = -f**3 + 8*f**2 - 8*f - 1. Let i be y(6). Let x(c) = c**2 - 13*c + 24. Let l be x(5). Let n = l + i. What is the units digit of n?
7
Let b = -1 + 3. Let z be -2 + (2 - 2) + 4 - -50. Suppose 94 = b*i - z. What is the tens digit of i?
7
Let s be 3/2*(58/(-6) + 5). What is the tens digit of (s/4)/(470/80 - 6)?
1
Suppose -6*u + 5*u = -190. Suppose 135 = 5*l - u. Suppose -60 = -v + 5*p, -2*v + 3*p + 83 = -l. What is the units digit of v?
0
Let f = 13517 + -4306. What is the hundreds digit of f?
2
Let r(b) = 12*b**2 - 20*b + 55. Let u be r(3). Suppose 4*p - u = 1609. What is the units digit of p?
8
Let m = -3393 + 6263. Suppose -6*n = -m + 344. Suppose 0 = 5*c - n + 111. What is the tens digit of c?
6
Let b be ((-26)/(-3))/(6/666). Suppose -q - 5*d = -4*q + b, 3*q - 953 = -4*d. What is the units digit of q?
9
Suppose 6 = 4*f - 10, -660 = -4*c - 2*f. Suppose -c = 4*a - 43. Let z = a - -34. What is the units digit of z?
4
What is the units digit of (-199692)/(-129)*(5 + 1)?
8
Let p be 0 - 0 - -2*10. Suppose p*i - 24 = 16*i. Suppose -5*t = -i*t + 74. What is the tens digit of t?
7
Let b = 991 + -635. What is the units digit of b?
6
Let z = 4668 + -3397. What is the hundreds digit of z?
2
Suppose -x = -4 + 2. Suppose 172 + 128 = 4*z - x*k, 5*k = -2*z + 174. Suppose -2*s = -z - 85. What is the tens digit of s?
8
Let w = 15 + -11. Suppose w*u + 74 + 270 = 0. Let k = u - -179. What is the units digit of k?
3
Suppose 27 = 5*g + i, 5*i + 0 - 9 = -4*g. Suppose g*h + 0*h = 1596. What is the units digit of h?
6
Let r(l) be the first derivative of -5*l**4/2 - l**3/3 - l**2/2 + 2. Suppose -2*k + 12 - 14 = 0. What is the tens digit of r(k)?
1
Suppose 36*j - 35*j - 4 = 0. Suppose r = -2*t - 24 - 14, 4*t = -j*r - 68. What is the tens digit of 24/(-4)*-6*t/(-12)?
6
Let a = 12519 - 7161. What is the thousands digit of a?
5
Suppose 2*n = 4*f + 66, -11 = 2*n + 2*f - 77. Let j = -33 + 29. Let i = n + j. What is the tens digit of i?
2
Let k be 1/(-12) + 116071/228. Let z = k - 254. What is the units digit of z?
5
Suppose -4*u + 8861 = -5*i, -3911 = -4*u - 5*i + 4980. What is the tens digit of u?
1
Suppose 4*r = -2*b + 132, 117 + 25 = 4*r - 3*b. Let d = r + -21. Suppose -d*g = -3*g - 850. What is the tens digit of g?
8
Suppose 0 = 4*b + 4*v - 16, -12 = 4*b - 5*v + 8. Suppose b = -0*k - 3*k + 837. What is the tens digit of k?
7
Suppose -210*p + 58203 = -181*p. What is the tens digit of p?
0
Let m = -12 + 27. Suppose -m + 45 = -3*y. What is the units digit of y/5*(-49 + 1)?
6
Suppose -4*s + 8 = -8. Suppose -r + 2*h = -148, -2*r - h = -s*h - 301. Suppose -l + 190 = 3*z + 3*l, -3*z + r = -4*l. What is the tens digit of z?
5
Suppose 0 = 3*m - 2*i - 12 - 24, -2*m + 2*i + 22 = 0. Let v(u) = -2*u - 12 - 5*u - 3*u + 0*u + u**2. What is the units digit of v(m)?
4
Suppose -12*m = -7*m + 2*f - 39, 4*m = 5*f + 51. Let p(a) = 3*a - 4. Let s(l) = -3*l + 5. Let g(w) = 4*p(w) + 3*s(w). What is the tens digit of g(m)?
2
What is the thousands digit of ((-4)/1)/(7142/16681 - 21/49)?
9
Let x = 8600 + -2452. What is the hundreds digit of x?
1
Let i(o) = 2*o - 20. Let f be i(12). What is the units digit of (689 - -7)*(1 + f/(-8))?
8
Let p = 141 + -136. Suppose 0 = -10*u + 12*u + p*q - 67, 5*u - 181 = q. What is the units digit of u?
6
Let z(s) = -10*s - 4. Let q be z(-7). Let x be q - ((4 - 1) + -4). Suppose -x - 68 = -5*o. What is the tens digit of o?
2
Suppose h + 3*x + 2195 - 6669 = 0, 5*h - 22334 = 3*x. What is the tens digit of h?
6
Let f(m) = 5*m - 35. Let c be f(7). Suppose -2*p + 3*w + 179 = c, 4*p = 5*p - 4*w - 92. What is the units digit of p?
8
Suppose -5396 = -4*r - 3*k, 2*r + 4*k - k = 2692. Suppose 11*w - r = 3*w. Suppose -5*j + 31 + w = 0. What is the tens digit of j?
4
Let k = 8 + -4. Suppose 729 = k*c - 5*t, 2*c - 7*c - 3*t = -939. What is the tens digit of c?
8
Suppose 710 = -9*y - 226. Let m = y + 304. What is the hundreds digit of m?
2
Let q(g) = 44*g**2 - 11*g + 26. Let d be -4*((-27)/(-12) - 3). What is the hundreds digit of q(d)?
3
Let a(q) = 520*q + 2172. What is the tens digit of a(15)?
7
Suppose s = -3*s - 2*w + 890, 1325 = 6*s + w. What is the hundreds digit of s?
2
Suppose -o + 3*x + 19 = 0, 0 = -5*x - 4 - 16. Let j(k) = -k**3 + 9*k**2 - 6*k + 6. Let i be j(o). Suppose -4*c + 2*c = -i. What is the units digit of c?
1
Let j be 6/7*(-2 - (2 + -102)). Let a = 176 - j. What is the tens digit of a?
9
Let a(f) be the third derivative of f**6/120 - f**5/15 - 2*f**4/3 + 61*f**3/6 + 4*f**2. What is the tens digit of a(8)?
8
Suppose -x - x = -2*z - 30, 3*x + 4*z - 10 = 0. Suppose 4*p + 5*q = p - x, 2*q = -3*p - 4. Suppose -3 = -i - p. What is the units digit of i?
3
Suppose 2647 = 2*g + 5*n, 0 = -2*g + 5*n + 3866 - 1189. Suppose 0 = -4*p + g - 155. What is the hundreds digit of p?
2
Let z be (-6)/(-16)*(-5 + 13). Suppose 3*t + x = 6*x + 883, -z*t + 875 = -x. What is the hundreds digit of t?
2
Suppose 12*l + 4 = 16*l. Let z be (-5)/(-5) + l + -29. Let k = z + 84. What is the tens digit of k?
5
Let a = 447 + -107. Let o be (2 + a/(-12))*9. Let u = -155 - o. What is the units digit of u?
2
Suppose -14*x = -7*x - 61327. What is the tens digit of x?
6
What is the units digit of ((-14)/(-42))/((-1)/(-3)*3/27231)?
7
Suppose -176*v - 937 = -186*v + 20273. What is the tens digit of v?
2
Suppose 17*o - 1464 = 14*o + 3*v, -2*v = 10. What is the hundreds digit of o?
4
Let g(b) be the second derivative of 7*b**3/6 + 17*b**2 + b. What is the units digit of g(-3)?
3
Suppose -3*q + 3*u - 140 = -3209, 3*q - 3085 = -5*u. What is the thousands digit of q?
1
Let b be (-1 - 7) + 0 - 9/(-3). What is the hundreds digit of (-1426)/b + (-12)/(-15)?
2
Let q = -969 - -7406. What is the tens digit of q?
3
What is the tens digit of (-1)/(((-30576)/(-30568) - 1)/((-2)/2))?
2
Let w = -1094 - -2323. What is the tens digit of w?
2
Suppose 16*f - 15*f - 1399 = 0. Suppose 3*i = 4*h + f, i + 2*h - 133 - 320 = 0. What is the hundreds digit of i?
4
Suppose -4991*w + 5004*w - 1417 = 0. What is the hundreds digit of w?
1
Let p(q) = q**2 - 14*q + 26. Let h be p(11). Let a be (-4)/14 - ((-5)/h - 3). What is the units digit of a/(-4)*-2 - (0 + -98)?
9
Let l(t) = 39*t + 13. Let p(v) = -20*v - 6. Let q(h) = 2*l(h) + 5*p(h). Let j be ((-2)/(0 - -2))/(3/6). What is the units digit of q(j)?
0
Suppose 2*f = z - 11805 + 2476, 0 = 5*f - 15. What is the tens digit of z?
3
Suppose -3*f + 2*q + 142 = f, 0 = f - 2*q - 34. Suppose 0 = -u - u - o + f, 2*u - 2*o - 48 = 0. What is the units digit of u?
0
Suppose -c = 11*c - 22488. Suppose 8*b - c = -50. What is the units digit of b?
8
Let x(v) = -2. Let c(y) = -5*y - 27. Let t(m) = 2*c(m) - 14*x(m). What is the tens digit of t(-14)?
1
Let o = -44 + 50. Suppose -2*g + 6*g + o = 3*f, -3 = -g + 3*f. What is the tens digit of 2 - (-28 + 12/g)?
3
Let b be (2/10*-28)/((-14)/(-175)). Let t be (-400)/b + (-4)/(-14). Suppose 2*y + 47 = 5*s, -y - 1 = -s + t. What is the units digit of s?
1
Suppose 2 = -2*j, 5*j - 6854 = 8*q - 9*q. What is the tens digit of q?
5
Suppose -j + 45 = 13*k - 12*k, -k = 4*j - 33. What is the tens digit of k?
4
Let b = -119 + 121. What is the units digit of (-13524)/(-38) + b/19?
6
Let c(m) = m**3 - 77*m**2 - 66*m - 243. What is the hundreds digit of c(78)?
6
What is the units digit of 2*(60/80)/((-1)/(-2)) + 8420?
3
Let v(g) = 2*g**3 - 12*g**2 + 14*g - 8. Let i be v(5). What is the units digit of 12/i - 333/(-3)?
2
What is the tens digit of 37 + -29 + (-2 - -6498)?
0
Suppose 2*m = 5*m - 117. Suppose -37*x = -m*x + 880. What is the units digit of x?
0
Let w(k) = 19*k**2 - 9*k - 1. Let t be w(-7). Suppose -v - 4*v - 3*g = -1238, 4*v = -5*g + t. What is the units digit of v?
7
Suppose -4*c + 8 = 0, -5*z = -0*z - 4*c + 8. Suppose v - 2*v - 2*g = -57, g = z. Let b = v + -43. What is the units digit of b?
4
Let v = -111 + -75. Let x = -126 - v. What is the tens digit of x?
6
Suppose 5193 = 3*h - 3*y, y = 67*h - 65*h - 3458. What is the hundreds digit of h?
7
Let a(w) be the second derivative of w**3/2 + 23*w**2/2 + 13*w. Let y be a(-11). What is the units digit of (((-36)/(-10))/(-3))/(y/25)?
3
What is the thousands digit of (9/(-6))/((-4)/13016)?
4
What is the hundreds digit of (8 + -16 - (-6280)/6)/(1/3)?
1
Suppose -6*z + 1146 = -13722. Suppose -z = -10*a - 238. What is the tens digit of a?
2
Let f(g) = -g**3 + 21*g**2 + 11*g + 72. Let l be f(21). Suppose l = 2*y - 87. What is the tens digit of y?
9
Let v be (-4 + -5 - -12) + 1 + -2. Suppose -v*x - 11*x = -1144. What is the units digit of x?
8
What is the hundreds digit of 1193904/180 - (-4)/(-5)?
6
Suppose -3*p + 13*p - 7940 = 0. What is the tens digit of (-4)/(-6) + p/6?
3
Suppose -s - 4*s = -s. Suppose s = -k - 2*z - 4, 0 = 3*k + z + 7 + 15. What is the tens digit of (-28)/(-3)*(-36)/k?
4
Let l = 5 - 3. Let y be -12*3/12*l. What is the tens digit of (200/y)/(5 - (-64)/(-12))?
0
Let i(l) = -l**2 - 9*l - 3. Let f be i(-8). Suppose -3*s - r = -103, -8*s + 91 = -f*s - 2*r. What is the tens digit of s?
3
Let y(p) = 3*p**3 + 12*p**2 - 37*p - 41. What is the tens digit of y(11)?
9
Let x be -1 - -13 - (3 - -3). Suppose -x*f = -440 - 1486. What is the hundreds digit of f?
3
Let s = -93 - -103. Suppose 14*g - 1428 = s*g. What is the tens digit of g?
5
Let n(y) = -11*y + 73 + 88 - 193 + 92. What is the units digit of n(-4)?
4
What is the tens digit of 132 + -124 + 7451/1 + 1?
6
Let d(g) = g**3 + 20*g**2 - 21*g + 8. Let y be d(-21). Suppose y*l = 2*l + 1008. What is the tens digit of l?
6
Suppose -3 = -8*f + 13. Suppose 2*a - f*q - 56 = 0, 2*a - 38 = -4*q + 24. What is the units digit of a?
9
Let n(m) be the first derivative of m**3/3 - 8*m**2 - 62*m - 21. What is the hundreds digit of n(-10)?
1
Suppose -15*u + u = 0. What is the tens digit of (-126)/(-84)*((-628)/(-6) + u)?
5
What is the tens digit of (0 - (-4 + (-47451)/6)) + (-90)/(-36)?
1
Suppose r = -3*r + 312. Suppose 3*m - 5*c + 146 = 0, 9*c + 81 = -m + 11. Let t = m + r. What is the units digit of t?
6
Let c = 2792 - -15. What is the units digit of c?
7
Suppose 0*a - 5*a = 13*a - 110916. What is the units digit of a?
2
Let a(k) = 3*k + 39. Let g be a(-13). Suppose g = x - 42 - 93. What is the tens digit of x?
3
Suppose -5*t + r + 92 = 2*r, 5*r - 80 = -5*t. Let q = -23 + t. What is the units digit of 0 + q + (74 - -2)?
2
Let d be 24/(-108) - (-58)/18. Suppose 0 = q + d*w - 3, q - 14 = 4*w + 10. Suppose -q*a + 7*a + 465 = 0. What is the units digit of a?
3
Let n = -129 - -128. What is the units digit of (127/2)/n*(0 + -2)?
7
Suppose 130789 = 27*n - 62045. What is the thousands digit of n?
7
What is the units digit of (-1 - (36410/(-16) + -1)) + (-126)/(-336)?
6
Let o = 244 - -3. Let n = o + -61. What is the tens digit of n?
8
Let j(y) = y - 17. Let s be j(8). Let p(o) = o**3 + 7*o**2 - 16*o + 22. What is the units digit of p(s)?
4
Suppose 12*l + 20060 = 77888. What is the hundreds digit of l?
8
Suppose 128*m - 13630 = -3*p + 129*m, 4*p - 18168 = -4*m. What is the hundreds digit of p?
5
What is the hundreds digit of 10 + (-9)/((-18)/8098)?
0
Let i = -126 + 126. Suppose -3*h - 2*h + 3*w = -331, 5*w - 15 = i. What is the tens digit of h?
6
Suppose o - f = -5*f + 5, o - f = 0. Suppose -2*n + 1 = -5*z - o, -n + 2 = -3*z. What is the tens digit of (12/(-10))/z - 112/(-5)?
2
Let l(b) = 48*b**2 - 25*b + 51. What is the tens digit of l(8)?
2
Let b = -422 - -676. Let j = b + 114. What is the hundreds digit of j?
3
Suppose 0 = 3*c + 11*c - 42. Let y(i) = 18*i**3 - 6*i**2 + 4*i + 5. What is the tens digit of y(c)?
4
Suppose 2*v - 3 - 13 = -2*b, -4*b = -16. Suppose 5*u + 90 = -4*a + 636, -v*a - 4 = 0. What is the units digit of u?
0
Let b = 5761 - 766. What is the thousands digit of b?
4
Let d(q) = -2*q**3 - 30*q**2 - 37*q + 40. What is the hundreds digit of d(-21)?
1
Suppose 0 = 7*f - 52 - 46. Let j be (-5028)/(-84) + -1 + 16/f. What is the tens digit of ((-1)/3)/((-2)/j)?
1
Suppose 30 = -11*f + 21*f. What is the tens digit of f/(-6) - (-7395)/34?
1
Let d = 87 + -58. Let o = -8 + d. Suppose 0 = -2*z + 53 + o. What is the tens digit of z?
3
Suppose f - 2 = 4*k + 4, 2*k + 5*f + 14 = 0. Let n(g) = 76*g**2 - 3*g - 10. What is the tens digit of n(k)?
0
Suppose 5*z = 4*w - 324, -4*z + 135 = 3*w - 108. Let u = 328 - w. What is the hundreds digit of u?
2
Let n(t) = 11*t**3 - 13*t**2 + 4*t + 52. What is the units digit of n(8)?
4
Let c(k) = 20*k**2 + 40*k - 367. What is the units digit of c(14)?
3
Suppose -47 = -5*x - 22. Suppose k + 1283 = 2*a + 361, 2310 = 5*a - x*k. What is the hundreds digit of a?
4
Suppose 5*t - 12042 - 22163 = 2*i, 5*t + 5*i - 34170 = 0. What is the units digit of t?
9
Let x = 128 - 139. Let m(l) = 4*l**2 + 14*l + 7. What is the tens digit of m(x)?
3
Let z(w) = -w**3 - 30*w**2 + 64*w - 131. What is the units digit of z(-34)?
7
What is the hundreds digit of (9 + -7)*(1 - 3 - -3851)?
6
Suppose 27*r = -3970 + 139537. What is the tens digit of r?
2
Suppose -33393 - 67427 = -33*a + 48010. What is the tens digit of a?
1
Suppose -27146 = -4*n + 2*h, -n + 2*h = n - 13570. What is the hundreds digit of n?
7
Suppose -2*y = 4*r - 6416 - 7944, r + 4*y = 3604. What is the tens digit of r?
8
Suppose 27*z = -101*z + 259712. What is the tens digit of z?
2
Suppose -16 = o + n + 12, 5*n = 4*o + 130. Let y = o + 32. Suppose -5*u + 20 = 0, 102 = y*r - 5*u + u. What is the units digit of r?
9
Suppose -125*w + 8662 = -123*w + 4*n, -21685 = -5*w - 4*n. What is the tens digit of w?
4
Let o be 3/(12/16) + 3. Let u be ((-2)/(-6))/(o/42). What is the units digit of 24 - (3 + 0*u/(-4))?
1
Suppose -8*f + 10*f + 4*r = -22, 33 = -3*f + 4*r. Let p(z) = z + 53. What is the tens digit of p(f)?
4
Let l be (-17661)/(-39) - (-6)/39. What is the units digit of (-1 - -2)*l*1?
3
What is the hundreds digit of 8901 + (5 - 174/30)*-5 + -6?
8
Let o be 18/288 + (-188)/(-64). Suppose -4*x = -5 - 3. Suppose -o*r - 92 = -2*l, x*r - 244 = -5*l - 14. What is the tens digit of l?
4
What is the hundreds digit of (12 - 11)/(8/23008)?
8
Let y(z) = 8*z**2 + 2*z - 4. Let h be y(5). Suppose -2*o + 4*o - 72 = -u, 0 = 3*u + 4*o - h. What is the tens digit of u?
6
Let i(j) = 3*j**3 - 2*j**2 - 3*j + 3. Let r(b) = 3*b**3 - b**2 - 2*b + 2. Let z(o) = 4*i(o) - 5*r(o). What is the tens digit of z(-4)?
5
Let b = -2 + 0. Let y(h) = -36*h - 28. What is the tens digit of y(b)?
4
Suppose -12 = j + 7. Let b = j + 147. Suppose 29*t + b = 33*t. What is the units digit of t?
2
Let v be (-408)/20*(-60)/3. Suppose 3*k - 4*l - v = 0, k - l - 100 = 37. What is the tens digit of k?
4
Let g = -13 - 16. Let j = g + 50. Suppose 85 = -16*p + j*p. What is the tens digit of p?
1
Suppose 342*p - 5359 = 340*p + 6151. What is the tens digit of p?
5
Let v(z) = -5*z + 14. Let y = 45 + -42. Let r be (-16 + y + -1)/2. What is the units digit of v(r)?
9
Let w(h) = h**3 + h**2 + h + 8. Let s be 10/4*(-48)/(-40). Let i(m) = -m**3 - 2*m**2 - m - 7. Let u(d) = s*i(d) + 2*w(d). What is the units digit of u(-6)?
3
Let v = 34 - 41. What is the hundreds digit of (220/v)/(72/(-252))?
1
Let q be (-16)/28*(-14)/4. Suppose -q*k + 3*a = k, 4*k + 5*a - 9 = 0. What is the units digit of (3 - 5)/(k + (-114)/111)?
4
Let x = 6207 - 4428. What is the tens digit of x?
7
Let j(d) = -12*d**2 - 8*d - 8. Let s be j(-6). Let u = 202 + s. What is the tens digit of 1/2 - u/4?
4
Let r = 50 + -38. Let n be (-39)/r + (-3)/(-12). What is the tens digit of (-3*2 - 1)/(n/21)?
4
Let n(o) = o**2 + 2*o + 6. Suppose 56 = 3*t - 11*t. Let y be n(t). Suppose 4*b - 13 = -4*c + 7*b, -3*c - 4*b + y = 0. What is the units digit of c?
7
Suppose -101464 = -20*a + 28*a - 19*a. What is the tens digit of a?
2
Suppose 2457 = -16*q - 5*q. Let n = q + 224. What is the hundreds digit of n?
1
Let l(r) = -7*r - 64. Let n(s) = 8*s + 65. Let a(g) = -4*l(g) - 3*n(g). What is the hundreds digit of a(14)?
1
Let f(p) = 32*p + 4. Let u be f(7). Let k = u - 112. What is the hundreds digit of k?
1
Let s = 941 + 1225. What is the hundreds digit of s?
1
Let g(z) = 10*z - 115. Let v(d) = -20*d + 231. Let c(o) = -13*g(o) - 6*v(o). What is the hundreds digit of c(-20)?
3
Suppose 0 = 5*o + 6*o + 1155. What is the tens digit of (-10)/2 - (o + -8)?
0
Let r = -71 - -75. What is the hundreds digit of (-1 - (r - 2)) + (-2715)/(-15)?
1
Suppose 0*m = 12*m - 5952. Let a = m - 283. What is the tens digit of a?
1
Suppose 381 + 979 = 10*b. Suppose 2*y - 112 = b. What is the hundreds digit of y?
1
What is the thousands digit of 6642 - (-7 - (12/(-3) - -3))?
6
Let m = 1 - 12. Let l(j) = 0*j + 3*j - 8*j - 33. What is the units digit of l(m)?
2
Suppose 40*d - 52*d + 132526 = 31*d. What is the units digit of d?
2
Let l = -33 - -28. Let o(y) = -2*y**3 - y**2 - 9*y - 35. What is the tens digit of o(l)?
3
Let n(k) = k - 1141 + 615 + 567. What is the units digit of n(14)?
5
Let w(g) = 16*g + 3 - 59*g + 17*g + 12*g. Let i be w(-4). Suppose 2*h - i = -7. What is the units digit of h?
6
Let b = 8557 + -2605. What is the units digit of b?
2
Suppose 598*p - 37191 = 587*p. What is the thousands digit of p?
3
Let s = 6 - 8. Let u(j) be the first derivative of 20*j**3/3 + j**2/2 - 4*j - 1. What is the units digit of u(s)?
4
Let g(d) = 16*d**2 + 17*d - 66. Suppose 2*n + 0*u = -u + 8, 4*n = 2*u + 24. What is the units digit of g(n)?
9
Suppose v + 42 = 16. Suppose -4*c + 0*c + j + 51 = 0, 56 = 4*c + 4*j. What is the units digit of (-490)/v - (50/c + -4)?
9
Suppose -22 + 31 = -3*r. Let p(t) = -157*t - 16. What is the hundreds digit of p(r)?
4
Suppose 0 = -4*s - 5*w - 4 + 53, 3*w + 15 = 5*s. Let g(p) = 4*p**2 + 15*p - 2. What is the units digit of g(s)?
2
Suppose -2*r + 22 = 8. Let b(n) = -13*n - 8. Let c be b(r). What is the units digit of -2 + 4*(-1)/(6/c)?
4
Let i(z) = -66*z + 3. Let q be i(4). Suppose 314*c - 328*c = 2464. Let r = c - q. What is the units digit of r?
5
Let k = -45 - -10. What is the tens digit of 7/(k/1) - (-4323)/15?
8
Let v(f) = 4389*f - 770. What is the hundreds digit of v(2)?
0
What is the units digit of 5740/40 - 7/(-2)?
7
Suppose -4 - 6 = -5*m. Suppose -m*p + 7*p = 20. Suppose 4*r - g - 170 = 0, -4*g + p = -2*r + 96. What is the tens digit of r?
4
Let d = 26 + -32. What is the units digit of (-519)/d + -3 + (-10)/20?
3
What is the tens digit of -2 + (3 - -6) + 8645?
5
Suppose -4*y + 0*y + 5*g = 12, -2 = -3*y + g. Suppose -4*r + 0*r + 12 = 0, 5*b = -y*r + 1031. What is the units digit of b?
5
What is the thousands digit of (-2 + (-33880)/6)*585/(-390)?
8
Let o = -38 - -32. Let f be (-50)/o + (-8)/24. Suppose 3*h - 120 = 5*a - f*a, -2*h = -3*a - 75. What is the tens digit of h?
3
Let b(h) = h**3 - 14*h + 11. Let p be b(-4). Suppose -g - p*g = -1072. What is the tens digit of g?
6
What is the hundreds digit of 133 + (-1 - (-17 - -3))?
1
Let z(d) = 5*d - 7. Let n be z(5). Suppose -r = n - 7. Let s = 55 - r. What is the units digit of s?
6
Let a be (1 - 0) + (-48)/(-2). Let c be 12/28 + a/7. Suppose -3*n + 285 = -4*z, -2*z = -c*z. What is the units digit of n?
5
Let a = 16 - 0. Let o be 12/(-8)*a/6. What is the tens digit of (-10)/o*(-640)/(-25)?
6
Let j(u) = -10*u - 4*u + 32*u - 10*u + 70. What is the units digit of j(-5)?
0
Suppose -4*o - u + 961 = 0, 6*o - 2*u - 729 = 3*o. Let k = o - 170. What is the units digit of k?
1
Suppose -i - 99 = 8*i. Let j(q) = q**3 + 12*q**2 - 27*q - 38. What is the tens digit of j(i)?
8
Suppose -52 = -4*p - 32. Suppose 620 = f + 3*f - p*k, -5*k + 620 = 4*f. What is the units digit of f?
5
Let f = -225 - -1069. Let a = f - 391. What is the units digit of a?
3
Let a(i) = -198*i - 2. What is the tens digit of a(-7)?
8
Let h(w) = w**3 - 7*w**2 - 19*w + 15. Let r be h(12). Suppose -2*c = t - r + 125, -t - 3*c + 385 = 0. What is the tens digit of t?
7
Suppose 8*m - 43 = -11. Suppose -10 = 2*j - 5*n, m*j + 5*n - 5 = 5. Suppose j = -6*h + 95 + 127. What is the units digit of h?
7
Suppose -2*u - 13 = 19. What is the tens digit of -4 - 1172/u*(-20)/(-5)?
8
Let y = 70 + -413. Let a = -103 - y. What is the units digit of a?
0
Let c(s) = -s**3 - 4*s**2 - 2*s + 4. Let z be c(-3). Let k be (-27)/3 + 4*z. What is the units digit of k + 15 + 2/2?
1
Let c(d) = 8 - d - 5*d - 5*d**2 + 9 + 4*d**2. Let h be c(4). Let y = h - -32. What is the units digit of y?
9
Let y = 15289 + -7710. What is the units digit of y?
9
Let b(f) = -17*f**3 - 5*f**2 + 5*f - 8. Let h(v) = v**2 + v. Let s(k) = -b(k) - 3*h(k). What is the hundreds digit of s(2)?
1
What is the units digit of ((-80)/(-280) + (-2822)/(-21))*12?
6
Let n(h) = 4*h - 132. Let y be n(30). What is the tens digit of 3/y + 13575/60?
2
Suppose -33*z + 62760 = -3*z + 10*z. What is the thousands digit of z?
1
Suppose m = 17*t - 20*t + 26603, 5*m = -5*t + 44345. What is the tens digit of t?
6
Suppose -5*i = -3*r - 2, -3*i + 25 = -8*i. Let h = 11 + -7. What is the units digit of h/(-18) - 380/r?
2
What is the hundreds digit of 13 - 5*-1925 - 12?
6
Let l be (14/(-28))/((-2)/2308). Let g = l + -287. What is the tens digit of g?
9
Suppose -4*q - 126 - 46 = -2*w, -w + 70 = 2*q. Suppose w = -5*x - 57. What is the units digit of 3/27 + (-1509)/x?
6
Let o = -2669 + 10159. What is the hundreds digit of o?
4
What is the hundreds digit of 6427 - -6*4/3?
4
Suppose 5*z + 1 = 2*m, 0 = -0*z - 3*z + 2*m - 3. Suppose -4 = -l + z. Suppose -k + 2*n + 27 + 31 = 0, -l*k + 301 = n. What is the units digit of k?
0
Let a = -153 + 319. Suppose a = -5*n + 3*n. Let h = -46 - n. What is the units digit of h?
7
Let t be (-76)/2 - (31 + -25). Let k = t - -116. What is the tens digit of k?
7
Let k(x) = 586*x**3 + 6*x**2 + 14*x - 19. What is the units digit of k(1)?
7
Let v be ((-80)/60)/(1 - 401/399). Let g = -119 + v. What is the units digit of g?
7
Let x(d) = -2*d**2 + 21*d - 51. Let s be x(11). Let r = 78 - s. What is the tens digit of r?
4
Suppose -6*n - 195 = 159. Let r = n - -141. Let x = r + -59. What is the tens digit of x?
2
Let p be 48*((-4)/(-12) - -1). Let n = p - 33. Let w = n + -13. What is the tens digit of w?
1
Let o(a) = 39*a**2 + 8*a + 5. What is the thousands digit of o(-13)?
6
Let z(i) = -10*i + 597. What is the units digit of z(6)?
7
Let s(l) = l**3 + 12*l**2 - 4*l - 51. Let p be s(-12). Let i = 2 - -1. What is the tens digit of (p/(-6))/(i*3/846)?
4
What is the tens digit of (-30)/(-7 + -8) + 1250?
5
Let a = -21 - -27. Let j be a/(-9)*3 - -5. Suppose 5*i = j*d + 409, 3*d + 0 = -i + 89. What is the tens digit of i?
8
Let u = 104 - -199. Suppose -m = -4*t + u, t - 63 = -0*m - 4*m. Let g = 19 + t. What is the tens digit of g?
9
Let v = 178 + -345. Let j = v - -69. Let h = 195 + j. What is the tens digit of h?
9
Suppose 44460 = 96*g - 91*g + 5*t, 4*t = 3*g - 26655. What is the thousands digit of g?
8
Suppose -2*a - 168 = 2*a. Let o = a + 44. What is the units digit of 4/(-18) - -3 - o/(-9)?
3
Let u be (3/(-2))/(-5 + (-2133)/(-426)). Let a = 285 + u. What is the tens digit of a?
7
Suppose -4*l = 2*w - 38970, -13*l + 16*l - 2*w - 29224 = 0. What is the units digit of l?
2
Let j = -5318 - -10046. What is the tens digit of j?
2
Let p(z) = -z + 1. Let h(x) = -3*x. Let j(w) = h(w) + 3*p(w). What is the units digit of j(-5)?
3
Suppose 2*o - 5*f + 15 = 3*o, -7 = -3*o + 4*f. Suppose -129 = -o*c + 3*a, 3*c = -0*c - 2*a + 85. What is the tens digit of c?
2
Let x = 6 - 4. Suppose 2*u = -4*c - 2, c - 3*u - x = 1. Suppose c = -4*l - l + 280. What is the units digit of l?
6
Let y(m) = m**3 + m**2 - 2*m. Suppose -7*p + 2*p - 5*v = -115, 4*v + 70 = 5*p. Let c be p/10 + (-11)/(-55). What is the units digit of y(c)?
8
Suppose 2*l = -3*j + 16712, -8*l = -j - 6*l + 5568. What is the units digit of j?
0
Let j(r) = r**2 - 2*r. Let o be j(4). Suppose -3*t + 7 = 4*p - o*p, 4*t + 5*p = 30. Suppose -m + 2 = 5*b - 0, 2*m - 49 = t*b. What is the tens digit of m?
1
Let r = 29 - 34. What is the tens digit of r + (80 - (1 + -1))?
7
Let r(x) = 136*x - 537. What is the units digit of r(29)?
7
Let j(n) = 61*n - 432. What is the tens digit of j(16)?
4
Let r be (8/(-3))/4 + (-3)/9. Let g(z) = -z + 1. Let n(k) = 8*k - 25. Let a(u) = r*n(u) - 2*g(u). What is the units digit of a(-12)?
5
Let c(v) = 2*v + 129. Suppose -4*w - 247 = -127. What is the tens digit of c(w)?
6
Suppose -31 = -5*n - 36. Let x be (-3 - -1) + (30 - n). Suppose -x = -2*i + 147. What is the units digit of i?
8
Suppose 246 = -94*z + 93*z. Let x be 2/(-2)*1 - 161. Let b = x - z. What is the tens digit of b?
8
Suppose 50 = 5*n - 30. Suppose -n*a = -15*a - 256. What is the tens digit of a?
5
Suppose -2*g = -r + 66, 5*g - 3*r = -0*g - 164. Let w = g - -86. What is the units digit of 4/((-48)/w)*9/(-1)?
9
Let q = 6297 - -11. What is the units digit of q?
8
Suppose -c + 5471 = l, 3*l - 10056 - 6369 = 3*c. Suppose -6*w = 7*w - l. What is the hundreds digit of w?
4
Let g(m) = 80*m + 333. What is the units digit of g(50)?
3
Let r = 577 - -3676. What is the units digit of r?
3
Suppose 0 = -3*y + 4*k + 1 + 3, -2*y + 10 = k. Let w(q) = q**2 - 6*q + 11. Let b be w(y). What is the units digit of (0 + 6/(-4))/(b/(-92))?
6
Let q(w) = w**3 + 8*w**2 - 10*w - 7. Let c be q(-9). Let p(x) = 13*x**3 - 4*x**2 + x + 2. Let n be p(c). Suppose -10*l + 11*l = n. What is the units digit of l?
2
Let i(t) = 7*t + 69. Let h be i(-13). Let g = 31 + h. What is the units digit of g?
9
What is the tens digit of (-23 + (-4102)/42)/((4/(-15))/4)?
1
Let g = 9127 + -5337. What is the units digit of g?
0
Suppose 5*f = -5*k + 50, 3*f + k = -4*k + 40. Suppose 767 + 858 = f*v. What is the hundreds digit of v?
3
Let i = 118 - 62. What is the units digit of -4 + i + 4 + -6?
0
Let d(c) = 8*c**2 - 2*c - 6. Suppose 11*b + 19 = 85. What is the tens digit of d(b)?
7
Suppose -5*c + 12*x + 38095 = 7*x, -2*c = 5*x - 15238. What is the thousands digit of c?
7
Let p(o) = 2*o**2 - 8*o + 6. Let g be p(3). Let m(w) = -2*w + 52. Let t be m(g). Suppose -n - b = -t, 0 = 4*b - b - 6. What is the units digit of n?
0
Let k = -1532 - -3249. What is the hundreds digit of k?
7
Suppose -30464 = 3*c - 2*s, -2*c + 3*s - 21601 = -1285. What is the units digit of -1 + (-14)/(-10) + c/(-45)?
6
Suppose -4*z + 2*z - 2 = 2*j, 3*z = j - 7. What is the units digit of j - 191/(-1) - (2 + -5)?
5
Let c(k) = 5*k**2 + 6*k - 129. Let m(z) = 14*z**2 + 17*z - 387. Let x(l) = 17*c(l) - 6*m(l). What is the hundreds digit of x(0)?
1
Suppose 25*m + 5*y = 21*m - 282, 4*y - 332 = 5*m. Let r(w) = 29*w - 4. Let l be r(5). Let x = m + l. What is the tens digit of x?
7
Suppose 0 = -9*v - 28 + 145. Suppose 0 = v*k - 16*k + 792. What is the units digit of k?
4
Let n be -7 + 15/9 + 228/36. Let q(f) = -f**3 + 2*f**2 + 4*f - 1. Let m be q(3). What is the tens digit of n*m/(-6) + 271/3?
9
Let v(p) = -p**3 - 17*p**2 + 39*p + 39. Let j be v(-19). Suppose -j*s + 3*s = -2397. What is the hundreds digit of s?
1
Let y(d) = 5*d**3 - d**2 - 2*d - 3. Let q be y(2). What is the hundreds digit of q*(-9)/((-9)/16)?
4
Suppose -2064*y + 2054*y + 33210 = 0. What is the thousands digit of y?
3
Let l(d) = 18*d - 63. Let c(u) = 18*u - 64. Let s(t) = 4*c(t) - 3*l(t). What is the units digit of s(15)?
3
Suppose -t = -2*s + 10766, -s + 2*t + 5397 = -2*t. What is the tens digit of s?
8
Suppose -12*y - 8 = -10*y. Let t be (4 - -233) + (y - -6). Let g = t + -138. What is the tens digit of g?
0
Let s = 1364 + -611. What is the units digit of s?
3
Suppose 9*w - 95 = -320. Let c = -25 - w. Suppose -430 = -4*t + 4*d - 86, 5*t - 2*d - 430 = c. What is the tens digit of t?
8
Let j = 83 + -2. What is the units digit of j?
1
Let q = -33 + 51. Let h(x) = x**2 - 20*x + 40. Let y be h(q). Suppose u - 302 = -3*u - t, 2*t = -y. What is the tens digit of u?
7
Let v = 753 + -1291. Let f = v + 948. What is the tens digit of f?
1
Let k = -16 + 18. Let c(s) = 9 + s**k + s - 3 + 5*s**2 - 5*s**2. What is the units digit of c(-3)?
2
Let o(f) = f**2 - 11*f + 40. Let c be o(-17). Let y = c + -174. What is the units digit of y?
2
Let x(u) = -2*u**2 + 173*u - 316. What is the units digit of x(56)?
0
Suppose -37*q - 14372 = -39*q - 4*l, -2*l = 3*q - 21562. What is the thousands digit of q?
7
Suppose 2*i - v = 7*i + 1823, 4*v = 8. Let k = 567 + i. Suppose 3*z = 5*z - k. What is the tens digit of z?
0
Let x be (-60)/(-2) + 2*15/10. Let v = x - 26. What is the units digit of ((-24)/9 - -3)*3*v?
7
Let l(r) = 3*r**2 - 3*r - 8. Let z be l(-7). Let b(w) = -4*w**2 - 106*w - 7. Let q be b(-27). Let t = z + q. What is the tens digit of t?
9
Suppose 3*o + 142 - 151 = 0. What is the tens digit of (1/(-2))/(o/(-24)) - -267?
7
Suppose -13*t + 1975 = -2952. Suppose 20 = 4*l, -8*l + t = n - 12*l. What is the tens digit of n?
9
Let u = -57 - -107. Let l = u - -162. What is the tens digit of l?
1
Let i = -98 - -128. Let j be (0 - -1)/(7/476). Let n = j - i. What is the tens digit of n?
3
Let k(y) = y**3 + 7*y**2 + 2*y + 10. Let c be k(-9). Let w be (2 - 4 - -2) + 23*-3. Let h = w - c. What is the hundreds digit of h?
1
Let g(h) = -h + 1. Let w(a) = -29*a - 55. Let z(m) = -4*g(m) + w(m). What is the units digit of z(-20)?
1
Let t(d) = -24*d + 70. Let z be t(4). What is the tens digit of (z/39)/(3/((-3258)/4))?
8
Suppose 3*f = -5*f + 9632. Suppose f = 4*j + 404. Suppose 0 = -2*c + 4*c - j. What is the units digit of c?
0
Suppose -3*d + 2*d + 40 = 0. Suppose 0 = -26*p + 629 + 957. Let j = p - d. What is the tens digit of j?
2
Let g(i) = 69*i**2 - 53*i - 292. What is the units digit of g(-11)?
0
Let b = 173 + -168. Let m(x) = x**3 - 3*x**2 - 5*x - 4. What is the units digit of m(b)?
1
Let b(g) = 637*g - 57. What is the hundreds digit of b(8)?
0
What is the thousands digit of 679230/84 - 4/56?
8
Let w = -235 + 244. Let f(o) = o**3 - o**2 - o + 272. Let p be f(0). Suppose d = w*d - p. What is the tens digit of d?
3
Let d be (-807)/(3 + -4) - (-2)/2. Let s = d + -483. What is the hundreds digit of s?
3
Let l be (-25298)/(-35) + (-16)/20. Suppose 0 = -9*g + l + 1879. What is the tens digit of g?
8
Let z be 86/5 + ((-7)/35 - -1). Let t = 46 + z. What is the tens digit of t?
6
Let d = -2866 + 9037. What is the hundreds digit of d?
1
What is the units digit of 39404/6 - ((-46)/42 - 63/(-147))?
8
Suppose -3*m = -2*d + 3*d - 845, m + d = 279. Let w = m - -141. What is the hundreds digit of w?
4
Let j(q) = -7*q - 33. Let d be j(-4). What is the units digit of d/10 - (-3270)/12?
2
Let c = -9 + 1. Let t(s) = -s**3 - 9*s**2 - 12*s - 11. Let w be t(c). What is the tens digit of 18/(-4)*(-1 + (2 - w))?
9
Let g = -57 + 57. Suppose g = -16*z + 4967 + 41. What is the units digit of z?
3
Let c be -1 - 9/(18/(-8)). Suppose 5*g - 3*z + 2*z - 15 = 0, -c*g + 2*z + 16 = 0. Suppose -n - g*n = -114. What is the tens digit of n?
3
Suppose 130*c + 5851 = 131*c - 3*i, c - i - 5855 = 0. What is the tens digit of c?
5
Let x = -218 - -220. Suppose -3*o = 0, 0 = 4*k - o - x*o - 48. What is the units digit of k?
2
Let i(m) = m**3 + 6*m**2 + 4*m + 6. Let a be 1 + -3 + 8/2. Let u be 3*((-4)/(-18)*3 - a). What is the tens digit of i(u)?
2
Let o(x) = 56*x**3 + 4*x**2 - 8*x - 13. What is the hundreds digit of o(3)?
5
Let s = 24 + -21. Suppose -3*r + 2*h + 580 = -0*h, -2*r = s*h - 391. Suppose r - 2 = 3*c. What is the tens digit of c?
6
Let g(k) = 5*k - 4. Let h be g(2). Let w(x) = x**2 - 5*x - 3. Let s be w(h). Suppose 0 = d + s, 0*d + 180 = 3*n + 3*d. What is the tens digit of n?
6
Let v = -108 - -127. Let m = v - -80. What is the tens digit of m?
9
Let t(m) = -61*m - 70*m + 4 + 132*m + 78*m**2. What is the hundreds digit of t(2)?
3
Let g(r) = -r**2 + 5*r - 3. Let f be g(5). Let q = f + 123. Let w = 169 - q. What is the units digit of w?
9
Suppose -2*h = -0*j - j - 6513, 5*h - j - 16275 = 0. What is the tens digit of h?
5
Suppose w - 3 = -0*b + b, 0 = 4*b + w - 13. Suppose -3*l + k = -1125, 4*l - b*l - 743 = 3*k. What is the hundreds digit of l?
3
What is the tens digit of (-6 + 0 + 2)*(-15138)/24?
2
Let l be (-15)/5*(-14)/6. Suppose -70 = -9*k - l. Let r(t) = 6*t + 27. What is the tens digit of r(k)?
6
Let v(x) = 25*x**2 - 4*x + 4. Let r = -5 - -8. Let m be v(r). Let g = m + -126. What is the units digit of g?
1
Let l(g) = 114*g - 65. Let c be l(5). Suppose 5*v = x + 950, 256 = 4*v - x - c. What is the hundreds digit of v?
1
Let c(k) = -k**2 - 3*k + 4. Let a be c(0). Let r = a + -10. What is the units digit of 5 + (r/(-4))/(1/2)?
8
What is the tens digit of 6 - (6/30 + 23186/(-5))?
4
Suppose 2*c + 0*c - 26 = -3*u, -2*c - 10 = -3*u. Suppose -u = -3*x + x - 3*r, -6 = -2*x + 5*r. What is the tens digit of 93 + (-7 - -4) - x?
8
Let c(b) = 28*b - 14. Let d be c(8). Let f = 124 - d. Let m = f - -143. What is the units digit of m?
7
Let d = -90 + 58. Let u = 34 + d. Suppose 3*w + 45 = j, -u*j + 3*w + 99 = 18. What is the tens digit of j?
3
Suppose 205197 = 31*i - 126*i + 935082. What is the hundreds digit of i?
6
Suppose 3*x = -k - k + 34, 5*k = -5. Let y be 196/1 + (-2)/(8/x). Suppose 7*h - 220 = y. What is the tens digit of h?
5
Let w = 8 + -4. Suppose -w*u = -3*u + 7*u. Suppose u = -4*o + 3*a + 7 + 7, 0 = 4*a + 8. What is the units digit of o?
2
Suppose 5*r = f + 8, 0*f + f = -r + 4. Suppose -3*u = -0*u - 111. Suppose r*p + u = o - 0*o, 2*o - 5*p - 76 = 0. What is the units digit of o?
3
Let a be (-12)/(-21)*(-21)/(-2). Let y(s) = -a*s + 2*s**3 - s**3 - 4*s + s**2 + 9 + s. What is the units digit of y(4)?
3
Let f(a) = 347*a - 1427. What is the units digit of f(13)?
4
Let l(d) = -193 + 181 - 2*d**2 - 11*d + 73*d. What is the hundreds digit of l(29)?
1
Let s = 2097 + -1559. What is the tens digit of s?
3
Let k(u) = -54*u + 77. Let z be k(-12). Suppose 183 = 4*m - z. What is the hundreds digit of m?
2
Let l = -2331 + 2568. What is the hundreds digit of l?
2
Let n = -5656 + 11041. What is the tens digit of n?
8
Suppose 17*j - 306 = -85. Suppose -j*w = -18*w + 2185. What is the hundreds digit of w?
4
Let y = 51 - 72. Let d = y - -23. Suppose d*k - 350 = -5*k. What is the tens digit of k?
5
Suppose 0 = g - 0*g - 5. Let h(q) = -q**2 + 27*q - 151. Let y be h(7). What is the tens digit of ((-54)/g)/(y/55)?
5
Suppose 0 = 63*u - 130404 - 290940. What is the units digit of u?
8
Let n(l) = 41*l**2 + 2. Let b be n(2). Suppose 8*y = 6*y + b. Suppose 0 = -5*u + y + 167. What is the tens digit of u?
5
Suppose -11*g + 13*g = -14*g. Suppose 341 = 2*w - 0*w + 3*q, g = -4*w + 4*q + 732. What is the tens digit of w?
7
Let h = 1227 - -5904. What is the tens digit of h?
3
Let v = -969 - -8102. What is the hundreds digit of v?
1
What is the units digit of 11045/(-94)*(164/(-20) + -1)?
1
Suppose -5*j = -5*h, 4*j - 5*h - 2 = -3. Let s(c) = -2 + j - 6 + 15*c**2 + c + 6. What is the tens digit of s(2)?
6
Suppose 4 + 11 = 5*v. Let z = v - 1. What is the units digit of 4/10 - (-1479)/15 - z?
7
Let n(q) = -214 + q**2 - 16*q - 170 + 333. What is the units digit of n(22)?
1
Suppose -72*s + 0*s + 278712 = 0. What is the hundreds digit of s?
8
Let t be (-886)/10 - 2/5. Let f(p) = p**2 - 34*p + 69. Let h be f(37). Let w = t + h. What is the tens digit of w?
9
Let n(d) = d**3 - 35*d**2 + 89*d - 287. What is the hundreds digit of n(37)?
7
Let x(s) = -s**3 + 8*s**2 + 2*s - 11. Let y be x(6). Let i = 83 - y. What is the tens digit of i?
1
Let j be -20 + 9 + -2 + 1. Suppose 3*t - 444 = 5*q + 718, -t = -4. What is the units digit of q/(-3) + (-4)/j?
7
Let a(p) = -p - 4. Let h be a(-4). Let q be (-7 + 22)*(2 + (h - 1)). What is the units digit of 1/(-5 + 0) - (-558)/q?
7
Let z = -71 - -85. Let c(h) = -h - 10. Let p be c(-7). What is the tens digit of (p + 4)*(z - -1)?
1
Let j(a) = a**3 - 8*a**2 + 7*a + 1. Let g be j(7). Let w be g + 2 - (0 - (-2 + 7)). Suppose 2*n = w*n - 174. What is the units digit of n?
9
Suppose -36 = -11*y + 13*y. Let j(m) = -2*m + 1. Let w be j(y). Let a = w + -35. What is the units digit of a?
2
Let z = -7068 + 14906. What is the hundreds digit of z?
8
Suppose 0 = -24*h + 22113 + 4215. What is the thousands digit of h?
1
Suppose -o + 1269 = l - 2792, 3*o - 4*l - 12218 = 0. What is the tens digit of o?
6
Suppose 195*p = 184*p + 67287. What is the hundreds digit of p?
1
Suppose -3*o = -f + 361, -2*f - 183 = 5*o - 861. What is the units digit of f*((0 - 0) + -1)/(-1)?
9
Let g(d) = -d**3 + d**2 + 2*d + 15. Let o be g(0). Let p = 17 - o. Suppose 28 = p*m - 16. What is the units digit of m?
2
Let p(g) be the second derivative of g**5/10 - g**4/4 - g**3/6 + 3*g**2/2 - 3*g + 15. What is the tens digit of p(6)?
2
Suppose -5*n = 5*a - 2470, 3*n - 1755 = a - 293. What is the tens digit of n?
8
Let m be (-358)/2 + (9 - 5). Let d = m + 628. What is the units digit of d?
3
Let n(c) = -c**2 + c - 192. Let m be n(0). Let f(g) = -285*g - 3. Let k be f(-1). Let d = k + m. What is the tens digit of d?
9
Suppose 356 = 2*w - 1804. Suppose 3*c - w = -90. What is the units digit of c?
0
Suppose m = -4*q + 20885, -q + 3*m + 6732 = 1527. What is the tens digit of q?
2
Suppose 5*h = 3*h + 564. Let r = -23 + h. What is the tens digit of r?
5
Suppose -3*y + 3*l = 2*l - 147, 0 = -4*y - l + 189. Suppose -y*q = -49*q + 2. Suppose -q*n = -3*n + 48. What is the units digit of n?
8
What is the units digit of 6/(-9)*-3*(-162)/(-1 - 1)?
2
Let o(p) = 12*p**2 - 39*p - 84. What is the tens digit of o(-14)?
1
Suppose -3*l = -3*a - 4*l + 29, -12 = -4*a + 4*l. Suppose a*b - 13 - 3 = 0. Suppose 0 = -b*v - 2*s + 227 - 65, -3*v - s = -233. What is the units digit of v?
6
Let s be 5*(-3)/(-3) + -2. Suppose 1250 = -8*v + s*v. Let j = -171 - v. What is the units digit of j?
9
Let j(o) = -58*o + 79. Let y be j(-28). Suppose 6*t - 55 = y. What is the tens digit of t?
9
Let h(i) = -2*i**3 + 37*i**2 + 90*i - 12. What is the units digit of h(20)?
8
Let u(r) = -35*r - 394. Let l be u(-12). Suppose 4*p + 30 = 5*i, -4*i = -3*p - 36 + 12. Suppose 214 = i*w - l. What is the units digit of w?
0
Suppose 27*f - 23*f - 60 = 0. Suppose -2*i + f = 11. What is the units digit of i?
2
Suppose -250 = -2*h - 3*s + 580, 3*h + s = 1231. Let c = h - 75. What is the units digit of c?
4
Let y(q) be the third derivative of q**5/20 - q**4/2 + 11*q**3/6 - 17*q**2. Let w be y(11). Suppose -3*r + w = 29. What is the tens digit of r?
7
Let s be (5*-2)/(-2)*1. Suppose 2*k + 6 = 0, -s*i - k - 20 = 4*k. What is the units digit of i - 8*(-15)/6?
9
Let s = 43 - 26. Suppose -v - s = -q - 3*v, 4*v - 49 = -3*q. What is the tens digit of (-5)/(q/(-144)) + -4?
4
Let i(a) = 8*a**3 + 3*a**2 - 8*a - 5. Suppose -15 = -f - 3*g, -4*f + 4*g - 13 = -3*f. What is the units digit of i(f)?
4
Let z(o) = -o**3 - 47*o**2 + 31*o - 121. What is the tens digit of z(-49)?
6
Suppose 3*x = 5*v + 15, -2*x - v = -3*v - 10. Suppose 0 = -y - 8 + x. Let q(f) = -3*f**3 - 4*f**2 - 3. What is the tens digit of q(y)?
4
Let w = 1735 - -5387. What is the units digit of w?
2
Let v(y) = y**3 - 20*y**2 + 25*y + 26. Let d = -215 - -234. What is the units digit of v(d)?
0
What is the hundreds digit of (384/(-60))/((-1)/(-152)*8/(-20))?
4
Suppose -34*z - a = -37*z + 1371, 2*z + 2*a - 914 = 0. What is the hundreds digit of z?
4
Let f(r) = -26*r**3 - r**2 - r - 28. What is the tens digit of f(-5)?
0
Suppose -m - 10*m + 63677 - 15706 = 0. What is the units digit of m?
1
Let d(u) = -u**2 - 12*u - 8. Let x be d(-11). Let s = 2 + 18. Suppose -i = 0, 2*w + s - 134 = -x*i. What is the tens digit of w?
5
Suppose n - 7 = -4. Suppose 0 = -n*s + 27 + 111. Suppose h = s + 15. What is the tens digit of h?
6
Let d = 810 + -382. Suppose -3*w + 0*t + 412 = -t, -5*t = -3*w + d. What is the hundreds digit of w?
1
Let p(v) be the second derivative of 11*v - 1/12*v**4 - v**2 + 10/3*v**3 + 0. What is the tens digit of p(8)?
9
Suppose 0 = -3*c + 121 + 143. Let s(x) = -16*x**2 + 299*x - 26. Let w be s(18). Let v = w - c. What is the units digit of v?
4
Let v = 193 + -193. Suppose 0*a + 9*a - 2835 = v. What is the tens digit of a?
1
Let w(c) = -77*c + 191. What is the hundreds digit of w(-56)?
5
Let m = 2927 - 1483. Suppose -m = 354*f - 358*f. What is the units digit of f?
1
Suppose -2*u + 6 = -n - 7*u, 4*u + 20 = 3*n. Suppose 28*d - 5*s = 26*d + 683, -s = -n*d + 1411. What is the tens digit of d?
5
Let g(n) = -n**2 - 2*n + 11. Let p(m) = m**2 + 0 - 17*m - 12 + 19*m + 0*m**2. Let w(b) = -4*g(b) - 3*p(b). What is the units digit of w(-11)?
1
Suppose -4*y + 302 = -394. Let t be ((-8)/(-2) - 9) + -116. Let n = y + t. What is the tens digit of n?
5
Let r be ((-527)/51 - (-4)/(-6)) + -1. What is the units digit of 0 + 3 + -2 + (-1776)/r?
9
What is the hundreds digit of ((-30)/(-60))/(((1 + -3)/(-24))/1140)?
8
Suppose -3*r = -4*r + 3*c + 281, -r + 301 = c. Suppose -301*v = -r*v - 1395. What is the units digit of v?
9
Suppose 2*m + 176 = 4*k - 506, -3*m - 990 = 5*k. Let u = m - -652. What is the hundreds digit of u?
3
Suppose 5654 = l - 1381*y + 1382*y, 3*l - 16950 = 3*y. What is the hundreds digit of l?
6
Let t be -3 + (1 + 281 - (-10)/(-5)). Suppose p - 43 = t. Suppose 6*n - n - p = 0. What is the units digit of n?
4
Let z(r) = 8 - 5*r**2 + 4*r**2 - 10*r**2 + 49*r - 2 + r**3. What is the tens digit of z(10)?
9
What is the units digit of (3/3)/((-3)/(-2727))?
9
Let i = -328 + 136. What is the tens digit of (-1 + (-10)/(-15))/(2/i)?
3
Let h(d) = -74*d + 28. Let t(y) be the first derivative of -49*y**2/2 + 19*y - 16. Let i(c) = 5*h(c) - 7*t(c). What is the units digit of i(-3)?
8
Let n(p) = -265*p**3 - 13*p**2 - 3*p - 7. What is the tens digit of n(-3)?
4
Suppose 2*n + 10*k - 11083 = 5*k, -5*n + 5*k + 27690 = 0. What is the tens digit of n?
3
Suppose -a = -4*a + 6. Suppose -3*d = a*r - 1134, -5*d = 8*r - 11*r - 1909. What is the hundreds digit of d?
3
Let f(y) = 2*y + 832*y**3 + 6*y**2 - 5*y**2 - 882*y**3 + 6. What is the hundreds digit of f(-2)?
4
Let f be (3 - (-1 + 2))/1. Suppose -2*y - f = 0, 4*p + 12*y - 770 = 10*y. What is the hundreds digit of p?
1
What is the thousands digit of (-48)/(-60) + (-52803)/(-15)?
3
Let y be (264/(-10))/((-2)/(-10)). Let u be (2 - 22)*y/55. Let d = 68 - u. What is the units digit of d?
0
Suppose -3*r + 15699 = -3*h, 23164 - 2214 = 4*r + 2*h. What is the hundreds digit of r?
2
Let p = 1625 - 1112. Suppose -3*u + m = p - 1737, 0 = u - 4*m - 397. What is the tens digit of u?
0
Suppose w - t - 2 = 0, 13 = w + 5*t - 7. Let h(j) = 12*j + 33. What is the tens digit of h(w)?
9
Suppose -80*z + 35*z = -104535. What is the hundreds digit of z?
3
Let d = 2 + 32. Let f = d - 49. Let l(v) = -v**2 - 23*v - 24. What is the units digit of l(f)?
6
Let r = -2404 - -4455. What is the thousands digit of r?
2
Let x(z) = z**3 + 5*z**2 + z - 1. Let f be x(-4). Let o = f - -4. What is the units digit of (o - 12) + (-1)/1?
2
Let l be -5 + 4 + 4 + -1. Suppose -k + 28 = -l*h - 3*k, 2*h + 16 = 4*k. What is the tens digit of 84 - h/(-6 - -2)?
8
Let n(i) = 115*i**2 - 18*i - 9. Let j(p) = -231*p**2 + 37*p + 20. Let m(x) = 6*j(x) + 13*n(x). What is the tens digit of m(2)?
1
Suppose -2031 = -2*u + w, -2*u - 6*w = -5*w - 2029. What is the hundreds digit of u?
0
Let h(o) = 41 + o - 30 + 22. Let y be h(0). Suppose 5*i + 4*d - 109 = 0, d - 13 + y = i. What is the units digit of i?
1
Let d(a) = -37*a**3 + 4*a**2 - 4*a - 6. What is the tens digit of d(-2)?
1
Let m be (19 - -8)*(-2)/3. Let y(a) = -7*a + 38. Let v be y(m). Suppose 0 = -4*c + 6*s - s + 229, 0 = -3*c - 4*s + v. What is the units digit of c?
6
Suppose -a + 14 = 4*o - 6, o = 2*a + 14. Suppose -o*t + 21*t = 5205. What is the units digit of t?
7
Suppose 22497 = -30*h + 176697. What is the tens digit of h?
4
Suppose -r = -5*m + 8846, 15*m - 6198 = -r + 20356. What is the units digit of m?
0
Suppose -4*a + 281 = w, -5*a - 729 = 5*w - 2104. Suppose -5*s + n + 589 = 0, 3*s + 3*n = 66 + w. What is the tens digit of s?
1
Let q(n) be the second derivative of n**4/12 - n**3/2 + 35*n**2/2 - 4*n. Let t be q(0). Let v = t + 15. What is the tens digit of v?
5
Suppose 0 = 4*m + 5*q - 14288, -2*m + q + 2650 = -4508. What is the units digit of m?
7
Suppose -2*y + 6*y = -4*s + 16, y + 26 = 5*s. What is the tens digit of y/5 - (-1 + 2884/(-20))?
4
Let q(o) = -o + 18. Let h be q(14). Let u(j) = h*j**2 + 12*j - 22*j + 12*j - 6. What is the units digit of u(3)?
6
What is the hundreds digit of (-14)/2*137100/(-175)?
4
Let f(h) be the second derivative of 5*h**3/2 - 5*h**2/2 + 16*h. Let b be f(5). Suppose -s + b = k, 0 = -7*s + 3*s + 2*k + 268. What is the units digit of s?
8
Let h be (0 - -2)*(2398/4 + 0). Suppose 0 = -3*q - 2*d + h, -7*q = -12*q - 2*d + 2005. What is the hundreds digit of q?
4
Let j(d) = -7*d - 102. Let k be j(-15). Suppose 0 = -k*g + x + 833, -4*g + 1290 - 181 = -x. What is the tens digit of g?
7
Let x(h) = -h**2 + 143*h + 12. What is the units digit of x(46)?
4
Let c = -4178 + 6219. What is the units digit of c?
1
Let j(u) be the third derivative of -u**5/60 + 3*u**4/4 - 23*u**3/6 - 78*u**2. What is the tens digit of j(13)?
4
Let c = -41 - 119. Let k be (c/(-6))/8*(-1 - -4). Suppose -3*j + 30 = 3*y, -4*j + 2 = -k. What is the units digit of y?
7
Suppose -x - 390 = -2*s - 5*x, 4*x = 4*s - 804. Suppose 9*c + s = 838. What is the units digit of c?
1
What is the units digit of (5 + -9 - -11 - 4) + 4072?
5
Let p(m) = m**3 - 10*m**2 + 2*m + 3. Suppose -10*l = 154 + 116. Let t = l - -37. What is the units digit of p(t)?
3
Let q be 1/(-2) - 5/4*-210. Let k = q + -85. What is the hundreds digit of k?
1
Let c = 17 + -15. Let o(s) = -10 + 5*s + 0*s**c + s**2 + 18. What is the units digit of o(7)?
2
Suppose -115125 = -12*j - 7113. What is the hundreds digit of j?
0
What is the tens digit of (-312)/130*28870/(-8)?
6
Suppose 6*b = 4*b + 8. Suppose 0 = -b*l + 3*l + 32. Suppose -m + l = -2*f, -m + 0*f = -3*f - 35. What is the units digit of m?
6
Suppose 622 - 7888 = -6*q. Suppose s = -3*k + q, s + 1808 = 5*k - 221. What is the hundreds digit of k?
4
Suppose -5*g = -d - 4132, 0*d = g + d - 824. Suppose 3*w + 2*b = g + 62, 4*b = w - 310. What is the tens digit of w?
9
Suppose -9339 = -q - 2*v, q + 4*v - 9332 = 9*v. What is the units digit of q?
7
Let r(m) = 4 + 150*m + 0 + 3 - 8. Let h be r(1). Suppose 9*l - h = 22. What is the units digit of l?
9
Suppose -g + 4*h + 84 = 0, g - 5*h - 77 = 6. Let c = 157 - g. What is the units digit of c?
9
What is the hundreds digit of -16 + 8712 - (-2 - -8)?
6
Suppose -4*j - 2*x + 5092 + 924 = 0, -4512 = -3*j - x. What is the hundreds digit of j?
5
Let u(w) = w**3 - 7*w**2 - 8*w - 3. Let s be u(7). What is the tens digit of 3*2 - (s - -13)?
5
Let v = 121 + -265. Let a be 6/(-10) + v/(-40). Suppose 0 = a*m - 2*j - 310, -m - 3*j + 80 = j. What is the hundreds digit of m?
1
Let z = 41 - -116. Suppose 2*a = -4*y + 256, -2*a - y + 96 = -z. What is the tens digit of a?
2
Suppose -27*b + 35*b = 5008. What is the hundreds digit of 10/(-20) + b/4?
1
Suppose -o + 5*o + 16 = 2*x, 4*o - x = -12. Let l(m) = 23*m**2 - 2*m**2 - 16*m - 16*m + 35*m - 4*m**2. What is the tens digit of l(o)?
6
Let o(l) = -5*l + 263. Let z be (-1 - (2 + -3))/1. What is the hundreds digit of o(z)?
2
Let g = -23 - -25. Suppose -3*d + 1280 = g*d. Suppose 0*b = -4*b + d. What is the tens digit of b?
6
What is the thousands digit of ((-12)/10)/(14 - 1564316/111735)?
5
Let a(c) = 8 + 0*c**2 + c**2 - 2*c**2 - c. Let r be a(-3). Suppose -2*y - r*s = -122, -3*y + s = y - 239. What is the units digit of y?
0
What is the thousands digit of 2/19 - 7997180/(-1406)?
5
Let g(n) be the first derivative of n**2 + 37*n + 47. What is the tens digit of g(-10)?
1
Let b be ((4 - 3)*-3)/((-3)/4). Suppose 3*s = b*m + 479, 0*m + 3*m - 750 = -5*s. What is the hundreds digit of s?
1
Let v(i) = 2*i - 7. Suppose 7 = 4*l - 5. Let b be v(l). What is the tens digit of 47 - 3*(b + 8/12)?
4
Let l(q) = 256*q + 2. Let n be l(-1). Let u = n - -862. What is the units digit of u/14 + (-8)/(-14)?
4
Let d be 15*(-84)/45*-3. Suppose 5*w = -4*f + 388, -2*w = f - 2*f + d. What is the units digit of f?
2
Suppose 0 = 4*r + 2*i - 2688, -4*r = 3*i - 4*i - 2694. Suppose -825 = -5*z + 3*p, 4*z = 6*p - p + r. What is the tens digit of z?
6
Let r be -1 + -1 + 17 - 8/2. Let d(m) = m**3 - 12*m**2 + 34*m - 18. What is the units digit of d(r)?
5
Let x(l) = 15*l**2 + 55*l - 681. What is the units digit of x(19)?
9
Suppose 5*u + 8 = 18. Suppose -b - 4 = -u*b, 3*b = -2*f - 94. Let t = f + 120. What is the units digit of t?
7
Suppose -63*b + 440 = -67*b. Let k = -56 - b. What is the units digit of k?
4
Let w be (2/(-1) + 4)*3. Suppose w*a = 9*a - 294. What is the tens digit of a?
9
Let c(l) = 1953*l**2 - 228*l + 452. What is the tens digit of c(2)?
0
Suppose 15*q - 78654 = q + 47612. What is the thousands digit of q?
9
Let a(r) be the second derivative of 43*r**3/6 + 12*r**2 - 25*r - 1. What is the tens digit of a(6)?
8
Let r(b) = 59*b - 42. Let x be (-3)/6 - 39/(-6). What is the units digit of r(x)?
2
What is the thousands digit of (-2)/8 + 0 + (-2704)/(-320)*325?
2
Let v be (2 + (-5)/(-1))*8. Suppose -v = 3*f - 341. What is the tens digit of f?
9
Let g(p) = 3156*p**2 + 15*p - 5. Let k be g(-4). What is the tens digit of k/116 + (-2)/(-8)?
3
Let x be (-4)/6 + ((-5592)/18)/(-4). Let f = x + 32. What is the tens digit of f?
0
Suppose -9*w = 27049 - 72329 - 44693. What is the hundreds digit of w?
9
Let y(z) = -z**3 + 15*z**2 - 12*z - 18. Let d be y(14). Let s be 1/(-5) + 112/d. Suppose -60 = 6*o - s*o. What is the units digit of o?
2
Suppose -a + 3*m - 320 = 498, -2*a = 5*m + 1614. Let x = a + 1270. What is the tens digit of x?
5
Suppose 6*j - 11 - 19 = 0. Suppose -j*y = -2*l + 887, l + 3*y - 350 = 77. What is the tens digit of l?
3
Let o be ((-4)/(-6))/(-7*(-2)/2268). Suppose 4*s + 76 = -72. Let f = s + o. What is the units digit of f?
1
Let f be (-4 - -3) + 720 + 2 + 1. Suppose 27*a - f = 8*a. What is the tens digit of a?
3
Let b = 8999 + -4885. What is the units digit of b?
4
Let b be -4 - ((-16 - -1) + -3). Let a be b/49 + (-24)/(-14) + -2. Suppose a = -z - 5*t - 14 + 38, 2*t = -8. What is the units digit of z?
4
Let t = -89 - -89. Suppose t = -3*r - 3, -7*f = -9*f + 5*r + 819. What is the tens digit of f?
0
Let l = -101 + 102. What is the hundreds digit of (l/3)/(2/1374)?
2
Let d = -7 - -7. Suppose 2*j + 981 = 3*u, -u + 3*u - 3*j - 649 = d. What is the units digit of u?
9
Suppose 4 + 2 = 5*b - s, -5*b = 3*s - 22. Suppose t - b*q = 4*t - 176, -325 = -5*t + 3*q. What is the units digit of -12*t/6*24/(-32)?
3
Let d(r) = -5*r - r + 25 + r**3 - 16*r**2 - 11*r. What is the units digit of d(18)?
7
Let a = -3295 + 3978. What is the tens digit of a?
8
Let h = -195 + 203. Suppose h*d - 7*d + 3*l - 448 = 0, d = -l + 452. What is the tens digit of d?
5
Let o = 430 + -192. Suppose -14*z + o = 3*z. What is the tens digit of z?
1
Suppose -6*q - t + 45 = -q, -4*q + 36 = 5*t. Suppose -5*v + 467 = -4*m, q*v - 465 = 4*v + 5*m. What is the units digit of v?
5
Let g(q) = 11*q - 21. Let b be (9/15)/(0 + (-4)/(-20)). What is the units digit of g(b)?
2
Let r(x) be the first derivative of 69*x**2/2 + 4*x + 1. Suppose -5*j - 4*c + 9 = 0, -3*j + 4 = -2*c + 3*c. What is the units digit of r(j)?
3
Let f = 15 - 3. Suppose 5*b = -5*y + 15, 6*b - f = 2*b + y. Suppose 5*a = b*a - 5*r + 33, 4*r + 84 = 3*a. What is the tens digit of a?
2
Suppose -24 = 3*z + 2*z - 2*a, -2*z + 2*a - 12 = 0. Let t be (2/6)/(z/(-36)). Suppose -236 = -4*j + 2*q + 2*q, 2*q = -t*j + 152. What is the units digit of j?
4
Let b(q) = -q**3 - 2*q**2 + 17*q - 21. Let m be b(4). Let l be -1*(-90)/(-2) + 1. Let j = l - m. What is the units digit of j?
5
Let l = 524 - -190. Let g = -506 + l. What is the hundreds digit of g?
2
Suppose 2*y + 13 = -9. Let g(b) = b**3 - 2*b**2 + b - 35. Let v be g(4). What is the hundreds digit of 33/y - (1/v + -104)?
1
Suppose -q = 3*d - 5, 4*d - 21 = 3*q + 3. Suppose 0 = -g - d*b + 369, g + 2*b = -0*b + 369. What is the tens digit of g?
6
Suppose -f + 600 = 3*f. Let i be (f/12)/(((-1)/2)/(-1)). Let v = i - 11. What is the tens digit of v?
1
Suppose -13*f + 1877 = 3*u - 14*f, 5*f = -10. Suppose 5*t + z - 1111 = 444, -2*t + u = z. What is the hundreds digit of t?
3
What is the tens digit of 10 + 2/(10/36585)?
2
Let r(f) = -f**3 - 13*f**2 + 42*f - 93. Let m be r(-16). Let j = 62 + 275. Suppose m*c - j = -109. What is the tens digit of c?
7
Suppose 5*v + 2*f = 51, f - 2 = -3*v + 29. Let w(j) be the third derivative of j**5/60 - 7*j**4/24 + 19*j**3/6 - 4*j**2. What is the tens digit of w(v)?
6
Suppose 3*l - f - 21 = 2*f, -l + 2*f = -10. Let u(p) = 13*p**2 + 3*p - 12. What is the units digit of u(l)?
8
Let h = 736 + 2777. What is the thousands digit of h?
3
Let z = -4490 - -5225. What is the units digit of z?
5
Let l(k) = -k**3 - k**2 + 2*k - 2. Let f be l(3). Let z = -123 - f. Let g = -15 - z. What is the tens digit of g?
7
Let y be 0 + -4*(-4)/8. Let h be -14*(-4)/16*y. Suppose -4*n = -h*n + 186. What is the tens digit of n?
6
Let q(g) = -3*g - 6. Let a be q(-2). Suppose -3*i + b + a = -5, 2*i = 3*b + 15. Suppose i = 5*v - 101 + 6. What is the units digit of v?
9
Let g(o) be the third derivative of -19*o**4/24 - 28*o**3/3 - 16*o**2 + 3. What is the tens digit of g(-23)?
8
Let n = 153 - -706. Suppose 4*b = s + 4*s - n, b + 696 = 4*s. What is the tens digit of s?
7
Suppose -7 + 26 = c. Suppose -c*x + 225 = -1941. What is the tens digit of x?
1
Let f(p) be the first derivative of -p**3/3 + 35*p**2/2 - 35*p + 61. What is the units digit of f(16)?
9
Suppose 3*m - 29982 = -3*h, 5*h + 4*m + 0*m = 49973. What is the thousands digit of h?
9
Let i be (-90)/(-21) - 2/7. Suppose -2*u + 1296 = 5*r + 2*u, 0 = -3*r + 5*u + 785. Suppose -r = -i*p + 72. What is the tens digit of p?
8
Let o(c) = 31*c**3 - 4*c**2 + 73*c - 26. What is the units digit of o(6)?
4
Let a(c) be the first derivative of 4*c**3/3 - 15*c**2/2 + 2*c + 37. What is the tens digit of a(7)?
9
Suppose 0 = 3*z + 3. What is the tens digit of 3/(-5) + z*1013/(-5)?
0
Suppose 4*l + 3181 = q, -9 = -2*q + 5*q. What is the tens digit of (l/(-6))/(-4*6/(-36))?
9
Suppose -3*b = -7*y + 6*y + 396, -2*b = 5*y - 2048. Let c = -57 + y. What is the tens digit of c?
5
Let k = 5272 + -4072. What is the tens digit of k?
0
Let h = 8636 - 1750. What is the thousands digit of h?
6
What is the tens digit of ((-4)/10)/((-3)/(-110))*(13 + -424)?
2
Suppose -5*k - 5*f = -45, 0 = -f - 3*f. Let x be (k/(-6))/(9/(-12)) - 3. Let a(s) = -23*s - 1. What is the tens digit of a(x)?
2
Let p = 7683 + -4686. What is the units digit of p?
7
Let f be (4 - 6)*(2 + -8). Let q(z) = -z**3 + 11*z**2 + 17*z - 33. What is the tens digit of q(f)?
2
Suppose 4*m + 4*z = 7*m - 42, 5*z = -5*m + 35. Suppose -133 = -a + 9*v - m*v, 0 = -2*a - 5*v + 263. What is the tens digit of a?
3
Suppose 830*u - 1918 = 828*u. Let l be 47*8 - (-2 + 1). Suppose 6*z - u + l = 0. What is the units digit of z?
7
Let i(m) = 48 + 64 - 2*m**2 + 3*m**2 + 170 + m - m**3. What is the units digit of i(0)?
2
Suppose -1274 = -41*b + 54*b. Let k = b + 197. What is the tens digit of k?
9
Let b(i) = -i**2 - 14*i - 16. Let l be b(-13). What is the units digit of (143 - (l + 5)) + 5?
6
Let q(n) be the first derivative of 13*n**2 - 103*n + 69. What is the hundreds digit of q(10)?
1
Let x = 450 - 233. Let n = x - 72. What is the units digit of n?
5
Suppose 426 = 2*v - 774. Suppose -4 = r, 5*r + v = 5*s - 0*r. What is the hundreds digit of s?
1
Let c(b) = -4 + 2*b**3 - 2*b**2 + 7 + 7*b - 3. Let u be c(4). Suppose u = 2*y - 2*g, y - 5*g + 29 = 111. What is the tens digit of y?
5
Suppose -5*f + 25*f - 127540 = 0. What is the units digit of f?
7
Suppose -16*r + 20*r - 1260 = 0. Let k be 3 - -2 - (3 - 4). Suppose 0 = q + 5*c - 63, -r = -5*q + c - k*c. What is the units digit of q?
3
Let g(p) = 17*p**3 - 107*p**2 + 58*p - 7. Let j(u) = -6*u**3 + 36*u**2 - 19*u + 2. Let r(c) = 4*g(c) + 11*j(c). What is the units digit of r(16)?
2
Suppose 3*h + 1575 = 30369. What is the thousands digit of h?
9
Let c(g) = 6*g**2 - 6*g + 18. Suppose 9*i - 24 = 39. What is the hundreds digit of c(i)?
2
Suppose 96*i = 95*i - 105. What is the hundreds digit of (-13419)/i + 8/(-10) + 1?
1
Let j(g) = -323*g + 268. What is the hundreds digit of j(-2)?
9
Suppose -4*x - y - 121 = 0, -x + 2*y + 1 = 29. Let d = -30 - x. Suppose -2*s - s + 75 = d. What is the tens digit of s?
2
Let v = 11 + -7. Suppose -v*u = 2*d + 230, 2*u - 4*d + 80 = u. Let s = u - -118. What is the tens digit of s?
5
Suppose 168772 = 21*m - 14936. What is the tens digit of m?
4
Let d(n) = 10*n**2 + n + 3. Let a(y) = -y**2 - 1. Let v(x) = -4*a(x) + d(x). What is the units digit of v(-4)?
7
Let x(s) be the third derivative of -17*s**4/12 + 43*s**3/3 - 6*s**2 + 2*s. What is the tens digit of x(-8)?
5
Let m(x) be the third derivative of 13*x**4/12 - 6*x**3 - 76*x**2. What is the units digit of m(18)?
2
Let i(t) = -4*t**2 - 2*t + 2. Let a(l) = -l**3 - 8*l**2 - 3*l + 3. Let h(s) = 2*a(s) - 5*i(s). What is the tens digit of h(-4)?
7
Suppose -15*i + 731 = -1744. What is the tens digit of i - (2 + -1 + -7)?
7
Let i(u) = u**2 - 6*u - 77. Let d be i(20). Let v = 300 + -421. Let j = d + v. What is the tens digit of j?
8
Let b(y) = y**3 + 22*y**2 + 19*y - 40. Suppose 3*z = -42 - 21. Let x be b(z). Suppose -2*c + 52 = x*c + 4*d, 0 = 4*c - 3*d - 52. What is the units digit of c?
3
Let m(r) = r**2 - 3*r + 129. Let u be m(-26). Let o = 1271 - u. What is the hundreds digit of o?
3
Let m(y) = -y**2 - 4*y - 1. Let h be m(-2). Suppose -g = u - 5*g - 32, 0 = 2*u + 2*g - 104. Let c = u + h. What is the units digit of c?
1
Suppose 17*c + 135 = 22*c. Let a(p) = -p**2 + 35*p - 80. What is the units digit of a(c)?
6
Suppose -2*t - x = -8, -5*t = x + 4*x - 30. What is the hundreds digit of t/3*-8*(-87)/2?
2
Let a be ((-24)/(-9))/(8/60). Suppose 0 - a = -4*f. Suppose 4*y + f*i - 388 = 0, -4*y - 97 = -5*y - i. What is the tens digit of y?
9
Let d(w) = 3*w**3 - 6*w**2 - 9*w - 9. Let u be d(-4). Let m = -74 - u. What is the tens digit of m?
8
Let u be 6*40/36 + (-2)/(-6). Let y be (-1 + 0 + u)*4/6. Suppose 4*i - 32 = -y. What is the units digit of i?
7
Let t(g) = -1754*g + 1292. What is the thousands digit of t(-4)?
8
Let j(b) = 2010*b**2 + 54*b - 110. What is the hundreds digit of j(2)?
0
Suppose -3*i = 3*k - 2*i + 14, -2*k - 14 = 3*i. What is the hundreds digit of (4 - (194 + -3))*(-5 - k)?
1
What is the tens digit of ((-69460)/(-1150))/((-2)/(-85))?
6
What is the hundreds digit of 6/14 - (-15)/((-420)/(-37396))?
3
Suppose 3*g + 109 = 4*m, -4*m - 10*g + 115 = -15*g. Let x = 25 - 15. What is the units digit of ((-4)/x)/(3/(-5 - m))?
4
Suppose -5156 + 680 = -6*q. Let g = 1170 - q. What is the hundreds digit of g?
4
Let y be 2 + 0/(-2) + 14/7. Suppose -6*z = -5*c - y*z + 2025, 1184 = 3*c + 5*z. What is the units digit of c?
3
Suppose 0 = 43*t - 275186 - 74361. What is the hundreds digit of t?
1
Let i(x) = -x - 33. Let v(j) = -j. Let p(a) = -i(a) - v(a). Let z(l) = 3*l + 32. Let m(r) = 4*p(r) - 3*z(r). What is the units digit of m(15)?
1
Let k = 178 + -27. Let g = 178 + k. What is the units digit of g?
9
Let z(r) = 1 + 18 + 3*r**2 + 7 + 5. What is the hundreds digit of z(9)?
2
Suppose 0 = 5*j - f + 10 - 3, -3*f = -4*j - 10. Let r = j - -5. Suppose -23 = -r*p + 65. What is the tens digit of p?
2
Suppose -125*i + 5*d = -123*i - 4627, 4*d + 4 = 0. What is the tens digit of i?
1
Suppose 4*j - 50 - 186 = 2*r, -5*r + 2*j - 614 = 0. Let y = r + 211. What is the tens digit of y?
8
What is the thousands digit of 75/(-4)*32580/(-135)?
4
Let n(c) = c**3 + 24*c**2 + 29*c - 26. Let g be n(-21). Suppose 0 = -3*a + 6, -5*h - 2*a - 2*a = -g. Suppose h = 6*x - 4*x. What is the units digit of x?
8
Suppose -c + 3*h - 11 = 0, 1 = 4*c - 5*h + 2*h. Suppose -c*f + 12 = 4*v, 0 = -v - v + 3*f + 31. Suppose -v = 2*r - 126. What is the units digit of r?
9
Let m(t) = -5*t + 9. Let u be m(5). Let g = -12 + u. What is the tens digit of (-132)/g + -5 + 1264/14?
9
Suppose 51*w + 147355 = 83*w - 2437. What is the tens digit of w?
8
Suppose -3*x + 8*u = 4*u - 5, 4 = 3*x - 5*u. Suppose f - 2*g - 114 = 0, -x*f + 4*g = -7*f + 516. What is the hundreds digit of f?
1
Let p(w) = -2*w**3 - 9*w**2 - 8*w - 10. Let b(h) = 2*h**3 + 8*h**2 + 7*h + 10. Let l(z) = 3*b(z) + 2*p(z). What is the units digit of l(5)?
5
What is the tens digit of 6/9 - ((-2443)/3 - -9)?
0
Let c = 24 - 42. Let x = c - -12. What is the tens digit of (-314)/x + 8/(-6)?
5
What is the thousands digit of 4184449/535 + (-3)/(-5)?
7
Let c be ((-3)/2)/(6/(-56)). Let p(k) = 2*k**2 + k. Let x(s) = -s**3 + 9*s**2 - 18*s + 20. Let v(i) = 3*p(i) + x(i). What is the units digit of v(c)?
6
Suppose 7*k - 19 = 37. Suppose -k*n + n = -1295. What is the units digit of n?
5
Suppose -3*f + 4*y + 1007 = -2546, 2*f + 3*y = 2397. What is the tens digit of f?
9
Suppose 0 = -2*z + 7*z - 25. Let v be (4 - (-179)/z) + (-1)/(-5). Suppose l - 4*x = 76, -v = -l + 3*x + 37. What is the units digit of l?
0
Suppose -4*t = -3*v + t + 1199, -4*v + 1627 = -t. Suppose -5*m + 0*h + 393 = 4*h, 5*m - v = h. What is the units digit of m?
1
Let a(g) = 3*g**2 + g + 6. Let b(z) = 16*z**2 + 6*z + 31. Let j(y) = 22*a(y) - 4*b(y). Suppose 0 + 12 = -2*s. What is the units digit of j(s)?
2
Let b(x) = 3*x - 72 + 155 - 77. Let n be b(-8). What is the units digit of ((-3)/(n/4))/(4/42)?
7
Let a(c) be the first derivative of c**4/4 - 5*c**3 - 17*c**2/2 - 3*c - 20. What is the tens digit of a(17)?
8
Let f = -9547 + 16437. What is the units digit of f?
0
Suppose 12*d = 17 + 43. Suppose 18*k - 666 = 14*k - d*g, 0 = -4*k + 3*g + 650. What is the units digit of k?
4
Let t = -145 + 147. What is the units digit of 6/t + 14994/42?
0
What is the hundreds digit of (-7 - 4)/(0/(-2) + 3/(-153))?
5
Let y(v) = v**2 - 5*v + 6. Let p be y(4). Let s(c) = 39 - 19 + 4*c + p*c**2 - c**2. What is the units digit of s(-6)?
2
Let k(j) = -37*j**3 + j**2 + j + 1. Let s be 100/12 - 3/9. Let v be (-3 + 1)*s/16. What is the units digit of k(v)?
8
Let r = -35 - -47. Suppose -17*s + 900 = -r*s. Suppose -190 = -5*i + s. What is the tens digit of i?
7
Suppose -3*f - 30 = -3*h - 8*f, 4*h - 5 = 5*f. Suppose -h*j + 1800 = 4*l + 126, 3*j = 6. What is the hundreds digit of l?
4
Suppose 43 = 2*h + 39. Suppose -11 = 4*v - y + 80, -71 = 3*v + h*y. Let s = 25 + v. What is the units digit of s?
2
Let g(m) = 864*m**2 + 54*m - 108. What is the thousands digit of g(2)?
3
Let k(t) = 3*t**2 - 6*t - 11. Let n be k(9). Suppose 10*b + 312 = -n. Let c = -48 - b. What is the units digit of c?
1
Suppose 22262 = 16*d + 1265 - 103083. What is the units digit of d?
5
What is the tens digit of (3/3)/(-1)*(7 + -4577)?
7
Suppose 17*x - 922 = 16*x. Suppose -99*d = -97*d - x. What is the units digit of d?
1
What is the tens digit of (-4 - (4 + 63171/(-12))) + (-5)/20?
5
Let h be 21/1 - (21 + -15). What is the units digit of (-2)/(-6) - 2*(-710)/h?
5
Suppose 4*a = 53 + 39. Suppose 5*n - 2 = a. Suppose -4 = 4*f, -4*i + 35 + 116 = n*f. What is the tens digit of i?
3
Let i = -4664 - -7447. What is the thousands digit of i?
2
Suppose 5 = 7*l - 2*l. Suppose k + 3*r = -15, -k - 5*r - l - 14 = 0. Let i(b) = -b**2 - 15*b + 1. What is the units digit of i(k)?
1
Let n be -2 + 2 - 6*(-2)/4. Suppose n*q = 6*d - d + 2, -q = 1. Let y(b) = -76*b**3. What is the units digit of y(d)?
6
Suppose -3*k = -4*p + 13, -p - 3*k - 2*k = -32. Let x(w) = -40*w + 9 + 22*w + 26*w. What is the units digit of x(p)?
5
Suppose 2*u + 10 = 4*y - 12, 16 = 4*u + 4*y. What is the hundreds digit of 440/(2*(u + 0) + 3)?
4
Let y = -1316 - -3542. What is the units digit of y?
6
Suppose 0 = 3*w - 5*b - 5957, -52*b = -49*b - 15. What is the tens digit of w?
9
Suppose 22*k + 5104 = 30*k. Suppose -3*d - 2*p = -663, 2*p + k = -5*d + 1739. What is the hundreds digit of d?
2
Let y(u) be the second derivative of 16*u**4/3 - 5*u**3/6 - 4*u**2 - 25*u. What is the units digit of y(-2)?
8
Suppose -4*i + 16120 = -7*g + 9*g, -8048 = -g + 2*i. What is the thousands digit of g?
8
Suppose -f - 63 = -4*f. Let a be (2/((-4)/1))/(126/(-45612)). Suppose -2*y - f = -a. What is the tens digit of y?
8
Suppose -29*k + 4*x = -27*k, 5*x - 6 = k. Suppose -2*s + s + 21 = 2*t, 0 = -k*t - 4*s + 36. What is the units digit of t?
2
Suppose 5*w - 1857 = -3*m, -2*w - 4*m = -5*m - 734. Let v = -76 + w. What is the hundreds digit of v?
2
Suppose -2*r + 3*j - 3012 = 0, 5*r + 2*j + 11437 = 3869. Let n be 1/(-4) + (-174)/(-24). What is the units digit of r/(-45) + (n/5 - 1)?
4
What is the tens digit of (-810 + (15 - 6))*-1?
0
Let z = -2005 + 4014. Suppose -8*u + z = -1407. What is the hundreds digit of u?
4
Let w(r) = 9*r - 7. Let h(t) = 11*t**2 - 2*t + 1. Let s be h(1). Suppose 0*p - s = -p. What is the units digit of w(p)?
3
Let u(r) = r**3 - 13*r**2 + 111*r. What is the units digit of u(20)?
0
Suppose 0*y - 2*y = 0. Suppose y = -m - 4*s - 36, 3*m + 0*m + 44 = 4*s. What is the tens digit of (-3)/((-1)/m*-2)?
3
Let t = -41 - -41. Suppose 24*s - 29*s = t. Suppose s*d = -2*d + 5*y + 182, -4*y + 78 = d. What is the units digit of d?
6
Let q = 3 - -24. What is the tens digit of 11655/q + 3/9?
3
Suppose 2*w = -5*g + 116, 2*w - 4*g = 6*w - 220. Let l be 30/(-4)*(-3 - -1). Suppose 3*n + l = 0, 4*a - 3*n + w = 196. What is the tens digit of a?
3
Suppose 8*j - 10*j + 8354 = -z, -2*j + 2*z = -8354. What is the units digit of j?
7
What is the hundreds digit of (3 - (-35 + 37))/((-1)/(588/(-2)))?
2
Let y = -1088 - -9459. What is the thousands digit of y?
8
Let q(s) = s**3 - 23*s**2 + 20*s + 46. Let h be q(22). Suppose -h*v + 241 = 3*u, u - 2*u - 108 = -v. What is the units digit of v?
3
Let a(j) = -23*j**3 + 10*j**2 + 38*j + 9. What is the tens digit of a(-4)?
8
Suppose -2*b + 59 + 11 = 0. What is the units digit of 8/(-28) + 10160/b?
0
Suppose -212 = -3*r + 2*g, 4*g = r + 57 - 141. Suppose -b + r = -4*a, 5*b = -3*a + 211 + 198. What is the units digit of b?
0
Let d(i) be the first derivative of -5*i**2 + 30*i + 27. What is the tens digit of d(-6)?
9
Suppose 2*a + 4*u + 20 = 0, -4*a = -3*u - 2*u + 92. Let w be (1284/a)/(2/(-6)). Suppose -s + 2*q = -3*s + 104, -4*s + 2*q + w = 0. What is the units digit of s?
3
Let q = -1557 - -3409. What is the thousands digit of q?
1
Let r(l) = -3*l - 32. Let z be r(-12). Suppose -17 + 45 = z*h. Let d(c) = 3*c**2 - 7*c - 14. What is the units digit of d(h)?
4
Let r(u) = 10*u + 27. Let c = 36 + -45. Let s(t) = 20*t + 54. Let v(b) = c*r(b) + 4*s(b). What is the units digit of v(-8)?
3
What is the tens digit of (173/4)/(26/(-962)*1/(-4))?
0
Let r be (-7)/2*(-8)/14. Suppose 0*g + z + 5 = -2*g, 2*g + 6 = -r*z. What is the units digit of ((-3)/g)/((-3)/(-6))?
3
Suppose 2*b = -4*j + 22, j - 2*j - 5 = -b. Suppose -2*u - b = -3*u. Suppose u*h - 115 = 249. What is the tens digit of h?
5
Let q(f) = 48*f**2 + 42*f - 16. Let s be q(-11). What is the hundreds digit of 6 + s/12 - 1/6?
4
Let b = -758 - -191. Let d = b - -976. What is the units digit of d?
9
Let d(b) = -1250*b - 23. Let l(a) = -417*a - 7. Let w(j) = 2*d(j) - 7*l(j). What is the units digit of w(1)?
2
Let n(v) = -3*v**3 + 2*v**2 + 8099. What is the units digit of n(0)?
9
Let s(r) = -219*r + 2862. What is the hundreds digit of s(0)?
8
Let z(j) = -526*j + 5. Let c be z(1). Let a = c - -910. What is the units digit of a?
9
Suppose -5*z = -5, -5*c - 54*z = -59*z - 4705. What is the tens digit of c?
4
Let v be 2*-1 - (5 + 5). Let q(n) be the second derivative of n**4/12 + n**3/2 - 5*n**2 + 2*n. What is the tens digit of q(v)?
9
Suppose h = 5*h - 12. Suppose -5*k - k + 12 = 0. Suppose 3*u - i = 260, h*i = k*u - 115 - 63. What is the units digit of u?
6
Suppose 115*r - 513042 = 62533. What is the hundreds digit of r?
0
Let h(t) = t**2 + 6*t - 8. Let c be h(-7). Let q be 148*c*(2 + -3). Let z = 238 - q. What is the tens digit of z?
9
Suppose -5*b - n + 4*n + 6483 = 0, 2*n - 2606 = -2*b. What is the units digit of (b/6)/(7/2 + -3)?
3
Let o(p) = -p**3 + 6*p**2 - 7*p + 1. Let v be o(4). Suppose -5*f - 2 + 12 = 0, 3*h = v*f + 236. What is the tens digit of h?
8
Suppose -19373 + 2114 = -10*x + 17901. What is the thousands digit of x?
3
Suppose 5*u + 2*p = -2*p - 40, -4*u - 3*p = 31. What is the tens digit of 315 - 0*u/(-4)?
1
Suppose 0 = -4*q + 2*q + 4*j + 68, 3*q + 3*j = 57. Suppose 0 = h - 6*h + 20, -3*h + q = -u. What is the units digit of 36/10*6/(u/(-5))?
9
Suppose r + 8 = -l, 0 = -2*l - 4*r - 23 + 1. Let a(f) = f**2 + 6*f + 6. Let h be a(l). Let u(p) = 83*p**3 - p**2. What is the units digit of u(h)?
2
Suppose y - 602 = 312. Suppose 14*u = 12*u + y. What is the units digit of u?
7
Let z be 36 + (-1 - (0 - 3)). Let f(g) = -g**3 + 10*g**2 - 16*g + 9. Let d be f(8). Let o = d + z. What is the units digit of o?
7
Let a(g) = -202 - 219 - g + 120 - 37 + g**2. Let o be a(0). What is the units digit of (-2)/(-9) - o/18?
9
Suppose -6*n - 69 - 9 = 0. What is the units digit of 1/((n/(-70))/13)?
0
What is the units digit of ((-1)/1*-1055 - 5) + 2 + 1?
3
Suppose 0 = 3*i + 2*f - 31, -5*i - 5*f + 6 = -39. Suppose i*y - 15*y = -310. What is the hundreds digit of y?
1
Suppose 6*t - 1336 = 7*t. Let d be ((-2)/2)/((-5348)/t + -4). What is the units digit of 2/(-4) + d/(-4)?
3
Suppose 25*l + 28020 = 30*l + b, 3*l = 5*b + 16840. What is the hundreds digit of l?
6
Let s = -548 - -768. Let q be 2/5*s/(-4). What is the tens digit of 106/8 + -3 + q/(-8)?
1
Let j be 14/4 - (-5)/10. Suppose 0*o = j*o - 1556. Suppose o = 5*h + 2*z, 3*h + z + 240 = 6*h. What is the units digit of h?
9
Suppose -4*k - 3*x + 220 = 0, 4*k = 5*k - 2*x - 66. Suppose 0 = -4*m - q + 1589, -5*m + 1937 + k = 3*q. What is the hundreds digit of m?
3
Let m(r) = 3*r - 68. Let n be m(21). Let g(d) = -4*d**3 - 8*d**2 + 2*d + 37. What is the tens digit of g(n)?
2
Let u be -6 - (-10 + 4 - 15). Let b = -33 - -91. Suppose -17*p + b = -u*p. What is the tens digit of p?
2
Let b = -92 - -96. Suppose -d + 424 = -3*a, -b*d - 3*a = -2*a - 1722. What is the hundreds digit of d?
4
Suppose 20300 + 98037 = 26*v - 100609. What is the units digit of v?
1
Let y = 2879 - 1330. Suppose -4*k = b - y, 7*k = 3*k - 2*b + 1550. What is the hundreds digit of k?
3
Let l be (-13)/(-78) - 1846/(-12). Let m(p) = -83*p - 1. Let k be m(-3). Let q = k - l. What is the tens digit of q?
9
Suppose -175 = -14*l - 7. Suppose -l*x + 2*x = -1850. What is the units digit of x?
5
Let v = -97 - -143. Let x = v + -39. Suppose -8*u = -x*u - 79. What is the units digit of u?
9
What is the tens digit of 4622 + 3 - (-3 + -2)?
3
Suppose 5*c + 2*g = -13 + 73, 2*c = 5*g + 24. What is the units digit of (-9)/(c/4)*(-386)/6?
3
Let y be (2 - 3)*-2 + -3081. What is the tens digit of 3 - ((-6)/39 + y/13)?
4
Suppose 3*b - 20 = -2*s, -2*b - b + 3*s = 0. Suppose b*d - g - g - 10 = 0, -5*d = g + 5. Suppose d = 3*m - 176 + 11. What is the tens digit of m?
5
Let x = -164 + 177. Let v(s) = 11*s + 71. What is the hundreds digit of v(x)?
2
Let m(k) = -14*k + 26. Suppose 4*g + 3*x + 70 = 0, 0 = 5*g - 2*x - 0*x + 76. Let t be m(g). Suppose 0*n - 5*n + t = 0. What is the tens digit of n?
5
Suppose 14*m = -22 + 176. Suppose -m*s = -449 - 156. What is the units digit of s?
5
Let c be (4/(-10))/(-2) + 720/25. Suppose 35*v - 96 = c*v. What is the units digit of v?
6
Let z = -35 - 10. Let c = z + 86. Let n = -3 + c. What is the tens digit of n?
3
Let u(m) = 2*m**2 + 16 + 1705*m - 1702*m + 10 - m**2. What is the tens digit of u(-6)?
4
Suppose -4 = 4*f - 0, f = -2*q - 31. Let j(u) = -23*u - 78. What is the hundreds digit of j(q)?
2
Let s(p) = 16*p + 13*p + 9*p - 29 - 4*p. What is the tens digit of s(13)?
1
Let p = 11502 - 6706. What is the units digit of p?
6
Suppose 4*m + 4*n = 30 + 858, 3*n = 5*m - 1110. Let q be -122 - (-2 + 3)*2. Let a = q + m. What is the units digit of a?
8
Suppose 0 = -i + 5*i + 148. Let t = i + 35. What is the units digit of (t/(-2))/(1/95)?
5
Let f = 14 - 54. What is the units digit of (-8)/10 - 2/(f/8996)?
9
Let l be (12/(-14))/(3/(-63)). Let g(v) = -19*v + 121. Let y be g(5). Let x = l + y. What is the tens digit of x?
4
Let l = 5895 - 4613. What is the hundreds digit of l?
2
Suppose -12 = 4*q, 0 = 4*l - 2*l + q - 15663. What is the thousands digit of l?
7
Let f(m) = -m**3 + 23*m**2 - 26*m - 47. What is the thousands digit of f(18)?
1
Suppose -3*p = -7*p + 1300. Suppose -p = -r - 2*h, -114 = -r - 3*h + 209. What is the units digit of r?
9
Let d = 3 - 19. Let g(z) = -z**3 - 15*z**2 + 9*z + 6. Let p be g(d). Suppose 0*c + 2*c = p. What is the tens digit of c?
5
Suppose -68*q + 72*q = -3512. What is the units digit of q*1/(5 + -7)?
9
Let c(n) = 324*n**2 + 57*n + 261. What is the units digit of c(-5)?
6
What is the tens digit of 0 + 824/16 - (10/4 - 3)?
5
Suppose 24625 - 6481 = 9*q. Suppose 0 = 16*j - 10*j - q. What is the units digit of j?
6
What is the units digit of (-196)/(-1274) - 2/(78/(-98469))?
5
Let p be 100/(-7)*(-7)/2. Suppose p - 148 = -q. What is the tens digit of q?
9
Suppose 5*k - 294 = q + 48, -k + 4*q + 76 = 0. Let u = 698 - 348. Suppose 5*b = 5*n - 355, -2*b = -4*n - k + u. What is the tens digit of n?
7
Let k = 1 - -3. Suppose c + k*t - 198 = -c, -5*c = 2*t - 487. Let p = c + -59. What is the units digit of p?
8
Let b(k) = 25*k + 108. Let g(w) = -13*w - 53. Let a(r) = 4*b(r) + 9*g(r). What is the units digit of a(-12)?
9
Let o(m) = -2452*m + 134. What is the hundreds digit of o(-2)?
0
What is the tens digit of 1/(15 + -11)*32404?
0
Let t = -35 - -30. Let f be 51/(-9) - t - (-290)/3. Suppose -3*p + 2*p + f = 0. What is the units digit of p?
6
Let c(o) be the second derivative of 0 - 15*o - 5/2*o**2 - 1/6*o**4 - 1/20*o**5 + 0*o**3. What is the units digit of c(-5)?
0
Let n = -3142 - -12851. What is the units digit of n?
9
Let m be ((-45)/12 + -1)*-4. Suppose -3*c = -2*o - c - 2, -4*o - c = m. What is the tens digit of 11/(35/(-10) - o)?
2
Let j(h) = -7*h**3 + 2*h + 3. Let p be (-4)/(-6) - (1 - 142/3). Let i = 45 - p. What is the tens digit of j(i)?
5
Let l = 172 + -12. What is the hundreds digit of (14 - 4)*9/(36/l)?
4
Let c(o) be the second derivative of 17*o**5/20 - o**3/2 + 3*o**2/2 - 77*o. What is the tens digit of c(2)?
3
Let i(q) = 59*q + 921. What is the units digit of i(30)?
1
Suppose -4*o + 5*c = 18 - 315, c = 3. Suppose -5*w + o = -1997. What is the hundreds digit of w?
4
Let k(g) = -55*g**3 + 6*g. Let f(y) = y**3 - y + 1. Let n(q) = -3*f(q) - k(q). What is the units digit of n(2)?
7
Suppose 16*w = -12*w + 175951 + 26069. What is the thousands digit of w?
7
Let r(v) be the third derivative of v**5/10 + 7*v**4/24 - 4*v**3/3 + 2*v**2. Let o be 8 + (-37)/5 - (-12)/5. What is the units digit of r(o)?
7
Suppose -6542 = -3*c + t + 1169, 0 = 3*c - 5*t - 7703. What is the tens digit of c?
7
What is the thousands digit of (-5)/(-10) + 30483/18?
1
Let a be -6*(-2 + (-9)/(-6)). Suppose 5*h - a*b = 5038, 5*b + 170 = 4*h - 3850. What is the tens digit of (3 - 1)/(20/h)?
0
Suppose 4*c - 5*c = -4*p - 9, 4*c - 2*p = -20. What is the tens digit of (-11)/((-44)/(-120))*c?
1
Suppose 14 + 18 = -4*y. Let m(r) = -5*r + 3. Let a(p) = -6*p + 3. Let o(l) = 7*a(l) - 6*m(l). What is the units digit of o(y)?
9
Let n = 3550 + -442. What is the hundreds digit of n?
1
Suppose 0 = -34*p - 23*p + 31*p + 43680. What is the tens digit of p?
8
Suppose 5*n = -5*b + 11375, 9*b + 4506 = 20*n - 18*n. What is the hundreds digit of n?
2
Let o(k) = 7*k**3 - 9*k**2 - k + 12. Let u be o(4). Let v = u - 116. What is the tens digit of v?
9
Let j = 4789 + -2931. What is the units digit of j?
8
Suppose 5*p + 13*j - 26310 = 8*j, -2*p + 2*j + 10524 = 0. What is the thousands digit of p?
5
Let c(i) = 4*i**3 - 16*i**2 + 29*i - 19. What is the units digit of c(10)?
1
What is the tens digit of 12*23810/8*3/15?
4
Suppose 3*h - h - 2 = 0. What is the hundreds digit of 6/39*h + 10084/26?
3
Let t be -5*(-16)/60*3. Suppose -o - t = -9. Suppose 2*i + o*r = 43, 3*i - r = 2*i + 4. What is the units digit of i?
9
Let y = -4578 - -9788. What is the thousands digit of y?
5
Let f be (-15)/2*(-4 - 40/(-15)). Let v(w) = w**3 - 8*w**2 + 25*w - 3. What is the tens digit of v(f)?
4
Let q(c) = 15*c**2 + 26*c - 370. What is the thousands digit of q(12)?
2
Let l = 2818 + 3743. What is the thousands digit of l?
6
Suppose -87*k = -83*k - 240. Suppose -1788 = 48*c - k*c. What is the hundreds digit of c?
1
Let l(c) = 234*c - 608. What is the hundreds digit of l(45)?
9
Let r(b) = 35*b**2 + 55*b - 275. What is the units digit of r(13)?
5
Let s = -1557 - -2700. What is the thousands digit of s?
1
Let o(f) = 10*f**2 - 8*f + 7. Let u(l) = l**2. Let v(j) = o(j) - 2*u(j). Let m be (8/(-6))/((-28)/63). What is the tens digit of v(m)?
5
Let u(a) = -2*a**3 + 41*a**2 - 18*a - 40. Let d be u(20). Suppose -5*s = -d*s - 1030. What is the units digit of s?
6
Let h = -1582 - -4699. What is the thousands digit of h?
3
Suppose -8*s = -3*l - 6*s + 14465, -4*l + 5*s = -19282. What is the tens digit of l?
2
Suppose 241*o + 270 = 246*o. Suppose 0 = 4*f - 84 - 412. Let w = f - o. What is the units digit of w?
0
Let h(t) be the second derivative of -37*t**3/6 + 2*t**2 + 5*t. Suppose a + 22 = -5*y, 2*y - 1 + 3 = 3*a. What is the tens digit of h(a)?
7
What is the tens digit of 2 - 8028/(-16)*4?
0
Let s(g) = 5*g**2 - 9*g + 24. Let v be s(-8). Suppose 3*k - v = -k. What is the tens digit of k?
0
Suppose -q - 852 = -2*t + 81, -4*t + 1869 = -3*q. Suppose -k + 4*k - t = 0. What is the units digit of k?
5
Let z = 118 - 85. Suppose 2*u - 624 = -4*t, z = -3*t - 2*u + 500. What is the hundreds digit of t?
1
Let b(d) be the third derivative of d**5/60 - d**4/8 + 2*d**3/3 + 13*d**2. Let o be b(3). Suppose -o*a + 93 + 283 = 0. What is the tens digit of a?
9
Suppose 0 = -5*l + 15, 4*l = 57*f - 56*f - 5818. What is the units digit of f?
0
Let s = 14 - 13. Let x be (-1 - (2 - 2))/s - -32. What is the units digit of x + -8 + 3 + 1?
7
Suppose 3*z - 2*v + 129 + 1289 = 0, 0 = 2*z - v + 945. What is the tens digit of (z/(-10))/(4/10)?
1
Let u(q) = q**3 - 5*q**2 + 29*q - 269. What is the tens digit of u(12)?
8
Suppose -414*p + 427*p = 9086 + 49674. What is the tens digit of p?
2
Let m be (143 + 1 - 3) + 3. Suppose 5*p + m = 7*p. What is the tens digit of p?
7
Let g(l) = 4*l + 23. Let p(s) = -7*s - 46. Let f(u) = -5*g(u) - 3*p(u). Let h = 4 + -25. What is the units digit of f(h)?
2
What is the tens digit of -11 + (10 - -2164 - -5)?
6
Let t(j) = -3*j**3 - 15*j**2 - 101*j - 17. What is the tens digit of t(-13)?
5
Let l(s) = 72*s**2 + 21*s + 78. What is the thousands digit of l(11)?
9
Let u be (-2)/6 + (-6 - (-150)/18). Suppose -360 = d - u*d. What is the units digit of d?
0
Let r(z) = 3*z - 57. Let f be r(25). Suppose 32*v = f*v + 4046. What is the hundreds digit of v?
2
Let i be 166*(-1)/4*(-2 - -4). Let h = 120 + i. What is the units digit of h?
7
Suppose -37*d - 55640 = 33*d - 80*d. What is the hundreds digit of d?
5
Let u(o) = -2*o**3 + 10*o**2 + 5*o - 3. Suppose 0*v + 3*g = 3*v - 30, 12 = 4*v + 3*g. Let k be u(v). What is the tens digit of ((-134)/(-3))/(6/k*-5)?
6
Let q(m) = -15*m - 70. Let t be q(-5). Suppose 1525 = 5*p + 5*r, 0 = 2*r - t + 13. What is the units digit of p?
9
Suppose 0 = -24*z - 53 - 91. Let r(c) = -4*c**3 - 2 - c - 4*c**2 + 3*c**3 + 5*c. What is the tens digit of r(z)?
4
Let g(n) = -4*n - 2*n**2 + 8*n**2 - 6 - n - 5*n. Let u(a) = -a**3 + 10*a**2 - 10*a + 14. Let q be u(9). What is the units digit of g(q)?
4
Let i be (-25)/4 - 18/(-72). Let j(m) = 18*m - 5. Let u(q) = 37*q - 9. Let s(h) = -9*j(h) + 4*u(h). What is the units digit of s(i)?
3
Let d(v) = 63*v**2 - 54*v - 109. What is the thousands digit of d(-10)?
6
Let l be 14 + ((-3)/(-1) - 5). Let v be 248/(8/l - 1). What is the units digit of (v/84)/(1/(-7))?
2
Suppose -3*d = -2*o + 3666, -o + 2*d + 2094 = 260. What is the hundreds digit of o?
8
Let j(s) = -s**2 - 4*s + 7. Let r be j(-5). Suppose r*q = 8 - 10. What is the units digit of (18 - 19) + (0 - q - -12)?
2
Suppose 5*u = 2*y - 8 + 30, 3*u + 2 = 5*y. What is the units digit of 10/u*5*(15 + 36)?
5
Suppose 5*c - 35974 = 8296. What is the thousands digit of c?
8
Let r(c) = c**3 - 22*c**2 + 42*c + 16. Let a be (-2)/(-13) + 4/78*387. What is the tens digit of r(a)?
5
What is the units digit of 3467 - (-12)/14*105/15?
3
Let i = -2035 + 3732. What is the thousands digit of i?
1
Suppose 0 = 25*f + 5*f + 60. What is the hundreds digit of 215 + 8/f + 4 - 2?
2
Let l = 16 - 12. Suppose 2*y - l*q + 8 = 0, -2*y - 4*q = q - 28. Suppose -y*n + 200 = -2*s, -5*n + 2*s - 61 = -313. What is the units digit of n?
2
Let d be 4/(-26) + 60/52. What is the units digit of 20/5 - d - (-452)/4?
6
Let y = -14 - -17. Suppose 99 + 333 = y*w. Suppose 0 = 2*t - w + 60. What is the units digit of t?
2
Suppose -5*w + 4*u = -6170, 0 = 4*w + 2*u - 5*u - 4937. Suppose 8*n = 4*n + 2*p + 1660, -2*p + w = 3*n. What is the tens digit of n?
1
Let x(c) = 2*c**3 - 9*c**2 + 6*c - 8. Let g be x(4). What is the units digit of 1890/(-135)*(126/(-4) + g)?
1
Let q(w) = -276*w + 7. Suppose -14*c + 12*c = 2. What is the tens digit of q(c)?
8
Let z(f) = -4*f + 475. Let b be z(0). Let n = -115 + b. What is the hundreds digit of n?
3
Let z(d) = -d**3 + 9*d**2 - 13*d + 5. Let s be z(7). Suppose 2*m = -c - s, -c + 25 = -3*m - 6*c. Let k(i) = i + 21. What is the tens digit of k(m)?
1
Let q = 5 + 2. Let y(r) = 5*r - 59. Let s(a) = -4*a + 55. Let x(m) = 7*s(m) + 6*y(m). What is the units digit of x(q)?
5
What is the hundreds digit of (-696487)/(-99) + (-5)/((-45)/(-2))?
0
Suppose -9*k - 47112 + 131253 = 0. What is the tens digit of k?
4
Suppose -4*g + 5068 = 4*k, -3*k - 3*g + 2530 = -k. What is the thousands digit of k?
1
Suppose -5*m + 4*m + 18 = 5*j, -4*m = -4*j. Suppose w - 51 = -4*x, -x + w = -m*x + 25. What is the units digit of x?
3
Let x = -150 - -150. Suppose -4*s + 232 + 524 = x. What is the hundreds digit of s?
1
Let n = -563 + 799. Let j = n - 224. What is the units digit of j?
2
Let c(f) = 5*f**3 + 4*f**2 - 10*f - 5. Let x be c(8). Suppose -x + 300 = -11*u. What is the units digit of u?
1
Suppose -10*r = -6*r - 20. Let q(n) = -n**3 + 4*n**2 + 6*n + 4. Let l be q(r). Suppose -137 = -l*c + 376. What is the tens digit of c?
5
Suppose -27093 = -5*b + 2*h, -4*b - 61*h + 21680 = -57*h. What is the thousands digit of b?
5
Suppose 180*d - 205*d + 157800 = 0. What is the hundreds digit of d?
3
Let z be (-2)/((-5)/4 + -5 + 6). Suppose -13*c + 5*w = -12*c - 199, 4*w - z = 0. What is the tens digit of c?
0
Let d = -39 + 44. Let x be ((8 - d) + 4)*(-6)/(-7). Suppose 696 = x*o + 2*o. What is the tens digit of o?
8
What is the tens digit of -6752*9/(-9) - 1?
5
Let i(n) be the second derivative of n**4/4 - 7*n**3/6 + 9*n**2/2 - 11*n - 5. What is the units digit of i(10)?
9
What is the units digit of (-363445)/(-50) + 6 + 5 + 98/(-20)?
5
Suppose 2*s - 3*j - 6843 = 0, 8*s + 17125 = 13*s - 4*j. What is the thousands digit of s?
3
Let w = 34 + -34. Suppose 2*d + 5*s - 87 = w, 3*d + 7 = -3*s + 124. Suppose p - d - 12 = 0. What is the tens digit of p?
4
What is the thousands digit of (21 - (-2086)/(-98))/(-1*(-1)/(-20419))?
5
Suppose 68*d + 14*d + 0*d = 449360. What is the tens digit of d?
8
Suppose -20*w - 474300 = -90*w - 32*w. What is the units digit of w?
0
Let y = -331 + 76. What is the units digit of 7*(36/315)/((-2)/y)?
2
Suppose 4*t = -4*l + 5 + 31, 23 = 2*t + 3*l. Let a(v) = 2*v**3 - 4*v**2 - 6*v + 1. Let u be a(t). Let d = -35 + u. What is the units digit of d?
6
What is the hundreds digit of (-57640)/(-45) + -3 + (-84)/(-27)?
2
Suppose 3*r - 228 = -3*s, -r - 3*s - 2*s = -56. Let j be (-702)/(-24) + 3/4. Let l = r - j. What is the units digit of l?
1
Let o = -190 + 184. Let k = o - -126. What is the tens digit of k?
2
Let m(q) = 2*q**3 - 24*q**2 + 50*q + 46. What is the units digit of m(21)?
4
Let r = 56 + -16. Let i be (1/4)/((-10)/r). What is the units digit of 44 - (-2 + 1/i)?
7
Suppose -14*n + 22*n + 20520 = 11*n. What is the hundreds digit of n?
8
Let j(m) = m**3 + 9*m**2 + 4. Let u(b) = -10*b + 1. Let g be u(1). Let k be j(g). What is the tens digit of k + 19 + -2 - -1?
2
Let h = 6086 - 4250. What is the units digit of h?
6
Let n(k) = -40 + 71*k - 86 + 2 + 29. Let a(p) = -14*p + 19. Let w(r) = -11*a(r) - 2*n(r). What is the hundreds digit of w(10)?
1
Suppose -k + 240 = 4*a - 4*k, -3*a + 180 = 3*k. Suppose a = 2*r + 8*r. Suppose c = r*c - 155. What is the tens digit of c?
3
Let k be 8/12*54/4. Let h(b) be the third derivative of b**5/60 - 5*b**4/24 - b**3/6 + 2*b**2 - 18*b. What is the tens digit of h(k)?
3
Suppose 36854 - 358934 = -80*d. What is the units digit of d?
6
Let a be 1 + (6 - 22) - (-1 - 0). Let n(h) = -18*h + 65. What is the tens digit of n(a)?
1
Let n = -121 - -133. Suppose -3*v = -n*v + 3150. What is the tens digit of v?
5
Let w be 7/(35/15)*(-88)/6. Let r = w - -173. What is the tens digit of r?
2
Let k = 5 - 5. Suppose 5*u + k*u = 15. Suppose w = -u*w + 260. What is the units digit of w?
5
Let l = -5 - -23. Suppose l*i = 672 + 462. What is the units digit of i?
3
Let i = 5 + 16. Suppose 5*c = 2*c - i. What is the units digit of 3/7 - (326/c + 3)?
4
Suppose 4*t - 3762 = -s + 369, 4*s - 16498 = -3*t. What is the thousands digit of s?
4
Suppose q - 56 = -4*z + 2*q, 4*z - 2*q - 52 = 0. Suppose a + 17 = 2*i + i, -5*a = -i + z. Suppose -4*t = i*t - 603. What is the tens digit of t?
6
Let z(p) = -6*p**2 + 26 + 2*p - 2*p + 3*p + 9*p - 3*p**3. What is the units digit of z(-6)?
6
Let b be 58/(-145) - -38*566/20. Let v = b - 692. What is the units digit of v?
3
Let o(a) = a**3 + 48*a**2 + 116*a - 80. What is the units digit of o(-40)?
0
Let i(n) = -261*n - 14. Let y be i(-2). Suppose 0*g = -2*g + y. What is the hundreds digit of g?
2
Let b(o) = o**3 - 4*o**2 + 30*o - 6. Let k be b(6). Suppose z - 126 - k = 0. What is the tens digit of z?
7
Let h(f) = 125*f + 1. Let q be h(7). Suppose -18*r + 2850 = -q. What is the tens digit of r?
0
Let y(u) = u**2 - 14*u + 25. Let o be y(12). Suppose 0 = 4*k - 3*h - 8, 4*h - o = 3*k - 7. What is the units digit of (-370)/(-4) - k/(-4)?
3
Suppose w + h = 3269 + 2074, 4*h = 3*w - 16050. What is the thousands digit of w?
5
Suppose 4 - 37 = -3*w. Suppose -w*f + 944 + 288 = 0. What is the hundreds digit of f?
1
Let d(j) = 471*j**3 - 23*j + 50. What is the thousands digit of d(2)?
3
Let a(i) = -i**3 - 9*i**2 + 8*i - 18. Let t be a(-10). Suppose -47 = -3*k - 2*k - t*j, 4*k = 4*j + 32. What is the units digit of k?
9
Suppose 3*y = -2*y + 3*y. Let b(g) = -g**3 - 4*g**2 + g - 1. Let l be b(-5). Suppose y = -3*j + l + 29. What is the tens digit of j?
1
Let d(u) = 6 - 1 - 2*u + 7*u. Let k = -2043 - -2056. What is the units digit of d(k)?
0
What is the tens digit of -3 + 4 + (4/7 - 663630/(-70))?
8
Let w(m) = -m**2 - 2*m + 4705. What is the hundreds digit of w(0)?
7
What is the tens digit of 46/(-1)*((-120)/16 - 7)?
6
Let d be 4 - (0 + 7 - (-9 + 15)). Let g = 9 + -4. Suppose 2*n - 20 = -d*n, 4*h + g*n = 424. What is the units digit of h?
1
Let j = -119 + 605. Suppose 1404 = 15*d - j. What is the units digit of d?
6
Let d(h) = 348 + 7*h**2 - h**3 + 13*h**2 - 6*h**2 - h - 4*h**2. What is the hundreds digit of d(0)?
3
Suppose 2*p - 649 = 5*n, -2*n = -2*p + 2*n + 648. Let w = p - 175. What is the hundreds digit of w?
1
Let v be (3 + -1)/(-2)*-3. Suppose 7*b = -v*b + 380. Let d = 74 - b. What is the tens digit of d?
3
Let v = 62 - 20. Let n = v + 138. What is the hundreds digit of n?
1
Suppose -2*x - 50*y + 54*y + 3730 = 0, 4*y + 1863 = x. What is the thousands digit of x?
1
Let k(z) = 25*z**2 - 16*z + 53. Let v be k(3). Suppose 958 = 4*q - v. What is the hundreds digit of q?
2
Let i(n) = n**2 - 17*n - 35. Let w be i(19). Suppose w*x + 4*x = 3*x. Suppose -4*a + 338 = -x*a - 3*z, 0 = 5*a - z - 428. What is the units digit of a?
6
What is the tens digit of (-3)/(-2) + (-9 - 14007/(-6)) + 6?
3
What is the tens digit of (-3 - (-32855)/5) + 5/((-5)/3)?
6
Let c = 66 - 158. Let x = -76 - c. What is the tens digit of x?
1
Suppose -29 = 4*r - 93. Suppose -2*p = -h - 3*h + r, 4*h - 14 = p. What is the tens digit of (3 + -1)/(h/54)?
3
Let z(a) = 8*a**2 - 14*a - 2. Let q = -121 - -129. What is the units digit of z(q)?
8
Suppose -3*w = 5*i - 23652, 2*i = 496*w - 492*w - 31510. What is the units digit of w?
9
Let d be 0 + 1 - 4 - 45. Let z = d - -6. Let u = -27 - z. What is the tens digit of u?
1
Suppose 0 = -2*p - 2*x + 5608, -3*p - 4*x + 8437 = 28. What is the units digit of p?
7
Let i be 3/1*(5 + -7 - -3). Suppose 46 = 2*j - i*b, -4*b = -2*j + 4*j - 32. What is the tens digit of j?
2
Let u = 10142 - 4964. What is the tens digit of u?
7
What is the tens digit of (878505/105 - 2/(-7))/(5/5)?
6
What is the thousands digit of (-5172 + -3 + (-1 - -3))*(-2)/2?
5
Suppose 2*d - 149 = 4*t + 115, d = -4*t + 114. Let w = d - 31. What is the units digit of w?
5
Suppose 424895 = 138*g - 13*g + 117145. What is the hundreds digit of g?
4
Let x(i) be the third derivative of i**6/60 + 5*i**5/6 - i**4/4 + 16*i**3/3 - 28*i**2. What is the units digit of x(-25)?
2
Let z(h) = 4*h**3 - 18*h**2 - 2*h + 26. What is the thousands digit of z(14)?
7
Let w be (-1)/((-1)/(-24))*27/54. What is the tens digit of -9*4/w - -314?
1
Suppose 3*m - 10*s = -11*s + 26764, 17834 = 2*m + 5*s. What is the thousands digit of m?
8
Suppose -3*j = -p + 2*p - 10, 0 = 2*j + 5*p - 24. What is the hundreds digit of (-5 - -126) + (-3 - -3)/j?
1
Suppose -4*c = -5*b + 31390, 2*c + 15145 + 9973 = 4*b. What is the units digit of b?
2
What is the units digit of (-9823)/(-23) - (-6)/(-69)?
7
Suppose 0 = -2*f - 2*i + 20, 0 = -4*f - i - 2*i + 37. What is the units digit of (1 - 0)/(f/1197)?
1
Let b(i) = i**3 + 17*i**2 - 16*i + 37. Let d be b(-18). Let z(j) = 57*j + 4. What is the tens digit of z(d)?
6
Let k(w) = 4877*w + 274. What is the hundreds digit of k(1)?
1
Suppose 82*v = 127120 + 109942. What is the units digit of v?
1
Let a be 5/5*-22*-386. Suppose -10*z + a = 12*z. What is the hundreds digit of z?
3
Suppose -3*m - 4 = 3*v - 4*v, 3*v = -4*m + 12. Suppose -4*o - 31 + 275 = m. What is the units digit of o?
1
Suppose j + 13 = -z, 0 = -0*j + 4*j - z + 57. Let i be ((-30)/(-8))/(j/(-1736)). What is the units digit of (5/15)/(5/i)?
1
Let y(h) = 3176*h**2 - 6*h - 2. What is the tens digit of y(-1)?
8
Let h be (-12)/(-3)*(-1)/4. Let p be (-3 + 0)*(h + 6/18). Suppose -3*a = -8*a - f + 10, -3*a = p*f - 13. What is the units digit of a?
1
Let c = 12762 + -5784. What is the thousands digit of c?
6
Suppose -4*l = 4, -66 = 2*d - 5*l + 351. What is the hundreds digit of 63 - 67 - d*(1 - 0)?
2
Suppose 2*g + 4*l = 11956, 3*g - 17938 = -61*l + 59*l. What is the units digit of g?
0
Suppose 16583 = 4*f - 3*t, 0 = 5*f - 61*t + 66*t - 20685. What is the hundreds digit of f?
1
Let f(i) = -i**3 - 4*i**2 - 4*i - 7. Let o be f(-5). Let n(l) = -l**3 + l**2 - l + 2. Let j be n(0). Suppose -p + o = j. What is the units digit of p?
6
Let o(x) = -2*x - 8. Let v be o(-5). What is the tens digit of 5 + v/((-8)/(-1324))?
3
Let f(d) = 19*d - 1250. What is the units digit of f(79)?
1
Suppose 0 = y + 2*f + 10, 4*f + 9 = -11. Suppose -8*x + 783 + 1161 = y. What is the tens digit of x?
4
Let p = -56 + 59. Suppose c = p*c - 766. What is the hundreds digit of c?
3
Let n = -165 + 168. Suppose -4*m - n*t + 779 = 0, 3*m = 5*m - 4*t - 362. What is the units digit of m?
1
Suppose 44*c - 161968 = 23*c - 32*c. What is the thousands digit of c?
3
Suppose 2*f + 3*k - 437 = 0, 507 - 67 = 2*f + 4*k. Suppose -v = d - f, -5*d - 1080 = -5*v - 0*v. What is the units digit of v?
5
Let m = 7260 - 2879. What is the units digit of m?
1
What is the tens digit of ((-51)/4)/((1075/(-18600))/43)?
8
Let c(a) be the third derivative of 5*a**4/24 + 59*a**3/3 - 48*a**2 + 1. What is the tens digit of c(-8)?
7
Suppose c + 20*d + 1 = 19*d, 3*c - d - 1 = 0. Let x = 11 + -7. Suppose x*w - 131 = o + 165, c = -2*o. What is the units digit of w?
4
Let f(v) = 2*v + 8. Let x be (0*3/6)/(-1). Suppose -4*a + 9*a - 20 = x. What is the tens digit of f(a)?
1
Suppose -21*n = -9*n - 3048. Suppose -12*f + 802 = -n. What is the units digit of f?
8
Let i(b) = b**3 + 8*b**2 + 9*b - 4. Suppose 4*a = -4*a - 56. Let u be i(a). What is the tens digit of (u/15)/(87/45 - 2)?
1
Suppose 0 = -17*m + 57*m - 399600. What is the tens digit of m?
9
Let k(x) = 11*x**3 - x**2 + 2. Let a be k(3). Suppose 2*y - 2*q - 293 = -7*q, -4*q + a = 2*y. What is the tens digit of y?
3
Suppose 2*b - 46 = -2*m - b, 4*m - 4*b - 112 = 0. Suppose 0*h + 2*z + 144 = 4*h, 0 = h + 2*z - m. What is the tens digit of h?
3
Suppose -11*j + 3209 = 1251. What is the tens digit of j?
7
Let r(x) = x**2 - 13*x + 43. Suppose -4*i = -3*i + 3*u - 5, 3*i = 3*u + 75. What is the hundreds digit of r(i)?
1
Let i = 4452 - 3045. What is the tens digit of i?
0
Let b = -47 + 115. Let x = -36 + b. Suppose -2*d - x = -138. What is the tens digit of d?
5
Let h(t) = t**2 - 5*t + 61. Suppose 0 = o + 45 - 58. What is the tens digit of h(o)?
6
Let u(h) = 0*h + h + 6*h**2 + 6*h**2 - 13*h**2. Let d(m) = -3*m**3 - 2*m**2 - 15*m - 4. Let j(w) = d(w) + 6*u(w). What is the units digit of j(-4)?
6
Suppose 2*x = x + 4*y - 6, 3*y - 1 = x. Let p = 2811 - 2802. Let t = x - p. What is the units digit of t?
5
Let g be 48/(4*(-4)/(-16)). Suppose -p + g = p. Suppose 4*o - p = 104. What is the units digit of o?
2
Suppose -32*n + 6*n = -143130. What is the hundreds digit of n?
5
What is the thousands digit of (-15360)/15*(-8)/8?
1
Let h(w) = w + 11. Let a be h(-7). Let j be (a - 130/5)*1. What is the tens digit of (-8)/(-44) - 2086/j?
9
Let k(l) = -86*l - 2. Let x be k(-10). Let y = x + -304. Suppose g - 178 = -2*m, y = 4*m - 4*g + 210. What is the tens digit of m?
8
Let j = -48 + 57. Let v = -21 + j. What is the tens digit of 1029/28 - 3/v?
3
Suppose 7*z - 36 = -2*z. Suppose 3*f = 4*m - 1000, z*f + 1888 - 637 = 5*m. What is the hundreds digit of m?
2
Let g(x) = 5*x**2 + 48*x - 757. What is the tens digit of g(28)?
0
Suppose 21 - 100 = -d. Let u = d + 262. Let p = -243 + u. What is the tens digit of p?
9
Let z(g) = 10*g - 25 - g - 23*g. What is the tens digit of z(-7)?
7
Let k(c) = -c**3 - 6*c**2 + c + 9. Let y(b) = b**3 - 14*b**2 + 13*b - 6. Let w be y(13). Let o be k(w). Let l = o + 56. What is the units digit of l?
9
Suppose 2*h - 5*x = -0*h + 23, -h + 5*x + 24 = 0. What is the tens digit of (-19)/((3 - (-41)/(-14))*h)?
6
Suppose 32 = 9*w - 22. Suppose d - l = 400, 21 = 5*l + w. What is the units digit of d?
3
Let w(y) = -15*y + 64. Let j(f) = -f**3 - 13*f**2 - 13*f - 37. Let b be j(-12). What is the tens digit of w(b)?
3
Let j be -106*1/((-10)/35). Suppose -5*a = -i - 461, 0 = -a - 3*a + 3*i + j. What is the tens digit of a?
9
Suppose -2*v + 220 = 3*n, -4*v = -0*n + 2*n - 456. Let j(t) = -2*t - 1. Let z be j(12). Let q = v + z. What is the units digit of q?
1
Let f(o) = 15*o**3 + o**2 - o - 2. Let u be f(-1). Suppose -3*q + 156 = -q. Let m = q + u. What is the units digit of m?
3
Suppose z + 2*v + 3 = 0, -5*z - 5*v = -0 - 5. Suppose -4*w - z*f + 630 = 0, -2 = -4*f + 6. What is the units digit of w?
5
Let f be (88/(-220))/((-2)/(-10)). Let h(d) = -69*d + 7. What is the units digit of h(f)?
5
Suppose 3*v + 3*b + 0*b - 10911 = 0, 0 = 3*v - 4*b - 10897. What is the units digit of v?
5
Let x = 181 - -12. Suppose -142*j - x = -143*j. What is the units digit of j?
3
Let b(d) be the second derivative of 5*d**4/12 + d**3/3 + 5*d**2/2 - 17*d - 2. What is the tens digit of b(-3)?
4
Let n(c) = c - 110. Let a be n(-10). What is the tens digit of ((-1638)/(-65))/((-9)/a)?
3
Let m(b) = -3*b**3 - b**2 + 2*b - 1. Suppose 0 = 2*q + 4 - 6. Let i be m(q). Let t(n) = -n**3 + n**2 + 2*n + 8. What is the tens digit of t(i)?
3
Suppose -p - 16 = -i + 2*p, 2*i + 3*p + 4 = 0. Suppose -i*r + 548 - 116 = 0. What is the tens digit of r?
0
Let s(n) = -5*n + 20. Suppose -5*p - b - 48 = 4, p = 5*b - 26. What is the tens digit of s(p)?
7
Let n(w) = -w**3 + 42*w**2 + 3*w - 126. What is the tens digit of n(20)?
3
Let u be (5/6)/((-3)/(-18)). Suppose -2*o + u*o = 423. What is the hundreds digit of o?
1
Suppose -u - 6 = 2*n, 3*n = -u - 0*n - 11. Let k be 582/u*(-3 - -5). Suppose -4*h + h + k = 0. What is the units digit of h?
7
Let b = 18048 + -10322. What is the hundreds digit of b?
7
Let f(m) = 136*m**2 - 503*m + 7. What is the hundreds digit of f(9)?
4
Let b be (-4)/(-10) + (2/(-5) - -2). Suppose -b*c = -3*c + 7. Let l(x) = -x**3 + 9*x**2 - 11*x. What is the units digit of l(c)?
1
Let s = -85 - -90. Let g(u) = 3*u**3 - u**2 + 14*u. What is the units digit of g(s)?
0
Suppose -15*g + 15573 + 7193 = -8389. What is the units digit of g?
7
Let x(y) = 42*y - 98. Suppose -5*m + m = 2*n - 32, 32 = 2*m + 5*n. What is the tens digit of x(m)?
5
Let r be (-3)/((-3)/35) + 0. Let x = 2049 + -2056. What is the tens digit of (-10)/r + (-408)/x?
5
Suppose -5*z - 11 + 26 = 0. Suppose z*l + 2*c - 627 = -0*l, 4*l - c - 836 = 0. What is the units digit of l?
9
Suppose -7*f + 136 = -1068. Suppose -s + 34 + f = 0. What is the units digit of s?
6
Let w = 3769 - -1168. What is the units digit of w?
7
Suppose 5*g - 3509 = d + 15960, 5 = 5*d. What is the thousands digit of g?
3
Suppose 0 = -10*l - 89 + 489. What is the hundreds digit of (-91)/2*5*(-32)/l?
1
Suppose 3*y + 15 - 24 = 0. Suppose -3*r = z - 504, -3*r = -8*z + y*z - 522. What is the units digit of r?
9
Let h = 116 + -112. Suppose -2*j + j = -q - 362, h = -4*q. What is the units digit of j?
1
Let q(s) = -47*s + 45. Suppose -4*g = 4*v + 40, -9*v - 2*g - 38 = -4*v. What is the units digit of q(v)?
7
What is the hundreds digit of 635902/85 + 24/30?
4
Let z be (-4*(-35)/(-10))/((-2)/1). Suppose -m - 4*n = -207, 0 = -4*m - z*n + 2*n + 883. What is the hundreds digit of m?
2
Suppose -3*o - 8876 = -4*c, 0 = 3*c - 2*o - 3216 - 3441. What is the tens digit of c?
1
Let v be (37/3 + 1)*(-4 - -1). Let h = v + 56. What is the tens digit of 14/21*(-1 + h)?
1
Let q = -4 - -19. Let d be (q - 16)*(0 - 0 - -105). Let y = d - -178. What is the tens digit of y?
7
Let n be 7/2 - (-3)/(-6). Suppose 0 = -v + 2*b + n*b + 270, -2*v + 562 = b. Suppose r + 3*r = v. What is the tens digit of r?
7
Let v(p) = -3*p + 2. Let o be v(-3). Let x = o + -3. Suppose x*h = 420 + 260. What is the tens digit of h?
8
Let h(v) = v + 1. Let s(w) = -3*w**2 + 2*w - 7. Let n(m) = -3*h(m) - s(m). Let q be n(2). Let x = 17 - q. What is the tens digit of x?
1
Let a be 986/10 + 16/40. Let h be (1 - (-2)/(-3))/(1/a). Suppose 5*n - h = 387. What is the units digit of n?
4
Suppose 15*h + 78 = 12*h. Suppose 0 = -a - a - 14. Let f = a - h. What is the tens digit of f?
1
What is the thousands digit of 1569 + 3 + (10 - 9)?
1
What is the tens digit of (60130/25 - -8)/(9/30)?
4
Let n be (7 + -1)/(34/33371). Suppose 10*b - n = -1409. What is the hundreds digit of b?
4
Let s(d) = -2*d - 45. Let m(r) = -2*r - 43. Let g(w) = 3*m(w) - 4*s(w). What is the units digit of g(19)?
9
Suppose -16*u + 21*u - 4*d - 3762 = 0, -d - 3003 = -4*u. What is the tens digit of u?
5
Suppose 4*o - 5*h + 779 = 0, 0 = 5*o - 5*h + 62 + 908. Let t = 70 - o. What is the hundreds digit of t?
2
Let a = 761 + 3008. What is the thousands digit of a?
3
Let b be 182/6 + (-14)/42. Suppose b + 70 = h. What is the hundreds digit of h?
1
Let l be 3/(-6)*(6 - 0). Let r be (-1)/(1/l + (1 - 1)). Suppose -r*n + 30 = 2*n. What is the units digit of n?
6
Suppose -21*x + 3*x - 5722 = -94408. What is the tens digit of x?
2
Suppose 0 = 34*u + 90*u - 269824. What is the thousands digit of u?
2
Let d = -224 + 182. What is the hundreds digit of (-12)/(-9) + (-9436)/d?
2
Let w(k) = -7*k + 50. Let l be w(6). Let r(t) = -2*t**3 + 19*t**2 + t - 14. What is the tens digit of r(l)?
8
Suppose 4*x - 9 - 39 = -3*i, -37 = -5*x + 2*i. Suppose 1235 = 10*q + x*q. What is the tens digit of q?
6
Let g(b) = -b - 11. Let m be g(-5). Let q be -3 - 1*(-4)/(-3)*m. Suppose 4*x - 255 = -q*c, 5*x + c - 309 = -2*c. What is the units digit of x?
0
Suppose 93*v = 172*v - 400372. What is the thousands digit of v?
5
Let b = -9 - -13. Suppose 7*u - 3126 = -25. Suppose -4*l = 4*x - 352, -l - b*l - 4*x = -u. What is the units digit of l?
1
Let j(b) = 3*b**3 - 8*b**2 + 10*b - 11. Let v be j(6). Suppose 3*c - 4*c - 3*h = -v, 1213 = 3*c + 2*h. What is the hundreds digit of c?
4
What is the tens digit of 96/18 + -6 + 151606/51?
7
Let v = 242 + -316. Let g be (1*-3)/(1/38). Let p = v - g. What is the tens digit of p?
4
Let p(y) = -y**3 - 2*y**2 + 6*y - 1. Let d be p(-5). Let x = -39 + d. Suppose 0*m - x*i = -3*m + 176, 2*m = -5*i + 134. What is the tens digit of m?
6
Suppose 9*y + 13*y = 66. Suppose -o = -4*q + 1455, -4*o - 9 = y. What is the hundreds digit of q?
3
Suppose 0 = -3*x + 3*a + 11616, 3487 - 19007 = -4*x - 4*a. What is the tens digit of x?
7
Let w(d) = 741*d + 896. What is the tens digit of w(7)?
8
Let v = -4516 - -13125. What is the thousands digit of v?
8
Let g(q) be the third derivative of -q**6/60 - q**5/12 + q**4/8 + q**3 - 25*q**2. What is the units digit of g(-7)?
6
Let k be 2/(-4)*(-32 + 24). Suppose -3*f + 932 = k*s, -3*f + s - 1525 = -8*f. Suppose -f = -2*i - 2*i. What is the tens digit of i?
7
Suppose -4*u = 15*d - 19*d - 29832, u = -5*d + 7428. What is the hundreds digit of u?
4
Let a(l) = 6*l**2 - 3*l. Let m be a(2). Suppose 12*n - m = 114. What is the tens digit of n?
1
Let z be (144/(-20) - -7) + 136/5. Suppose 7*x + 6600 = z*x. What is the tens digit of x?
3
Let t(v) = 3*v - 34. Let b be t(12). Let f(q) = b*q + 6*q**2 - 59*q**3 + 2*q**2 - 7*q**2 + 2 - 2*q**2. What is the units digit of f(-1)?
8
Suppose 4*v - a = 3, -5*v + 0*a = -a - 3. Suppose -2*b + 9 - 1 = v. Suppose 0 = -4*r - l + 201, 4*l - b = 4*r - 200. What is the units digit of r?
0
Let w(h) = -h**2 - 15*h + 26. Let m be w(-17). Let t be 495/18*m/(-5). What is the units digit of (-6)/33 - (-1856)/t?
2
Let a be 2/(-10) + 121/55. Suppose -5*f + 1669 = 4*i, -i - a*f - 2*f + 420 = 0. What is the tens digit of i?
1
Suppose 59 + 26 = -5*x. Let h(z) = 2*z**2 + 26*z + 67. What is the hundreds digit of h(x)?
2
Let h = -28 - -26. What is the units digit of (h/(-4))/(29/26042)?
9
Let j = 5982 + 2589. What is the tens digit of j?
7
Let c(g) = -g**3 + 16*g**2 + 5*g - 19. Let n be 6/21 - (-19)/7. Suppose q - 32 = -4*m, 0 = -n*q - 5*m + 24 + 44. What is the units digit of c(q)?
1
Let g(y) = y**2 - 8*y + 2. Let r be g(6). Let k(o) = -40*o - 16. Let n be k(r). Suppose -3*h - 2*x = -6*x - 290, 4*x = 4*h - n. What is the units digit of h?
4
Suppose -32*p - 16*p + 56610 - 12546 = 0. What is the hundreds digit of p?
9
Suppose -15897 = -2*a + 9*t - 8*t, 5*t = -a + 7976. What is the tens digit of a?
5
Suppose 5*g - 5*x - 17485 = 0, 0 = -3*g + g - 5*x + 6973. What is the tens digit of g?
9
Let p be 10/(-4)*4*219/(-6). Let g = -128 + p. What is the hundreds digit of g?
2
What is the tens digit of (3 + 4993/(-4))/(71/(-568))?
6
Suppose 0 = 5*f - 118 - 492. Suppose 20*c = 8*c + 576. Suppose -2*y + f = c. What is the units digit of y?
7
Suppose -14 - 10 = -6*t. Suppose 17 = l + 4*k, -3*k + 6*k = -t*l + 29. Suppose -119 = -l*a + 126. What is the units digit of a?
9
Let l(d) be the third derivative of d**4/12 + 7*d**3/3 + 8*d**2. Let f be l(-6). Suppose -f*c = -4*c - 5*x + 119, -5*c + x = -284. What is the tens digit of c?
5
Suppose 2*u + 4*p = 22, -5*p + p + 19 = u. Let z(f) = -3 - 4*f + 3*f**2 + f**u + f**2 - 2*f + 5*f. What is the units digit of z(2)?
9
Let w be -4 + (-12)/(-4) - -4. Suppose -g + 9 = w. Suppose 4*j = -j - 5*k + 445, 0 = 3*k - g. What is the tens digit of j?
8
Let b = -10190 - -18064. What is the hundreds digit of b?
8
Suppose 3*z - 14*p + 19*p = 3327, -3*z + 3306 = -2*p. What is the thousands digit of z?
1
Let l(v) = v + 4. Let y be (-6)/(-2) - (-72)/(-8). Let w be l(y). What is the units digit of (-27 - -6)*w/6?
7
Let b be (-274)/8 - 2/(-8). Let k = b - -42. Let h = 42 - k. What is the units digit of h?
4
Suppose -3865 = -5*p - 3*k, -4*k - 15 - 5 = 0. Suppose 3 - 1555 = -4*g + l, 2*g - p = 2*l. What is the tens digit of g?
8
Suppose 147*j - 136126 = 89*j. What is the hundreds digit of j?
3
Let u = 75 - 69. Suppose -1357 = -5*x - 3*l, 2*l + 540 = 2*x + u*l. What is the hundreds digit of x?
2
Suppose 4*r - 3*r + 269 = 5*o, -4*o = 2*r - 218. Suppose o + 442 = 4*v. What is the tens digit of v?
2
Let y(f) = -3*f + 164 + 86 - 4. Let w be y(0). Let d = w - 160. What is the tens digit of d?
8
Let c be (24/(-15)*-1)/(18/7875). Suppose 2*p - 701 = -7*y + 4*y, 2*p + 2*y - c = 0. What is the hundreds digit of p?
3
Let k be -2*(-9)/(-12)*-2. Let r be 193 - 1/3*k. Suppose 6*t = 4*t + r. What is the tens digit of t?
9
Let t(r) be the third derivative of 7*r**5/60 - r**3/2 - 6*r**2. Let j = -86 - -83. What is the units digit of t(j)?
0
Suppose -14*a = 132*a - 30096 - 278548. What is the units digit of a?
4
Let r = 17336 - 8136. What is the tens digit of r?
0
Suppose u - 856 = 5*c + 29, u - 920 = -2*c. What is the hundreds digit of u?
9
What is the tens digit of ((-1610)/575)/((-3)/(-13035)*-2)?
8
Suppose 348*x - 99580 = 296*x. What is the units digit of x?
5
Suppose 22*x - 138 = 10444. What is the tens digit of x?
8
Let y(i) = 21*i**3 + 6*i**2 - 8*i - 8. What is the units digit of y(2)?
8
Let j(t) = 54*t - 126 - 5*t - 105*t. What is the tens digit of j(-8)?
2
Suppose -8*z - 2046 = -358. Let j = 375 + z. What is the hundreds digit of j?
1
What is the thousands digit of (-1786059)/(-187) - ((-10)/17)/(-5)?
9
Let g(o) be the third derivative of -37*o**4/12 - 11*o**3/3 - 28*o**2. What is the hundreds digit of g(-4)?
2
Suppose -5*o + 1180 = -0*h + 4*h, 2*h + 1210 = 5*o. Let k = o - 7. What is the hundreds digit of k?
2
Suppose 12*l + 0*l - 63153 = 3*l. What is the hundreds digit of l?
0
Let b(c) = -c**3 - 19*c**2 + 14*c - 452. What is the hundreds digit of b(-29)?
5
Let k = -14369 - -20541. What is the hundreds digit of k?
1
Let w = 3337 + -3304. What is the tens digit of w?
3
Suppose -54137 = 75*b - 278837. What is the tens digit of b?
9
Let q(f) be the first derivative of 1/4*f**4 + 0*f - 5/2*f**2 - 2*f**3 - 10. What is the tens digit of q(7)?
1
Suppose -4*f = 11*l - 13*l - 232, 2*f - 110 = 4*l. What is the tens digit of (29 + f)/(-1 + 1 - -2)?
4
Let n(u) = 9*u**3 - 19*u**2 - u - 5. Let q(v) = 8*v**3 - 18*v**2 - v - 5. Let o(w) = -6*n(w) + 7*q(w). What is the tens digit of o(7)?
8
Let c(z) = 10*z**2 + 74*z + 981. What is the units digit of c(-31)?
7
Let r be (2/(-8))/((-18)/936). Suppose 2148 = -r*s + 19*s. What is the units digit of s?
8
What is the hundreds digit of ((2 - 0) + 0)*983556/216?
1
Let u be (6/12)/(3/48). Let i = u - 5. Suppose -i*g = -m - 26, g + m = -m - 3. What is the units digit of g?
7
Suppose 4482 = i - 4*b, -4*b + 19418 - 1410 = 4*i. What is the units digit of i?
8
Let r(j) = -15*j**2 + 7*j + 26. Let f(l) = -16*l**2 + 6*l + 27. Let c(y) = 3*f(y) - 4*r(y). What is the units digit of c(-4)?
9
Let p be 2*6/(-30)*-10. What is the units digit of -2 - (p/(-12) + (-1114)/6)?
4
Let o be 1 - (-1 - 0)*1. Let l be 40/30*147/2. Let i = l + o. What is the tens digit of i?
0
Let d(v) = 58*v**3 + 6*v**2 + 6*v - 13. What is the hundreds digit of d(4)?
8
Let l(s) = 62*s**2 - 26*s + 1. Suppose 5*b = -4*d - 3, 4*d - 3*b + 3 = -8. What is the tens digit of l(d)?
0
What is the units digit of 49 + 2758 + 9*-1?
8
Suppose -46*l - 408 = -114*l. What is the units digit of l?
6
Let g = -3247 + 4656. What is the tens digit of g?
0
Let s be (-544)/(-18) + (-2)/9. Let i be (24/(-10))/(-1) + (-12)/s. Suppose 5*a - 4*x = 495, -2*a + 187 = x + i. What is the units digit of a?
5
Let r(f) = 7*f**3 + 3*f**2 - 5*f - 1. Suppose 37*c - 38*c = -3. What is the tens digit of r(c)?
0
Let m(x) = -3*x**3 - 27*x**2 + 2*x - 59. What is the units digit of m(-10)?
1
Let x = 586 + -584. Let d be 6/(-4)*(-30)/9. Suppose -d*q = -v - 253, -1 = v + x. What is the tens digit of q?
5
Suppose 0 = -85*s + 86*s + 2*h - 7532, -3*h = -2*s + 15029. What is the thousands digit of s?
7
Let z be (-24)/(7*21/98). Let l(d) = -2*d**2 - 3*d + 6. Let p be l(6). What is the tens digit of (p/z)/1*8?
4
Let l be ((-2)/(-3))/(1/(-24)*-4). Suppose -j = -3*n - 40, -l*n + 3*j - j = 52. Let x(s) = s**3 + 15*s**2 + 14*s + 9. What is the units digit of x(n)?
9
Let s(x) = -291*x + 10 - 250*x + 504*x. What is the hundreds digit of s(-8)?
3
Suppose -4*z - 187 = -5*z. Let j = z - 124. Suppose -2*c = -u - 126, c - j = 5*u - 0*u. What is the units digit of c?
3
What is the thousands digit of (-194145)/(-28) + (0 - 2) + 7/28?
6
Let d = -1105 - -3577. What is the hundreds digit of d?
4
Let n be 1/2 - 98/(-4). Suppose 5*x - 819 = -16*x. Let r = x - n. What is the tens digit of r?
1
Let s be (-6)/8 + (-55)/(-20). Suppose -3*h + 11 = b, -h + 13 = 3*h + b. Suppose s*j = 3*g - 3*j - 103, 5*j + 67 = h*g. What is the units digit of g?
6
Let b = 72 - 26. Let z = b + -43. Suppose 0 = -z*d + 219 - 30. What is the tens digit of d?
6
Let g be 4 + (-4 - -3 - -179). Let x = g - 107. Suppose 3*k - x = -2*k. What is the units digit of k?
5
Suppose -3*f - 16 = -2*j - f, 2*f = j - 13. Suppose 0 = -5*d - j*v + 32, -16*v + 14*v = 2*d - 12. What is the units digit of d?
7
Suppose 4 + 17 = 3*v. Let p = v - -2. Suppose -p*c = -0*c - 153. What is the tens digit of c?
1
Suppose 2*a + h - 9 = 0, -5 = -a - 3*h + 12. Suppose 5*c - 3 = 5*j + 7, a*c - 5*j - 10 = 0. Suppose c*l = -2*l + 122. What is the tens digit of l?
6
Let m = 62 - 41. Suppose 20*o - m*o = -29. What is the tens digit of o?
2
What is the hundreds digit of (-146007)/(-21) - (13 + -11)*2/(-14)?
9
Let h be (-5)/(-10)*1*-2. Let f(d) = -5*d**3 + d**2 - d - 1. Let g be f(h). Suppose 5*k + 2*t - 403 = 0, g*k - 410 = k + 5*t. What is the tens digit of k?
8
Suppose -2*o - o + 122 = 5*x, 5*o = x - 2. Let s be (-1 - -2)/(8/(-12))*x. Let p = s + 128. What is the units digit of p?
5
Let l = 22 + -21. What is the hundreds digit of ((-48)/48)/(l/(-107))?
1
Suppose -2*w + 94 = n, 7*n = -5*w + 2*n + 225. Let h = w - 43. Suppose -h*c = -5*c - 35. What is the tens digit of c?
3
Let a(y) = -y**3 - 24*y**2 + 27*y + 26. Let o be a(-25). What is the tens digit of (o/(-42))/(3/2247)?
2
Let r(z) = 2*z - 17. Let d be r(-7). Let w = -31 - d. What is the units digit of (-4)/(8/(-100) - w)?
0
Suppose -b + 1262 = 2*n - 7*n, -2*b + 2524 = 2*n. Suppose -b - 814 = -6*d. What is the tens digit of d?
4
Let y(d) = -d**3 - 9*d**2 + 28*d + 12. Let i be y(-11). What is the tens digit of 2930/12 - (-9)/i?
4
Let k(u) = -u**2 + 3*u + 2*u**2 + 21 - u. Let p be k(0). Let j = p + -11. What is the tens digit of j?
1
Let b(i) be the first derivative of -i**4/4 - i**3/3 + 3*i**2 + i - 5. Let w be b(3). Let m(s) = s**3 + 16*s**2 - 19*s - 15. What is the units digit of m(w)?
9
Let g = -56 - -38. What is the tens digit of (g/6 + 0)*-84?
5
Let d be ((-1924)/(-10))/((-20)/(-50)). Suppose 7*z = -6*z + d. What is the units digit of z?
7
Let f = -358 + 226. Let h = -96 - f. What is the units digit of h?
6
Let v(g) be the first derivative of -g**3/3 + 21*g**2 + 9*g - 15. Let d be v(18). What is the units digit of (-1 + 1)/1 - d/(-9)?
9
Let d(o) = -52*o - 59. Let c = -78 - -70. What is the tens digit of d(c)?
5
Suppose -134354 + 284323 = 87*k - 367333. What is the tens digit of k?
4
Let c = -49 + 50. What is the tens digit of (c + -7)*1*60/(-9)?
4
Let y(l) = -3*l**2 + l - l**2 - 3*l**2 + 14*l**2 + 2. Let m be y(-1). Suppose m*c - 167 - 217 = 0. What is the tens digit of c?
4
Let q(w) = w**2 + 20*w - 70. Let z be q(-20). What is the units digit of 88/6 + (z/15 - -4)?
4
Let i be (-3 - 16) + (2 - 0). Let z(l) be the second derivative of l**3/6 + 37*l**2/2 + 7*l. What is the tens digit of z(i)?
2
Let s = 32 - 30. Suppose -20 = -w + 4*i - 5, 3 = -s*w - 3*i. Suppose -r = -6*r - 3*h + 51, -w*r + 5*h = -51. What is the units digit of r?
2
Let c(w) = -w**2 + 9*w - 15. Let k be c(6). Suppose 4*x + 1023 = k*u, 17*x + 9 = 14*x. What is the tens digit of u?
3
Let m(t) = -t. Let w(d) = d**2 - 6*d - 2. Let c(i) = -4*m(i) - w(i). Let b be c(10). What is the units digit of 2 - (-18 + 2)*b?
4
Let c(t) = -194*t - 26. Let l be c(2). Let v = -294 - l. What is the hundreds digit of v?
1
Let v = -33 - -54. Suppose -5*b = -4*n - 18, -3*n - 2*b = -5*n - 10. Let g = n + v. What is the tens digit of g?
1
What is the hundreds digit of ((-50)/(-8))/(-6*(-7)/62664)?
3
Let c = 5350 + -2520. What is the units digit of c?
0
Let c = -20 + 32. Suppose -16*l + c*l = -12. Suppose -5*z = -n - 262, -65 = -2*z - l*n + 33. What is the tens digit of z?
5
Let s(a) = 25*a**2 - 5*a - 1. Let b(h) = 3*h - 5. Let o be b(3). What is the hundreds digit of s(o)?
3
Let o = -7958 - -14881. What is the hundreds digit of o?
9
Let g = 18972 - 9281. What is the tens digit of g?
9
Suppose 7*j - 2*j = -f + 544, 0 = 3*f - 3*j - 1650. Let t = f + -92. What is the tens digit of t?
5
Suppose 2*k = 5*k - 801. Suppose 4*i = -3*h - k, 2*h + 98 = i - 91. Let j = -11 - h. What is the tens digit of j?
8
Let a(r) be the second derivative of -r**4/6 + 3*r**3 - 3*r**2/2 + 4*r. Let j be a(6). Suppose 53 + j = d. What is the units digit of d?
6
Let c(w) = 28*w - 2. Let b be c(-1). Let m be (-20)/b*6/4. Let f(i) = 100*i**2 - 3*i + 2. What is the tens digit of f(m)?
9
Let c = 191 + 6223. What is the units digit of c?
4
Let d = 725 + -1370. Let b = d + 1090. What is the hundreds digit of b?
4
Let w(n) = -197*n - 12. Let l be w(-4). Suppose -l = -10*y + 8*y. What is the tens digit of y?
8
Let r be (-4)/8*0 + -15. Let o = -17 - r. What is the tens digit of 6/o*10/(-3)?
1
Let c = 914 + -916. Suppose 3*j + 0*s - 2*s = 22, 4*j - 16 = -4*s. Let b = c + j. What is the units digit of b?
4
Let r(m) be the first derivative of -m**4/4 + 14*m**3/3 + 11*m**2/2 - 20*m + 14. Let x be r(15). Let z = x - -163. What is the units digit of z?
3
Let j(c) be the first derivative of -5*c**3/3 + 4*c**2 - c - 2. Let r be j(6). Let i = 218 + r. What is the units digit of i?
5
Let b(d) be the first derivative of -d**2/2 + 21*d + 3. Let m be b(19). Suppose m*l = w + 165 - 8, -2*w = 3*l - 239. What is the tens digit of l?
7
Suppose 237*x - 247*x + 40590 = 0. What is the tens digit of x?
5
Suppose -5*v - 6 = 4, 0 = 4*a + 5*v - 6. Suppose 1528 - 266 = 5*l - 3*t, a*t = 5*l - 1266. What is the hundreds digit of l?
2
Suppose 46*p - 248595 - 30871 = -35022. What is the units digit of p?
4
Let r = 17517 + -10031. What is the thousands digit of r?
7
Suppose 17*v + 24*v - 8*v = 129129. What is the units digit of v?
3
Let z be ((-12)/(-9) - -2)*-3. Let q be (-1 + 141)/(24/48). What is the units digit of 76*(z/q + 4/14)?
9
Let j = 8960 + -6156. What is the tens digit of j?
0
Suppose 6*o + 710 = -4. Let q(t) = -4*t**2 + 4*t - 2. Let d be q(3). Let g = d - o. What is the units digit of g?
3
Let q = 4334 + -2650. Suppose -16*s + 7828 = q. What is the hundreds digit of s?
3
Suppose -6*x + 626 = -658. Suppose 1780 - x = 6*i. What is the hundreds digit of i?
2
Suppose 4*g + 61*p - 64*p - 26120 = 0, 0 = -g - 2*p + 6530. What is the hundreds digit of g?
5
Suppose -w + 2304 = -3*a - 2137, a - 17751 = -4*w. What is the tens digit of w?
3
Suppose 0*j - j = 1. Let l(i) = -65*i**3 + 0*i**2 + 20*i**3 + 2*i + 1 - 37*i**3 + 2*i**2. What is the units digit of l(j)?
3
Suppose 17*c = -4*c + c + 104380. What is the hundreds digit of c?
2
Let u be ((-24)/30)/(4/(-170)). Let b be (-6)/5*(-30)/12. Suppose -s = -b*s + u. What is the tens digit of s?
1
Suppose -3*k = 4*h - 17962, 0 = 3*k + 16*h - 20*h - 17978. What is the units digit of k?
0
Let x(q) = -q**3 - 8*q + 28. Let d be x(0). What is the tens digit of (d + -214)*1/(-3)?
6
Let a(o) = 2*o**2 - 14*o + 7. Let q(w) = 6*w**2 - 42*w + 20. Let k(i) = -14*a(i) + 5*q(i). Let j be k(7). What is the tens digit of 8/j - (-150)/2?
7
Suppose -22*r + 65*r - 128226 = 0. What is the thousands digit of r?
2
Let v(s) = -11*s - 7. Suppose k + 6 = 3*k. Suppose 1 - 10 = k*z. What is the units digit of v(z)?
6
Let h(g) be the third derivative of g**4/6 - 11*g**3/3 + 6*g**2. Let a be h(6). Suppose 2*f + 208 = 5*p, 2*f = a*p - 13 - 69. What is the tens digit of p?
4
Suppose -11*x + 9 = 2*a - 10*x, -a + 3 = -x. Suppose 5*m = -4*t + 917, a*m - 3 = 17. What is the units digit of t?
3
Let i = 328 - 220. Suppose -10*c = -8*c - i. What is the tens digit of c?
5
Suppose 9623 = -42*r + 45*r - 5*z, 3*z + 16017 = 5*r. What is the thousands digit of r?
3
What is the thousands digit of 1/(-4) - 322/(-168)*849?
1
Let m(v) = -4 + 6*v - 5 + 13 + v**2. Let i be m(-3). Let y(b) = -9*b - 22. What is the tens digit of y(i)?
2
Let u(y) = -3*y**2 + 4*y + 11. Let h(f) = f. Let g(s) = 4*h(s) - u(s). Suppose o - x = 1 - 3, -3*x = o + 18. What is the units digit of g(o)?
7
Suppose 2*n = -m + 9, -n + 21 = 5*m - 3*n. Let f = 1495 - 1432. Suppose -317 = -4*d + 5*p, -m*p + f = d - 10. What is the units digit of d?
8
Let v = -16654 - -23664. What is the hundreds digit of v?
0
Suppose 4*w + 491 = 5*x - 557, x = 3*w + 214. Let o(n) = 70*n. Let k be o(-2). Let u = x + k. What is the units digit of u?
8
Let l(n) = 3*n**3 - 27*n**2 - 9*n - 5. Let q(d) = 2*d**3 - 14*d**2 - 5*d - 3. Let h(b) = 3*l(b) - 5*q(b). What is the units digit of h(-11)?
2
Suppose 161*s + 1656 = 82*s + 87*s. What is the units digit of s?
7
Suppose 5*g + 15 = 0, -37*g = 4*s - 36*g - 1105. What is the units digit of s?
7
Suppose 5*x - 2*r + 32 = 0, 0 = -3*r + 8*r - 5. What is the units digit of 3/x + (-1532)/(-8)?
1
What is the units digit of 6/((-360)/(-356196)) - (-6)/(-10)?
6
Let a = -4 - -4. Suppose -5*s + 2*u = -40, 3*s - 4*u + 8 - 46 = a. Suppose 8 = s*d + 2. What is the units digit of d?
1
Suppose -2*n = 3*l - 141 - 50, -201 = -3*l + 3*n. Let h be l/(-25)*3*-5. What is the units digit of 26/h + (-596)/(-6)?
0
Suppose 9*z + 8*z - 867 = 0. Let u = 76 - z. What is the units digit of u?
5
Suppose -201*q = -224*q + 185840. What is the thousands digit of q?
8
Let z = -138 + 135. What is the tens digit of (65/(-25) - z) + 318/5?
6
Let g = 2 + 0. Let o(k) = 1 + 8*k**g - 2*k - 19*k**2 + 27*k**2. What is the tens digit of o(-2)?
6
What is the thousands digit of (-20 - 320/(-8))*907/4?
4
Let k be ((-18)/63)/((-3)/42). Suppose 2*y + 4*g + 70 = 0, k*y - 2*g + 166 + 24 = 0. What is the tens digit of (y/(-2))/(2/(20/5))?
4
Suppose -7*v = 3*v + 2*v. Suppose -h - 4*t = -428, v = -3*h - 4*t + 1140 + 184. What is the units digit of h?
8
Let m = -36 - -38. Suppose -3*o + 5*w = -27, 4*o = -w + 57 + m. Let r = o - -19. What is the tens digit of r?
3
Let f(p) = 373*p + 1571. What is the tens digit of f(13)?
2
Let n(i) = 3*i**3 + 129*i**2 - 96*i + 27. What is the thousands digit of n(-43)?
4
Let v = -153 + 156. Suppose -v*r + 200 = -r - 3*g, -5*r - 2*g = -538. What is the units digit of r?
6
Suppose -5*u = -s, 2*s + 0*s - u = 18. Let d(r) = 4*r**3 - 9*r**2 - 8*r - 23. Let o be d(s). What is the units digit of o/33 + 4/22?
1
Let t = -1816 + 2077. What is the hundreds digit of t?
2
Let g = 9986 - 3471. What is the hundreds digit of g?
5
Let i(u) = 7*u + 25. Let t be i(7). Let n = 350 + t. What is the hundreds digit of n?
4
Suppose 759 = 3*n + 2*n - 3*g, 2*n - 2*g - 306 = 0. What is the hundreds digit of (-162)/5*(-2000)/n?
4
Suppose -4*j + 5*q + 0*q + 7 = 0, -4*j + 3*q + 9 = 0. Let z(u) = 9*u + 8*u**3 - j - 5*u**3 - 4*u**3 + 8*u**2. What is the units digit of z(8)?
9
Suppose 100*l - 559674 = -77*l. What is the tens digit of l?
6
Let l = -2 - -3. Let v = 1 + l. What is the units digit of v - (-96)/9 - (-2)/6?
3
Let t(v) be the first derivative of -v**5/20 - v**4 + 11*v**3/6 + 7*v**2 - 5*v + 4. Let c(q) be the first derivative of t(q). What is the tens digit of c(-13)?
4
Let k(t) = t**3 - 16*t**2 + 185*t - 38. What is the hundreds digit of k(22)?
9
Suppose 2*l - 24 = -4*m, 2*l + m + 21 = 3*l. What is the tens digit of ((-6)/l)/((-2)/6) - -225?
2
Let a = 1257 + 439. Suppose -a = 11*q - 15*q. Suppose -10*d = -6 - q. What is the tens digit of d?
4
Let w be 9/(-18)*(1 - 1). Suppose 2*o = -4*p + 12, 5*p = -3*o - w*p + 17. Suppose -3*f + 217 = o*f. What is the units digit of f?
1
Let t(c) = 7*c**3 + 2*c**2 - 20*c + 4. Let p(b) = 2*b**3 + b**2 - 1. Let l(j) = 3*p(j) - t(j). What is the tens digit of l(-8)?
0
Suppose 5*n + 4*m - 3140 = 0, 49*n - m + 629 = 50*n. Suppose 0 = -2*t + t - 6. What is the units digit of ((-1)/2)/(t/n)?
2
Let q = 27 - 14. Let d = q + -14. What is the units digit of (-47 - d)*2/(-2)?
6
Let g(f) = 5 - 4 - 3 + 3. Let x(q) = -q - 24. Let v(o) = -2*g(o) - x(o). What is the tens digit of v(22)?
4
Let b(u) = u**3 + u + 3. Let i be b(0). Let t be (-156)/(-9) + (-1)/i. Let p = t - -4. What is the tens digit of p?
2
What is the thousands digit of 174*53 + (-2 - -8 - (21 + -11))?
9
Suppose -286*y - 109993 = -309*y + 71523. What is the hundreds digit of y?
8
Suppose 2129 = 53*m - 2906. Let y be (88/12)/((-1)/3). Let g = m + y. What is the units digit of g?
3
Let y(p) = -61*p**3 + p**2 - 19*p - 9. What is the hundreds digit of y(-5)?
7
Suppose 2878 = 2*b - 4*i - 1092, -3*i = -b + 1987. Let h = b + -1401. What is the units digit of (-8)/12 + h/6?
6
Let s = 3829 - -3288. What is the thousands digit of s?
7
Let c = -1451 + 1830. What is the hundreds digit of c?
3
Let w be (3 + (5 - 13))*1*-1. Suppose -2*f + 3*h = 32, -118 = w*f - h + 3*h. Let k = f + 48. What is the tens digit of k?
2
Suppose 7*m - 28 = 35. What is the units digit of (3 - 6) + (m - -304)?
0
Let y(n) = 7 - 7 + 17*n + 8*n. Suppose -2*v - 9 = -3*k - 4*v, 0 = 5*k - v - 2. What is the tens digit of y(k)?
2
Let f = 287 - 213. Suppose 0 = h - 5*h + 104. Let v = h + f. What is the tens digit of v?
0
Suppose -23*i - 27361 + 145696 = 0. What is the thousands digit of i?
5
Suppose 259*k - 3 = 258*k. What is the tens digit of 0 + k - (-267 + 11)?
5
Suppose 7*f + 705 + 86 = 0. Let o = -30 - f. Suppose 0 = -3*k + 28 + o. What is the tens digit of k?
3
Suppose -4*w - 37780 = -4*v, -w = 100*v - 103*v + 28345. What is the thousands digit of v?
9
Suppose 5*l - 12185 = 2*q, 2*l = 4*q + 3323 + 1551. What is the hundreds digit of l?
4
Let x(t) = -20*t**3 + 13*t - 6. Let m(o) = -o**3 + o - 1. Let j(w) = -6*m(w) + x(w). What is the units digit of j(-3)?
7
Suppose 4*v = 2*x - 14324, -11*x + v = -x - 71563. What is the units digit of x?
6
Let p = 227 - 219. Let d(l) = l**3 - 5*l**2 + 10*l + 10. What is the hundreds digit of d(p)?
2
Let n = -27 - -32. Let l(f) = n*f + 3 - 3 + 3 - 2. What is the tens digit of l(7)?
3
Let x(y) = 9*y + 1. Suppose 12 = 2*n + n. Suppose m = n*m - 12. What is the tens digit of x(m)?
3
What is the thousands digit of (-7)/63 - 1000012/(-117)?
8
Suppose -6*b + 104 = -10*b. Let o be 4/b + 1 + (-284)/13. What is the tens digit of 14 + ((-6)/o - 25/(-35))?
1
Suppose k = 6 + 2. Suppose 0 = -k*d + 766 - 46. What is the tens digit of d?
9
Let n = -192 - -308. Let t = -35 + n. What is the tens digit of t?
8
Let h(o) = 69*o**2 - 5*o + 7. Let d be h(-6). Suppose 0 = -13*y + d - 259. What is the hundreds digit of y?
1
Suppose 73*q - 75*q = 3*i - 19195, 3*i = -q + 9593. What is the thousands digit of q?
9
Let z = 131 + -126. Suppose 0*j + 4 = 4*f + 5*j, -z*j = 20. What is the units digit of f?
6
Let w = -9 + 12. Suppose w*z - 21 = -4*z. Suppose m + z*m = 5*r - 257, 0 = 5*r + m - 242. What is the units digit of r?
9
Suppose 2*x - 1146 = -d, 3*x = -2*d - 2*d + 1719. Suppose 0 = -5*t + 8*t - x. What is the tens digit of t?
9
What is the hundreds digit of -19 + (3384 - 5) + (-4)/1?
3
Suppose -16 = 4*h, 11*h = -3*j + 16*h + 2651. What is the tens digit of j?
7
Suppose b - 8 = 85. Let g = b + 189. Suppose g = 2*j + j. What is the units digit of j?
4
Suppose 2550*o + 46750 = 2560*o. What is the thousands digit of o?
4
Let n = 1059 - 381. Let i = n - 403. What is the tens digit of i?
7
Let u = 22146 - 12480. What is the hundreds digit of u?
6
Suppose -3*d = q - 28, -2*d = 3*q - 4*d - 106. Let x(i) = -i - 33*i**2 - 7 + q*i**2 + 0*i. What is the units digit of x(10)?
3
Suppose 0 = 115*d - 68*d - 68620. What is the units digit of d?
0
Suppose -5*p = -3*v - 2780, 0 = -35*p + 39*p + v - 2207. What is the units digit of p?
3
Suppose -5*i - 16373 = -4*m, i = 4*m + 3219 - 19572. What is the thousands digit of m?
4
Let h = -736 + 740. Let i = -10 - -15. Suppose -d + i + 13 = -h*r, 0 = 5*d - 2*r - 162. What is the tens digit of d?
3
Let l(v) = -v**2 + 8*v - 6. Let m be l(4). Suppose 0 = -m*h + 241 + 459. What is the tens digit of h?
7
Suppose -2*j + 110 = -8. Let x = j - -22. What is the tens digit of x?
8
Let f = 54 - 42. Suppose -f*p + 5 = -7*p. What is the tens digit of -2 + 43 + 0 + p?
4
Suppose 0 = -101*k + 119*k - 143928. What is the units digit of k?
6
Let z = -50 + 70. Suppose 5 = -3*d - k, 5*d - 4*k = -0*k + z. Suppose r = 5*m - 267, d = 5*m + 5*r + 7 - 262. What is the tens digit of m?
5
What is the tens digit of (1 + (-2462)/(-6))/(10621/(-627) + 17)?
8
Suppose 3*t + 8 = -t, -5*n + 2699 = 3*t. Let k = 784 - n. What is the units digit of k?
3
Suppose 4*u = 15176 - 4072. Suppose u = 7*a + a. What is the tens digit of a?
4
Suppose -5*g - 10 = 2*q - 36, -15 = -3*g - q. Suppose 3*p - 133 = -4*m - 27, -2*p = g. Let y = -5 + m. What is the tens digit of y?
2
Let v be (-4)/10 - 9/(180/(-88)). Suppose 86 = 2*m - v*m. Let w = -34 - m. What is the units digit of w?
9
Suppose 3*b - 3*o = 1107, -3*b + o = 65 - 1172. What is the tens digit of (0 - -4) + 5/(15/b)?
2
What is the hundreds digit of (2 - (6 + 1148))*4/(-3)?
5
Suppose 5*d - 2 = -2*y, 0*y - 5*d + 1 = y. Let k be (-5)/((y + 3)/(-4)). Suppose -3*a + k*a - 110 = 0. What is the tens digit of a?
5
Suppose 0 = -17*k + 106 - 4. What is the hundreds digit of -1*(2 - (k - 4)) - -174?
1
Let j = 210 + -209. What is the tens digit of (j + 98/4)/(5/50)?
5
Suppose 5*i - 23066 - 10392 = -4*x, 0 = i - 3*x - 6684. What is the thousands digit of i?
6
Let r = -43 + 49. Let t be (-2 + 8/6)/((-2)/r). Suppose -4*d - t*d = -456. What is the tens digit of d?
7
Suppose -16*v = -7*v + 36. What is the tens digit of ((-189)/49 - v) + 530/14?
3
Let c(x) = -29*x**2 - x + 2. Let g(h) = -30*h**2 - h + 3. Let o(m) = 7*c(m) - 6*g(m). Let j be o(-2). Let w = -62 - j. What is the tens digit of w?
3
Let f = 7871 - 3900. What is the thousands digit of f?
3
Let g = 3164 + -1413. What is the tens digit of g?
5
Let g(m) = -23*m + 64. Let r(y) = 45*y - 128. Let j(i) = -9*g(i) - 4*r(i). What is the hundreds digit of j(10)?
2
Suppose 5*f - 149 - 891 = -5*u, 4*f - u = 847. Suppose 525 + f = 8*v. What is the tens digit of v?
9
Let v be (4 + -1)/((-1)/5*-3). Suppose 1671 - 76 = v*s. What is the tens digit of s?
1
Let d be -1*(-1 - 3 - -3). What is the units digit of (3 - d) + 4 + 410?
6
Let l = 225 - 200. Suppose 3*d = -l*d + 3584. What is the hundreds digit of d?
1
Let s = -610 + 2446. What is the thousands digit of s?
1
Let o(d) = d**2 - 7*d - 72. Let k be o(13). What is the hundreds digit of (2/k - 1)/(7/(-3801))?
3
Let j(c) = -46*c**3 - 10*c**2 - 19*c + 4. What is the tens digit of j(-4)?
6
Let r(d) = -34*d - 6. Let j(z) = z**3 + 2*z**2 + 2*z + 1. Let s be j(-2). Let m be r(s). Let a = -37 + m. What is the units digit of a?
9
Suppose 15*i - 18*i + 4*d - 1129 = 0, -3*i - 3*d = 1122. Let x = -244 - i. What is the units digit of x?
1
Suppose -4*q - 2*z + 68 = -4*z, -3*z = -5*q + 87. Suppose 3*m + 66 = 4*v, -2*v + m + q = -17. What is the units digit of v?
5
Let o = 42 - 45. Let v be 3/o*(0 - 0). Suppose 2*g + 38 - 64 = v. What is the tens digit of g?
1
Let i(l) = 77*l + 7405. What is the hundreds digit of i(0)?
4
Let q(s) = 743*s - 4. Let p be q(2). Suppose -422 - p = -7*t. Suppose 2*d - t = -2*d. What is the tens digit of d?
6
Suppose 4*l = -2*n - 1126 + 4562, 3*n = -5*l + 5150. Suppose 0*m - 2*x = 4*m - n, 5*m = -3*x + 2140. What is the units digit of m?
5
Suppose 3*x = 4*o + 26461, 19943 + 6486 = 3*x + 4*o. What is the thousands digit of x?
8
Let w be (3/(-2))/((-3)/6) + 2. Suppose -8 = 4*q, w*q = -0*i + 2*i - 832. What is the hundreds digit of i?
4
Let k(d) = 7*d - 34. Let v be k(6). What is the hundreds digit of (282/(-2))/((-27)/v + 3)?
3
Suppose 50681 = 12*d - 43264 - 15603. What is the tens digit of d?
2
Let b = -356 - -612. Suppose -14*o + 10*o + b = 0. Suppose 3*u + 84 = 4*k, o = 3*k - u - u. What is the units digit of k?
4
Suppose -4*z = i + 4, -3*i + z - 4*z = -6. Suppose -3*l - 232 = -i*l. Suppose -5*u + 2*d + 226 = -0*u, -5*u = -4*d - l. What is the tens digit of u?
4
Suppose -k = -4*k + 5*x + 42, 4*x = -4*k + 24. What is the hundreds digit of (-1)/k - (-56962)/171?
3
Suppose -4*g + 368 = -n + 1860, -4*n - 1886 = 5*g. Let m = -177 - g. Suppose m = 2*b - 5. What is the units digit of b?
1
What is the hundreds digit of (19752/14)/(7*(-4 - 1182/(-294)))?
8
What is the units digit of (4 + -1)/(7/3549) - -5*1?
6
Let o be (-2)/3 + ((-531)/(-27) - -7). Let r = o + 103. What is the units digit of r?
9
Let v(x) = -141*x + 51. Let h be v(-5). Suppose 7*z + h = 9*z. What is the units digit of z?
8
Suppose -2*b + 3118 = -4*i, -3*i - 2*i + 5*b - 3900 = 0. Let v = -382 - i. What is the tens digit of v?
9
Let t(n) = -n**2 - 9 + 0*n + n + 7*n. Let k(w) = 4*w - 2. Let l be k(2). What is the units digit of t(l)?
3
What is the units digit of 112/14 - (-13515)/3?
3
Suppose -2*p = 3*p - t - 1365, 5*p - 1370 = 2*t. Suppose d + 3*d - 776 = 0. Let n = p - d. What is the tens digit of n?
7
Let n(t) = -349*t. Let s be n(-1). Suppose 5*x - w - s = 1964, 467 = x + 2*w. What is the units digit of x?
3
Suppose 2*s = 4, -4*o = -7*o - 5*s + 34. Suppose 4 = -12*g + 14*g + 4*p, 3*p + 2 = g. Suppose g*n - o*n + 534 = 0. What is the tens digit of n?
8
Let q = -5 - -10. Suppose -q*h + 9*h = 40. What is the tens digit of 2/(-5) - (-674)/h?
6
Suppose -4*h = -9*f + 7*f - 19230, f = -2*h + 9605. What is the tens digit of h?
0
Let f(a) be the second derivative of -a**5/20 + 11*a**4/12 + 3*a**3 - 7*a**2/2 - a. Let h be 8/(-1 - 1) + -4 + 20. What is the units digit of f(h)?
5
Let p = 17 - 88. Let z = 118 + p. Let c = z - 23. What is the tens digit of c?
2
Suppose 3*a - 13 = v, a - 23 = v + 4*v. Suppose o = a + 6. What is the units digit of (o*-2)/((-66)/54 - -1)?
1
Suppose -u - 9*u = -540. Let n = u + -34. What is the tens digit of (5 + -14)/((-3)/n)?
6
What is the hundreds digit of 1 - (1 - (9 + 7850 + 1))?
8
What is the units digit of 99799/14 + -6 - 4/8?
2
Let c(j) = -7*j**3 + 3*j**2 + 13*j + 5. Let p(o) = -2*o**3 - o**2 + o - 1. Let u(a) = -c(a) + 3*p(a). Let q be -1 + -2*1 + 11. What is the tens digit of u(q)?
4
Let j(x) = -x**2 + 1. Let i be j(-5). Let o = i + 75. Suppose -5*p = 5*k - 105, 0 = -p - 2*p + k + o. What is the tens digit of p?
1
Suppose -3*w = 2*c - 554, 0 = -5*c + 3*c + 2*w + 564. What is the units digit of c/28*((-7)/(-2))/1?
5
Let p(o) = o**3 + 28*o**2 + 25*o - 54. Let l be p(-27). Let j(r) = -11*r + 95. What is the tens digit of j(l)?
9
Suppose 8875 = 14*t - 9*t. Suppose -t = -4*o - 523. What is the units digit of o?
3
Let m(o) = -o**3 - 42*o**2 + 46*o - 48. What is the units digit of m(-46)?
0
Suppose 0 = 5*i + j - 15, 13*i + 4*j - 9 = 10*i. Let a(b) = 63*b + 27. What is the hundreds digit of a(i)?
2
What is the tens digit of 5758/(-4)*(7 - (-338)/(-26))?
3
Suppose 0 = -3*g - 4*v + 43, 5*g - 5*v + 9 = 34. Suppose -3*l + g*l - 84 = 0. Suppose l*h - 11*h = 285. What is the tens digit of h?
9
Suppose 0 = 2*g - 4 - 22. Suppose -3*q = -3*v + 21, 0 = v + 5*q - q + g. Suppose 130 = 2*w + v*b, 2*w - b = 50 + 88. What is the tens digit of w?
6
What is the hundreds digit of -3*(-18264)/40 + (-1)/(-5)?
3
Let w be (-1)/((-7)/(-18))*(-28)/6. Let f(u) = u - 1. Let q(v) = 13*v - 19. Let y(o) = -18*f(o) + 2*q(o). What is the tens digit of y(w)?
7
Let p = -5 - 16. Let j = 17 + p. Let g(r) = r**3 + 6*r**2 - 6. What is the tens digit of g(j)?
2
Let d(b) = -b**3 + 2*b**2 + 4. Let x be d(2). Let z(k) = -18 + 13 - x*k + k + 17. What is the units digit of z(-6)?
0
Suppose -t + 11 = -2*q - 14, 0 = 2*q - 4*t + 40. Let k(s) = 5*s - 11. Let a be k(-13). What is the units digit of (0 + a/(-5))/((-4)/q)?
8
Suppose 1040 = 10*a - 2*a. Suppose -284 = -5*p + 806. Let g = p - a. What is the tens digit of g?
8
Suppose 5*m = 3*i - 576, 0 = 5*i + 5*m - 1063 + 63. Let f = 218 + i. What is the hundreds digit of f?
4
Suppose -5*v = 5*i + 45, 2*i - 3*v + 7 = -11. Let b = i - -72. What is the tens digit of b?
6
What is the thousands digit of ((-473)/33 + 9)*4143/24*-6?
5
Let b be ((-4)/(-5))/(0 + 8/20). Suppose -3*u - 4*i + 91 = 0, -5*i - 2 = -7. Suppose 0 = -d + b*d - u. What is the units digit of d?
9
Suppose -3*m - 9514 = -4*s + 7225, -5*m - 4189 = -s. What is the units digit of s?
4
Suppose -h - 2*h = -6. Let r(k) = 6*k**h + k**2 - 3*k - 22 + 6 + 14. What is the tens digit of r(2)?
2
Suppose -265 = -18*l + 13*l. Let a = l + 15. What is the tens digit of a?
6
Let l(u) = 1142*u + 36 + 7 - 1145*u. What is the tens digit of l(-14)?
8
Suppose -51 = h - 2*d + 181, -3*d + 1181 = -5*h. Let o = h + 379. Let z = o - 49. What is the tens digit of z?
9
Suppose 2*n = -42*y + 37*y + 17813, -5*n + 44547 = -2*y. What is the thousands digit of n?
8
Suppose 0 = 21*r - 27*r. Suppose 5*m - 2*k - 1290 = -r*k, -1032 = -4*m - k. What is the units digit of m?
8
Let k = 41 + -37. Suppose -k*z + 18 = -2, 3*t - 25 = z. Suppose -t*m = -15*m + 250. What is the units digit of m?
0
Suppose 3*y - 14925 = -3*p + 4809, y + 6576 = p. What is the hundreds digit of p?
5
Let r = -27 - -29. Suppose -3*f + 5*g - r*g = -3, 0 = -4*f + 5*g + 5. Suppose -4*a + 2*a + 126 = f. What is the units digit of a?
3
What is the units digit of (160/15 - 8) + (-26634)/(-9)?
2
Let c(s) = 2*s - 33. Let a be c(18). What is the tens digit of (-78)/(-1) - (0 - a)?
8
What is the thousands digit of 13 - (11 + (-5212 - 13))?
5
Let z(y) = 2*y**2 - 37*y + 516. What is the hundreds digit of z(15)?
4
Suppose -6*c + 9092 = -5*c + 5*q, -27296 = -3*c - 5*q. What is the tens digit of c?
0
Suppose 2005 = -9*b - 2. Let r = -195 - b. What is the tens digit of r?
2
Let o(v) = v**3 + 20*v**2 + 18*v - 14. Let g be o(-19). Suppose -g*w + 817 = 3*t - 0*w, 3*t - 3*w = 777. What is the hundreds digit of t?
2
Let g = 112 + 79. Let s = g + 163. What is the units digit of s?
4
Suppose -l - l + 5 = i, 0 = 5*i - 25. Suppose -2*u + l*u - 5*b = -113, 3*b - 55 = -u. What is the tens digit of u?
6
Suppose 7*i = 260 + 1084. Suppose -3*g = -636 + i. What is the units digit of g?
8
Suppose 8*l - 36449 = -9841. What is the thousands digit of l?
3
Let d(g) be the first derivative of 13*g**3 - 7*g**2 - 14*g + 76. What is the units digit of d(-1)?
9
Let s = 159 + 118. What is the units digit of 7/(-7)*s*(-1 + 0)?
7
Suppose 4*o + 513 = a - 0*o, 5*o + 1017 = 2*a. Let p = a + -313. Suppose -m + p = m. What is the tens digit of m?
9
Let w be -3 + (3 - 3 - 3). Let z(i) = 2*i**3 - 15*i**2 - 9*i + 8. Let o be z(8). What is the units digit of w/27 - (o + (-1032)/27)?
8
Suppose -5*k - 3*d + 21338 = 1372, 7975 = 2*k + 5*d. What is the tens digit of k?
9
Let u be 8 - -94 - (2 - 1 - -1). Suppose -4*n + u = n. What is the units digit of 2/3*270/n?
9
What is the units digit of 10/(-4) + (-14)/((-392)/256942)?
4
Let w(k) = -101*k - 24. Let f be w(9). Let i = f + 1328. Suppose 9*r - 4*r = i. What is the tens digit of r?
7
Suppose -30*i - 3 = -31*i. Let m(d) = 125*d + 14. What is the hundreds digit of m(i)?
3
Suppose 237*j - 242*j + 2*k + 42285 = 0, -25392 = -3*j - 3*k. What is the tens digit of j?
5
What is the hundreds digit of -1415*28/(-210)*3?
5
Let h(d) = 220*d - 1284. What is the units digit of h(23)?
6
Let z(d) be the first derivative of 7/2*d**2 + 2*d - 1/4*d**4 + 5/3*d**3 - 8. What is the tens digit of z(5)?
3
Suppose 31946 = 5*g - 2*h, -5*g + 26*h - 31*h = -31960. What is the hundreds digit of g?
3
Let k = 3975 + 5850. What is the tens digit of k?
2
Suppose 0 = 2*n + 21*j - 25*j - 12046, -2*j - 18057 = -3*n. What is the tens digit of n?
1
Suppose -12876 - 465154 = -70*x. What is the tens digit of x?
2
Let g = -184 + 189. Suppose 2*d - 388 = -r, -3*r - g*d - 785 = -5*r. What is the tens digit of r?
9
Let n(j) = j**2 + 37*j + 102. Let h be n(-3). Suppose 0 = -5*c + 2*z + 7, -2*z + 5 = -c - 0*c. Suppose 12*v - 11*v - c = h. What is the units digit of v?
3
Let f be 1066/(-273) + (-4)/42. What is the tens digit of f/22 - (-4)/(88/9090)?
1
Suppose -2*g = 5*p - 15, -4*g + 9 = 2*p + p. Suppose 0 = -2*u - p*u. Let m = 26 + u. What is the units digit of m?
6
Let r(z) = z - 1. Let h be r(4). Let b(c) = c**2 - 12. Let g be b(4). Suppose -h*q + k + 30 = -2*k, -g*k = -2*q + 12. What is the tens digit of q?
1
Let m = 6389 + -15405. What is the tens digit of (-2)/(-8) - m/32?
8
Let k(w) = 3*w + 26. Let h be k(-8). Suppose 2*l - 868 = -3*s, -860 = -3*s - 6*l + h*l. What is the hundreds digit of s?
2
Let z(v) = -48*v + 27. Let i = -22 - -18. What is the tens digit of z(i)?
1
Suppose 0 = -2*m - 4, -2*m + 8 = 3*h + h. Suppose -2*f = h*f - 3*g - 14975, 5*f - 14970 = 2*g. What is the tens digit of (-4)/3 - f/(-48)?
6
Let r be 4/((3 - 4)*(-4 - -2)). Suppose z - 59 = -5*k + 195, z = r*k - 96. What is the units digit of k?
0
Let v(h) = 15*h**2 - 3*h + 4. Let c be v(-3). Suppose 2*n + 0*j - c = -2*j, 0 = 5*n - 2*j - 405. Suppose -l + n = 4. What is the units digit of l?
5
Let c = 14 + -21. Let i be (5 - (6 + -8)) + 22. Let l = i + c. What is the tens digit of l?
2
Suppose 0*f - 7*f + 21 = 0. Suppose -f*n + 11 = -1, -3*k = -3*n + 6. Suppose -49 = -k*w - 3*v - 2*v, -3 = 3*v. What is the units digit of w?
7
Let b(h) = -h**3 - 12*h**2 - 10*h + 10. Let l be b(-11). Let a(m) be the third derivative of -43*m**4/24 + 30*m**2. What is the units digit of a(l)?
3
Let x(v) = 7*v**2 + 60*v - 201. What is the hundreds digit of x(-33)?
4
Suppose -7*v + 6711 = 614. Suppose 4*t = 17*t - v. What is the tens digit of t?
6
Suppose -5*g - 20 = 0, 4*b + 250*g = 252*g + 19148. What is the hundreds digit of b?
7
Let x(y) = y**3 + 3*y**2 - 5*y - 8. Let q be x(-4). What is the units digit of 4/4*(q + 2 - -436)?
4
Let g(a) = 6*a**2 + 29*a + 155. What is the tens digit of g(-22)?
2
Suppose 2*y - 625 = -3*y. Suppose -2*r + y = -29. What is the tens digit of r?
7
Let g(o) = 16*o**2 + 2*o + 2. Let l be g(5). Let u be (5 + l)*(-2 - 24/(-9)). Suppose -u + 62 = -3*n. What is the tens digit of n?
7
Suppose -5*w + 23851 = 2*i, 24 - 34 = 5*i. What is the tens digit of w?
7
Let t(j) = -j**3 + 52*j**2 + 14*j - 63. What is the tens digit of t(48)?
2
What is the hundreds digit of ((-4084)/(-10))/((81/15)/27)?
0
Let y be (18/(-4) + 4)*-6. Suppose 0*w - 51 = -y*w. Let a = w - -66. What is the tens digit of a?
8
Suppose 0 = -0*s + 3*s + 2*p - 16, 8 = -s + 2*p. Let i(g) = -7 - 5 - 10*g**3 - 12*g**s + 9*g + 9*g**3. What is the tens digit of i(-13)?
4
Let j(h) = 11*h - 46. Let n be j(5). Suppose 107 = 3*p + 4*r, n*p + 131 = 12*p - 2*r. What is the units digit of p?
1
Suppose -2022 = -3*d + 5*o + 4133, -d - 2*o + 2048 = 0. What is the tens digit of d?
5
Suppose 2*c - 9 = 9. What is the tens digit of ((261/4)/3)/(c/24)?
5
Let g(q) = -605*q + 13. Let d be g(-2). Suppose 383 - d = -4*p. What is the tens digit of p?
1
Let g(h) = 5*h - 1. Let v(a) = -a**2. Let y(i) = g(i) - 3*v(i). What is the units digit of y(-2)?
1
Let x = -10 - -14. Suppose -5*b - 22 = 2*r, -2*r - 3*r = x*b + 21. What is the tens digit of -8*-3*(-7)/b?
4
Let o = -727 + 159. Let y = 983 + o. What is the tens digit of y?
1
What is the hundreds digit of (100 - 88)*2344/3?
3
Suppose -284 - 217 = -3*g. Suppose 3*y + y = 5*t - g, 4*y + 217 = -5*t. What is the units digit of (-256)/y*(-42)/(-4)?
6
Let b(x) = 1564*x**2 + 11*x + 4. What is the thousands digit of b(-1)?
1
Suppose -2*c - 5 - 13 = 0. Let f be (-12)/c*276/16. Let w = 10 + f. What is the units digit of w?
3
Let b = 6 + -9. Let m(k) = 33*k + 7. Let n be m(b). Let r = -19 - n. What is the tens digit of r?
7
Let q(j) = 261*j - 359. What is the thousands digit of q(24)?
5
Suppose -3*z = -4*v - 17 - 69, 5*z - v - 149 = 0. Let u = 33 - z. Suppose 28 + 66 = 2*k + 4*s, 0 = -u*k + s + 127. What is the units digit of k?
3
Suppose -2*n = 5*x - 47163, 5*x - 4*n = 41970 + 5199. What is the tens digit of x?
3
Let u = -277 + 481. Suppose 2*l = 52 + u. Let v = 205 - l. What is the units digit of v?
7
Let k(x) = x**3 + 21*x**2 - 20*x + 1. Let o be k(-21). Let h = o + -108. What is the tens digit of h?
1
Let d(j) = -j**3 - 6*j**2 + 6*j - 4. Let w be d(-7). Let g(v) = 4*v**2 + 9*v**w - 2*v**2 - 12*v**2 + 6*v**2 + 3*v. What is the units digit of g(2)?
2
Let f(l) be the first derivative of -7*l**3 - 2*l**2 - 3*l - 5. Let p be f(-4). Let q = -224 - p. What is the units digit of q?
9
Let c(a) = -11*a - 188. Let j(k) = -3*k - 47. Let p(m) = -2*c(m) + 9*j(m). What is the units digit of p(-15)?
8
Suppose -2*s = 13 - 13. Suppose -3*z - 3 = -s. What is the units digit of (-148)/(-2) - (0 + z)?
5
Let t(d) = 3*d**2 + 9*d**3 - 6*d**3 - 6*d**3. What is the tens digit of t(-3)?
0
Let i = -1774 - -2538. Let v = i - 439. What is the tens digit of v?
2
What is the tens digit of -2*((-15225)/(-14))/(-1)?
7
Suppose 76 - 6 = 2*o. Suppose -7 = -y - o. Let r = y - -67. What is the units digit of r?
9
Let q(d) be the third derivative of d**6/60 + d**5/40 - d**4/6 + 5*d**3/3 + 4*d**2. Let u(h) be the first derivative of q(h). What is the units digit of u(-4)?
0
Let c(q) = -6*q**3 - 62*q**2 - 25*q - 7. What is the thousands digit of c(-15)?
6
What is the hundreds digit of (7673/(-5))/(4/(-5) - 48/(-80))?
6
Let i(n) = 25*n**2 + 65*n - 82. What is the units digit of i(9)?
8
Suppose 3*w + 3*c - 402 = 0, -2*w + 646 = 3*w - c. Suppose 0 = -2*o - 2*i + 198 + w, -340 = -2*o + 4*i. What is the units digit of o?
6
Suppose -x - 4*a = a - 40, -2*a = 3*x - 159. Let j = -44 + x. Suppose 0 = -c + j*c - 470. What is the units digit of c?
7
What is the units digit of 9 + (-32)/(-8) + 3202?
5
Let k = -50 + 47. Let q be 4 - 3 - k - 2. Suppose 60 = d + q*d. What is the units digit of d?
0
Suppose -119*l - 39*l + 175142 + 154920 = 0. What is the units digit of l?
9
Suppose -2*u = -y + 1772 + 321, -5*y = 4*u - 10451. What is the thousands digit of y?
2
Let g = -22 + 37. Let z = 247 - 246. What is the units digit of g - (3 - 1 - z)?
4
Let l be (-58)/((-5)/((-625)/(-505)) + 4). Suppose 5*x - 4*g - l = 0, 266 = -x + 2*x + 4*g. What is the hundreds digit of x?
2
Let l = 110 + 412. Suppose 3*i + l = 2*m, -2*i - i + 270 = m. What is the hundreds digit of m?
2
What is the hundreds digit of 25/100 + (-114995)/(-20)?
7
Let b(c) = c**3 - 8*c**2 + 15*c. Let j be b(5). What is the hundreds digit of 284 - -9 - (j + -2 - 2)?
2
Suppose -q - 4*n = 83, -n + 20 = -5*n. Let l = -26 - q. Let k = -26 + l. What is the units digit of k?
1
What is the units digit of (-16 - 40/(-5)) + 1429?
1
Suppose q + 4 = 6. Suppose -q*j - 2159 = 2*s - 335, -2*s = 0. What is the units digit of (j/(-36))/(1/3)?
6
Let j = -118 + 124. Let v(b) = 29*b - 43. What is the units digit of v(j)?
1
Suppose 3703 = 2*g + 2*j - 14313, 2*g - 18034 = 4*j. What is the units digit of g?
1
Suppose -55*g + 419850 = -g. What is the units digit of g?
5
Suppose 2*j = 6*j. Suppose j = 4*o - 778 - 782. Suppose 0 = -5*t - 5*t + o. What is the units digit of t?
9
Suppose -6*k = -10*k + 812. Let a be ((-286)/(-4))/((-7)/(-14)). Let j = k - a. What is the units digit of j?
0
Let i(r) = -r**3 + 40*r**2 - 64*r + 631. What is the units digit of i(35)?
6
Suppose -72*f - 11159 + 119467 = -94588. What is the tens digit of f?
1
Suppose 3*x - 5840 = -3358 + 5453. What is the thousands digit of x?
2
Let u = -14 + 17. Let x be (-609)/(-58) + (6/(-4))/u. What is the units digit of (184/(-10))/((-4)/x)?
6
Let c(k) = k + 19. Let a be c(-19). Suppose a = 4*m + 5*r - 141 - 60, 0 = 2*m - 5*r - 93. Let j = 61 - m. What is the units digit of j?
2
Let l = 1017 - -7352. What is the units digit of l?
9
Let f(u) = -1594*u + 135. What is the hundreds digit of f(-3)?
9
Suppose 0*z = 4*z - 11854 - 27810. What is the units digit of z?
6
Let p(m) = -252*m - 671. What is the thousands digit of p(-25)?
5
Let v = 2565 - -1959. What is the hundreds digit of v?
5
Let i = 4294 - 2141. What is the units digit of i?
3
Suppose -9 = t - 2*t - h, 3*t + 2*h - 22 = 0. What is the tens digit of -2*(-2 + (-766)/t + 2)?
8
Let f be ((-9)/4)/(2/160). Suppose 6*z + 2*h - 5*h = 1563, 519 = 2*z + h. Let x = z + f. What is the units digit of x?
0
Let y be (-24)/(-20)*((1 - -2) + 2). Suppose -9*x + 7*x = -y. Suppose -x*m = -24 - 30. What is the tens digit of m?
1
Suppose -27 + 75 = -12*g. Let m(o) = 4*o**2 + 2*o + 6. What is the units digit of m(g)?
2
Suppose 2*r + 16742 = 3*n, -106*r + 110*r = 3*n - 16744. What is the thousands digit of n?
5
Suppose -5*u + 37 = 2*h, -3*h - 21 = -0*u - u. Suppose -u*s + 18*s = 1764. What is the hundreds digit of s?
1
Suppose -5*v - 5118 = 5*v - 96358. What is the tens digit of v?
2
Suppose -36615 = -4*g + 5*u, -16*g + 9160 = -15*g + 5*u. What is the hundreds digit of g?
1
Let a be 142/6 - (-1)/3. Suppose -12*n = -a*n + 4656. What is the hundreds digit of n?
3
Suppose 35 - 19 = 4*m. Suppose 3*c + 2*q - 1260 = 0, 6 + 6 = -m*q. What is the tens digit of c?
2
Let i(n) = 6*n**2 + 17*n + 33. Let l(j) = -7*j**2 - 16*j - 33. Let h(d) = 4*i(d) + 3*l(d). What is the hundreds digit of h(-10)?
1
Suppose -26428 = 8*d - 11*d + 5*n, -4*d + 35249 = -9*n. What is the tens digit of d?
0
What is the thousands digit of 1048/(-10)*(40 + -55)?
1
Let a = 85 - -62. Suppose 0 = 4*k - 39 + a. Let f = 5 - k. What is the units digit of f?
2
Let m(l) = -3*l**3 + 2*l**2 + 3*l + 1. Let r be m(-1). Suppose r*s - 811 = -40. What is the hundreds digit of s?
2
Suppose -2*x + 199 + 37 = 4*q, 5*q = 4*x + 269. Suppose -q*b = -56*b - 10. What is the units digit of b?
0
Let r(v) = -5*v**3 - 3*v**2 + 5*v + 7. Suppose 0 = 4*d + 2*k + 10, 4*k + 0*k + 20 = -5*d. Suppose -5*o = -d*o + 15. What is the tens digit of r(o)?
0
Suppose -18*q + 43014 = -24180. What is the tens digit of q?
3
Suppose -20*v - 48 = -17*v. Let o be -1 + (4 - 0) + v. What is the units digit of 10/4*o/((-65)/30)?
5
What is the thousands digit of (-322610)/(-50) - 11 - (-12)/15?
6
Let v = 24147 - 14364. What is the thousands digit of v?
9
Suppose 0 = d - m - 7035, 2*d - 10451 = -2*m + 3615. What is the tens digit of d?
3
Let h = -38 + 39. Suppose 0 = s - 4*s + 48. What is the tens digit of (h - 58/8)/((-2)/s)?
5
Let a(m) = -219*m**2 - 2*m + 17. Let p(v) = -55*v**2 + 4. Let i(x) = 2*a(x) - 9*p(x). What is the hundreds digit of i(2)?
2
Let a = 2569 + -789. Suppose 0*w - 896 = -2*z + 4*w, -4*w - a = -4*z. What is the hundreds digit of z?
4
Let m = 520 + 9110. What is the tens digit of m?
3
Let x = 10528 + -1673. What is the tens digit of x?
5
Let i = 53 + 655. Let g = i - 311. What is the tens digit of g?
9
Suppose 7*w - 36 = 6. Suppose f - w = 93. Let c = f + -16. What is the units digit of c?
3
Let u(d) be the second derivative of -d**3/6 + 7*d**2/2 + 5*d. Let j be u(5). What is the units digit of j/(-2) + (83 - (1 - 3))?
4
Let h = -233 - -234. What is the tens digit of (-10 + h)/(39/(-221))?
5
Suppose 221026 + 13582 = 88*x. What is the tens digit of x?
6
Suppose -3*w + 4*u = 329 - 33, -5*w - 4*u - 440 = 0. Let m = 21 - w. What is the units digit of m?
3
Let b(i) = 394*i - 737. What is the units digit of b(22)?
1
Suppose 0 = 18*r - 15*r - 75. Suppose 689 = 2*q - r. What is the hundreds digit of q?
3
Suppose -5*s = 5*a - 3305, 4*s - 5*a - 3275 = -s. What is the tens digit of (s/3)/((-3)/((-81)/18))?
2
Let k(p) = 665*p - 1519. What is the hundreds digit of k(11)?
7
Suppose 0 = -7*k + 5971 + 2695. Let g = k + -868. What is the units digit of g?
0
Let q(b) = -12*b**2 + 3*b - 1. Let y be q(2). Let i = y + 47. What is the tens digit of (-116)/(-8)*(i - 0)?
5
Let m be 12/30 - ((-1248)/5 + -2). Let c = m - 208. What is the tens digit of c?
4
Let z(d) = d**3 + 13*d**2 - 16*d - 2. Let b be z(-14). Let c = b + -29. What is the units digit of (64/(-3)*(c - 0))/1?
4
Let f(o) = 22*o**2 + o + 2. Let l be -2 + (-3)/((-6)/8). Suppose l*s = -4*p, 2*p + s = -4*s + 16. What is the tens digit of f(p)?
8
Let q = 239 + -160. Let p = 133 - q. What is the units digit of p?
4
Let n = -47 - -44. Suppose 2*v = 7*v - 195. What is the tens digit of n - (-1 - v/3)?
1
Suppose 0*u = 2*u - 40. Suppose 7*z = 9*z + u. What is the units digit of 10 - (24/z - (-2)/5)?
2
Suppose 4*j = g + 88, -3*j - 494 = 5*g - 5*j. Let m = g + 519. What is the hundreds digit of m?
4
What is the tens digit of 48/28*(-36092)/(-8)?
3
Let f(p) = -6*p**2 - 7*p + 37. Let w(l) = 6*l**2 + 6*l - 36. Let t(c) = 5*f(c) + 6*w(c). What is the hundreds digit of t(8)?
3
Let j(t) = -19*t + 4. Suppose -3*i + 0*b = -5*b + 9, -3*i - 9 = 4*b. Let g = i - 0. What is the units digit of j(g)?
1
Let z(d) = -26*d**3 - 17*d**2 - 17*d - 21. What is the tens digit of z(-6)?
8
Suppose 5*o + 4*i = 11, -2*i + 1 = 2*o - 3. Let c(h) = -10*h**2 + 4*h. Let w be c(o). Let k = w + 132. What is the units digit of k?
4
Suppose -6*d + 44 = -2*d. Let t = -63 - -66. Let m = d + t. What is the tens digit of m?
1
Let f be (-844)/(-6) - ((-22)/(-6) + -4). Let a = f - 124. What is the units digit of a?
7
Let c = -16098 + 23421. What is the units digit of c?
3
Let v be ((-10)/(-8))/((-2)/(-8)). Suppose -2*f + 0*p = -2*p, 2*f + 3*p = v. What is the units digit of (2*(-3)/(-2))/f - -56?
9
Let z = 27 + -17. What is the units digit of (6/z)/(15/3450)?
8
Suppose -83 = -8*y - 3. Suppose -3696 = -6*l - y*l. What is the hundreds digit of l?
2
Let k(t) = 200*t**2 + 9*t - 10. What is the hundreds digit of k(2)?
8
Suppose -15*c + 10*c = 3*q - 1741, -2*c - 1166 = -2*q. What is the units digit of q?
2
Let m(a) = -a**2 - 6*a + 24. Suppose 2*j + 11 = -7. Let v be m(j). What is the tens digit of (v/(-9))/((-4)/(-132))?
1
Let u(d) = d + 4. Let n be u(0). Let o = 14 - n. Suppose -o*f + 16 = -8*f. What is the units digit of f?
8
Let a = 13 - 10. Let o(x) = 4*x**3 + x**3 + 0*x**a - 4*x - 11 - 4*x**3 + 11*x**2. What is the tens digit of o(-11)?
3
Let j = 19 - 34. Let v(s) = -s - 9. Let n be v(j). Suppose -5*u - 59 = -n*u. What is the units digit of u?
9
Let v(x) = -x**2 - 9*x + 13. Let n be v(-8). Let d = 29 - n. Suppose d*r - 9*r + 71 = 0. What is the units digit of r?
1
Suppose -3942*h + 3943*h - 725 = 0. What is the tens digit of h?
2
Suppose -3*v = -75*d + 72*d - 25587, -3*v + d = -25587. What is the thousands digit of v?
8
Let u = 15373 - 7853. What is the hundreds digit of u?
5
Suppose 0 = 4*w + 8 - 68. Suppose 0 = -24*h + 19*h + w. What is the units digit of h/((-255)/86 - -3)?
6
Let o = 11449 - 5338. What is the hundreds digit of o?
1
Let s be (36/8)/((-8)/((-80)/15)). Suppose s*w - 8*w = -4*u + 1582, 0 = 2*u - 2*w - 792. What is the tens digit of u?
9
Let x be 3/6 + 87/(-2)*1. Let y = x - -47. What is the tens digit of 38 - y - (3 - -1)?
3
Let r(o) = -48*o + 49. Let q be r(10). Let i = q - -679. What is the hundreds digit of i?
2
Let o be (1/(-2))/(4/(-40)). Suppose 2100 = 5*c + o*c. What is the tens digit of c?
1
Suppose -3*v + 12083 = -5*h, 105*v - 5*h = 109*v - 16169. What is the hundreds digit of v?
0
Let n be ((-16)/(-12))/(20/45) - 86. Let c = n - -525. What is the units digit of c?
2
What is the tens digit of ((0 - -1)*-4 - -3)/((-13)/91858)?
6
Let h be (-2)/(-4)*-6 + -536. Let w = h + 979. What is the units digit of w?
0
Let x be (3/18)/((-6)/36). What is the units digit of 5/x*(3 + -85)*1?
0
Let f(p) = p**3 + 10*p**2 - 13*p - 19. Let h be f(-11). Suppose 0 = a + h*t - 127, -397 = -3*a - 4*t - 31. What is the hundreds digit of a?
1
Suppose 3*u + u + 8 = 0. Let i(n) = 7*n - 5*n + 2 - 15*n - 10*n. What is the units digit of i(u)?
8
Suppose 15*n + 27*n - 284585 = 7*n. What is the hundreds digit of n?
1
Suppose 2*x - 3*q = 16841, 4*q + 33684 = -109*x + 113*x. What is the thousands digit of x?
8
Suppose -2*u + 10 - 12 = 0. Let c(t) = -353*t**3 + t. What is the tens digit of c(u)?
5
Let c = -3222 + 7896. What is the tens digit of c?
7
Suppose 0 = -n, -3 + 27 = 3*j + 5*n. Let w be j/((-64)/84)*10/3. Let i = -30 - w. What is the units digit of i?
5
What is the thousands digit of ((-63)/(1512/(-16)))/(-1 + 26951/26949)?
8
Let o be (-1)/(258/1128 + 1/(-4)). Suppose o = 5*t - 4*j + 2*j, -36 = -4*t + 2*j. Let d = t - -44. What is the tens digit of d?
5
Let g be (-1 - 24)/(-1 + 0). Suppose 2*k - q + 3 = 0, 6*q - q = 4*k + 21. Let z = k + g. What is the tens digit of z?
2
Let u(c) = c + 49. Let m be u(-29). Suppose 0 = 4*i - m, 6*n - 2*n - 811 = i. What is the units digit of n?
4
Let i = 10461 + -5464. What is the hundreds digit of i?
9
Let q(m) = 4*m**3 - 2*m**2 - 6*m - 6. Let d be q(-2). What is the tens digit of (28/(-126) - d/(-9))*-115?
6
Let f(w) = 6*w**2 - w - 1. Let y be f(-1). Suppose -21 = -y*r - r. What is the tens digit of (-4)/(8/r) - (-327)/6?
5
Let a = -4147 + 7142. What is the units digit of a?
5
What is the hundreds digit of 76/(-209) - 36660/(-22)?
6
Suppose -15 = 3*x - 4*x - 4*u, 3*u = 4*x - 3. Let w = 124 - x. What is the tens digit of w?
2
Suppose 4*b + 5238 = 2*y, -4*b + 2006 + 3224 = 2*y. What is the hundreds digit of y?
6
Let y be 0 + 4 + 106 + 4. Suppose 119*j - 405 = y*j. What is the tens digit of j?
8
Let m(r) = 2*r**3 + 30*r**2 + 3*r + 33. Let y be m(-15). What is the units digit of (2 - y/3) + 9?
5
Suppose 6172 = v + i, -4*v + 27*i + 24720 = 23*i. What is the tens digit of v?
7
What is the hundreds digit of 5 + (5/(-20)*-1242)/((-18)/(-528))?
1
Suppose 0 = -t - 21 - 61. Suppose -109 + 81 = 4*o. Let q = o - t. What is the units digit of q?
5
Suppose 12*i + 332 = 13*i. Suppose 76 - i = -c. What is the tens digit of c?
5
Let t(l) be the second derivative of -2*l**3/3 - 23*l**2/2 + 13*l. Let p be (-13 - 0)*1 + -3. What is the units digit of t(p)?
1
Suppose -3*f + 2984 = t - 2162, -t + 5140 = 5*f. What is the units digit of t?
5
Let i(t) = 2*t**3 - 43*t**2 + 17*t + 80. What is the hundreds digit of i(22)?
9
Let h(j) = -j**3 + 18*j**2 - 15*j - 22. Let g be h(17). Suppose -3*c + x - 27 = 51, -c - g = -5*x. Let z = c + 103. What is the tens digit of z?
7
Suppose -85*w = -94*w + 17955. What is the hundreds digit of w?
9
Suppose -5*n + 5*p + 10 = 0, 0 = -4*n + 2*n + 5*p + 4. Suppose 4*z - 1515 = -3*h, -2*z - 3*h = n*h - 775. What is the units digit of z?
5
Suppose 4*k - 280315 = 16*k - 47*k. What is the tens digit of k?
0
Let f = -36 + 35. Let j be (f - 1)/((-1)/2)*1. Suppose 0 = m - 4*m + 2*p + 154, -m - j*p = -28. What is the tens digit of m?
4
Let l = -487 - -491. Let o = -1 + 1. Suppose o = 5*g + m - 225, -3*m = -l*g - m + 194. What is the tens digit of g?
4
Suppose -14*q = -65979 - 12338 - 59667. What is the thousands digit of q?
9
Suppose -3*f + 1032 + 30928 = 2*f. What is the units digit of f?
2
Suppose 0 = 8*q - 14*q + 30. Suppose -4*o = o + 3*s - 23, q*o + s = 21. Suppose -4*l = o*h - 60, 4*h + 3 = 4*l - 57. What is the tens digit of l?
1
Let k be 390/12 + -7 - 10/(-4). Suppose -33*t = -k*t - 1980. What is the hundreds digit of t?
3
Let a(w) = 16*w**2 - 2*w + 4. Let j be a(4). Suppose -2*l + 866 = -2*g, 4*g - 1026 = -3*l + j. What is the tens digit of l?
3
Let o(a) = -a + 1. Let v be o(-4). Let s(f) = -f**3 - 2*f**2 - f + 1. Let d be s(-2). Suppose v*y - 264 = -d*y. What is the tens digit of y?
3
Let t(b) = 8160*b**2 - 30*b - 31. What is the units digit of t(-1)?
9
Let v(d) = -2*d**2 - 5*d - 26. Let t(q) = -3*q**2 - 3*q - 27. Let z(a) = -3*t(a) + 4*v(a). What is the units digit of z(-11)?
9
Let o be -82*(-6)/6*5. What is the hundreds digit of o - ((-12)/(-3) - 4)?
4
Let i = -172 - -189. Suppose -2569 = -i*o + 4605. What is the tens digit of o?
2
What is the hundreds digit of ((-5037)/(-46))/((-5 + 2)/(-222))?
1
Suppose -2*k - 6 = 0, -3*k = -5*f - 0*f + 24. Let p = 38 + f. Suppose 7*v - 4*m = 2*v + 90, 3*v = 5*m + p. What is the tens digit of v?
2
Suppose 16*s = 2*g + 17*s - 3323, 5*s = -3*g + 4967. What is the tens digit of g?
6
Let z(d) = 2*d**3 + 35*d**2 + 17*d. Let v be z(-17). What is the hundreds digit of (-1 + v)*1 - (102 - 265)?
1
Suppose -7*p + 0*p + 32259 = -34045. What is the hundreds digit of p?
4
Suppose 18 = -3*g + 9*g. Suppose 2*i - 158 = g*r - 40, -4*r + 295 = 5*i. Suppose 0 = 2*p - i + 11. What is the tens digit of p?
2
Let h(t) = -2*t**3 + 13*t**2 + 4*t + 24. Let q be h(7). Let z be (3/(-2))/(9/(-996)). Suppose s = -q*s - 5*g + 100, 5*s = 4*g + z. What is the units digit of s?
0
Let v(g) = g**3 + 14*g**2 - g - 19. Let j be ((-15)/4)/(90/240). What is the tens digit of v(j)?
9
Let s(a) = a**3 - 5*a**2 - 3*a + 12. Suppose 2*i + 7 = 19. What is the units digit of s(i)?
0
Let r = 135 - 193. Let y = 514 + r. What is the units digit of y?
6
Suppose 4*z - 68 = -2*u, z = -3*u + 5*z + 82. Let j be -45 + 175 + 0 + -6. Let x = j - u. What is the tens digit of x?
9
Suppose 0 = -3*k - 36*d + 34*d + 10, 4*d - 20 = 0. Suppose 13*o - 414 - 93 = k. What is the tens digit of o?
3
Let f = -583 - -392. Let p = f - -370. What is the hundreds digit of p?
1
Suppose -196*o + 191*o = 4*h - 1727, 886 = 2*h - 2*o. What is the units digit of h?
8
Let z(a) = -3*a**3 - 2*a**2 - 6*a - 3. Let y = -6 - -16. Let g = 7 - y. What is the tens digit of z(g)?
7
Let r(a) = 24*a**3 + 12*a**2 - 26*a + 1. What is the units digit of r(4)?
5
Let k = -5 - -6. Suppose 3*c - k = 2. What is the units digit of -12*c*5/(-3)?
0
Let z(a) = 0*a - 5*a - 43 - 6*a - 21. What is the units digit of z(-7)?
3
Let z be 78/4*44/6. Let l = z - 126. What is the units digit of l?
7
Let t be (-2)/(-3)*6/(-4) - -4. Suppose t = -9*x + 30. Suppose 21 + 32 = p - x*k, -184 = -4*p - 2*k. What is the tens digit of p?
4
Let z(a) be the third derivative of -a**5/60 - a**4/3 + a**3/3 + 8*a**2. Let n be z(-6). Suppose -137 = -3*t - n. What is the tens digit of t?
4
Let a = -12 + 39. Let m be 1 + 2 + a/1. Suppose 0 = -4*y + y + m. What is the units digit of y?
0
Let b(t) = 2*t - 12. Let l be b(8). What is the tens digit of 4/((-41)/(-119) - l/14)?
6
Suppose -30*i - 35165 = -4*i - 221507. What is the tens digit of i?
6
Suppose -25*t - 55*t + 728320 = -0*t. What is the thousands digit of t?
9
Let o(d) be the first derivative of d**4/4 + 8*d**3/3 - 13*d**2/2 - 17*d - 26. Suppose 5*v = 4*f - 60, -f + 4 = -3*v - 5*f. What is the tens digit of o(v)?
8
Suppose 0 = -2*o - o - 2892. Let b be (o/12 + 1)*3/(-2). Suppose 0 = -2*d + 5*g + 37, -4*d + 2*g + b = g. What is the tens digit of d?
3
Suppose -38 = -4*s + 2. Let t = s + 0. Suppose m + c - t = 0, -c - 14 = -m - m. What is the units digit of m?
8
Let k = -10725 + 20203. What is the units digit of k?
8
What is the tens digit of 4264 + (-12 - -4 - -5)?
6
Let h = -34 - -38. Suppose h*b = 80 - 36. Let m = 5 + b. What is the tens digit of m?
1
Let r(s) = 11*s + 37 - 10*s + 26*s. What is the hundreds digit of r(4)?
1
Let x be 6/42*7 + 1 + 0. Suppose 0 = -x*f - 5 + 215. What is the units digit of f?
5
Suppose -9*y + 8141 = -19642. What is the units digit of y?
7
Let c(x) = -x + 27. Suppose -14*u - 3 = -15*u. Let k be u/(-1) + 18 - 1. What is the tens digit of c(k)?
1
Suppose 0 = -6*s - 6*s + 264. Suppose 18*i = s*i - 312. What is the tens digit of i?
7
Let l = -8458 - -14822. What is the thousands digit of l?
6
Suppose 18144 = 5*h + 3*m, -1379 = -2*h - m + 5879. What is the thousands digit of h?
3
Let n be (-2 + 15/(-9))/(14/(-252)). Let l be 1*7 + 0 + -1. Suppose 4*d = -h + n, -d - 91 = -l*d + 3*h. What is the tens digit of d?
1
What is the units digit of (-83223)/(-9) - (-1 - 9)?
7
Let n = 19507 + -10748. What is the tens digit of n?
5
Suppose r = -0*r + 4*x - 135, 2*x - 135 = r. Let b = r - -290. Suppose -1 + b = 2*n. What is the tens digit of n?
7
Suppose 0 = 5*u - 9*u + 56. Let b(h) = -h**2 + 39*h + 34. What is the hundreds digit of b(u)?
3
Suppose -9280 = -7*g + 3341. What is the hundreds digit of g?
8
Let a(i) = i. Let p(k) = -11*k - 24. Let y = 11 - 10. Let l(u) = y*p(u) + 6*a(u). What is the units digit of l(-8)?
6
Let x = -2880 - -4022. What is the thousands digit of x?
1
Let l be ((-1050)/(-45))/(3/9). Let u = 380 - l. What is the units digit of u?
0
Suppose -p - 5*n + 776 = 0, 38*n + 3802 = 5*p + 37*n. What is the units digit of p?
1
Let l(t) = 17*t**3 - 9*t**2 + 8*t + 9. What is the units digit of l(7)?
5
Let k(s) = -3*s**3 + 2*s**2 + 2*s - 2. Let u be k(1). Let a(o) = 243*o**2 - 4*o - 3. What is the tens digit of a(u)?
4
Suppose 53727 - 19787 + 50075 = 9*t. What is the hundreds digit of t?
3
Suppose 10 = 4*b - 6. Suppose m = b*m - 102. Suppose -65*f - m = -66*f. What is the tens digit of f?
3
Let o(i) = 197*i**2 - 7*i + 104. What is the tens digit of o(7)?
0
Let p(g) = -2*g**2 + 11*g - 6. Let n be p(4). Let w = n - 48. Let c = 103 + w. What is the units digit of c?
1
Let g = 12661 + -5571. What is the units digit of g?
0
Let o = 35 + -29. What is the tens digit of (1/(-2))/(o/(-1236))?
0
Let l be (-4 - 4 - -4)*-3. Suppose -18 = 3*r - l. What is the units digit of (-45 - 1)*3*r/12?
3
Let h = 128 - 115. Suppose 0 = 32*n - h*n - 3553. What is the tens digit of n?
8
Suppose 0 = 3*k + 4*y, -4*k + 2*y + 26 = 4. Suppose -3*q = k*n - 1734, n - 4*q - 40 - 384 = 0. What is the units digit of n?
2
Let k(f) be the first derivative of f**4/4 + 5*f**3 + 13*f**2/2 - 14*f + 3. Let h be k(-14). Suppose -4*b - b + 180 = h. What is the tens digit of b?
3
Suppose 4*d + 2*g - 20770 = 0, -2*g - 14 = -12. What is the thousands digit of d?
5
Let f(z) = -29*z**3 + 11*z**2 + 19*z - 61. What is the hundreds digit of f(-6)?
4
Let d(q) = -2187*q + 129. What is the hundreds digit of d(-1)?
3
Let z be (4 + 74)/(-2)*4/(-6). Suppose -x + 2*x = 2*a - 10, -z = -2*a + 5*x. Suppose 0 = c - a - 40. What is the tens digit of c?
4
Let n(r) = -2*r**3 - 11*r**2 + 33*r - 36. Let y(t) = -t**3 - 6*t**2 + 17*t - 18. Let c(g) = -4*n(g) + 7*y(g). What is the units digit of c(7)?
8
Suppose 3*x - 15 = 0, 7*x - 12*x = -2*n + 18929. What is the hundreds digit of n?
4
Let l(w) = -w**3 - 4*w + 4. Let v be l(1). What is the hundreds digit of v*-16*13 + (-4)/(-4)?
2
Let b(g) be the second derivative of 5/3*g**3 + 8*g**2 + 15*g + 1/3*g**4 + 0. What is the units digit of b(-6)?
0
Suppose 0 = -1091*n + 1097*n - 696. Suppose -3*i + 165 = -6*i. Let f = i + n. What is the tens digit of f?
6
Let s(l) = l - 17. Let f be s(24). Suppose -5*r - f + 272 = 0. What is the tens digit of r?
5
What is the thousands digit of 2 - (1 + -9505) - 1170/(-130)?
9
Let a(z) = 56*z + 1820. What is the thousands digit of a(-10)?
1
Suppose -5*a - 13440 = -5*z, 109*z - 110*z = -5*a - 2692. What is the hundreds digit of z?
6
Let a be (-2 - -7)*54 - 2. Let d = 156 - a. Let h = -50 - d. What is the units digit of h?
2
Suppose 2*k = 4*b - 124, -2*b = 2*k - 30 - 26. Suppose 3*d - 27 + b = 0, -5*x = 2*d - 1138. What is the tens digit of x?
2
Suppose 0*d - d = -7. Let i(o) = 11*o**2 + 9 + d*o**2 + 5*o - 16*o**2 - 2. What is the units digit of i(-6)?
9
What is the hundreds digit of ((-270)/10)/((-2)/518)?
9
Suppose -5*b + 27*b - 4466 = -7*b. What is the units digit of b?
4
What is the units digit of 4787 + 0*3/(3 - -6)?
7
Suppose -4662 = 202*w - 204*w. What is the hundreds digit of w?
3
Suppose -2*v - 6 = -4*v. Suppose 0 = r - v*r + 68. Suppose 34 + r = 2*d. What is the tens digit of d?
3
Suppose -70*u - 4*v = -67*u - 27949, 0 = u + 4*v - 9319. What is the hundreds digit of u?
3
Suppose -20*z - 26*z - 21214 = -115192. What is the tens digit of z?
4
Let n = 210 + -208. Suppose -3*d - 2*y = -299, n*d + 5*y = 3*y + 198. What is the hundreds digit of d?
1
Suppose 3*n = 3*f + 28284, 0 = -156*n + 159*n + 2*f - 28299. What is the units digit of n?
1
Suppose 3*m + 1102 = -26*m. Let p = -11 + 60. Let j = m + p. What is the tens digit of j?
1
Let s(j) = -j**2 + 4*j - 46. Let i be s(31). Let o = 1261 + i. What is the units digit of o?
8
Let s = -2148 + 8142. What is the tens digit of s?
9
Let s(a) = 161*a**2 + 61*a - 12. What is the units digit of s(5)?
8
Suppose -12*y = -17*y + 45. Suppose 0 = y*d - 13*d + 16. Suppose -21 = d*q - 117. What is the units digit of q?
4
Let u = -15245 - -21505. What is the units digit of u?
0
Let r be 2*(356/(-2) + 2). Let k(p) = 2*p + 44. Let u be k(-23). What is the tens digit of ((-1)/u)/((-2)/r)?
8
Let b(z) = 4192*z**3 + 5*z - 5. Let n be b(1). Suppose -1353 + n = 17*a. What is the tens digit of a?
6
Let p(t) = 4*t**3 - 4*t**2 + 8*t + 17. Let j be (-4 + 3/1)*4 + 9. What is the tens digit of p(j)?
5
Let k = -4294 - -6158. What is the thousands digit of k?
1
Let i = 8565 - 5681. What is the hundreds digit of i?
8
Let i be ((-1)/(-2)*-2)/((-2)/14). Suppose -354 = i*x - x. Let d = 95 + x. What is the tens digit of d?
3
Let y = 9 + -11. Let t be y + 2 - 27/(-3). What is the tens digit of 90/8 - t/(-12)?
1
What is the thousands digit of -1 + ((-704)/80)/(2/(-830))?
3
Suppose 0*q = 7*q + 42. What is the units digit of 430/15*q/(-4)?
3
Let g(c) = -14*c - 81. Let w be g(-6). Suppose -2*k - 4*n = -89 + 7, 103 = w*k + n. What is the units digit of k?
3
Suppose -18663 = -94*n + 688142 - 108683. What is the units digit of n?
3
Suppose -2*v - 268 + 7327 = -10939. What is the thousands digit of v?
8
Suppose -9*x + 5*x = -8. Suppose -x*j - 3*m + 85 = 0, -2*m = -5*j + 4*j + 46. What is the tens digit of j?
4
Suppose 3*o - 5*j - 27168 = 0, -6*j = -11*j - 15. What is the hundreds digit of o?
0
What is the tens digit of (6 - (-7 + -4201)) + 0 + -8?
0
Suppose -4*z = 5*k - 155, 4*z + 15 = -2*k + 185. Suppose -3*j = -0*j - z. What is the units digit of j?
5
What is the thousands digit of (42931/(-7))/(22/(-22))?
6
Let j = 189 + -168. Suppose 211 = q + j. What is the tens digit of q?
9
Suppose 20*y - 12*y = 32. Suppose -x - 4*q - 1140 = -4*x, -2*x - y*q = -760. What is the hundreds digit of x?
3
What is the tens digit of -1*15632*(-30)/60?
1
Let l(x) = 75*x - 3. Let h(p) = p**2 + 6*p - 6. Let c(g) = g**2 - 22*g - 7. Let o be c(22). Let s be h(o). What is the tens digit of l(s)?
7
Let q(v) be the first derivative of -11*v**4/4 + 5*v**3/3 + v**2/2 + 18. Let t be q(-2). Let n = t - 49. What is the tens digit of n?
5
Let z be (202/3)/(-5*(-8)/120). Let h = z + 163. What is the tens digit of h?
6
Suppose 0*t = -4*t + 5*t. Suppose -7*j + 4 = -3*j - 5*a, t = 4*a + 16. What is the units digit of ((-584)/14)/j - 9/21?
0
Suppose 0 = 2*h + 4*d - 10626, -2*h + 6*h - 21272 = 2*d. What is the hundreds digit of h?
3
What is the hundreds digit of (225/(-90))/(1858/(-928) + 2)?
1
Let g = -214 - -341. Suppose -g = -3*k + 461. Suppose l = 4*x + 4*l - k, l = -2*x + 100. What is the tens digit of x?
5
Suppose -4*y - 5*v = -27655, 34615 = -8*y + 13*y - 3*v. What is the units digit of y?
0
What is the units digit of 8 + -1 + 5/5 + -4 - -9928?
2
Suppose -20*c + 100181 + 42119 = 0. What is the hundreds digit of c?
1
What is the tens digit of (2 + -4)/((18/(-964))/9)?
6
Let d = -45 - -48. Suppose -3*z - z + 1 = -d*l, -5*z = 5*l + 25. What is the tens digit of (-83)/(-2) - l/6?
4
Let u be (-1 + 1)*(-13)/(-26). Suppose x - 2 = u, -5*x = 2*t - 0*t - 668. What is the tens digit of t?
2
Let w(k) = 82*k + 907. What is the hundreds digit of w(38)?
0
Suppose 34*h - 37*h + 28201 = -5*f, -h - 5*f + 9367 = 0. What is the hundreds digit of h?
3
Let w be -4 + (3 - (-4*730 - 1)). Suppose 14 + w = 9*y. What is the tens digit of y?
2
What is the tens digit of ((-315)/10)/(2/11 + (-2626)/14080)?
2
Suppose j + 226*r = 229*r + 5617, r + 11209 = 2*j. What is the units digit of j?
2
Let c be 5/((-25)/(-190))*(1 + 4). Let n = c - 165. What is the units digit of n?
5
Let g = 41 - 76. Let l = g + 32. What is the units digit of 0 - 1*l*(-12)/(-2)?
8
Let p(y) = 2*y - 4. Let a be p(6). Suppose -5*i + 14 = -3*r, 16 = -14*r + 12*r + 5*i. Let l = r + a. What is the units digit of l?
0
Let u = -36 + 66. Suppose -5*n + u = -130. Suppose -8 = p - n. What is the units digit of p?
4
Suppose -2*t + 15 = 5*p - 16, -t + 5*p - 7 = 0. Let w = t + -6. What is the units digit of (w + -2 - -1)/((-2)/(-190))?
5
Let n(k) = k**3 + 2 + 4*k**2 - 5*k + 5*k. Let f be n(-4). Suppose -5*b = 4*t - 20 - 5, t = f*b + 3. What is the units digit of b?
1
Let j be ((-10)/(-12))/(8/240). Let s = j + 1. Suppose 0 = s*z - 29*z + 252. What is the units digit of z?
4
Suppose 7*i - 128 = 23*i. What is the hundreds digit of 179 - (0 + i/(-4))?
1
Let p(k) = k. Let x be p(-3). Let m be 3*((-4)/(-12))/(2/172). What is the tens digit of (m + x)*1 - 0?
8
What is the hundreds digit of (-39)/65 + 2/((-10)/(-13083))?
6
Let c(n) = -9*n - 7. Let h(o) = -18*o - 14. Let y(b) = -10*c(b) + 6*h(b). What is the hundreds digit of y(-11)?
1
Suppose 3*h = -0*h + 2*f + 66, 2*h + 3*f - 44 = 0. Suppose 5*i = 4*q + h, -q - 6 = q. Suppose i*y + y = 120. What is the units digit of y?
0
Let z(v) = 49*v + 5. Let k be z(-5). Let r = k + 558. What is the hundreds digit of r?
3
Suppose 75*h = 123610 + 58997 + 146118. What is the thousands digit of h?
4
Let w = 194 - -62. Suppose 4*a - 3*a = 3. Suppose -a*z - 4 + w = 0. What is the tens digit of z?
8
Suppose 2*m - 9*m + 42 = 0. Suppose -c + 5*b = -355, 4 = -2*b + m. What is the units digit of c?
0
Suppose -24*f = -27*f + 9. Suppose -5*i = -f*t + 688, 0*t + 4*i = -t + 201. What is the hundreds digit of t?
2
Suppose -22*p + 184 = -23*p. Let k = p - -342. What is the hundreds digit of k?
1
Let j(u) = -4*u + 10. Let z be j(2). Suppose -m = z - 3, 0 = -a + 2*m - 56. Let y = a - -117. What is the units digit of y?
3
Suppose -f - 33 = -2*f - 5*r, -2*r = -4*f + 110. Let i(s) = 39*s. Let u be i(-1). Let d = f - u. What is the units digit of d?
7
What is the tens digit of -6167*(-9 + (-689)/(-91))?
1
Let i be (54/5)/((-96)/(-90) + -1). Suppose -8*n = -11*n + i. Suppose j = -0*j - 3*l + n, -4*l = j - 59. What is the tens digit of j?
3
Suppose 5*x + 3*y - 299 = y, -4*y + 67 = x. Let b = x + 209. What is the hundreds digit of b?
2
Suppose 3*t + 1222 = 16*t. Suppose -108 = 4*f + 5*l, 5*f - f + 4*l + 112 = 0. Let z = f + t. What is the tens digit of z?
6
Let l(y) = -9*y - 8. Let h be (2 - (-21)/(-6))*(-24)/(-9). Let b be l(h). Let q = 35 + b. What is the tens digit of q?
6
Let i = -56 - -15. Let z = i + 53. Let l(f) = -f**2 + 16*f + 26. What is the tens digit of l(z)?
7
Let h(v) = -61 - 11*v + 31 + 39 + 97*v**2. What is the tens digit of h(2)?
7
Suppose -7947 = 42*w - 95*w + 44*w. What is the tens digit of w?
8
Let y(q) = -46*q + 814. What is the hundreds digit of y(13)?
2
What is the units digit of ((-857)/5 - 3)*(-2600)/80?
8
Suppose -3*k = -k - 2*t + 486, -3*t - 759 = 3*k. Let u = k + 358. What is the units digit of u?
0
Let q = 2157 - -605. What is the units digit of q?
2
What is the thousands digit of 2900/(-87)*1086/(-4)?
9
Suppose 2*l + 12 = 20. Suppose -4*h - l*q + 1652 = 0, -4 = 5*q + 1. What is the tens digit of h?
1
Suppose 0 = -5*u - 176 - 319. Let d = u + 143. Suppose 5*y = 9*y - d. What is the units digit of y?
1
Let q(j) = 12*j**2 + j - 240. What is the units digit of q(26)?
8
Suppose -2*u + 262*o = 264*o - 8758, o + 17531 = 4*u. What is the hundreds digit of u?
3
Let n(v) = v**3 - 5*v**2 + 4*v + 12. Let a = -56 - -65. What is the hundreds digit of n(a)?
3
Let a(d) = d**3 + 12*d**2 + 23*d + 9. Let u(r) = -2*r + 6. Let g be u(-17). Suppose o = -5*s - g, -2*s - 3 = -o + 4*o. What is the units digit of a(s)?
5
Suppose 5*z = -4*k + 23876, 79*k - 84*k = -z + 4781. What is the tens digit of z?
7
Let m(h) = h**3 - 4*h**2 - 10*h + 11. Let j be m(-5). What is the tens digit of (j/(-16) - 10) + 1387/4?
4
Let r(t) be the third derivative of t**5/60 - t**4/4 - 25*t**3/6 + 14*t**2. What is the units digit of r(-3)?
2
Suppose 19*d - 13*d - 18 = 0. Suppose -d*c + 6*c - 2*z - 995 = 0, -3*z = -2*c + 670. What is the tens digit of c?
2
Let y(j) = 37*j**2 - 141*j + 83. What is the thousands digit of y(13)?
4
Let y(o) = o**3 + 2*o**2 - 22*o - 1. Let n be y(4). Suppose n*l - 1559 = 1402. What is the units digit of l?
3
Suppose 0 = 2*v - 10, -m = 5*v - 10*v - 856. Suppose -135 = -8*p + m. What is the tens digit of p?
2
Let t(x) = 393 + 195*x**2 + 2*x - 393. What is the hundreds digit of t(1)?
1
Suppose 9*y = 19*y + 140. What is the units digit of (-7)/(y/(-4))*(-147)/6?
9
Let g(s) = -66*s**3 - 9*s**2 + 2*s - 11. What is the hundreds digit of g(-5)?
0
Let u be 307 + -3 - (2 + -4). Let o = u + -161. What is the units digit of o?
5
What is the hundreds digit of 256/(-384) + 55966/6?
3
Let q be (-1 - 3)*1/(3/(-78)). What is the tens digit of (597/2)/3 + 52/q?
0
Let r = 4125 - 3883. What is the hundreds digit of r?
2
Let s = -5653 + 13394. What is the tens digit of s?
4
Suppose 5*l + 2*w - 44064 = 0, 3*l + 10*w = 14*w + 26428. What is the tens digit of l?
1
Let o(s) = -291 + 56*s + 40*s + 286. What is the units digit of o(3)?
3
Suppose 6*v - 8*v + 16 = 0. Suppose v*h - 3*h + 315 = 0. Let p = h - -161. What is the tens digit of p?
9
Let i = -41 - -44. Suppose -5*v = -i*w + 3 - 31, 0 = 2*w + 5*v - 23. What is the tens digit of (198/21)/(w/(-7))?
6
Let x(a) = a**2 + 7*a - 19. Let r be x(3). Suppose -r*y + y = -1240. What is the hundreds digit of y?
1
Let p(s) = -s**3 + 7*s**2 + s + 5. Suppose 25*b - 29*b + 28 = 0. Let m be p(b). What is the units digit of 42/m - 12/8?
2
Let j = 196 - -138. Suppose 2*s + 164 = g, -4*g = -2*g + 2*s - j. Suppose -f - 2*z = 3*z - 74, 3*f = -z + g. What is the units digit of f?
4
Let o(q) be the third derivative of -q**6/120 + 19*q**5/60 + 3*q**4/4 - 20*q**3/3 - 29*q**2. What is the hundreds digit of o(19)?
3
Let d(f) be the third derivative of -f**6/60 + f**5/10 - f**4/24 - f**3/6 + 2*f**2. Let g be d(3). What is the units digit of (-26)/g + (-8)/16?
6
Let m(n) = -42*n + 12. Let a be m(-4). Suppose -10*x = -0*x - a. What is the units digit of x?
8
Let v be (3 - 2/1)/(12/6312). Let d = v - 296. What is the hundreds digit of d?
2
Suppose -8 = -4*v + 12. Suppose -6*w = -v*w - 237. What is the units digit of w?
7
Let r(u) = 229*u**3 + u**2 + u - 1. Let j be r(1). What is the tens digit of ((-2)/(-4))/1*j?
1
Let i = 42 - -58. Suppose -3*h + 653 + i = 3*d, 4*d - 1019 = -h. What is the units digit of d?
6
Let a be 4*4/(-32)*-6. Suppose -2*x = -2*k + 388, 0 = -k - 6*x + a*x + 178. What is the units digit of k?
0
Suppose -4*u + 5*w - 285 = -2*u, -3*u + 3*w - 450 = 0. Let h = -148 - u. What is the units digit of h?
7
Suppose 3*z = 2*c - 901, -3*z + 2*c = -z + 598. Let q = 578 + z. What is the hundreds digit of q?
2
What is the thousands digit of 36/(-6) - (-6532 + 17)?
6
Suppose 37*a - 18117 = 32*a + 2*r, 5*r = a - 3605. What is the tens digit of a?
2
Suppose -11*v + 3425 = -6*v. Suppose -2*p + 274 = 2*a + 3*p, 5*a - v = -5*p. What is the units digit of a?
7
Suppose -4*s = 3*o - 15, 1 = -3*o + 5*s + 16. Suppose 12 = -o*z + 9*z. Suppose -4*x + 249 = 3*n, n - x = 73 + z. What is the units digit of n?
9
Let c(d) = 107*d**2 + 13*d + 171. What is the units digit of c(-7)?
3
Suppose -1442 = -13*g - 5693. Let u = -54 - g. What is the tens digit of u?
7
Suppose -3*b + b = -10, b - 340 = -h. What is the units digit of (-6)/9 + h/3?
1
Let t(s) = 37*s + 30. Suppose 0 = -2*u - 118 + 134. What is the units digit of t(u)?
6
Let s(b) be the first derivative of b + 3/2*b**2 - 6 + 1/3*b**3. What is the units digit of s(3)?
9
Let m(b) = 2*b**3 - b**2 + 3*b + 13. Let y be m(3). What is the units digit of y/6 + 9/(-54)?
1
Suppose 6*f - 902 - 292 = 0. Suppose -2*c + 24 = b - 176, -5*b - 20 = 0. Let t = f - c. What is the units digit of t?
7
Let l = 17 - 9. Let a be (((-210)/l)/3)/(1/(-36)). Suppose 88 = -4*v + 3*s + a, -2*v + 2*s + 114 = 0. What is the units digit of v?
6
Suppose 123 = 4*w - 5*g - 357, -2*w - 2*g = -240. Suppose 5*z + w = 5*l, 5*l - 2*z - 2*z = 117. Suppose 0 = 3*q - 69 + l. What is the tens digit of q?
1
Suppose -2*u + 1777 + 1573 = 0. What is the thousands digit of u?
1
Let t be 3*(-2 + 741/9). Suppose -183 - t = -4*m. What is the tens digit of m?
0
Let a(t) = t - 8. Let r be a(9). Let y be (7*r)/(-17 + 18). Suppose 3*n + 60 = 2*u, u - n - y = 22. What is the units digit of u?
7
Let n(p) = -869*p**3 + 5*p**2 + 27*p + 42. What is the hundreds digit of n(-2)?
9
Suppose 0 = -351*q + 347*q - 808. What is the tens digit of ((-15)/3 - -4)*q?
0
Let w = 86 + -32. Suppose 3*o - 3*y = w, 3*y + 26 = 5*o - 54. Suppose 2*r = -3*a + 91 + o, 0 = -4*a - 8. What is the units digit of r?
5
Let s(h) be the third derivative of 0*h + 1/12*h**4 + 1/60*h**5 + 0 + h**3 + 2*h**2. What is the units digit of s(8)?
6
Let h(d) = 15*d**2 - 118*d - 60. What is the hundreds digit of h(21)?
0
Let s be 6/(-15)*(-4 - 1). Let m(k) = -2 + 2*k**3 - k**3 - 8*k**s + 8 - 5 + 9*k. What is the units digit of m(7)?
5
Let q = 993 - -5318. What is the thousands digit of q?
6
Let a(j) = -2*j**2 - 10*j - 3. Let q be a(-4). Suppose -944 = -3*u + 5*n - 3*n, 1575 = 5*u - q*n. What is the units digit of u?
4
Let k = -204 - -206. Suppose k*j = -2*j + 1212. What is the hundreds digit of j?
3
Let c(j) = 352 + 31*j - 352. What is the hundreds digit of c(11)?
3
Suppose -4*o + 24803 = -5*x, 5*o - 23180 = -3*x + 7796. What is the thousands digit of o?
6
Let x(y) = 132*y - 7. Let r = -18 - -21. What is the tens digit of x(r)?
8
Let i = -17 - -20. Suppose 0 = -k - 2*a + 17, -i*a = 2*k + k - 57. What is the units digit of 2/6*(k - 9)?
4
Suppose 40*q - 4958 = -4*l + 39*q, -4*q = -5*l + 6208. What is the units digit of l?
0
Let a be (1 + 4)*11/(275/(-10)). What is the tens digit of 16/(-88) + a/44*-6010?
7
Suppose -4*b = -112 + 968. Let r = 220 + b. What is the units digit of r?
6
Suppose -2*k - w - 1340 + 15 = 0, w - 2635 = 4*k. Let b = -325 - k. What is the tens digit of b?
3
Suppose 20 = -h + 16, -6204 = -4*o + h. What is the hundreds digit of o?
5
Let b(m) = 7*m**3 - 4*m**2 + 2. Let k be b(2). Suppose -4*a - k = -6*a. What is the tens digit of a?
2
Let y = 88 - 49. Let j = 76 + y. Let n = -81 + j. What is the tens digit of n?
3
Suppose 0 = 5*b - 6*b + 5. Suppose -b*g = 2*w - 127, 2*g + g + w = 77. Suppose -86 = -q + 2*i, 3*i + g = q - 58. What is the tens digit of q?
8
Suppose -1330*i - 5920 = -1346*i. What is the units digit of i?
0
Let o(u) be the third derivative of u**5/30 - 25*u**4/24 - u**3 + 23*u**2. What is the tens digit of o(20)?
9
Suppose -3*a + 14 = 4*v, 7*v - 10 = 2*v. Suppose -m = a*m - 6. Suppose 165 = -m*n + 7*n - 5*b, 0 = 5*b + 10. What is the tens digit of n?
3
Suppose -4*i + 1865 = 2*n - 4063, 0 = 5*n - 3*i - 14859. What is the tens digit of n?
7
Suppose -6*u + 3 = -5*u. Suppose -7 = -u*j + 2. Suppose -4*g + 20 = -j*g. What is the tens digit of g?
2
Let b be (-2 - 0)/((-2)/5). Let h be b/10 - 267/(-6). Let w = -41 + h. What is the units digit of w?
4
Let h(m) = -m**2 - 10*m - 19. Suppose 31 = -3*d + 10. Let s be h(d). Suppose 3*p - 2*r = 29, -p = s*r - 7 - 16. What is the units digit of p?
3
Suppose 3*p + 944 = 3242. Let t = -144 + p. Suppose -7*z = 223 - t. What is the tens digit of z?
5
Let g = 32 + -28. What is the units digit of 2180/11 + (g - 368/88)?
8
Let g(o) = o**3 - 7*o**2 + 30*o - 25. What is the tens digit of g(6)?
1
Suppose 4*o - 2*w - 14146 = 0, -o - 3*w = -4327 + 808. What is the tens digit of o?
3
Let m(g) be the second derivative of 5*g**4/6 - g**3 - 4*g**2 + 49*g. What is the tens digit of m(-2)?
4
Suppose -4*z = 5*f - 49088, -11*f + 2*z = -13*f + 19634. What is the hundreds digit of f?
8
Suppose 2*x = -2*m + 1223 + 3927, 2*m - 6*x - 5158 = 0. What is the hundreds digit of m?
5
Let a(p) = 1452*p - 184. What is the tens digit of a(2)?
2
Suppose 0 = 5*y - 2*p - 9021, p = 5*y - 0*p - 9023. Suppose 4*m = 4*c - 1444, 5*c - 4*m - y = -m. What is the tens digit of c?
6
Let q be ((-30)/48)/((-2)/16). Suppose 0 = q*c + 25, -4*c = 5*v - 7*c - 2050. What is the units digit of v?
7
Let c(u) = u**3 - 21*u**2 - 18*u + 33. Let w(y) = 2*y + 34. Let f be w(-6). What is the units digit of c(f)?
1
Let r(y) = 21*y**2 - 6*y + 25. Let q be r(5). Let a = q + -306. What is the hundreds digit of a?
2
Let a be (60/18)/((-2)/105). Let r = a + 231. What is the units digit of r?
6
Let b = 2 + 1. Let u be 2/(-8) + b/(-12)*-397. Suppose -5*i + 71 = -u. What is the units digit of i?
4
Suppose -4*k - 7 + 27 = 0. Suppose 0 = -2*x + x + k*i - 2, 5*x + 10 = -3*i. What is the units digit of ((-1448)/10)/x + (-10)/25?
2
Let g be 74/12 + (-2)/12. Suppose g*h - 44 + 14 = 0. Suppose 5*x - t = 58, 0*x = -5*x - h*t + 70. What is the units digit of x?
2
Let q be 22*-6*(-1)/4. Suppose 0 = -4*d + 19 - 51. Let l = q - d. What is the tens digit of l?
4
Suppose -1363 = -y + 838. Suppose 18*m = -y + 7925. What is the units digit of m?
8
What is the units digit of (102 - -8640) + (-9 - -1)?
4
Let d(g) be the first derivative of 149*g**3/3 - g - 35. What is the units digit of d(-1)?
8
Let z = -69 - -66. What is the units digit of 1*z - (145/(-5) + -9)?
5
Suppose -8*a = -12608 + 400. What is the hundreds digit of a?
5
What is the hundreds digit of 65*(1076/15 - (0 - 10/15))?
7
Let w(c) = c**2 + 14*c + 2. Suppose -3*j = -3*v - 57, 2*v - 6*v = 5*j + 49. Let q be w(v). Let l = q + -16. What is the units digit of l?
8
Let k(n) = n**3 + 5*n**2 - 4*n + 11. Let y be k(-6). Let a(z) = -17*z**2 - 3*z - 2. Let i be a(y). Let f = 29 + i. What is the units digit of f?
3
Suppose r + 27015 = 4*i, 7*r = i + 3*r - 6735. What is the tens digit of i?
5
Let r(u) = u + 28. Let t be r(-23). Suppose 0 = -t*o + 9*o. Suppose 4*g = -4*a + 396, -5*a - 4*g + 181 + 316 = o. What is the units digit of a?
1
Let o = -103 + 105. Suppose -4*q + 5*q - 354 = u, 0 = -4*q + o*u + 1406. What is the units digit of q?
9
Suppose -64 = -4*x - k + 19, -2*x + 38 = 4*k. Let h = x - 39. What is the units digit of -5*(h/(-20))/(3/(-6))?
9
Let s(y) = 93*y**2 + 9*y - 17. Let w be s(3). Suppose -3*u - 556 = -2*a - 8*u, u = -3*a + w. What is the units digit of a?
3
Suppose -4*h - 9*r + 19155 = 0, -h - 2*r + 4770 = -6*r. What is the units digit of h?
2
Let p(n) be the second derivative of n**4/12 - 2*n**3/3 + 3*n**2 - 72*n. What is the tens digit of p(6)?
1
Let u(n) = -n - 3. Let s be u(-8). Suppose 117 = 3*k + 3*g, 4*k - 84 - 71 = -s*g. Let i = k + 14. What is the units digit of i?
4
Let r(f) = -f**3 - 3*f**2 - 2*f + 2. Let l be r(-2). Let b be 22542/(-9) + l/(-6). What is the tens digit of 6/27 + 0 - b/27?
9
Let z(n) = n**3 - 7*n**2 + 8*n - 10. Let x be z(6). Suppose -4*j = -x*c - 7 + 27, 4*c - 5 = j. Let l(s) = -23*s - 17. What is the units digit of l(j)?
8
Let r be (-27)/(-5) + (-2)/5. Let t = 96 - -16. Suppose x - 3*x = -r*j - t, -2*x = -4*j - 112. What is the tens digit of x?
5
Suppose 174551 = 44*o + 30*o - 250801. What is the hundreds digit of o?
7
Let w = 659 - 222. Let d = w - 30. What is the tens digit of d?
0
Let c = -91 + 82. What is the tens digit of c + 10 + -5 + 283?
7
Suppose -5*i = -2*m + 19499, 0 = -5*m + 2*i + 38099 + 10596. What is the hundreds digit of m?
7
Let v(r) = r**3 - 13*r**2 + 22*r - 6. Let m be v(11). Let a = m - -9. Suppose 47 = a*w - s, -3*w + 9 + 43 = -2*s. What is the tens digit of w?
1
Let u = 42 - 37. Suppose -3*q + 5*n - 10 = 2*q, u = -q + 2*n. What is the units digit of (-76 - -3)/((-1)/q)?
3
Let i(d) = -26*d**2 + 762*d - 10. What is the units digit of i(7)?
0
Let m be (-6 + 4 - -14)/(-2). What is the tens digit of 200/m*30/(-25)?
4
Let x = 1240 - 234. Suppose x = 7*w - 562. What is the hundreds digit of w?
2
Let h = -607 + 3001. What is the units digit of h?
4
Let c(j) = 23*j - 78. Let t be c(13). Suppose -2*w = 5*s - t, 5*s - 7*w = -4*w + 231. What is the tens digit of s?
4
Let q = -8 - -8. Let a(l) = 2*l + 6. Let x be a(q). Suppose -x*d + 5*d + 26 = 0. What is the units digit of d?
6
Let u be ((-14)/21)/(4/(-3798)) - -2. Let w = u - 250. What is the hundreds digit of w?
3
Let f = -33 - -45. Suppose 0*j = 3*j - f*j. Suppose 4*u + 45 = b, b = -j*b - 5*u. What is the tens digit of b?
2
What is the tens digit of 3 - -4065 - ((-28)/6 + 4)*6?
7
Let u = 2 + 0. Suppose 7*c + 16 - u = 0. What is the units digit of (7 - 9)*(-32 - c)?
0
Let w(s) = -384*s - 15. Let o be w(1). Let b = -248 - o. What is the units digit of b?
1
Suppose -23*o - o - 72 = 0. Let j(p) = -5*p**2 + 0*p - 10 - 3*p + 6*p**2. What is the units digit of j(o)?
8
Suppose -2*u = -j - 5 + 83, 0 = -3*j + 3*u + 234. Suppose -j - 17 = -y. What is the units digit of y?
5
Suppose 4*s + 4*r = 8, -3*r - 38 = -3*s + 2*r. Suppose -4*v + s*v + 5*y - 513 = 0, y = -5*v + 1340. What is the hundreds digit of v?
2
Let z = 4135 + -1750. What is the tens digit of z?
8
Let r = -2064 - -9257. What is the units digit of r?
3
Let c(m) = -385*m + 3. Let f be c(-1). Let d = -2522 + f. What is the tens digit of (d/(-33))/((-4)/(-6))?
9
Suppose -t = -2*n - 1542, -2*t - 3*t + 3*n + 7675 = 0. Suppose t = 4*a + 560. What is the units digit of a?
3
What is the hundreds digit of ((-667)/(-58))/(((-15)/1554)/(-5)) - 4?
9
Let p(h) be the third derivative of h**5/30 + 11*h**4/12 + 19*h**3/6 + h**2 - 2. What is the units digit of p(-18)?
1
Let b(a) = -a**3 - 5 + 6*a + 4*a**2 + 0*a**3 + 2*a**2 + 1. What is the hundreds digit of b(-4)?
1
Let m(i) be the third derivative of i**7/840 - i**6/360 + 3*i**4/8 + 8*i**2. Let p(x) be the second derivative of m(x). What is the units digit of p(6)?
6
Let s be 2/(-3) - 308/(-66). Let f(h) = 3*h - 5. Let m be f(s). Let c(w) = 2*w**2 - 11*w + 13. What is the tens digit of c(m)?
3
Let g be (205/(-10))/((-3)/72). Let d = g + -323. What is the tens digit of d?
6
Let w(t) = 2*t**3 - 19*t**2 - 10*t + 13. Let l be w(10). Suppose 0 = l*k - 4257 - 1658. What is the hundreds digit of k?
4
Let c(h) = 2*h**3 + 9*h**2 - 10*h - 31. Let t(a) = -a**3 - 5*a**2 + 5*a + 16. Let m(o) = -4*c(o) - 9*t(o). What is the tens digit of m(-8)?
8
Suppose -3*t + 11 = -r, 3*t + 0*r - 4*r = 26. Let d be 6 + -6 + (34 - t). Suppose d*h - 14 = 30*h. What is the units digit of h?
7
Let y = -81 + 83. Suppose 2101 = 5*i + 4*z, z + y = 1. What is the units digit of i?
1
Suppose 31*h - 32*h = 5, -5*h = -q + 8595. What is the hundreds digit of q?
5
Let d = -197 + 423. Suppose -5*r + 710 = -5*m, 4*r + m = -101 + 664. Let t = d - r. What is the tens digit of t?
8
What is the thousands digit of (-3)/(-1) - ((-3)/5 - (-4277790)/(-725))?
5
Suppose 29 = -2*a + 5. Let v be 302/(-18) - a/(-54). Let q = v - -80. What is the units digit of q?
3
Suppose 3*o = r + 10, 3*o + 15 = r + 5*o. Suppose -r*w + 1168 = -227. What is the hundreds digit of w?
2
Let u(q) = q**3 - 5*q**2 + 3*q + 4. Let k be u(5). Let s = k + 234. What is the hundreds digit of s?
2
Suppose -13*h = -22*h + 855. Suppose -35 = -6*r + 5*r - 4*b, 0 = -r - 3*b + 37. Suppose -r - h = -2*u. What is the tens digit of u?
6
Suppose f - 303 = 123. Suppose 5*i - f = 2*m, 2*m - m - 417 = -5*i. Let g = 0 + i. What is the units digit of g?
4
Let u = 185 - 34. Let y be (-1 - 2) + 3 - u. Let r = -85 - y. What is the units digit of r?
6
Suppose h - 3*x + 2 = 0, 0 = -x - 0*x. Let z be 3 - ((h - -3) + -10). Suppose -z*u + 270 = -6*u. What is the units digit of u?
5
What is the thousands digit of (-2 - -6779) + (40 - 45)?
6
Suppose o + 3*o + 28 = 0. Let x(m) = m + 11. Let f be x(o). Suppose -2*y + f*y = 70. What is the units digit of y?
5
Let u be (6/(-4))/((-1)/(-4) + -1). Suppose 3*p + 3 = 2*p, u*g - 5*p = 781. What is the hundreds digit of g?
3
Suppose -g - 3 = 0, -4*g - 818 = 5*x - 2451. What is the hundreds digit of x?
3
What is the hundreds digit of 4/(-10) - (-41472)/5?
2
Let p(k) = 166*k - 1102. What is the hundreds digit of p(44)?
2
Suppose -2*q = 2*r - 9390, 2464 = 2*r - 3*q - 6911. What is the hundreds digit of r?
6
Let n(k) = -9*k**3 + k - 2. Let r(t) = -t**2 + 5*t + 4. Let y be r(4). Let s be 1/((-20)/y + 2). What is the tens digit of n(s)?
6
Let s be 7 - (-12)/(2 + -5). Suppose -s*x + h = 5, -2*x + 2*h - h - 4 = 0. What is the tens digit of x/4 + 651/12?
5
Let k(t) = 24*t + 250. What is the hundreds digit of k(-3)?
1
What is the thousands digit of 9 - 4459/(-1) - 7?
4
Let v(r) = -6*r**2 + 52*r + 18. What is the units digit of v(5)?
8
What is the thousands digit of (96756/(-126) + 2/(-21))*-12?
9
Let s(b) = 210*b + 69. Let q be s(6). What is the tens digit of q/15 - 14/(-35)?
8
Let q(y) = y**3 - 4*y**2 + 22*y - 15. Let n be q(10). Suppose n = 2*f + 3*f. Let s = f + -69. What is the units digit of s?
2
Suppose -5*z + 5*u = 13 + 102, -5*u - 35 = z. Let m = 385 - z. What is the units digit of m?
0
Suppose -6455*f = -6451*f - 4912. What is the units digit of f?
8
Let v(h) = h**2 + 7*h + 24. Let a be v(-4). Suppose -a*d + 3131 + 829 = 0. What is the tens digit of d?
3
Let i be (-940)/(-26) + (-28)/182. What is the units digit of i*12/(-18)*-1?
4
Let u = 1869 + 5156. What is the units digit of u?
5
Let r(i) = -4*i**3 + 2*i**2 - 4*i - 31. What is the units digit of r(-6)?
9
Let a = -371 - -239. What is the units digit of (350 - -1)*(-44)/a?
7
Let w(u) = u. Let i be w(-2). Let j be 60/75*(1 - (-377)/i). Let d = -99 - j. What is the units digit of d?
1
Let y(i) = i**2 + i + 513. What is the units digit of y(-15)?
3
Suppose -2559 - 3084 = -11*c. What is the units digit of c?
3
Let v(j) = 22*j**2 - 7*j + 9. Let y be v(3). Suppose -2*x = 4*q + y, 7*x - 2*x = 4*q - 535. Let l = x + 156. What is the tens digit of l?
5
Suppose 3*b + 26 - 41 = 0. Suppose s = b + 5. What is the units digit of 65/(-26)*(-228)/s?
7
Let p = 302 + 111. Let h = 717 - p. What is the tens digit of h?
0
Let u(f) = 6*f**3 + 7*f**2 - 10*f + 5. Let z(b) = b**3 - b - 1. Let w(y) = u(y) - 3*z(y). What is the tens digit of w(3)?
3
Suppose -5*g + 247 - 1732 = 0. Let r = -129 - g. What is the tens digit of r?
6
Let q(l) = 4*l + 111. Let k be q(-14). What is the units digit of k/(4*(-3)/(-24)*2)?
5
Let p(m) = -11*m**3 + m**2 - 2*m - 8. Suppose 3*a = 2*y + 7, 5*a = -4*y - 2 - 1. What is the units digit of p(y)?
8
Suppose -l + 23 = 5*z, 7*z - 6 = 5*z. What is the tens digit of (-20)/l*(-1164)/15?
9
Let u(f) = -f**3 - 8*f**2 - 7*f + 6. Let j be u(-7). Suppose n - 4*h = -4*n - 21, h - j = 2*n. What is the tens digit of 54/(-4)*(-2 + 8)*n?
8
Let f = 18 + -42. Let m = f - -79. Suppose -3*u - m = -2*c, 6*c - 2*u - 70 = 3*c. What is the tens digit of c?
2
Suppose q + a + 183 = 0, 4*q + 0*q - 5*a + 723 = 0. Let w = 364 + q. What is the hundreds digit of w?
1
Let m = 273 + 281. Let u = -382 + m. What is the tens digit of u?
7
Suppose 3*m = -4*m + 1666. Suppose 17 = -5*b - m. Let l = b + 98. What is the units digit of l?
7
Let d be ((2 + 67)/(-3))/((-1)/(-10)). Let k = d + 546. What is the tens digit of k?
1
Suppose -5*a + 44216 = x, -2087 - 15589 = -2*a - 3*x. What is the tens digit of a?
4
Let h = -1399 - -746. Let x = -210 - h. What is the units digit of x?
3
Suppose 20*g - 42736 = 15*g - 3*p, 0 = -5*g + 2*p + 42726. What is the tens digit of g?
4
Let c(a) = 0*a**3 + 133*a**2 - 4*a**3 - 11 - 115*a**2 + 5*a**3 - 6*a. What is the units digit of c(-17)?
0
Let u(w) = -43*w**2 + 2 + 53 + 18*w + 59*w**2. What is the units digit of u(-5)?
5
Let d(h) = 115*h**3 - h**2 - 6*h - 4. Let s be d(-1). What is the tens digit of (-8)/(-6) + (-28348)/s?
5
Let b(h) = 5*h**2 + 14. Let g be b(-6). Suppose 441 + g = 5*t. What is the hundreds digit of t?
1
Let c(z) = 26*z**2 + 57*z + 720. What is the thousands digit of c(-14)?
5
Let g(v) = -v**3 - 4*v**2 + 9*v - 11. Let c(b) = -b**2 + b + 1. Let a(h) = -6*c(h) + g(h). What is the tens digit of a(-6)?
5
Let k(h) = h**3 + 3*h**2 - h + 1. Suppose -n = 2*s - 0 - 6, -14 = -n - 4*s. Let d be k(n). Let x(f) = -f**3 + 7*f**2 + 7*f + 7. What is the units digit of x(d)?
6
Let x(q) = q**2 + 14*q + 44. Let a be x(-10). What is the hundreds digit of -276*(28/8 - a)?
1
Suppose -3*b + 82 + 38 = 0. Let c = b - 41. What is the units digit of (c - (5 + -4)) + (88 - 1)?
5
Let d(s) = s**2 - s + 1. Let q be d(0). Let n = q + 11. What is the tens digit of (0 + 34)*(-5)/((-40)/n)?
5
Suppose 5*u - 75 = -50. Suppose -2*r + u*o + 18 = -270, 2*r - 288 = -3*o. What is the units digit of r?
4
Suppose 2*l + t - 4*t = -5, 5 = -t. Let g be 5 + -2*1*(-15)/l. Suppose -5*y - 2*n = -302, 3*y + g*n = n + 182. What is the units digit of y?
2
Let w = 18616 - 12279. What is the thousands digit of w?
6
Let k = -200 + 427. Let q = k - 178. What is the units digit of q?
9
Let r(t) = 2*t - 5. Let k be r(4). Suppose 0*f + 3*f - k*c + 51 = 0, -3*f = -c + 45. What is the units digit of -2 + f/(-8) + (-26)/(-8)?
3
Suppose -16*c = 18*c - 27*c - 30891. What is the tens digit of c?
1
Let u(y) = -17*y**2 + 61*y - 24. Let t(f) = -4*f**2 + 15*f - 6. Let q(d) = -9*t(d) + 2*u(d). Let v be q(8). Let j = 81 - v. What is the tens digit of j?
5
Let i be 0/(-1) + (-20)/(-1). Let b = 23 - i. Suppose -b*a = -306 + 87. What is the units digit of a?
3
Suppose 12*o = 10*o + 10872. Suppose -n - 11*n = -o. What is the units digit of n?
3
Suppose -26*l = -37*l + 77682. What is the thousands digit of l?
7
Suppose 24*t + 4*p = 20*t + 36792, t = -5*p + 9182. What is the hundreds digit of t?
2
Let d(t) be the third derivative of -t**6/120 + t**5/10 + t**4/24 - 4*t**3 + 2*t**2 + 38*t. What is the units digit of d(4)?
2
What is the hundreds digit of 380/(-475) - (-32229)/5?
4
Let s(v) = 149*v + 154. What is the tens digit of s(53)?
5
What is the units digit of (286716/21)/2 + 164/(-287)?
6
Suppose -7*r - 684 = -3715. Let o = r - 57. What is the units digit of o?
6
Let v = -1306 - -795. Let b = v + 932. What is the units digit of b?
1
Let b = 2580 - 272. What is the thousands digit of b?
2
Let l = 30 - 46. Let t be (l + 14)/(1/8). What is the tens digit of 4/2 - 336/t?
2
Let d(n) = 605*n - 14. Let j be d(-2). Let y = -808 - j. What is the tens digit of y?
1
Suppose r = -4*q - 3 - 10, 0 = 4*r - 4*q - 28. Suppose -5*t - r*y = -458, -1 = 2*y - 3. What is the tens digit of t?
9
Let h(l) = 3*l**2 - 5. Let r(x) = x**3 + 4*x**2 - x - 6. Suppose -w + m = 6 + 2, -2*w - m = 4. Let k be r(w). What is the units digit of h(k)?
7
Suppose 5 = 5*k, -5*d - 4*k + 7*k = 23. Let w be 2 + (-4)/(-2) - d. What is the tens digit of (-5)/(10/w) + 86?
8
Let v = -31 - -34. Suppose -3*u + 0*u - v = 0. What is the tens digit of 21*(72/27 + 2*u)?
1
Let i(y) = -3*y + 13. Let o be i(-6). What is the tens digit of 3*127 + 2 + (o - 27)?
8
Suppose -3*t - 3*o + 22668 = 0, 5*o - 24219 = -3*t - 1545. What is the units digit of t?
3
Suppose 3*d = -4*p - 4, -4*d = -2*p + 11 + 9. Suppose 96 = p*v - v. Suppose 0 = 5*w, a + w = 4*w + v. What is the tens digit of a?
9
Suppose -145648 - 631788 = -75*s - 146011. What is the thousands digit of s?
8
Suppose -s - 2*v = v - 397, 3*s = v + 1151. Suppose -5*f - s = -1385. What is the tens digit of f?
0
Let a be ((-42)/28)/((-3)/(-90)). Let m = 59 + a. What is the units digit of m?
4
Let k = -72 + 82. Suppose -165 - 445 = -k*t. What is the tens digit of t?
6
Suppose 4*o - 2 = 3*o - 4*n, 0 = 4*n. Let c(d) = 2 + 19 + 2*d**o - 2 + 16. What is the units digit of c(0)?
5
Suppose 5*u - 10 = 25. Let i be (1 - 1)/(105/(-7) - -14). Suppose -8*d + u*d + 96 = i. What is the units digit of d?
6
Let v(s) = s**2 - 3*s - 7. Let g be v(5). Suppose -4*i = -19*i - i. Suppose 2*y + 344 = 5*w, 2*w + g*y + 9 - 139 = i. What is the units digit of w?
8
What is the tens digit of -3 - ((-4)/(-22) - (-35253)/198*-26)?
2
Let y = -6769 - -10806. What is the units digit of y?
7
What is the units digit of -5*((-4)/28 - (-25778)/(-70))?
2
Let c(x) = -x**3 - 7*x**2 - 3*x + 20. Let j be c(-6). What is the units digit of j/7 - 3384/(-14)?
2
Let z be ((-12)/(-10))/(54/180). Suppose 1420 = 4*n + 4*i, 4*i - 2*i = z*n - 1402. What is the units digit of n?
2
Suppose 8 = h - j - j, -5*j - 18 = -2*h. Suppose -p + 2*r = h*p - 20, 4*p - 16 = 2*r. Suppose 294 = p*b - 90. What is the units digit of b?
6
Let j be 3/2 - (-6 + (-33)/(-6)). Suppose -340 = -2*c + j*q + 54, -q = 3*c - 611. What is the hundreds digit of c?
2
Let l be -3 + 4 + (-25*1 - 1). What is the hundreds digit of 5199/15 + 15/l?
3
Let y = 3 - -2. Suppose 0 = y*r - 0*r - 10, 0 = -5*s - 5*r - 35. What is the units digit of (-38)/s - 36/162?
4
Suppose 0 = 2*h + 2 - 12. Suppose 2*s + x - 3 = 0, -h*s + 2*x - 6 = -s. Suppose s = -5*j + 3*m + 33, 2*m + 20 = -0*j + 3*j. What is the units digit of j?
6
Let b(h) be the third derivative of h**4/24 - h**3/2 + 3*h**2. Let q be b(6). What is the tens digit of q/(-2 + 94/44)?
2
Suppose 82 = 8*m - 39502. What is the tens digit of m?
4
Suppose 13263 = 3*s + 3*v, v + 6957 = -3*s + 20224. What is the tens digit of s?
2
Suppose -5*s + 5 = x - 4*s, -3*x + 5 = -2*s. Suppose 5*d = x*d + 588. Suppose 0 = 5*b - 66 - d. What is the units digit of b?
2
Let i(p) = -2*p - 21. Let l be i(-6). Let v be (-40)/(-16) - (l/6 - -1). What is the units digit of (-10)/5*v/(-6)?
1
Let o be 104/(-4) - (-3)/1. Let x = -22 - o. What is the units digit of (x + -7)*(-4)/4?
6
Let f = 1525 + 2558. What is the hundreds digit of f?
0
Let p(s) = s - 2. Let j be p(6). Suppose -5*a = -5*g + 100, 0 = -4*g - 5*a + a + 88. What is the units digit of g/(j + 41/(-11))?
7
Suppose 307793 = 41*g - 2290. What is the tens digit of g?
6
Let w = -1489 - -6207. What is the tens digit of w?
1
Let w = 12613 + -6205. What is the tens digit of w?
0
Suppose 57 = 2*k + 3*p, -5*p - 69 = 5*k - 204. Suppose -b - 4*f - k = 0, -b = 3*f - f + 32. Let v = b - -72. What is the units digit of v?
2
Suppose 101*o + 323136 = 152*o. What is the hundreds digit of o?
3
Suppose 206*m - 6625 - 4377 = 204*m. What is the thousands digit of m?
5
Let x = 3684 - 2493. What is the units digit of x?
1
Suppose 0 = 4*z - 0*z - 2504. Suppose z + 566 = -8*o. Let m = 211 + o. What is the units digit of m?
2
Let r(w) = 51*w - 12. Let h = -16 - -20. Let f be r(h). Let u = f - 113. What is the units digit of u?
9
Suppose 4*d - 974 = 4*j + 550, 770 = 2*d + 2*j. Let x = 822 - d. What is the units digit of x?
9
Let h(v) = -v**3 + 17*v**2 - 16*v + 3. Let i be h(16). What is the tens digit of 354*(4 - i)/6?
5
Let x be 0 - 4 - (-54)/(-6). Let y = -44 - -78. Let c = x + y. What is the units digit of c?
1
Let o(c) = -5*c**2 + 4*c**2 - c - c**3 - 67 + 71. Let u be o(0). Suppose -u*l + l + 168 = 3*r, 0 = 3*r - l - 180. What is the tens digit of r?
5
Suppose -4*w - 3*l + 13 = -2*l, 0 = -5*w - 5*l + 20. Let k(h) be the second derivative of h**5/10 + h**3 - 7*h**2/2 - 3*h. What is the tens digit of k(w)?
6
Let m be ((-3)/2)/(7/14). Let q be (1/m)/(3/18). What is the tens digit of 9/q*(1 - 11)?
4
Let d = 16135 + -7802. What is the units digit of d?
3
Let n = -26 - -28. Suppose -3*c = -4*r - 6, -n*c - 4*r + 4 = -0. Suppose c*i + 44 = 2*a - 36, i + 5 = 0. What is the units digit of a?
5
Let y = 13908 + -9581. What is the tens digit of y?
2
Let t = 11 + -55. Let r = t - -62. What is the tens digit of (-1 - (3 - r))*4?
5
Let b(x) = x**3 + 33*x**2 + 2*x + 469. What is the hundreds digit of b(-25)?
4
Let i be (4/12)/(95/30 - 3). Suppose 5*g - i*g - 1225 = -5*d, 2*g = 2*d + 806. What is the units digit of g?
5
Suppose 0 = 3*y - 3*c - 23574, 2*c - 40634 = -5*y - 1323. What is the units digit of y?
1
Suppose -5*q - 19 = -6*q. Suppose q*j - 6434 = 2192. What is the units digit of j?
4
Let f be ((-6)/(-9)*2)/(4/(-30)). Let t(q) = q**2 + 12*q - 8. Let j be t(f). What is the units digit of (-7)/j + (-323)/(-4)?
1
Let w be 4/(-8)*-10 - 0. Suppose w*j - 405 = 10*j. Let i = 114 + j. What is the units digit of i?
3
Let c(w) = 9*w - 6. Let o be c(7). Let x = 471 - 508. Let i = x + o. What is the tens digit of i?
2
Let c(w) = -w**3 - 16*w**2 + 2*w + 32. Let r be c(-16). Suppose -4*o + 461 + 635 = r. What is the hundreds digit of o?
2
Suppose -2*z - 3*h + h = 726, 1085 = -3*z + h. Let y = -209 - z. What is the units digit of y?
3
Suppose 2*a - 4*t - 6352 = 0, -4*a + t - 3*t = -12724. Suppose 11*s + s = a. What is the units digit of s?
5
Let t = 28 + -15. Suppose 3*l = -2*j + t, 4*j - 5*j = -5*l - 39. Suppose j*x - 11*x - 303 = 0. What is the hundreds digit of x?
1
Suppose 0 = v + 2*a - 3283, -2714 - 569 = -v + 3*a. What is the tens digit of v?
8
Let o(b) = b**2 - b. Let l be o(0). Suppose -4*j + d = -730, -3*d - 177 = -l*j - j. Suppose 0 = 6*k - 9*k + j. What is the tens digit of k?
6
Let b = -1449 - -4392. What is the units digit of b?
3
Suppose 0 = 4*w + 3*l - 24664, l - 6165 = -183*w + 182*w. What is the thousands digit of w?
6
Let u = 15996 + -8151. What is the hundreds digit of u?
8
Let n(g) = -275*g + 1354. What is the units digit of n(-12)?
4
Let m be (12/(-10))/(24/(-60)). Suppose 4*c = -f + 164, m*c - 127 = -4*f - 17. What is the units digit of c?
2
Let t be 6 + (0 + -10)/5. Suppose t*p - 193 = 419. What is the hundreds digit of p?
1
Let s(d) = -31*d + 16. Let o be s(2). Let q be ((-34)/(-6))/(4/(-12)). Let y = q - o. What is the units digit of y?
9
Let b(s) = 2*s**3 + 41*s**2 - 16*s + 51. Let a be b(-21). Let v = 180 + a. What is the units digit of v?
6
Let d = -4160 - -6978. What is the thousands digit of d?
2
Suppose -29*z + 22*z - 3655 = -24*z. What is the units digit of z?
5
Suppose -19*y = -20*y + 3. Suppose z = y*z - 836. What is the hundreds digit of z?
4
Let s(x) be the third derivative of -x**4/24 + 5*x**2. Let t be s(-7). Let d(o) = -o**3 + 8*o**2 + 4*o + 2. What is the units digit of d(t)?
9
Let k(v) be the first derivative of -3*v**4/4 + 2*v**3/3 + 5*v**2/2 - 9*v + 66. What is the hundreds digit of k(-4)?
1
Suppose 4*l + 706 = 2*w, 0*w - l = -4*w + 1398. Let t = -193 + w. What is the units digit of t?
6
Let w(h) = h + 46 - 10 - 17. Let a be w(-13). Let f = a - -42. What is the units digit of f?
8
Let y(j) = -j**2 + 12*j - 13. Let o = 25 + -18. What is the tens digit of y(o)?
2
Let i be 0/(5/(-10)*2). Suppose i - 13 = -f. Let w(t) = -t**3 + 12*t**2 + 18*t + 12. What is the units digit of w(f)?
7
Suppose 0 = 3*k + 5*q - 26, 3*q - 22 = -3*k - q. Suppose k*v + 4 = -6, 4*v = 3*j - 527. What is the tens digit of j?
6
Let q be 4/10*(88/11 + -3). Suppose -h - q*o + 385 = -0*h, 0 = -2*o + 6. What is the units digit of h?
9
Suppose -12*v = 5*v. Suppose -7*n + 9*n - 166 = v. What is the tens digit of n?
8
Let d = -4 + 8. Suppose -d*k + 558 = 2*k. Suppose -26*b + k = -23*b. What is the units digit of b?
1
What is the thousands digit of 2/((-8369)/2790 + (-72)/(-24))?
5
Suppose g - 2*y - 12 = 0, 5*g + 2 = -4*y + 6. Suppose -4*b = 5*f + 7, -g*b = -3*b - 2. What is the tens digit of 27 - ((f - 0) + 1)?
2
Suppose 4*r - 5*g - 865 = 0, -3*g = -5*r + 1154 - 63. Let j(t) = -4*t - 15. Let s be j(-6). Suppose -s*v + 113 = -r. What is the units digit of v?
7
Suppose -4*h - 38*j = -34*j - 39900, -j - 29929 = -3*h. What is the hundreds digit of h?
9
Let j(l) = -l**3 - 5*l**2 - 6*l - 6. Let d(n) = n**3 - n - 4. Let v(q) = 2*q - 4. Let u be v(2). Let y be d(u). What is the units digit of j(y)?
2
Suppose 29*z - 24*z = 675. Suppose 0 = 4*h - 2*k - k - 936, 0 = 4*k + 16. Let n = h - z. What is the tens digit of n?
9
Let c = -72 - -176. Let n = c + -68. Let z = n - -28. What is the units digit of z?
4
Suppose 6*n + 688 + 1814 = 0. What is the units digit of (-3)/(2511/n - -6)?
9
Let v = 11339 + -4712. What is the hundreds digit of v?
6
Suppose 3*g + 2*x = -2*g + 67, 5*g - 62 = 3*x. Let w(n) = n**3 - 14*n**2 + 13*n + 2. Let t be w(g). Suppose -t*h = -h - 55. What is the units digit of h?
5
Suppose 10*v + 141 = r + 6*v, -5*v - 10 = 0. What is the units digit of (r/(-4))/(5 + (-246)/48)?
6
Let q = 3196 + -835. What is the thousands digit of q?
2
Let j = 193 + -203. Let k(b) = -b**3 - 7*b**2 + 2*b + 29. What is the units digit of k(j)?
9
Suppose -22472 = -3*u + 5*r, 4*r + 4337 - 26854 = -3*u. What is the units digit of u?
9
Suppose 4*l = -13 + 5, 5*q - 31 = -2*l. What is the units digit of (-3)/(21/q)*(-64 - -1)?
3
Let x(y) = -13*y - 5. Suppose 2*w + 3 = 3*w. Suppose -o - 11 = 4*m - 2*m, 5*m = w*o. What is the units digit of x(o)?
0
Suppose -18*u = -29 - 7. What is the tens digit of (-80)/5*(-8)/u?
6
Suppose 4*c = 5*f + 17, 3*f = 4*c + f - 14. Let h = 9 - 5. Suppose -153 = -4*l - c*o + 138, 0 = h*l + 5*o - 293. What is the units digit of l?
2
Let m be -1 + (-2043)/(-21) - (-4)/(-14). What is the units digit of (4*(-8)/m)/(1/(-231))?
7
Suppose 8*b - 50 = 22. Let k = b - 8. Let r = k - -85. What is the tens digit of r?
8
Suppose -62*q + 180 = -71*q. What is the tens digit of 380*q/125*-5?
0
Let n(q) = q**2 - 2*q - 7. Let s be n(-3). What is the hundreds digit of (-774)/(-2) + s/8 + 2?
3
Let u(r) = -r**3 - 18*r**2 + 12*r - 24. Let a be u(-18). Let p = a - -686. What is the hundreds digit of p?
4
Let k(l) = -l**3 + l**2 + l. Let j(h) = 55*h**3 - 3*h - 3. Let b(d) = j(d) + 2*k(d). What is the hundreds digit of b(2)?
4
Suppose 4*w - 15426 = 8*w - 6*w. What is the hundreds digit of w?
7
Let c = 76 - -212. Suppose -87*k = -91*k + c. What is the units digit of k?
2
Suppose 5*w - u = 15, -3*w + 11 = -5*w - 3*u. Suppose -5*q + 388 = -w*q + 2*z, z + 1 = 0. What is the hundreds digit of q?
1
Let f(c) = 7*c**2 + 60*c + 130. What is the hundreds digit of f(-38)?
9
Let g = -29 - -32. Suppose j - 4*j - g = 3*o, -4*o + 4*j = -20. Suppose -o*a = 2, 2*a = 4*l - 2*a - 396. What is the tens digit of l?
9
Let w(d) = 5*d + 0*d - 4*d**3 - 6 + 5. Let c = 347 + -350. What is the units digit of w(c)?
2
Suppose -5*c + 10 = 0, -2*l + 0*c = 5*c - 16064. What is the hundreds digit of l?
0
Suppose 0 = -15*w + 14*w. Suppose -5*b - 235 - 115 = w. What is the units digit of 91*(-12)/b*5?
8
Suppose 111*y = -30*y + 895914. What is the units digit of y?
4
Suppose 33*x - 177581 = 60910. What is the tens digit of x?
2
Let b be -1*-4*(-65)/(-5). Suppose 0 = 53*j - b*j - 426. What is the hundreds digit of j?
4
Suppose 119*s - 387904 - 252554 = 0. What is the units digit of s?
2
Suppose -5*x = -5*q + 347 + 18, -x = -3*q + 83. Let k = x - -100. What is the tens digit of k?
3
Let h be -23*((-192)/28 + (-4)/28). Suppose 3*b = h + 181. What is the tens digit of b?
1
Let s = -33 - -29. Let t be 10 - (s + (6 - -1)). Suppose t*b = 2*b + 70. What is the tens digit of b?
1
Suppose 9501 = r - 2*s, 28497 = 3*r + 2*s - 5*s. What is the thousands digit of r?
9
Suppose -2*a + 5*n + 0*n = -6, 2*n + 9 = 3*a. Suppose -3*k = q + 3, 3*q = -5*k - 12 + a. What is the tens digit of (-74)/(6/(-3 + k) - 0)?
3
Let b(s) = 2280*s - 110. What is the hundreds digit of b(2)?
4
Let d = 48 - 47. Let v(u) = 1 + 221*u - 230*u + d. What is the tens digit of v(-5)?
4
Let q = 426 + -47. Let x = q + -166. What is the units digit of x?
3
Suppose 4*l - 4*g + 7*g - 119 = 0, -5*l - 4*g = -149. Suppose l + 86 = 5*v. What is the units digit of v?
3
Let f(v) = v**2 - 2*v - 1. Let b(d) = 7*d**2 - 21*d + 51. Let a(g) = b(g) - 6*f(g). What is the hundreds digit of a(-15)?
4
Suppose -2*j + 15*h = 10*h - 17132, 25648 = 3*j + 5*h. What is the thousands digit of j?
8
Let s be -4 + 19/(38/(-396)). Let o = -123 - s. What is the tens digit of o?
7
Let t(z) = 2*z**3 + 23*z**2 + 2*z + 12. Suppose 51 = -8*c - 37. What is the tens digit of t(c)?
1
Suppose 42*a - 18*a + 11*a = 205205. What is the hundreds digit of a?
8
Let u(p) = 4*p**2 + 21*p - 40. Let m be u(3). Let f be (-2)/2 - (-2 + 0). Suppose f = 6*a - m. What is the tens digit of a?
1
Suppose 0 = -107*s + 106*s + 5. Suppose s*h + 3704 = 13*h. What is the units digit of h?
3
Let y = -297 + 517. Let a be ((-35)/5 - -6) + y + 1. Let l = -121 + a. What is the units digit of l?
9
Let f = 10095 - 5932. What is the units digit of f?
3
Let z(x) = x**2 - 8*x - 16. Let o be z(10). What is the units digit of 24 - 6*o/(-8)?
7
Let o(g) = 25*g**2 - 3*g - 17. Let v(y) = 50*y**2 - 8*y - 33. Let z(t) = -7*o(t) + 4*v(t). What is the units digit of z(-3)?
5
Let c(d) = -21*d + 10*d + 13*d - 53. Let t(v) = 3*v - 105. Let f(n) = 5*c(n) - 3*t(n). What is the tens digit of f(-22)?
2
Let y(h) = -h**2 + 9*h - 4. Let d be y(6). Suppose d = -a + 19, -4*o + 4*a + 640 = 0. What is the hundreds digit of o?
1
Let g = 695 + -67. Suppose -4*n - 898 = -2*t, -g = 5*t - 5*n - 2893. What is the units digit of t?
7
Let s be 2/4 + 5/(30/(-87)). Let f = s + 15. What is the tens digit of -4 + 1 - (-15 - f)?
1
Let d = -114 - -28. Let f = 159 + d. What is the tens digit of f?
7
Let p = 3104 - -2338. What is the tens digit of p?
4
Let v = -183 - -6503. What is the thousands digit of v?
6
Let k(u) = -u**3 + 14*u**2 + 15*u + 1. Let l be k(15). Let m(v) = 52*v**3 - 4*v**2 + v + 1. What is the units digit of m(l)?
0
Suppose 0 = -11*v - 6 + 6. Suppose v = -3*j - 3, 4*z - 5*j - 360 = 929. What is the hundreds digit of z?
3
Suppose 91*f + 643 - 16750 = 0. What is the units digit of f?
7
What is the tens digit of (313 + -13)*3 - 0?
0
Suppose -2*i = -5*i + 27. Suppose -3*t = 5*k + i, 3*t - 7*t - 5*k = 7. Suppose 5*b = f - t*f + 264, 3*f = 4*b - 196. What is the units digit of b?
2
Let b = -58 - -60. Suppose 5*j - 462 = 4*j + b*k, 4*k + 1386 = 3*j. What is the units digit of j?
2
Let u(q) = -q - 44. Let t(z) = 15. Let k(v) = 11*t(v) + 4*u(v). Let l be k(-5). Suppose 60 = 3*b - l. What is the tens digit of b?
2
Let i(r) = 3*r**2 - 6*r - 1. Let g be i(3). Let l(p) = 43*p**3 + 5*p**2 + 1. Let x be l(1). Let f = x - g. What is the units digit of f?
1
Let m(s) = 5*s**2 + 7*s - 72. Let b be m(7). What is the tens digit of b + -5 + 12/4?
2
Let w(r) = -6*r - 12. Let s be w(-2). Suppose -11*t + 752 + 1261 = s. What is the tens digit of t?
8
Let f = 15 - 10. What is the units digit of 138 + (9 - 15/f)?
4
Let k be (-3 + 3)*3/6. Suppose -2*i + 1839 = 5*x, k*x - 3*i = -2*x + 728. Suppose 5*u = -6*a + 3*a + x, 0 = -3*u - 5*a + 217. What is the tens digit of u?
7
What is the hundreds digit of 35*13/(-91)*1/((-5)/749)?
7
Let z(x) = 2*x**3 - 10*x**2 + 2*x - 21. Let g be z(9). Suppose -9*i = -12*i + g. What is the tens digit of i?
1
Suppose -2*w - 2*n + 12894 = 0, -12*w + 19351 = -9*w - 2*n. What is the hundreds digit of w?
4
Suppose -45520 = -15*j + 68000. What is the units digit of j?
8
Let z(d) = -d**3 + 11*d**2 + 23*d - 10. Let l(s) = -s**2 - 9*s + 2. Let y be l(-8). What is the units digit of z(y)?
0
Suppose -3 = 2*t - 1. Let l(d) = -2*d**2 + 17*d - 23. Let q be l(7). What is the units digit of (t - (-1)/q)*(-16 + 2)?
1
Let w(i) = -462*i + 121. What is the thousands digit of w(-3)?
1
Suppose -2*o + 11414 = 2*l, 5713 = 435*o - 434*o - 5*l. What is the units digit of o?
8
Let w(b) be the second derivative of b**4/6 + b**3/2 - 11*b**2 - 6*b. Let p be (4 - -2)/(14/(-7)) + -3. What is the tens digit of w(p)?
3
Suppose 0 = 22*r - 24*r + 110. Let y = -50 + r. Suppose -2*w + 52 = -2*m, -4*w + 91 + 12 = -y*m. What is the units digit of w?
7
Let l(c) = 14*c + 14. Let y be 2 + 2 - 10/(-5). Suppose 2 = 2*d, y*d = o + 3*d - 2. What is the units digit of l(o)?
4
Let s(g) = g**2 - 3*g. Let v be s(3). Suppose v = 22*h - 6*h - 1808. What is the hundreds digit of h?
1
Suppose 3*z - 20 = 16. Suppose -z = -6*i + 12. What is the units digit of (24/30)/(i/20)?
4
Let f(p) = -55 + 0*p + 155 - 3*p + 16*p - p**2. What is the tens digit of f(0)?
0
Let d(v) = -2*v**3 - 15*v**2 - 11*v - 16. Let f be d(-7). Suppose 14*q - f*q = 606. What is the hundreds digit of q?
3
Let p be (23 - 20) + (-1)/2*-2. Suppose -b + p*b = 1176. What is the units digit of b?
2
Let v(b) = b**3 - 17*b**2 - 21*b + 22. Let q be v(18). Let p = 183 + q. What is the hundreds digit of p?
1
Suppose -3*h + 23 = -16. Suppose -20 = 10*l - 5*l, -3*d + 5*l + 29 = 0. What is the tens digit of (-1 + h)/d - -71?
7
Let q(l) = 5*l**2 - l - 3. Suppose -2*v + 16 = 5*u, -7*v + 10 = -3*v - u. Let w be q(v). Suppose -x + w = 2*x. What is the tens digit of x?
1
Let x(s) = -218*s - 127. What is the units digit of x(-2)?
9
Let k = -567 + 4668. What is the hundreds digit of k?
1
Let d be (3 - 3)*2/4 + 195. Let f = -93 - -196. Let c = d - f. What is the tens digit of c?
9
Let n = 395 - 199. Suppose -5*j - n = -961. What is the hundreds digit of j?
1
Let q = 85 - 82. Let o(l) = l**3 - 7*l**2 + l + 5. Let k be o(8). Suppose 399 = 4*w + 3*u, w = q*u + k + 19. What is the units digit of w?
9
Let t = 1777 - 4457. What is the units digit of (6/4)/((-60)/t)?
7
Let g = 2859 - -1616. What is the thousands digit of g?
4
Let l(s) = -19*s + 42. Let y be l(-3). Suppose 0*r = -r + 4, 3*c + 55 = 4*r. Let f = y + c. What is the tens digit of f?
8
Let t(g) = -3*g**2 + 21*g + 7. Let m be t(7). Let a(s) = -1 + 0 - s**2 + 9*s - 3 - m. What is the units digit of a(5)?
9
Suppose f - 4*f + 3 = 0. Suppose -3*j = -6*j + 5*w + f, -1 = -w. Suppose r = o + 31, -3*o - 59 = -j*r - 4*o. What is the tens digit of r?
3
What is the thousands digit of (-10)/(((-18)/(-28035))/((7/(-5))/7))?
3
Let l(g) = -164*g + 1232. What is the tens digit of l(-30)?
5
Let b(w) = 24*w + 13. Let v(g) = -23*g - 12. Let l(p) = 5*b(p) + 6*v(p). Let u(k) = 19*k + 6. Let r(y) = 3*l(y) + 2*u(y). What is the tens digit of r(-3)?
3
Let x(i) = 3*i - 40. Let r be x(14). Suppose -5*w + 1375 = 5*g, 3*g - 2*w - 1368 = -r*g. What is the units digit of g?
4
Let v be ((-3)/(30/(-28)))/(1/5). Let c(z) = 2*z - 26. Let k be c(v). Suppose -2*o = k*o, 5*u = 2*o + 165. What is the units digit of u?
3
Let t = 13 - -477. Let q = -284 + t. Let p = q + -144. What is the units digit of p?
2
Let s(z) = -409*z + 671. What is the units digit of s(-13)?
8
What is the tens digit of (-8)/84 - 49143*24/(-756)?
6
Suppose -y - 4 = -429. Let l = y + -162. What is the hundreds digit of l?
2
Let c be -234*(-6 + (-42)/(-9)). Suppose c + 3627 = 13*w. What is the units digit of w?
3
Let x = -16974 - -24290. What is the units digit of x?
6
Let j be 2/(5/(-105)*2). Suppose 3*k = -t + 138, k + 132 = 4*k - t. Let a = k + j. What is the tens digit of a?
2
Suppose 4*c - 85*x = -89*x + 31220, -31255 = -4*c + 3*x. What is the tens digit of c?
1
Suppose 3*f + 917 = 3815 + 1977. What is the thousands digit of f?
1
Let i(k) = k**3 - 3*k**2 - 9*k + 1. Let d be i(5). Let v(o) = o**2 - 6*o + 9. Let q be v(d). Suppose -330 = 4*f - q*f. What is the units digit of f?
6
Let z(x) = 0*x**2 + 2*x**2 - 9 - 252*x + 259*x. What is the tens digit of z(-10)?
2
Suppose -2*g = m - g + 5, 5*g + 20 = 0. Let j be (-1)/2*(-10 - 64). What is the units digit of (j/2 - 5) + m/(-2)?
4
Let t(s) = 103*s - 27. Suppose 5*f + 35 = 55. What is the hundreds digit of t(f)?
3
Suppose -5875 = 41*s - 46*s - 5*a, 0 = -s + 5*a + 1157. What is the units digit of s?
2
Let n(x) = -x**3 + 3*x**2 + 5*x - 6. Let u be n(5). Let z = 30 + u. What is the tens digit of -6 + 60 + (z - 1)?
5
Suppose -r + 20 = 16. Suppose 2*w + 16 = 4*g, -g - r*g + 4*w = -20. Suppose -5*s + 2*s - g*m = -162, 12 = -4*m. What is the units digit of s?
8
Let l = -1896 - -1251. Let z = 1068 + l. What is the units digit of z?
3
Let t(m) = -5*m**2 + 104*m + 5. Let q be (-2 + 4)*195/26. What is the units digit of t(q)?
0
Suppose -61*s + 974 = -33247. What is the tens digit of s?
6
Suppose -2*t - 33 = w - 0*w, 2*t - 4*w = -28. Let g = t - -19. Suppose h = 0, -g*k = -h - 2*h - 30. What is the tens digit of k?
1
Let g(s) = 122*s**2 - 21*s - 132. What is the units digit of g(-9)?
9
Suppose 9*b - 4*b + 163768 = 27*b. What is the hundreds digit of b?
4
Let k = -2097 + 5294. What is the hundreds digit of k?
1
Let c = -3 - 1. Let f(v) = -5*v - 2*v + 10 - 13 - 7. What is the units digit of f(c)?
8
Suppose -5*c + 2*u + 490 = 0, 5*u - 156 = -4*c + 203. Suppose -2*q - 3 - 59 = 3*x, -4*q + x - c = 0. Let m = q - -45. What is the tens digit of m?
2
Let i be 20442/16 + 21/56. What is the tens digit of (2/8*(i + -10))/1?
1
Let j be (12/10)/((-18)/(-1230)). Suppose -j = -a - n + 227, 1517 = 5*a - 2*n. What is the hundreds digit of a?
3
Suppose -k - 4*f = 4, 2*k + k - 2*f = 2. Let i(l) = -33 + 3*l + k*l + 59 - 28. What is the tens digit of i(4)?
1
Let z(r) = 2 + 135*r**2 - 3*r**3 - 118*r**2 + 2*r**3 + 36*r. What is the hundreds digit of z(18)?
3
Let d be (4 + -4)/(1 + 0). Suppose 5*x - 570 = -2*q, 4*q - 244 = -d*x - 2*x. Suppose 0 = 4*n + x - 300. What is the units digit of n?
7
Let k = 5943 + 3398. What is the tens digit of k?
4
Let d = -48 + 46. Let i be 141 + (3 - d - 4). Suppose 5*k = -4*s + 2*k + i, 0 = -5*k - 10. What is the units digit of s?
7
Let k = -550 + 345. Let u = 417 + k. What is the hundreds digit of u?
2
Suppose -44*c + 43*c = 0. Let a be c/(4 + (-10)/2). Suppose a = d + 11 - 32. What is the tens digit of d?
2
Let k(n) = 15*n - 9. Let q(d) = -7*d + 5. Let w(j) = -2*k(j) - 5*q(j). Suppose 4*r + 7*y = 5*y + 26, 3*y = -2*r + 3. What is the tens digit of w(r)?
3
Suppose 0 = j - 3*a - 33, 2*j + 0*j = 3*a + 63. Suppose j*c - 18 = 28*c. Suppose c*u - 47 = 8*u. What is the tens digit of u?
4
Suppose 0 = 4*d + 5*r - 23, 0 = 3*d - 5*d - 5*r + 19. Suppose 0 = -d*q + q. Let z(o) = -o**3 - o**2 - 2*o + 91. What is the units digit of z(q)?
1
Suppose -4*u + 13 = -z - 16, -4*u + 46 = -2*z. Suppose -4*h - 8*x = -4*x - 108, -3*x = 5*h - 143. Let f = h + z. What is the units digit of f?
4
Let i = 3819 - -3312. What is the tens digit of i?
3
Let o(y) = y**3 + 11*y**2 - y - 14. Let r be o(-11). Let q(x) be the first derivative of -x**2 + 8. What is the units digit of q(r)?
6
Let i(y) = 2*y**2 + 6*y - 33. Let d be i(-14). Let u = -29 + d. What is the units digit of u?
6
Let l(r) = -74*r**3 + r**2 - 5*r + 12. What is the hundreds digit of l(-5)?
3
Let t = -34 + 84. What is the units digit of (3 + 196/20)/(4/t)?
0
Let y(a) = a**3 + 6*a**2 - 13*a - 37. Let b be y(-7). Suppose 615 = b*u + 5*m, -u = -4*u - 5*m + 365. What is the hundreds digit of u?
1
Let i(n) = -4*n**3 - 10*n**2 - 3*n + 6. Let k be i(-7). What is the tens digit of (-3)/(-12) - k/12*-1?
7
Let r = 7969 + -3154. What is the units digit of r?
5
Suppose 3*l + 15996 = 3*k - 0*l, 3*l - 21307 = -4*k. What is the hundreds digit of k?
3
Let d(m) be the second derivative of m**5/20 + 19*m**4/12 + 5*m**3/3 - 27*m**2/2 - 44*m. What is the units digit of d(-17)?
1
What is the tens digit of (-1)/(4 + 1) - (-301516)/430?
0
Let l = -4061 - -4999. What is the units digit of l?
8
Suppose 0*l + 6453 = 8*l - 1043. What is the tens digit of l?
3
Suppose 0 = -91*p - 83*p + 173*p + 1861. What is the tens digit of p?
6
Let x(c) be the first derivative of 1/4*c**4 - c + 10 + 3*c**2 - 2/3*c**3. What is the tens digit of x(3)?
2
Suppose i = 5*q - 0*i - 20, -5*q + 30 = -3*i. Suppose 2*c - q*v = 631, 0 = -5*c - 0*v + 3*v + 1564. What is the tens digit of c?
1
Let h(u) = -31*u**3 - 18*u**2 - 90*u - 15. What is the thousands digit of h(-6)?
6
Let j = 59 - 47. Let b(f) be the third derivative of -f**6/120 + 13*f**5/60 - 5*f**4/12 + 2*f**2. What is the units digit of b(j)?
4
Suppose -7*g + 9*g - 714 = 0. Suppose -11*t + g = -4373. What is the hundreds digit of t?
4
Let y(u) = -108*u**3 - 3*u**2 - 14*u - 5. What is the hundreds digit of y(-2)?
8
Let t = 78 - 12. Let a = 181 - 91. Suppose 0 = 2*y - a - t. What is the tens digit of y?
7
Let b = 31 + -29. Suppose -q - 2*h - b*h = -16, 4*h - 16 = 0. Suppose 4*n = -3*p + 152, 2*n + q*p = -p + 74. What is the units digit of n?
5
Suppose -3 = -i + 6*i - y, 3*i + 4*y = 12. Suppose -2*a + 4*q = -130, 0 = 2*a + q - 14 - 101. Suppose -7*m + a + 74 = i. What is the tens digit of m?
1
Let a = 8418 - 3119. What is the tens digit of a?
9
Let w = 16457 + -9413. What is the hundreds digit of w?
0
Let r(v) = -v**2 - 7*v - 6. Suppose 5*d + 0 = 3*k - 24, 4*k = 3*d + 10. Let b be r(d). Suppose 5*p + 0*h - 333 = 4*h, 3*h + 6 = b. What is the tens digit of p?
6
Let m = -15 - -17. Let c(w) = 2*w**2 + m + 6*w + w**3 + 4*w**2 - 4*w. What is the units digit of c(-3)?
3
Let w = -11590 - -17700. What is the hundreds digit of w?
1
Let x = 2527 - 865. What is the hundreds digit of x?
6
Suppose -8*p = -9*p + 2. Suppose 0*o = -p*o - 2*y + 16, -24 = -3*o - 4*y. Let m(j) = 2*j + 26. What is the tens digit of m(o)?
4
Let i = 16 + -16. Suppose i = -3*d - 5*d + 16. Suppose d*g = -2, -3*g - 27 = -2*h + 58. What is the tens digit of h?
4
Let t be 462*(0 + (-16)/(-6)). Suppose 3*w = -f + t, -5*w + 1431 = 2*f - 621. What is the hundreds digit of w?
4
Suppose 207669 = 127*h - 412950 - 294543. What is the thousands digit of h?
7
Suppose 3*q + 5 + 4 = -4*h, -4*q = 3*h + 12. Let g be (-1 - h)*(25/(-5) - 2). What is the tens digit of (1 + 0)/(g/77)?
1
Let c(r) = -r**3 - 72*r**2 + 34*r - 624. What is the hundreds digit of c(-74)?
8
Let j be (3 - 1)/(3/((-9)/(-3))). Suppose j*h = -26 + 426. Suppose 51*b - h = 47*b. What is the tens digit of b?
5
Let l = 4534 + 4566. What is the hundreds digit of l?
1
Let j(a) = -2*a**3 + 22*a**2 + 8*a**3 - 2*a**3 + 3*a - 23*a**2 - 1. Let s be j(2). Let u = s + -15. What is the tens digit of u?
1
Let n be 1/(((-16)/(-60))/(-4)) - -1. Let z = n + 42. Suppose -4*w + 0*w - 18 = -x, x - z = 2*w. What is the units digit of x?
8
Let p = 21 - 25. Let l be (-30)/(-25) - p/5. What is the units digit of (-3)/21 - (l - (-477)/(-7))?
6
Suppose -2*l = 3*a - a - 66, a + 2*l = 37. Let z be -11 + 0 + 3 + -2. Let s = a + z. What is the units digit of s?
9
Suppose -289*y + 7434 = -287*y. What is the hundreds digit of y?
7
Suppose 0 = -2*d + 2. Suppose -d = -m + 4, -1 = -3*p + m. Suppose 2*r + a = -p*a + 11, -r = -3*a - 19. What is the tens digit of r?
1
Let j(d) = 10*d**2 - 8*d + 8. Let i be j(1). Suppose 2*n - 11 = -3*g + 5, -5*n = -i. What is the units digit of g?
4
Let b be (-2)/7 + (-111)/42*-2. Suppose -b*p - 3*l + 1980 = 2*l, -2*l - 1554 = -4*p. Suppose -5*o + p = -5*g + 66, -5*g = -20. What is the tens digit of o?
6
Let z = 21470 - 14529. What is the hundreds digit of z?
9
Let i = -135 - -35. Let z = i - -188. What is the units digit of z?
8
Suppose -17*n + 31248 = 4*w - 18*n, -4*w - 2*n = -31236. What is the hundreds digit of w?
8
Suppose 0*h - 8*h - 56 = 0. Let u(o) = -o**3 - o**2 - 14*o + 11. What is the hundreds digit of u(h)?
4
Suppose -55*x - 1782 = -57*x. Let s = x - 426. What is the hundreds digit of s?
4
Suppose -76*x - 340 = -77*x. Let k = x - 28. What is the units digit of k?
2
Let d(i) = 38*i - 82*i - 6 - 2*i**2 - 52 + 5*i**2. What is the units digit of d(19)?
9
Let f(d) = 9*d - 12. Let z be f(2). Let c(j) = 4*j**2 + 16*j - 50. What is the units digit of c(z)?
0
Suppose -3*w = 5*b + 170, 0 = b + 4*w - 11 + 62. Let p = 113 - b. What is the hundreds digit of p?
1
Suppose 0 = -7*c + 10*c + 795. Let i = c - -405. What is the hundreds digit of i?
1
Suppose t - y = -1498 + 6500, t + 4*y - 5007 = 0. What is the tens digit of t?
0
Let d = 54 - 52. Suppose 2*i + 98 - 498 = -d*w, -3*w = 4*i - 597. What is the tens digit of w?
0
Suppose 2*k + 4*w - 7 - 13 = 0, -2*k = -5*w + 25. What is the units digit of (7 - -192) + k + -4?
5
Let n = 694 + -192. What is the units digit of n?
2
Let d = -1103 - -8416. What is the units digit of d?
3
Let b be 6/(-8) + (-5)/(120/(-18)). Suppose -2*y + 0*y = -4*v + 308, b = 2*v - 3*y - 154. What is the tens digit of v?
7
Let c(v) = -2*v + 24. Let o be c(12). Suppose o = -q - 3*q + 16, h - 5*q + 20 = 0. Suppose h*w + 168 = 4*w. What is the units digit of w?
2
Let d(v) = 18*v - 78. Let s be d(15). Suppose -5*f + s + 783 = 0. What is the tens digit of f?
9
Let b(h) = 2*h**3 - 4*h**2 - 5*h + 4. Let a be b(3). Let t(d) = -5*d**3 + 4*d**3 + 21 - 10*d - 4 + 10*d**2. What is the tens digit of t(a)?
9
Let a be (-2)/(-11) + (-453)/11. Let y = 94 + a. What is the tens digit of y?
5
Let h(z) = 182*z**2 - 3*z + 2. Let f(l) = 3*l + 43. Let d be f(-14). What is the hundreds digit of h(d)?
1
Let p = 296 - -6287. What is the thousands digit of p?
6
Let h = 45 + -45. Suppose -21*j + 6450 + 1950 = h. What is the units digit of j?
0
Let u = -5282 - -10145. What is the units digit of u?
3
Suppose 183*k - 136200 = -10*k + 304226. What is the tens digit of k?
8
Let f be (-12376)/(-21) + (12/(-9) - -2). Suppose 4*o = f + 838. What is the hundreds digit of o?
3
Let h(m) = -2*m + 10. Let f be h(3). Suppose -4*b - f*z = -1696, -8*b - 440 = -9*b + 3*z. What is the tens digit of b?
2
Suppose 0 = -5*r + 11731 + 15994. What is the tens digit of r?
4
Let c be (12/1)/(-10 + 11). Let v(p) be the second derivative of -p**5/20 + 11*p**4/12 + 3*p**3 - 6*p**2 + p. What is the units digit of v(c)?
0
Let l = 11418 - 6922. What is the hundreds digit of l?
4
Let c(l) = -158*l + 349. What is the tens digit of c(-21)?
6
Let t(a) = 1785*a - 17. Let v be t(1). Suppose -10*w - 3*w = -v. What is the units digit of w?
6
Let g(s) = -s**3 - 4*s**2 + 4*s - 2. Let v be g(-5). Suppose -2*p - 2 = 4*m, -2*p - v*p - 5 = -2*m. Suppose -2*c + 6 + m = 0. What is the units digit of c?
3
Let t(j) = -j**3 - 4*j**2 + 9*j - 1. Let k be t(-7). Let f be 2/(-3) - k/(-3). Let u = f - 0. What is the tens digit of u?
2
What is the thousands digit of (-68)/187 - (-1 - 102192/66)?
1
What is the units digit of ((9/(-12))/((-1)/2))/((-36)/(-65184))?
6
What is the units digit of 1*-2689*(-361 + 360)?
9
Let b = -133 - -136. Suppose b*s = 1198 - 61. What is the tens digit of s?
7
Let x be 10 - 13 - (-4 + -1). Suppose -179 = -x*t + 2*r + 11, 15 = -3*r. What is the units digit of t?
0
Let j be 3 + (-14)/6 - 9865/(-3). Suppose v = 12*v - j. What is the tens digit of v?
9
Let w(o) = 181*o - 295. What is the hundreds digit of w(25)?
2
Let h(i) = i**3 + 5*i**2 - 7*i - 4. Let r be h(-6). Let t(o) = -2*o**r + 8 - 15*o**3 + 16*o**3 - 4*o**2 - 10*o + 4*o**2. What is the units digit of t(6)?
2
Let o = 163 - 167. What is the units digit of 872*(-5 + (-22)/o)?
6
Let r = -6204 + 14957. What is the tens digit of r?
5
Let t(n) = 2*n**3 - 8*n - n**3 - 7 - 5 - 14*n**2. What is the tens digit of t(15)?
9
Let i be 43/(-1*(1 + 0))*1. Let d = i - -42. What is the units digit of (96/36)/(d/(-18))?
8
What is the thousands digit of (3 - (-12 + 5)) + 4112?
4
Suppose u = -j + 9380, -u - 3*j + 4974 = -4414. What is the thousands digit of u?
9
Let x(d) = 179*d - 120. What is the units digit of x(40)?
0
Suppose 5*s + 7*s + 5533 = 17941. What is the hundreds digit of s?
0
Suppose -4*b = 5*q - 855, -2*b + 3*q + 17 = -416. Suppose 0 = 2*t - 4*m + 282, 72 = -2*t - 5*m - 183. Let z = t + b. What is the units digit of z?
0
What is the tens digit of ((-37704)/(-32))/(6/16)?
4
Let u(r) = 55*r**2 - 19*r - 161. What is the hundreds digit of u(-11)?
7
What is the hundreds digit of 21/(-14) + (-47076)/(-8)?
8
Suppose -l - 126 = j + 64, 5*j + 968 = l. Let f = j + 342. What is the hundreds digit of f?
1
Suppose -3*x + 34 = 5*b, 4*b - x = 3*x + 8. Let n be (b + 0)/((-1)/156). What is the tens digit of 9/6 + n/(-8)?
9
Let a = -57 - -33. Let c = 14 + -25. Let m = c - a. What is the units digit of m?
3
Suppose -t + 22 = 14. Let s = -7 - -21. Suppose 0 = s*n - t*n - 570. What is the tens digit of n?
9
Let w = -23 + 27. Suppose b = w*x - 3*x, -x + 5*b = 0. Suppose x = -11*f + 10*f + 88. What is the tens digit of f?
8
Let q = -2 + -1. Suppose 176 = -163*p + 207*p. What is the units digit of p/(-6) - 20/q?
6
Let j(d) = d**2 + 6 + 0*d**2 - 4*d - 6*d. Suppose -2*q = 4*n - 18, 5*q + 15*n = 12*n + 66. What is the tens digit of j(q)?
8
Let u(i) = -2573*i + 231. What is the thousands digit of u(-2)?
5
What is the units digit of -3 + (10 - (9 - 756))?
4
What is the units digit of 9023 - ((-35)/(-7) - 2)?
0
Let h = 8183 + -3491. What is the units digit of h?
2
Let a(k) = k + 2*k**2 + k - k. Let s be a(-3). Suppose 55 + s = 2*v. What is the tens digit of v?
3
Suppose 3*o - 43 = 38. What is the units digit of (-1737)/(-12) + 3 + o/(-36)?
7
Let c = 58 - -1048. What is the units digit of c?
6
Let u(a) = -a**2 + 18*a + 14. Let i be u(13). Let k = -49 + i. Let z = k - -52. What is the tens digit of z?
8
Suppose -5*w = 8*w - 52. Suppose -w*p + 6*p = 42. What is the tens digit of p?
2
Let b = -1726 - -733. Let l = 1444 + b. What is the units digit of l?
1
Let l = 1728 + 3663. What is the hundreds digit of l?
3
Suppose 3*d = 5*d + 12. Let c(l) = 2*l + 13. Let f be c(d). Let v(z) = 60*z**3 - 2*z + 2. What is the units digit of v(f)?
0
Suppose -139 - 23 = 6*y. Let s = 354 - y. What is the units digit of s?
1
Let i(d) = -d + 8. Let z be i(-10). Suppose z*n = 15*n. Suppose 3*k = -0*m + 3*m - 153, -5*m - 4*k + 210 = n. What is the tens digit of m?
4
Let u(g) = -g**3 + 10*g + 14. Let h = 77 - 83. What is the hundreds digit of u(h)?
1
Suppose -k - 5880 - 16397 = -3*l, -5*k - 29710 = -4*l. What is the thousands digit of l?
7
Let y = -117 + 67. Let w = -54 - y. What is the units digit of (51/12)/(w/(-16))?
7
Let n(k) = 94*k + 252. What is the tens digit of n(20)?
3
Let g = 4 - 0. Let z(j) = j**2 + 20*j + 19. Let d be z(-19). Suppose -2*o - q + 188 = 3*q, d = -5*o - g*q + 488. What is the tens digit of o?
0
Suppose 208*d + 5877 = 217*d. What is the tens digit of d?
5
Let j(o) = 3*o**2 + 11*o + 29. Let x be j(-10). Let f = x + -146. What is the units digit of f?
3
Suppose 4*f - 4 = 4*i, 4*f - 2 = i - 1. Let t be i + (-5)/(-4) + 6405/28. Suppose 2 = -2*m, m + 3 = 3*u - t. What is the tens digit of u?
7
Suppose -114*n + 118557 = -380782 - 279395. What is the thousands digit of n?
6
Let c(a) = -a + 1. Let v be c(-8). Suppose 6*o = -4*o + 630. Suppose -o = -u - v. What is the units digit of u?
4
Let i = 8899 + -2254. What is the hundreds digit of i?
6
Let j = 2281 - 1493. Suppose -5*p + 7*p + 4*f = j, f - 390 = -p. What is the hundreds digit of p?
3
Let h(u) = -4 - 3 + 4 - 13 + 262*u. What is the units digit of h(1)?
6
Let v = -571 + 967. Suppose -2*q = -2*z + v, 381 = -z + 3*z - 5*q. What is the tens digit of z?
0
What is the tens digit of ((-314)/28 + (-4)/14)*(85 - 251)?
0
Suppose 145148 = 50*x - 40802. What is the units digit of x?
9
Suppose x + 5240 = 2*q - 7616, -4*x = -q + 6435. What is the units digit of q?
7
Let y(g) = -g**3 - 23*g**2 + 21*g - 24. Let n be y(-24). Suppose -n = -48*m + 45*m. What is the units digit of m?
6
Let r be 0 - (-3 - -8)/5 - 3. What is the units digit of (-6)/r*3058/11?
7
Let c = 21 - 12. Suppose -c*r = -10*r + h + 24, 4*r + 4*h - 120 = 0. What is the units digit of r?
7
What is the hundreds digit of (5/(-4))/((-94)/321856)?
2
Suppose 33*n - 41*n = 96. What is the units digit of (43/3)/(n/(-144))?
2
Let s = 13374 + -5056. What is the units digit of s?
8
Suppose -88*y = -63*y - 2025. What is the units digit of y?
1
Let f(s) = s**2 + 4*s - 6. Let x be f(-5). Let r be x/(2/8) + 6. Suppose 8*t = r*t + 420. What is the units digit of t?
0
Let n be (6/2)/(2*1/2). What is the hundreds digit of n + -5 + 2079/9?
2
Suppose 36*y + 16680 = 39*y + 3*h, 3*y - 16672 = -h. What is the units digit of y?
6
Let r(z) = -5*z**3 - 2*z**2 + 3*z - 2. Let v be r(1). What is the tens digit of (-13 + 16)*(-748)/v?
7
Let u = -227 - -231. Suppose 2*n - 44 = -2*i + n, 2*i = -u*n + 38. What is the units digit of i?
3
Let l(h) = 2*h + 20. Let t be l(-9). Let w be 6/t*-3*(-1)/3. Suppose -4*r = -4*f - 152, -w*f - 17 = 2*r - 78. What is the units digit of r?
5
What is the units digit of (-4)/((-81)/216 - 20895/(-55848))?
4
Suppose -5*g + 0 = -10, -31 = q - g. Let o = q - -36. What is the tens digit of (-5 + o)*-4*(1 + -3)?
1
Let n = -2311 - -4576. What is the thousands digit of n?
2
Let i = 3516 + 2364. What is the hundreds digit of i?
8
Let o = 10467 + -4323. What is the units digit of o?
4
Suppose 0*q + 2*q = c, 2*c = 8. Suppose 0 = -3*x + q*s + 849, x - 115 = -4*s + 168. What is the units digit of x?
3
Let s(v) be the first derivative of -5*v**2/2 - 4*v + 16. Let y be s(-10). Let l = y - 44. What is the units digit of l?
2
Suppose 0 = 6*c - 766 + 2740. Let w = 635 + c. What is the units digit of w?
6
Suppose 3*b + 2 = -0*b + 2*w, -b = -w + 2. Suppose 0 = -b*m - 2*s + s + 207, 4*m = -3*s + 419. What is the tens digit of m?
0
Let u be (-132)/12*(-12 + -1). Suppose b - 36 - u = 0. Let d = b - 122. What is the units digit of d?
7
Suppose -n - 2*l = 2*n + 115, -5*n + 3*l - 179 = 0. Let h(z) = z**2 - 3*z + 9. Let d be h(-9). Let u = d + n. What is the tens digit of u?
8
Let g(c) = -246*c + 28. Let p be g(-9). What is the units digit of 2/11 - p/(-11)?
4
Let r = -12850 - -22578. What is the thousands digit of r?
9
Suppose -z = -5*l - 5 - 86, 2*l = 3*z - 260. What is the units digit of z?
6
Suppose 5*p = -5 + 15. Suppose 4*n + 324 = 2*z, -n + 137 = z + p*n. What is the hundreds digit of z?
1
Suppose -192 = c - 5*c. Let y(b) = -b**3 + 7*b**2 + b + 17. Let p be y(8). Let f = c + p. What is the units digit of f?
9
Let d be (657/15)/(1/5*1). Let t = d + -123. What is the tens digit of t?
9
Suppose -3*j - 4795 = -5*u, 46*j - 47*j = 5. What is the tens digit of u?
5
Suppose 688 = 4*j + 2*r, 5*j + 27*r - 25*r = 862. What is the hundreds digit of j?
1
What is the tens digit of 15*561/55*22?
6
Let d be (-12)/(-8)*10 - (-2 + -2). Suppose -d*l + 1428 = -2258. What is the hundreds digit of l?
1
Suppose -16*r + 120 = -10*r. Suppose 0 = 3*k + r - 50. What is the units digit of (-8 - -9)/(2/k)?
5
Suppose -6 = 3*t, 4*k - 8*t + 7*t = 1182. Suppose -n - 3*x = -3*n + 595, n - k = 2*x. What is the hundreds digit of n?
3
What is the units digit of (-35121)/(-115)*30/18?
9
Suppose 0 = -3*l - 79 + 85. What is the hundreds digit of l + 442 - (-1 + 0)?
4
Let n(v) = 103*v + 42. Let z be n(-2). Let w = z + 308. What is the tens digit of w?
4
Suppose f = 3*z + 642, -f - 7*z + 4*z = -612. Suppose 2*b + 0*o - 3*o = 603, -f = -2*b - 5*o. What is the hundreds digit of b?
3
Let z be (0 - -1)*(-51)/(-17). Suppose -8*a + 60 = -z*a. What is the units digit of (a/10)/(1/40)?
8
Let m be 4/(-2) + -1 + (1 - -44). Suppose -m - 243 = 3*j. Let t = 167 + j. What is the tens digit of t?
7
What is the tens digit of (2792/12)/(68/2754)?
2
Let h(v) = v**3 + 17*v**2 - 41*v + 12. Let z be h(-19). Suppose -u + z = -60. What is the tens digit of u?
2
Suppose -17995 = -5*w - m, 4*w = 181*m - 182*m + 14396. What is the units digit of w?
9
Let d be (-4)/6 + (-64)/12. What is the units digit of 1/(6*d/(-612))?
7
Let o be -1*((8 - 0) + -4). Let n(v) = 5*v**2 + 3*v + 2. Let z(y) = -14*y**2 - 8*y - 7. Let c(t) = -8*n(t) - 3*z(t). What is the tens digit of c(o)?
3
What is the units digit of (-10 - -2 - -10)*(0 + 3583 + -3)?
0
Suppose -2396 = -d - 2*w, w = 5*d + 4*w - 11980. What is the thousands digit of d?
2
Suppose -3*w - 1236 = u, 10*w - 8*w = 2*u - 832. Let g = w + 851. What is the tens digit of g?
3
Let k be 5 + -7 - (2 - 11). Suppose 4250 = k*y + 3*y. What is the hundreds digit of y?
4
Let f = -1325 + 7513. What is the tens digit of f?
8
Let l(p) = -3*p - 10. Let s be l(-4). Suppose -s*g + 17*g = 6195. What is the tens digit of g?
1
Let o(u) = 44*u - u - 10 + 1. What is the units digit of o(6)?
9
Suppose -184 = -3*x + w, -41 - 262 = -5*x - 2*w. Let l = -84 + 199. Let r = l - x. What is the units digit of r?
4
Suppose 3*m - 3 = 0, -m - 3*m + 12 = 2*g. Let y(o) be the third derivative of 13*o**4/24 - 5*o**3/6 - 66*o**2. What is the tens digit of y(g)?
4
Let f(q) = q**2 + 9*q + 8. Let u be f(-8). Suppose -2*v + 0*v + 462 = u. What is the units digit of v?
1
Let r = 43 + -41. Suppose -4*z - 2*u - 2*u + 8 = 0, r*z - 1 = -3*u. Suppose -h - 3*s + 103 = 2*s, z*h = 4*s + 370. What is the tens digit of h?
7
Let a(u) = 1327*u**3 - 2*u**2 + 2*u - 2. What is the tens digit of a(1)?
2
Let s = 5620 + 3687. What is the tens digit of s?
0
Let a = 15049 - 9938. What is the hundreds digit of a?
1
Let c = -221 + 228. Suppose -c*a = -738 - 2342. What is the tens digit of a?
4
Suppose -3*j - 25 = -4*j. Suppose 9*z - 29 = j. Let g(f) = 14*f + 13. What is the tens digit of g(z)?
9
Suppose 5*w + 1258 + 235 = d, d - 1443 = -5*w. What is the tens digit of d?
6
Let q(y) = 903*y - 1872. What is the thousands digit of q(12)?
8
Suppose -29 = 2*k + 3*f, f = 20 - 23. Let q(i) = 0*i**2 + 3*i**2 - 2*i**2 - 13 + 6*i. What is the tens digit of q(k)?
2
Let t be (10/5 - 4)/(-1). Suppose t*c = -3*c + 810. Let s = c + -73. What is the tens digit of s?
8
Let t = 59 - -73. Suppose t = 3*q - 132. What is the units digit of q?
8
Suppose -b - 5*f - 40 = 0, -2*b + 3*b + f = -40. Let y be 16*4/(b/(-45)). What is the units digit of y*4/(-3 + 7)?
2
Let i(l) = l**2 + 3*l - 5. Let j be i(2). Let y(q) = -18*q + 7*q + 9*q + 6 + j*q. What is the units digit of y(14)?
8
Let d(b) = 385*b**3 + 5*b**2 - 3*b + 2. Let m be d(1). Let t = m - 233. What is the units digit of t?
6
Suppose v - h = 1085, 5*v + 641*h = 645*h + 5425. What is the units digit of v?
5
Suppose 0 = r + 85*z - 83*z - 5465, 27277 = 5*r - 2*z. What is the units digit of r?
7
Suppose 3*k = 4*z + 43 + 121, -2*z - 112 = -2*k. What is the units digit of (-5)/k*2*-2298?
3
What is the thousands digit of (-28)/(-70)*(-306920)/(-16)?
7
Let y be 58 + -3*(-6)/(-18). Suppose m - 5*g = y, 2*m + 177 = 7*m + 2*g. What is the units digit of m?
7
Suppose -9 = -2*w - w. Let f(t) = -t + 4 - 3 - 10*t + w*t. What is the units digit of f(-8)?
5
What is the hundreds digit of 805/(-161) + (1 - -5224)?
2
Suppose -l - 5*t + 4*t = 815, 0 = t - 5. Let c = l + 1214. What is the tens digit of c?
9
Let x(f) = 6*f**2 + 17*f - 32. Let j be x(-9). Suppose 3*q - 32 = w - 5*w, -3*q = -4*w + 32. Suppose -t - j = -w*t. What is the units digit of t?
3
Let c(x) = 58*x + 15. Let s be c(8). Let t be s - (-1 + 1 - (-2)/1). Suppose -4*i + t = -4*g + 189, -10 = -2*g. What is the units digit of i?
7
Let a(g) = 442*g**2 - 11*g + 49. What is the thousands digit of a(3)?
3
Let v be ((-6546)/6 - 6)*-2. Suppose -5*c + 2*l = -v, 2*c - 4*l = -205 + 1089. What is the hundreds digit of c?
4
Let r be (-27)/(-15) + 9/45. Suppose 2*b - 2 = 0, -3*g + r*b + 1875 = 548. What is the units digit of g?
3
Suppose -16*c + 3*c = -19370. Suppose -94*n + c = -89*n. What is the tens digit of n?
9
Suppose -6*m = 3*v - 10309 - 7232, 2*v - 11695 = -5*m. What is the thousands digit of v?
5
Suppose -10 = -443*o + 441*o. Suppose o*t = -140 + 350. What is the units digit of t?
2
Suppose 0 = -0*z + 5*z - 20. Let d be (-4 + 3)/(-1)*105. Suppose -b + d = z*b. What is the units digit of b?
1
Let i(o) = o**2 + o - 12. Let m be i(9). Let q = m - 39. What is the units digit of 4/1 + q/3?
7
Let j(u) = 10*u + 0 - 9*u**2 + u**2 + 1 + 9*u**2. What is the units digit of j(-20)?
1
Let r(g) = 7*g**3 - 3*g**2 + g + 1. Let o be r(4). Let u = o + -90. What is the hundreds digit of u?
3
Let s = 5 - 14. Suppose -12 = -4*r, i - 18 = 3*r - 7. Let c = i + s. What is the units digit of c?
1
Let g be 0 + -3 - -5 - -51. Suppose 146 + 54 = 5*v. Suppose 0 = -0*p - 4*p + 5*u + g, -v = -3*p + 4*u. What is the tens digit of p?
1
Suppose -3*r - 3 = -6*r + 3*l, 4 = 4*l. Suppose 5*v - 35 = -r*k + 8, -k = -3*v + 17. What is the units digit of -42*-3*v/9?
8
Suppose 37*o = 42*o - 2930. Let x = o - 353. What is the tens digit of x?
3
Let b = 42 + -39. Let d be 7 + ((-15)/b - (1 + -4)). Suppose -d*q - 82 = -6*q. What is the tens digit of q?
8
Let z(r) = -2*r**2 - 11*r - 3. Let a be z(-5). Suppose 3*c - 16 = a*c. Suppose n + c = 68. What is the tens digit of n?
5
Suppose -2*k - 2*g + 16 = 0, -4*g + 0*g = -2*k - 2. Suppose 0 = -2*f + o + 881, -k*f - 3*o + 2195 = 2*o. What is the units digit of f?
0
Let l = 14481 + -7153. What is the hundreds digit of l?
3
What is the thousands digit of 2 - ((-6536)/2 + 6 + -2 + 2)?
3
Suppose -4 = -4*z + 5*a - 4*a, -5*a - 20 = 2*z. Suppose z*q + 303 = q. What is the hundreds digit of q?
3
Suppose -449772 = -117*o + 6*o. What is the units digit of o?
2
Let z(l) = 3389*l**2 + 3*l - 5. What is the thousands digit of z(1)?
3
Suppose 0 = -2*c - 3*c - 4*i + 12816, 4*c = 2*i + 10232. What is the units digit of c?
0
Let g = -3239 - -6726. What is the hundreds digit of g?
4
Suppose -17*c = -27*c. What is the tens digit of (c - (6 + -9)) + 197?
0
Let g(c) = 8*c**2 - 13*c - 158. What is the tens digit of g(18)?
0
Suppose -h = -23 - 11. Suppose 10*q - 9*q + h = 0. What is the tens digit of (-1944)/(-51) + 4/q?
3
Let f be (-3 - (-1 - -3))/(-1). Suppose 11 + f = 4*k. Suppose -3*l = 3, -6*b + k*b + 4*l + 118 = 0. What is the units digit of b?
7
Let l(z) = -6*z. Let g be l(2). Let x(o) = 2*o**2 - 6*o - 53. What is the tens digit of x(g)?
0
Let l = -73 - -82. What is the units digit of l*(1 - 4/(-36))?
0
Let k(r) = -10*r + 5. Let v be k(-9). Suppose 228 = -5*a + l, -5*a - 3*l = v + 121. What is the units digit of (-2)/10 + (-3159)/a?
0
Suppose 6 = -3*v + 2*m - 22, 3*v + 4*m = 2. Let i be (-3 + 4)/(-1) + 5. What is the units digit of i/v + 623/21?
9
Let t be -14 - -10 - -2*3. Suppose -t*v - d + 778 = 3*d, 4*d = 4*v - 1616. What is the hundreds digit of v?
3
Let d be (-1 - 4517/15) + (-2)/(-15). Let z = 729 + d. What is the units digit of z?
7
Suppose 211 + 74 = 3*d. Let s = d + -88. What is the units digit of s?
7
Suppose -12 = 10*v - 14*v. Suppose -2352 = -5*u - d - 293, -2*u = v*d - 821. What is the hundreds digit of u?
4
Let i(a) = a**2 - 1. Let l be ((-3)/(-2))/(39/130). Let v be i(l). Let t = -13 + v. What is the units digit of t?
1
Let b = -7106 + 10382. What is the tens digit of b?
7
Let s(r) = r**2 - 9*r + 19. Let h be s(5). What is the units digit of h/(905/2325 - (-2)/(-5))?
3
Let b(c) = 23*c**2 - 3*c - 12. Let y be b(-3). Let k = y - 21. What is the tens digit of k?
8
Let g(a) = 48*a**2 + 85*a + 66. What is the tens digit of g(13)?
8
Suppose -3*p + 3418 = -4*u, 3*u - 4366 = -4*p + 233. What is the units digit of p?
6
Suppose 2*n + 6 + 2 = 0. Let b be 9*(-2)/(-3)*n. Let d = 15 - b. What is the units digit of d?
9
Let l = -102 - -118. Suppose -l*n + 3532 = 876. What is the hundreds digit of n?
1
Let o = -153 + 157. Let w(k) = 2*k**3 + 2*k**2 - 13*k + 9. What is the units digit of w(o)?
7
Let c = 1732 - -3484. What is the thousands digit of c?
5
Suppose 0 = 3*v + 4*z - 6889, 12*v - 2323 = 11*v + 4*z. What is the hundreds digit of v?
3
Suppose 28*x - 23*x + 3*z - 32750 = 0, 4*x + z = 26200. What is the thousands digit of x?
6
Let d(m) = 881*m - 605. What is the units digit of d(10)?
5
Let x(s) = 8*s**3 + 15*s**2 + 36*s - 17. What is the tens digit of x(9)?
5
Suppose i + 5*p = -206, 2*i + 192 = -3*p - 199. Let d = 582 + i. What is the tens digit of d?
9
Let b(u) = 6*u - 7. Let d(l) = -l**2 + 6*l - 6. Let f(z) = 3*b(z) - 4*d(z). What is the units digit of f(10)?
3
Let a be (-4 + 8)/(-2)*-2. Suppose -185 = -a*n + 1519. What is the units digit of n?
6
Let u(c) = 2*c**3 + 17*c**2 - 9*c + 5. Let k be u(-9). Suppose -40 = 5*g - 4*g. Let f = k - g. What is the units digit of f?
5
Suppose 6*k + 114984 = 15*k + 3*k. What is the tens digit of k?
8
Suppose 4532 - 587 = s - 4*d, -d = -2*s + 7925. What is the tens digit of s?
6
Suppose 20*g = -18*g - 48*g + 462078. What is the units digit of g?
3
Suppose 13*f + 7245 = 4*f. Let c = f + 1227. What is the tens digit of c?
2
Let r(k) = -k**3 - 24*k**2 - 85*k - 80. Let x be r(-20). Let g(l) = -l**3 + 13 + 21*l**2 + 4*l - 8*l**2 + 7*l**2. What is the units digit of g(x)?
3
Let q = -146 - 120. Let l be q/(-70) - 2/(-10). Suppose 0*x - 3*x + l*y = -116, -3*y - 79 = -2*x. What is the tens digit of x?
3
Let d = -49 + 59. Suppose 5*c - 3*h + d = 0, c + 6 = -2*c + 5*h. Let m = c - -48. What is the units digit of m?
6
Let k = -474 - -1785. What is the units digit of k?
1
Let k = 16 - -1477. Suppose 3*q + 2*z = 1120, 4*q - 3*z = -6*z + k. What is the units digit of q?
4
Let n be 1*428/10 - 2/(-10). Let o = -9 + n. Let t = 132 - o. What is the units digit of t?
8
Suppose -5*c = -4*k + 10074 + 781, 0 = -k + 3*c + 2712. What is the units digit of k?
5
Let h(s) = s**3 + s - 1. Let t be h(6). Suppose 0 = l - t + 82. What is the hundreds digit of l?
1
What is the units digit of (-1 + -11)*(-10110)/40?
3
Let k = 4 + -1. Suppose k*l - 6 = 2*l + 3*m, l + m = -2. Suppose -2*o + 89 + 65 = l. What is the units digit of o?
7
Suppose -7*g - 1500 = 5*g. Suppose -653 = -3*c + 10. Let k = g + c. What is the units digit of k?
6
Suppose 2*u + 4 = 0, -65*r + 61*r + 13*u + 21250 = 0. What is the tens digit of r?
0
Suppose -3*c - 5*z = -0*z + 159, 0 = -4*c - z - 195. Suppose 2*y = -5*x - 8, 4*x - 7 = 6*x - 3*y. What is the units digit of (c - -1)/(x/4)?
4
Let g be 45/20 + -2 - 35/(-4). What is the hundreds digit of 281 - 3/(4/(24/g))?
2
Let i be (1 - 11/4)*8. Suppose 26*v - 22*v = 120. Let b = v - i. What is the tens digit of b?
4
What is the units digit of (-164)/(-24)*3*274?
7
Let x be 5*-6*(-20)/(-5). Let t = -104 - x. What is the units digit of t?
6
What is the thousands digit of 9649 - 0/(-9 + 17)?
9
Let v(x) = x**3 + 13*x**2 - 11*x + 15. Let g be v(-12). Suppose 4*q = -t + g, -2*t + 897 = 2*q + 339. What is the units digit of t?
5
Let n = 1417 + -822. Let q = n - 158. What is the units digit of q?
7
Let g = -3027 - -4730. What is the tens digit of g?
0
Suppose -4*t + 2 = 5*c, 0*t + 2*t = 3*c - 10. What is the units digit of ((-7)/((-21)/c))/((-6)/(-216))?
4
Suppose 21*t - 3*t - 2*t - 108304 = 0. What is the units digit of t?
9
Let x(t) = t + t**2 - 2*t - 9 + 3 - 5. Let w be x(-4). Suppose -w*s + 520 = -s. What is the units digit of s?
5
Let h(q) = 43*q + 48. Suppose 22*g - 18*g - 20 = 0. What is the hundreds digit of h(g)?
2
Let t = 8 - -199. Suppose -307 - t = -2*p. What is the hundreds digit of p?
2
Suppose 7*q - 49 = -14. Suppose -2*y + 4 + 2 = 0. Suppose 0 = 5*l + q*h - h - 247, 0 = -h + y. What is the units digit of l?
7
Let x be 1 + 6/9*-42. Let g = -21 - x. Suppose 2*z - 2*u = -g*u + 124, 4*z + 4*u - 264 = 0. What is the tens digit of z?
7
Suppose -14*u + 15*u - 4924 = 4*c, 3*u = 5*c + 14758. What is the tens digit of u?
1
Let m = 605 + 695. What is the hundreds digit of m?
3
Let u(k) = 12*k**2 - 14*k - 69. What is the tens digit of u(28)?
4
Suppose 2*n + 554 = 600. Suppose 0 = -0*c + 2*c - 4. Suppose r + f - 13 = c, 0 = -r + f + n. What is the units digit of r?
9
What is the thousands digit of (-995301)/(-162) + 1/6?
6
Let y be 8280/(-216)*(-9)/5. Suppose 2*x - 384 = -x. Let n = x - y. What is the units digit of n?
9
Let x = -4444 + 12208. What is the hundreds digit of x?
7
Let l = -2356 - -3470. Suppose 0 = 2*h + 3*h - 3*x - l, -5*h = -x - 1118. What is the units digit of h?
4
Let m be 5/6 + -2 - (-1)/6. What is the units digit of 492/16*m*12/(-9)?
1
Let d(q) = 35*q**2 - 25*q**2 + 3 + 8 - 11*q. What is the tens digit of d(5)?
0
What is the tens digit of (-5985870)/(-1584) - (-1)/24?
7
Let s(k) = 3*k + 6. Let f(q) = 4*q + 6. Let b(t) = -5*f(t) + 6*s(t). Let i be b(3). Suppose i = x - 2*x + 17. What is the tens digit of x?
1
Let l(i) = -47*i**2 + 2*i - 2. Let m be l(1). Let y = 46 + m. What is the tens digit of (-1)/((2/44)/y)?
2
What is the units digit of (-29)/((-406)/12572)*(-3 + 7)?
2
Suppose 3*y - 11*y = -23*y + 98235. What is the units digit of y?
9
Let i(r) be the first derivative of 4*r**3/3 + r**2 + 4*r + 359. Suppose -5*d + 13 = -2. What is the units digit of i(d)?
6
Let z(f) = -2*f**2 + 10*f - 79. Let w(r) = -3*r**2 + 9*r - 79. Let g(t) = -5*w(t) + 6*z(t). What is the hundreds digit of g(-16)?
4
Let o = -7106 + 12998. What is the tens digit of o?
9
Suppose -2 = 5*g - 3*f, 0 = g + 7*f - 2*f - 22. Suppose -g*r = -3*a - 3*r + 154, 2 = -r. What is the tens digit of a*(10/(-4))/(-5)?
2
Let u be ((-34)/(-10) + -4)*-5. Suppose 2*f + 3*a + 2*a = 14, u*f = 2*a + 2. Suppose 0*y - y = -f*g + 187, -2*g + 172 = -4*y. What is the units digit of g?
6
Suppose -2*h - 186 = -3*h. Suppose 3*n - 6*n - h = 0. Let p = 107 + n. What is the units digit of p?
5
What is the tens digit of 1 - (-678208)/152 - (-6)/57?
6
Let f(o) = o**2 - 7*o + 18. Let a be f(14). Suppose -4*i + 280 = 5*v, -4*v = -2*i - 134 - a. What is the units digit of v?
0
Let x = -2949 - -8654. What is the thousands digit of x?
5
Let t = 199 + -106. Let y be 4141/369 + 2/(-9). Let n = t - y. What is the tens digit of n?
8
Suppose -42*a + 18*a = -144888. What is the tens digit of a?
3
Let s be 6/(-39) + (-7112)/(-91). Suppose -p - p + 16 = t, -s = -4*t - p. What is the tens digit of ((t/4)/(-5))/(2/(-60))?
3
Let m(n) = -n**3 + 7*n**2 + 44*n - 45. What is the units digit of m(6)?
5
Suppose -5*u = 3*k - 48 - 2, -5*u + 50 = 5*k. Suppose -2*v = 3*v, 2*v + u = -2*j. What is the tens digit of 2 - j/(-2)*-14?
3
Let i(x) = -2*x - 14. Let j be i(-10). Suppose j*d - 5 = d. What is the units digit of (-5 + d)*((-3)/(-2))/(-1)?
6
Let o be (-12)/(-14) + 10370/119. Let f = 38 + o. What is the hundreds digit of f?
1
Let o = 26 - 23. Suppose -o*z + 5 = 2, 4*m - 4*z + 456 = 0. Let q = m - -168. What is the units digit of q?
5
Suppose 12*s + n = 17*s - 10545, -s = -3*n - 2109. What is the thousands digit of s?
2
Suppose 23*o - 41*o + 630 = 0. What is the units digit of o?
5
Suppose 392 - 40 = 16*j. What is the tens digit of 2*(-6999)/(-33) - 4/j?
2
Let t(c) be the first derivative of -3*c**5/20 + c**4/12 + c**3 + 2*c**2 + 5*c - 17. Let s(o) be the first derivative of t(o). What is the tens digit of s(-2)?
2
What is the hundreds digit of (3738/30 - 4)*15?
8
Suppose 14*a - 31824 = 5*a - 9*a. What is the hundreds digit of a?
7
Suppose 0*r - r - 9 = -4*g, -9 = -5*g - r. Let y(n) = -4*n**3 - n**g + 6*n + n - 5*n + 15*n**3. What is the units digit of y(2)?
8
Suppose -o = 1, 0 = -9*d + 10*d - 2*o - 9309. What is the thousands digit of d?
9
Suppose u + 2 = l - 0, -3*l + 6 = -2*u. Suppose j = l*f - 98, -106 - 105 = 2*j - f. Let q = 172 + j. What is the tens digit of q?
6
Let r(c) = -6*c - 3*c + 2 + 10*c - 19. Let t be r(5). What is the units digit of (12/(-21))/((t/14)/3)?
2
Let r = 103 + -99. Suppose 3*w - 507 = -2*q, q = -3*q - r*w + 1004. What is the hundreds digit of q?
2
Let c(m) be the third derivative of 0*m + 0*m**3 - 5/12*m**4 + 0 + 14*m**2. What is the tens digit of c(-1)?
1
Let d(t) = t**3 + 3*t**2. Let y be d(-3). Suppose -2*w = m - 835, y = -5*w - 0*w + m + 2077. What is the hundreds digit of w?
4
Let w(n) = -14*n**3 - n + 25. Let m be w(-6). Suppose 0 = -12*i + m - 679. What is the hundreds digit of i?
1
Suppose -65 = 4*r - 49. What is the tens digit of -5 - r/((-24)/(-1602))?
6
Let z be 3*-1 + (-132)/(-5 + 2). Suppose 40*j + 12 = z*j. What is the units digit of (-1136)/(-12) - (-4)/j?
5
What is the tens digit of 8*(9 + -10) + 6188?
8
Let o(q) = 4*q**2 + 24*q - 23. Let j be o(-12). Suppose n - 6*n + j = 0. What is the units digit of n?
3
Let j be (30/20)/(6/16). Suppose -j*p + v + 25 = 0, 0 = 3*p - 3*v + 4 - 16. Let y(h) = -h**3 + 8*h**2 - 3*h + 13. What is the tens digit of y(p)?
4
Let r(n) = 2*n**3 + 3*n**2 - 3*n + 3. Let t be r(2). Suppose 0 = 5*c, -6*c + c = -3*p + 78. Let q = p - t. What is the units digit of q?
1
Let r = -15746 - -23454. What is the tens digit of r?
0
Let z = -6824 + 11446. What is the units digit of z?
2
Let a = -140 + 350. Let l be a/9 - (-1)/(-3). Let f = l - -50. What is the units digit of f?
3
Let q = 29 - 19. Let t(b) = 9 + q + 2*b + 6*b - 1. What is the tens digit of t(7)?
7
Let q be (820/(-12))/5*-12. Suppose -s + 0 = -q. What is the hundreds digit of s?
1
Let b(a) = 10*a + 43. Let r be b(-14). Suppose 0 = 4*y - 2*y + 284. Let p = r - y. What is the tens digit of p?
4
Let j = -6 - -164. Suppose 5*s = -o + j, 0 = 5*o - 2*o - 9. Let u = s + -20. What is the units digit of u?
1
Let p be (-14)/(-5) - (-17)/85. Suppose -600 = -3*i - 7*h + 6*h, p*i - 2*h - 600 = 0. What is the tens digit of i?
0
What is the units digit of 7 + 235/(-282) + 42695/6?
2
Let u be -944*2/(-3) - 4/(-6). Suppose -5*b = -5*t + u, 0*b - 499 = -4*t + 5*b. Let c = t - 66. What is the units digit of c?
5
Let z = 19203 + -10711. What is the hundreds digit of z?
4
Let o(z) = 182*z**3 - z**2 + 2*z - 1. Let n be o(1). Suppose 0 = -13*h + 1092 + n. What is the units digit of h?
8
Suppose 0 = 81*g - 85*g + 1772. Suppose -43 = -9*f + g. What is the units digit of f?
4
Suppose 37*d = 108*d - 71343 - 34234. What is the thousands digit of d?
1
Suppose -8*x + 40 = 2*x. Suppose x*r - 74 = 10. Suppose -3*y + 45 = r. What is the units digit of y?
8
Let x = -52 + 37. Let c be (35/x + 3)*27. What is the units digit of (4 - 60/c) + 548/6?
2
Let o = -6 + 10. Suppose 2*l = 4 + o. What is the tens digit of 867/21 - l/14?
4
Let g = 85 + -85. Suppose 1142 = 3*k + 2*d, g = -3*d - 4 - 2. What is the tens digit of k?
8
Suppose -31*k + 9*k = -5*k - 67830. What is the tens digit of k?
9
Let p(o) = 196*o**2 + 2*o - 3. Let w be p(2). Suppose -20*i + w = -15*i. What is the tens digit of i?
5
What is the hundreds digit of (689/(((-36)/(-78))/6))/1?
9
Let y(l) = 23*l**2 - 4*l - 514. What is the tens digit of y(-20)?
6
Let t(a) = a**2 - 3*a - 2. Suppose -6*m = -17 - 7. Let n be t(m). What is the units digit of 108/2*((-21)/(-6) - n)?
1
Suppose 1 = -5*y - h, -2*h + 0*h = -3*y + 2. What is the units digit of (y - -31) + -13 + 10?
8
Let c(j) = -2*j**2 + 4*j - 5. Let t be c(2). What is the hundreds digit of ((-242)/(-6) - t)*99/12?
3
Let u(m) be the first derivative of m**6/120 + 13*m**5/120 - m**4/12 + 6*m**3 - 4. Let i(b) be the third derivative of u(b). What is the units digit of i(-7)?
4
Let s = 13 - 10. Suppose -s*k + 20 + 10 = 0. Suppose -k*b + 12*b - 188 = 0. What is the tens digit of b?
9
Let o(w) = w**3 - 3*w**2 - 6*w - 7. Let h be o(5). Suppose -15*n - 6 = -h*n. Let l(s) = -29*s + 13. What is the hundreds digit of l(n)?
1
Let c = 2144 + -1109. Suppose -c = -5*d + 570. What is the tens digit of d?
2
Suppose 25000 = 4*h - 34*w + 30*w, 5*h - w = 31254. What is the tens digit of h?
5
Let q(o) be the second derivative of 6*o**3 - 11*o**2 + 56*o. What is the tens digit of q(4)?
2
Let r be 1/3 + (-52)/(-6). Let l(q) be the first derivative of 4*q**2 - 20*q + 114. What is the units digit of l(r)?
2
Let a(v) be the first derivative of -4*v**2 - 17*v - 3. Let g be a(-15). Suppose 27 = -2*x + g. What is the tens digit of x?
3
Suppose 31 = n - 5*g, 3*n + 3*g - 33 = 6*g. Suppose -2*z + 3*r + 12 = n*r, 0 = -5*z - 2*r + 19. What is the units digit of z?
3
Suppose 3*b - 7*l = -4*l + 4473, 5*b + l = 7479. Suppose -3*n + 1123 = 2*p, -14*n + 10*n - 5*p = -b. What is the hundreds digit of n?
3
Suppose -78 = -2*x - 4*q, -5*x + 4*q - 93 + 344 = 0. Suppose 0 = 2*i - 5*j - 129, 5*i - 202 - 163 = 4*j. Let c = i - x. What is the tens digit of c?
3
Let q(g) be the third derivative of 23*g**4/4 - 7*g**3/3 - 12*g**2. Let j be q(6). What is the tens digit of (j/(-11))/(1*-1)?
7
Let l(i) = -2*i**3 - 85*i**2 - 62*i - 45. What is the tens digit of l(-43)?
7
Let v(k) = k**3 - 2*k**2 - k + 520. What is the tens digit of v(0)?
2
What is the tens digit of 4/(-18) + (-20)/(-36)*229722/15?
0
Let c(q) = -q + 8. Let d be c(4). Suppose -3*r = r - d. Let j = r - -61. What is the tens digit of j?
6
Suppose -19388 = -2*d + y, -5*y + 9825 = d + 109. What is the hundreds digit of d?
6
Suppose 27*s - 21*s + 696 = 0. Let o = 236 + s. What is the units digit of o?
0
Let n(i) = 5839*i**3 + 7*i - 8. What is the tens digit of n(1)?
3
Suppose -95*j = i - 93*j - 9967, 0 = -4*j - 16. What is the thousands digit of i?
9
What is the hundreds digit of (504/10)/(84/12810)?
6
Suppose 19424 + 5816 = 5*h + 4*w, 2*h - 10084 = -4*w. What is the hundreds digit of h?
0
Suppose 9*p = 15 + 5295. Suppose p = 15*m - 10*m. What is the units digit of m?
8
Let k = -5 + 1. Let u(h) be the third derivative of -23*h**4/24 + h**3 + 15*h**2. What is the tens digit of u(k)?
9
Let o be ((-11)/((-33)/30))/2. Suppose -9*q + o*q = -1680. What is the tens digit of q?
2
Suppose p - 1639 = 5*r - 6*r, -1639 = -p + 5*r. What is the units digit of p?
9
Suppose -46293 + 67406 = 27*m - 161650. What is the hundreds digit of m?
7
Let r be (-81)/(-12) + 2/(-8)*3. Suppose 0 = 5*k, 2*k = -b + r*k + 237. What is the units digit of b?
7
Suppose -20 = -8*z + 7*z. Suppose -5*d + 0*d + z = 0. What is the units digit of 6/4 + 18/d?
6
Suppose -33*z - 79379 = -343742. What is the hundreds digit of z?
0
Suppose 32*b - 28*b = -528. Let n = -98 - b. What is the tens digit of n?
3
Let b(t) = 5*t**2 + 2*t - 3. Let d be b(6). Suppose -4*l - 3*l + d = 0. Suppose 0 = -25*f + l*f - 40. What is the tens digit of f?
2
Let l = 0 - -5. Suppose -2*i + l = -7*i - 5*m, 4*m = -8. What is the tens digit of (0 + i)/((-2)/(-66))?
3
Let b = -7513 + 12651. What is the hundreds digit of b?
1
Let q = -33 + 34. Let d be -1*q + 4 + -5. What is the tens digit of (50 + -9)*d/(-1)?
8
Let y = 54 + 267. Let g be y/12 - (-1)/4 - 1. What is the tens digit of -26*(g/(-12) - (-6)/(-18))?
6
Let p = 11 + 1. Let r be 444/72 + (-2)/p. What is the tens digit of -24*(-5)/r*3?
6
Suppose 0 = -26*b + 23*b - 12. Let m(s) = -8*s**3 - 5*s**2 + 2*s + 32. What is the units digit of m(b)?
6
Suppose 4*k - 29796 = -2*m + 6*m, 2*k - 3*m = 14893. What is the units digit of k?
4
Suppose 0*d + 5*d + 10 = -5*b, 5*b = -20. Suppose -5*p - 135 = -h - 53, 0 = -h - d*p + 61. What is the units digit of h?
7
Let v = 15905 - 7346. What is the units digit of v?
9
Let r(u) = -u**3 - 7*u**2 - 9*u - 51. Let h be r(-7). What is the tens digit of 24/144 - (-4138)/h?
4
Let u(c) = c**2 - 12*c - 61. Let f be u(15). What is the tens digit of (-315)/60*f/6?
1
Let z(o) be the second derivative of 13*o**4/12 + o**3/2 + 2*o**2 + 6*o. Let y be z(4). Suppose 4*t - y - 180 = 0. What is the units digit of t?
1
Suppose 0 = -3*c + 4 + 8. Suppose 5*k - 2*a = 30 - 6, -12 = -5*k - c*a. Suppose k*s - 473 = -141. What is the tens digit of s?
8
Suppose 0 = 3*b + 2*b + 2*w - 57, -3*b = -5*w - 28. Suppose 7*y = b*y - 16. Suppose 7 = 5*h - y*h. What is the units digit of h?
7
Suppose 100*j + 109*j + 70610 = 219*j. What is the thousands digit of j?
7
Let p(b) = 4*b + 7. Let c be p(5). Suppose -32*d + c*d = -2215. What is the units digit of d?
3
Let n(y) = -19*y**2 - 2*y + 1. Let b be n(3). Let x be (b/20)/((-1)/(-5)). Let f = 84 + x. What is the units digit of f?
0
Suppose 15 = 4*y + 3. Let z(x) = 2*x - 5. Let r be z(y). Suppose -r = -u + 3, -3*q - u = -220. What is the units digit of q?
2
Suppose 3*u + 8930 = h, -26*h + 27*h = u + 8926. What is the units digit of h?
4
Let o = 103 - 99. Suppose 3*k = -o*f + 184 + 573, 0 = -k + 5*f + 284. What is the units digit of k?
9
Let f(j) = 35*j - 17. Let q be f(4). Suppose -2*a = -365 - q. What is the units digit of a?
4
Suppose 8*j + 7 = 31. Let f(d) = 41*d**2 + 3*d - 2. What is the hundreds digit of f(j)?
3
Let t = 6 - 6. Suppose t = -2*f + 3*f. Suppose -46 + f = -2*y. What is the units digit of y?
3
Let h = 130 - 124. Suppose -i = 4, -3*i + 484 = 2*s - h*i. What is the hundreds digit of s?
2
Suppose 7*m = -0 + 70. Let i(p) = p**3 - 10*p**2 + 7*p + 23. What is the tens digit of i(m)?
9
Suppose -5*x + 25 = -5*w, 5*w = -0*x - x + 5. Suppose 4*j + a = -1948, 4*a - 1110 = x*j + 1346. What is the tens digit of ((j/(-6))/(-2))/((-2)/3)?
6
Let p = 99 + 219. Suppose p = c + x, -3*c - x + 5*x + 933 = 0. What is the tens digit of c?
1
Let i(w) = -w**3 - 8*w**2 - 2*w - 9. Let x be i(-7). Let f = 49 + x. Suppose -3*g + 23 - 68 = -2*v, -v = f*g - 55. What is the units digit of v?
0
Let t = 2640 + -5340. What is the tens digit of (-2)/7 - t/189?
1
Suppose 0 = -3*m + 4*f - 2*f, 0 = m - 2*f. Let x = 689 - 717. Let j = m - x. What is the tens digit of j?
2
Let g be 24/10 - 2 - 3196/(-10). Let u = g + -119. What is the hundreds digit of u?
2
Let q be 1/((-26)/4 - -6). What is the hundreds digit of (-7)/((-42)/(-606))*q?
2
Suppose 2*a + 5*p = 6506, -5*a + 3931 = -p - 12307. What is the hundreds digit of a?
2
Suppose 52 = 5*o + h, -o - 4*h + 0*h - 1 = 0. Let t(k) = 2*k + o*k**2 - 16*k - 9 + k**3 - 7. What is the units digit of t(-12)?
8
Let y(u) = 509*u + 505. What is the thousands digit of y(16)?
8
Suppose 4*a = 4*i + 32, a - 20 = -a + 4*i. What is the units digit of (-1 + -3)*-5*3/a?
0
What is the thousands digit of (1 - -2)/(1/2307)?
6
Let n = 10 - -225. Let i = n + -117. Let r = i - 32. What is the tens digit of r?
8
Let f(s) = 36*s**3 - 2*s**2 - 18*s**3 - 15*s**3 + 3*s. Let l(u) = u**2 + 2*u - 1. Let g be l(1). What is the units digit of f(g)?
2
Let s = -14 - -24. Suppose 0 = 3*a + 2*a - s, -2*a - 1846 = -5*r. What is the tens digit of r?
7
Suppose -2*g + o = 1324, -3*o = -2*g + 2*o - 1332. Let f = 1138 + g. What is the tens digit of f/5 + (-30)/(-50)?
9
Suppose -50*b + 31*b = -102429. What is the tens digit of b?
9
Suppose 53582 - 195386 = -27*m. What is the units digit of m?
2
Let b(f) = 2*f - 28. Let c(s) = -s + 29. Let t(w) = 2*b(w) + 3*c(w). Suppose -2*a - 9 = 9. What is the tens digit of t(a)?
2
Let g(o) = o**2 - 109*o - 132. What is the units digit of g(-48)?
4
Let b be -5*((-41)/5 + 2). Suppose -b*s = -28*s - 222. What is the tens digit of s?
7
Let a = -13275 - -159645. What is the tens digit of 1/(-6) + (a/(-36))/(-17)?
3
Suppose 360*x - 2*p = 355*x + 8324, -2*x = -2*p - 3332. What is the units digit of x?
4
Let f = -5288 + 9388. What is the thousands digit of f?
4
Let i(l) = l**3 + 6*l**2 - 15*l - 3. Let z be i(-13). Let u = -647 - z. What is the tens digit of u?
4
Let p be ((-300)/(-4))/1*-3. Let r = -190 - p. What is the units digit of r?
5
What is the hundreds digit of -2*(-3)/(-14) - (-5771700)/2100?
7
Let q(b) = -149*b**3 - 2*b**2 - 53*b - 140. What is the thousands digit of q(-3)?
4
Let k(i) = -i - i - i + 0. Suppose -32 = -d - q - 37, 0 = -q + 1. What is the tens digit of k(d)?
1
Let r = 4856 - 390. What is the thousands digit of r?
4
Let o = 9 - 6. Let k = 6 + -3. Suppose -2*y - k*y - o*h + 436 = 0, -h - 342 = -4*y. What is the tens digit of y?
8
Let q(u) = 2*u**3 - 26*u**2 + 51*u - 193. What is the hundreds digit of q(22)?
6
Suppose -28 = -0*o + 4*o. Let r(b) = 16*b + 11. Let m(y) = 5*y + 5. Let x(n) = 5*m(n) - 2*r(n). What is the units digit of x(o)?
2
Let k = 7 - -39. Let b be -2 + 103 - (-65 + 65). Let y = b - k. What is the tens digit of y?
5
Let y(l) = 60*l - 21. Let z be y(-4). What is the tens digit of z/(-27)*3*9?
6
Let j(g) = -40*g - 44*g - 71 + 106*g. What is the units digit of j(11)?
1
Let m(q) = q + 9. Let a be m(7). Let i(r) = r**3 - 14*r**2 - 20*r - 11. What is the tens digit of i(a)?
8
Let v = 231 - 229. Suppose -2*q + 61 = 5*m, -6*q + 5*m = -v*q - 77. What is the tens digit of q?
2
Let g(d) = -18*d + 3 + 0*d - 2*d - 14*d. Suppose 5*k + 3*b + b + 6 = 0, k = 2*b - 4. What is the tens digit of g(k)?
7
Let h be (-5 - 0) + (-1)/(-2)*4. Let t(r) = -83*r + 11. Let l be t(h). Suppose -2*p - 307 = -5*n, -2*n = -6*n - 2*p + l. What is the tens digit of n?
6
Suppose -88 = -3*z - 3*j + 26, 5*z - 2*j = 183. What is the units digit of z?
7
Suppose 4*j + 3*h = 304, 2*h - 361 = -5*j + 3*h. Let l = 36 - j. Let i = 48 + l. What is the tens digit of i?
1
Let x(g) = -8*g - 59. Let s be x(-8). Suppose s*t = -o + 459, -t - 419 = -o + 4*t. What is the units digit of o?
9
What is the tens digit of 5/(-15) - (27334/(-3) - (2 - 2))?
1
Let b = -80 - -87. What is the hundreds digit of 122*1 - b/(49/21)?
1
Let g = -19 + 22. Suppose g*p + 2*q - 248 = 2*p, 2*p + q - 484 = 0. Suppose -6*x + p = -3*x. What is the units digit of x?
0
Let k(v) = 190*v**3 - 8*v**2 + 32*v - 61. What is the units digit of k(3)?
3
Suppose 0 = 5*r - 4*t - 41501, 0 = -2*r + 147*t - 144*t + 16599. What is the hundreds digit of r?
3
Let t = -3503 - -11397. What is the units digit of t?
4
Let z(l) = -l**3 + 7*l**2 + 4*l + 14. Let f be 54/(3 + -1) + (2 - 1). Let j = f - 21. What is the tens digit of z(j)?
4
Suppose 21364 = 4*i - 4*h, -12*i - 10679 = -14*i + 3*h. What is the hundreds digit of i?
3
Suppose 8*t = 7*t + 4*n - 132, -4*t = -4*n + 528. Let d = 191 + t. What is the tens digit of d?
5
Suppose -f + 3*f = 4346. Suppose f = 8*x - 811. What is the tens digit of x?
7
Suppose -23*d + 4 = -27*d. What is the hundreds digit of (-2)/(-2)*(-7 - (-125 - d))?
1
Let l = -232 + 233. What is the hundreds digit of l/(-2 + 4)*766?
3
Let d(x) be the first derivative of -x**4/4 + 13*x**3/3 - x**2 - 27*x - 70. What is the hundreds digit of d(10)?
2
Let b(o) = 8*o**2 + 108*o + 7. What is the units digit of b(26)?
3
Suppose -134742 = -28*o + 143130. What is the hundreds digit of o?
9
Suppose -4*b - 12 = -5*u, -4*u = 2*b + b - 22. Let n be b/7 - 130/(-35). What is the units digit of 60 - 1 - (n + -1)?
6
Let j = 2958 + 4302. What is the thousands digit of j?
7
Suppose -8*p + 840 = -4*p. Suppose d + 6 = 2*d. Suppose d*g - p = -0*g. What is the tens digit of g?
3
Suppose p = -3*g + 3, 6*g = 2*g + 4. Let c be -4 - ((p - 4) + 0). What is the tens digit of 0 + 4 + c + 21?
2
Suppose -4*b + 20 + 0 = -4*c, -2*c + 20 = 3*b. Suppose 0 = -b*j - 3 + 21. What is the tens digit of 1 - j - (-16 - -1)?
1
Suppose -z = -4*z + 4338. Suppose 2*u = -4*r + z, -12 = -12*u + 8*u. What is the hundreds digit of r?
3
Let s be (9/(18/(-4)))/(2/(-5)). Suppose -6*q = -3*k - 4*q + 261, s*k - 435 = -q. What is the tens digit of k?
8
Suppose -4*a + 3*a - p = -691, -2*a = 4*p - 1384. Suppose -a = -5*z - 5*x, -2*z - 4*x = -0*z - 282. What is the tens digit of z?
3
Let a(v) = 34*v**2 - 28*v - 24. What is the hundreds digit of a(-9)?
9
Let t(d) = -d**3 - 19*d**2 + 21*d + 18. Let n be t(-20). What is the tens digit of ((-1)/n)/((-13)/(-8580))?
3
Let h = -221 + 217. What is the units digit of ((-21)/1 - h)/((-2)/6)?
1
Suppose 5383 = a - k, -3*k + k - 32306 = -6*a. What is the units digit of a?
5
Let z be (759/(-22))/(6/(-16)). Let y = -47 + z. Suppose y = 14*q - 13*q. What is the tens digit of q?
4
Suppose 3*z = z - 3*a + 63, -105 = -4*z + a. Suppose -24*d = -z*d + 1140. What is the tens digit of d?
8
Suppose -13*y + 2*y - 1320 = 0. What is the units digit of (y/25)/((-3)/10)?
6
Let g = -6930 + 15519. What is the hundreds digit of g?
5
Suppose -108*o + 10*o = -797617 - 179443. What is the tens digit of o?
7
Let b = 37 - 12. Suppose -24*o + b*o = 0. Suppose o*w + 59 = w. What is the tens digit of w?
5
Let p be ((-4)/(-12))/((-3)/(-234)). Suppose -2*b - 4*y - 2 = 2, -5*y = -b + p. What is the units digit of (-8)/b - (-290)/15?
8
Suppose 350*g - 240 = 342*g + 320. What is the tens digit of g?
7
Let m(z) = z**3 + 83*z**2 - 417. What is the units digit of m(-82)?
7
Let d(v) = 7*v + 1 + 0*v + 0*v + 5. Let g be d(6). Suppose 2*o = 4*q + 96, 5*q = o + q - g. What is the tens digit of o?
4
Let g(t) = 6*t**3 - t. Let b = 82 - 78. What is the units digit of g(b)?
0
Suppose -5*x = -2*x - 12. Suppose 0*v + 8 = x*v. Suppose 2*m = -p + 26, -5*m = -v*m + 2*p - 41. What is the tens digit of m?
1
Let h(j) = 67*j**2 + 27*j - 93. What is the tens digit of h(11)?
1
Let p(b) = b**2 + b - 20. Let j be p(-7). Suppose 5*w + 12 = j. What is the units digit of (-1222)/(-14) + w/(-7)?
7
What is the hundreds digit of (-2 - -25*1)/(10 + (-29832)/2984)?
5
Let l(q) = -2*q - 3. Let h be l(-3). Suppose 3*j - 217 = -7*c + h*c, 2*j - 141 = c. Let v = j - 42. What is the tens digit of v?
2
Suppose -3*p - 567 = -5*b - 4475, -6530 = -5*p + 5*b. What is the thousands digit of p?
1
Let u = -2873 + 4013. What is the thousands digit of u?
1
Suppose c - 202 = u, 3*c + 208 = -2*u + 834. Suppose 3*n = 0, 4*n = -3*g + c + 112. Let w = -64 + g. What is the tens digit of w?
4
What is the hundreds digit of (-8*(-9)/(-72))/(1/(-9079))?
0
Let h = 13 + -25. Let t(j) = -j**3 - 11*j**2 + 37. What is the hundreds digit of t(h)?
1
Let f(q) be the third derivative of 19*q**5/60 - 5*q**4/12 - q**3/3 + 32*q**2. What is the hundreds digit of f(-4)?
3
Let v = -262 + 414. Let n = 207 - v. What is the tens digit of n?
5
Let t(k) = -4*k + 11. Let x(c) be the third derivative of -c**4/12 + 5*c**3 - 5*c**2. Let a be x(20). What is the tens digit of t(a)?
5
What is the tens digit of (-8)/(-20) - (-9270)/25*7?
9
Suppose -5420 = -d - 2*q, -d - q + 5420 = 2*q. What is the thousands digit of d?
5
Let k(h) = 4*h**3 + 3*h**2 - 3*h - 4. Let q(s) = 4*s**3 + 3*s**2 - 2*s - 3. Let n = 48 + -50. Let u(d) = n*k(d) + 3*q(d). What is the units digit of u(2)?
3
Suppose -3*v = 2*v - 5165. Let q = v - 725. What is the units digit of q?
8
Let s be (-1)/((-9)/(-6)) - 29/87. Suppose 0*w = 3*w + 3. What is the units digit of (1 - (s + w)) + 52?
5
Let p be 3/(-6)*(-4 - -4). Suppose 0 = 3*j - 2*a - 15, -j = -p*j - 2*a - 5. Suppose 3*y + j*v - 300 = v, -3*v = -y + 100. What is the hundreds digit of y?
1
Suppose 19*v + 20189 = 22*v - 2*u, -4*u - 20191 = -3*v. What is the tens digit of v?
2
Suppose j = -2*z + 8205, -25*j - z = -21*j - 32841. What is the thousands digit of j?
8
Suppose 2*l + 48 = 52. Suppose 69 = p + v, -p - 2*v - l*v + 66 = 0. What is the tens digit of p?
7
Let s(u) be the third derivative of -101*u**6/60 + u**4/12 - 57*u**2. What is the units digit of s(-1)?
0
Let z(t) = 2*t**2 - 3*t - 13. Let l be z(0). Let k(w) = w**3 + 14*w**2 - 5*w + 23. What is the tens digit of k(l)?
5
Let m = 6789 + 1851. What is the tens digit of m?
4
Suppose -61265 - 137104 = -93*j. What is the tens digit of j?
3
Let n(l) = 18*l**2 + 88*l + 37. What is the tens digit of n(-21)?
2
Suppose -t = -2*h - 1050, -729*t + 3*h - 3150 = -732*t. What is the tens digit of t?
5
Let p be (42/56)/((-3)/(-8)). Suppose -94 = 5*y - p*m, 0*y - 5*y + 5*m = 85. Let c = 41 + y. What is the units digit of c?
1
Suppose -10*d + 330 = -600. Let f = 84 + d. What is the hundreds digit of f?
1
Let h be (-4 + 0 - -2) + -2 - -625. Suppose -5*w - h = -8*w. What is the tens digit of w?
0
Suppose 5*k = -34 + 139. Let m = k - 97. What is the tens digit of ((-8)/(-10))/((-14)/(-35)) - m?
7
Suppose -14*n = -12*n - 2. Let x = n + 1. What is the units digit of x/4*(85 + 9/(-3))?
1
Let a(c) = -5*c**3 - 5*c**2 - c + 3. Let d(u) = u**2 + 20*u + 47. Let v be d(-17). What is the hundreds digit of a(v)?
2
Let d(t) = t - 1. Let u(r) = 48*r - 8. Let m(n) = -2*d(n) - u(n). Let l be m(4). Let f = -100 - l. What is the units digit of f?
0
Let q be 5*1*(1 - -377). Suppose 0 = 109*u - 114*u + q. What is the tens digit of u?
7
Let z = -120 + 122. Suppose -w + 5*k - 197 = -z*w, 3*w - 549 = -k. What is the tens digit of w?
8
Suppose 4*x - 3*t = 138, x - 37 = -58*t + 60*t. Let j = 106 - 72. Suppose 0 = -o - 4*p + p + x, 2*o - 2*p = j. What is the units digit of o?
1
Let k = 92 - 58. Suppose -4*o - k = -5*o - 5*x, 2*o - 62 = -4*x. What is the units digit of o*((-4)/2)/(-2)?
9
Let u = -85 + 97. Suppose -o + 189 - u = 0. What is the units digit of o?
7
Suppose 0*f + 567 = 3*f. Suppose 3*y + 2*a = 435, -35*y - 5*a - 456 = -38*y. Suppose 4*v - f = y. What is the tens digit of v?
8
Let p(z) = 17*z - 91. Let r(b) = -14*b - 44. Let x be r(-5). What is the tens digit of p(x)?
5
Let x(m) = m**2 + m - 31. Let d be x(0). Let o = -28 - d. Suppose -h + 115 = o*j, 3*j - 193 = -2*j - h. What is the tens digit of j?
3
Let f = 134 - 94. Let o be 3/(37/f + (-10 - -9)). Let r = 76 + o. What is the units digit of r?
6
Let o be 9/6*(-1488)/(-18). Suppose o = v - 4*k + 6*k, 3*k = -5*v + 599. What is the units digit of v?
8
Suppose -n + 32*o + 1569 = 29*o, 3*n = 5*o + 4707. What is the thousands digit of n?
1
Let q(j) = j**2 + 19*j + 85. Let c be q(-11). Let u(y) = -11*y - 2. What is the units digit of u(c)?
1
Let v = -116 - -118. What is the tens digit of (-14)/14*(-186)/v?
9
Let c = -2400 + 3925. What is the tens digit of c?
2
Suppose -16 = 12*d - 4*d. Let j = -52 + d. Let y = 81 + j. What is the units digit of y?
7
Suppose -35895 = -4789*r + 4784*r. What is the hundreds digit of r?
1
Suppose -f - 937*c + 575 = -941*c, 3*f - 3*c = 1752. What is the units digit of f?
7
Let t = -23 - -14. Let h = -33 + 13. What is the tens digit of 96/t*135/h?
7
Suppose 3*o = -2*k - 10, o + 2*o = -3*k - 15. Let q be -3 + 104 + 0/k. Let i = q + -72. What is the units digit of i?
9
Let u = 1 + 1. Let v be 3/4*(u - -2). Suppose v*p = 85 + 41. What is the tens digit of p?
4
Let t(z) = -2*z - 10. Let w be t(-2). Let m(k) = 5*k**2 - 15*k + 21. What is the units digit of m(w)?
1
Suppose 7*t + 15 = 50. What is the tens digit of (84/6 - t)*81/3?
4
Suppose -16*y = -14*y - 962. Suppose 6*j + 101 = -y. What is the tens digit of j/(-5 + 4) + 6/2?
0
Let f(g) = 3*g - 7*g + 13 - 2*g. Let c be f(8). Let t = c + 79. What is the tens digit of t?
4
Let k be 6/(-12) + 3/2. Suppose 0 = 5*q - k + 161. Let r = q + 69. What is the tens digit of r?
3
Let q = 283 + 55. Let j = 112 - q. Let d = -146 - j. What is the units digit of d?
0
Let t = 11968 + -6233. What is the units digit of t?
5
Let y = -138 - 491. Let h = -355 - y. What is the tens digit of h?
7
Suppose v + 6 = 25. Suppose 2610 = 25*w - v*w. What is the units digit of w?
5
Let l = 13541 - 6813. What is the units digit of l?
8
Let t(d) = 6181*d**3 - 2*d**2 + 1. What is the tens digit of t(1)?
8
Let w be ((-16)/10)/((-19)/95) - -1. Suppose -a - 1232 = -w*a. What is the tens digit of a?
5
Let c = 32 - 34. Let j be c/(-3)*(-1 + 55/10). Suppose -2*a + 210 = j*a. What is the tens digit of a?
4
Let m = -9 + 2. Suppose -33 - 79 = -8*p. What is the tens digit of 346/p - 2/m?
2
Let d = 32 + -23. Let n be (-294)/(-9) + 3/d. Suppose 0 = t - 0*t - n. What is the units digit of t?
3
Let w(n) = 6*n**2 - 5*n - 2. Let i(m) = 3*m - 30. Let d be i(8). Let g be w(d). Suppose -238 = -5*k - p, 2*p + g = -2*k + 7*k. What is the tens digit of k?
4
Let x(h) = 0*h + 16*h + 16*h - 30 - 15. What is the hundreds digit of x(15)?
4
Let w be ((1 - 1) + -1)/(4/(-840)). Let m be w/2*-1*(-2)/(-2). Let o = m - -176. What is the tens digit of o?
7
Let t(v) = 11*v**3 - 3*v**2 - 7*v - 14. Let q be t(5). Suppose q = -5*g + 8*g. What is the tens digit of g?
1
Let b be (3 - -4) + (2 - 5). Suppose b*t = t. Suppose -2*w - 66 = -2*y + 2*w, t = w - 2. What is the units digit of y?
7
Suppose -17*q + 61354 = -33574. What is the tens digit of q?
8
Let m(r) = -r**3 - 6*r**2 - 2*r + 4. Let p be m(-5). Let l be (-5 + 4)*(p - 0). Suppose -3*q + 0*q + 2*y = -53, 0 = q - 2*y - l. What is the tens digit of q?
2
Let d(v) = v**2 + 3*v - 11. Let b be ((-50)/(-45))/(-5) - 86/18. Let z be d(b). Let c = z - -35. What is the tens digit of c?
3
Let k be 3/(-6) + (-20)/(-8). What is the hundreds digit of ((-3140)/(-2))/5 - -1*k?
3
Suppose 4*b - 2*i = 224, -5*b + 5 = 3*i - 286. Suppose 2*w = b - 41. Suppose 5*n - 7 = w. What is the units digit of n?
3
Suppose -3*g + 0*g + 4*k + 23136 = 0, 4*k = -4*g + 30820. What is the units digit of g?
8
Let q(m) = 4*m**3 + m**2 - 6*m - 8. Suppose 3*x - 2*g = 14, 4*x + 3 - 21 = 2*g. What is the units digit of q(x)?
0
Suppose 22882 = j + 2*j + 5*s, -3*s = 3*j - 22872. What is the units digit of j?
9
Let c be 4/(-4 + (-3 - 23200/(-3315))). What is the units digit of (2/6)/((-2)/c)?
2
Suppose -3*h = -4*f - 21774, 27393 = 3*h + f + 5604. What is the thousands digit of h?
7
What is the tens digit of (2493/6)/(3*(2191/364 - 6))?
0
Let r(u) = 194*u - 2. Let p be r(4). Let x = 2137 + -2139. What is the tens digit of x*3/(-10) + p/10?
7
Let v = -2962 - -5822. What is the hundreds digit of v?
8
Let o be 2*2 - (35 - 819). Suppose -4*n = -636 - o. What is the hundreds digit of n?
3
Let o(i) = -8*i - 39. Let f be o(-5). What is the tens digit of 0/(-1) - 0 - (-99 + f)?
9
Suppose -65794 = -18*q + 166089 - 60703. What is the thousands digit of q?
9
Suppose -4*y - 2*u - 98 = -y, -4*y - 2*u - 130 = 0. Let m = 35 + y. Suppose -70 = -4*a - m*a. What is the units digit of a?
0
What is the hundreds digit of (8/1)/(-6*(-14)/59808)?
6
Let l be (-6 - -6)/3 - 0. Suppose 12*u + 1844 - 7268 = l. What is the units digit of u?
2
Let o = -25 + 34. Suppose 13*d - o*d = 20. Suppose d*b = 151 + 184. What is the units digit of b?
7
Suppose -15*m + 13*m = -8. Suppose -4*r = 5*n + 30, -3*n = -m*r + 3*r + 18. What is the units digit of 18 + n/(12/(-4))?
0
Let l(t) = t**3 - 13*t**2 - 13*t - 12. Let v be l(14). Let p be v - 1 - (6 + -12). Suppose -10*o - p = -107. What is the units digit of o?
0
Let i be 54/(2/51*1). Suppose -i = -5*b - 4*b. What is the tens digit of b?
5
Suppose 48*x - 141525 + 27056 = 115835. What is the units digit of x?
8
Let m(n) = n**3 - 33*n**2 + 164*n - 70. What is the hundreds digit of m(30)?
1
Suppose 48*b = 56*b - 48. Suppose b*m = 1760 - 614. What is the units digit of m?
1
Suppose 1744*c = 1758*c - 54418. What is the hundreds digit of c?
8
What is the units digit of 24*(7 + (-8082)/(-27))?
2
Let j be (19/(-2))/(18/36). Let w = -6 - j. What is the tens digit of w?
1
Let z(f) = 22*f - f**2 - 3*f**2 + 5*f**2 - 51 - 29*f. What is the units digit of z(-19)?
3
Let t(d) = -d - 5. Let i be t(3). Let x(l) = 2*l**2 - 6*l + 45. What is the tens digit of x(i)?
2
Suppose 31 = 2*u - 3*t - 229, 2*u - 240 = -2*t. Suppose 4*y + u = 920. What is the units digit of y?
9
Let m = 10395 + -4438. What is the thousands digit of m?
5
Let n(g) = -840*g**3 - 5 + 841*g**3 + 5*g**2 - 2 - 5*g + 5*g**2. Let d be -10 - (2 - 2/1). What is the tens digit of n(d)?
4
Suppose o = 2*x - 13521, -5*o + 3*o - 6756 = -x. What is the units digit of x?
2
Suppose 5*m - 947 - 1457 = -4*f, -f - 3*m = -594. What is the tens digit of f?
0
Let b = 1 + -3. Let k(o) = o**3 + 4*o**2 + 4*o - 2. Let s be k(b). What is the tens digit of (-1)/s*(-124)/(-2)?
3
Let n(d) = -2*d**3 + 5*d**2 - 2*d + 3. Let j be n(2). Suppose 0*o = 2*g - j*o - 13, -2*g = 4*o + 8. Suppose -g + 14 = 3*c. What is the units digit of c?
4
Let x = 430 - -482. Suppose 5*o = 2*o + x. Suppose 0 = -4*i - t + o, -5*i + 147 = -5*t - 233. What is the units digit of i?
6
Let o(y) = 3*y + 3. Let t be o(0). Suppose -3*d - t*c = -2*c - 1347, d = -3*c + 441. What is the hundreds digit of d?
4
Let q = 40 + 1. Suppose 46*g - 2230 = q*g. What is the units digit of g?
6
Let w = 44 - 39. Suppose 5*t + z = 1213, 737 = 3*t - w*z + z. What is the hundreds digit of t?
2
Let a = 13446 + -8046. What is the thousands digit of a?
5
Let r = 118 - -5080. What is the thousands digit of r?
5
Let z(v) = -9*v - 4. Let o be z(5). Let n(b) = -101*b**3 - 2*b**2 + 1. Let s be n(1). Let c = o - s. What is the units digit of c?
3
What is the hundreds digit of (6/15)/((32/64760)/4)?
2
Suppose 10*d + 11283 = 48443. What is the hundreds digit of d?
7
Suppose 0 = -51*k + 50*k. Suppose -4*r + 88 + 840 = k. What is the hundreds digit of r?
2
Let g = -4231 + 8521. What is the units digit of g?
0
Let a = -2184 + 2639. What is the tens digit of a?
5
Let a(u) = -34*u**3 + 5*u**2 - 4. Let j(c) = 69*c**3 - 11*c**2 + 8. Let v(z) = -5*a(z) - 2*j(z). What is the hundreds digit of v(2)?
2
Let k = -300 + 551. Let u = k - 99. Let f = 244 - u. What is the units digit of f?
2
Suppose -9 = 5*h + 11. What is the units digit of (-40)/12 - h - (-3054)/9?
0
Let w = 44 - 44. Suppose w = -2*d + c + 65, -3*c + 134 - 23 = 3*d. What is the tens digit of d?
3
Suppose 3*h = 1 - 7. What is the units digit of -4*h/14 - 1802/(-7)?
8
Suppose 61*v - 49396 - 64519 = 2839. What is the tens digit of v?
1
Let u be (-3 - 2) + (12 - 10). What is the units digit of (-3)/(-18) + 202*u/(-36)?
7
Let y = 144 + -144. Suppose 6*f - 1153 - 473 = y. What is the tens digit of f?
7
What is the tens digit of (2422 + (2 - 1))/(-4 - (-27)/6)?
4
Let b be (-19)/(-1) - 0 - (14 - 10). Suppose -b*a + 0*a + 1320 = 0. What is the units digit of a?
8
Suppose 4*x + 20 = 4*h, 0 = -2*h + x + 5. Let d(p) = -4*p + 2*p + h*p + 0*p + 9. What is the units digit of d(-4)?
7
Suppose 2*w + 16 = -3*k - 3*w, 2*k + 14 = -4*w. Suppose k*q - 964 = -244. Suppose -2*v - q = -5*v. What is the tens digit of v?
8
Suppose 3630 = 5*o - 5*y, -o + 2*y = 5*y - 746. Let l = o + -335. What is the hundreds digit of l?
3
Let w be -10*(-6)/15 + 976. Let h = -332 + w. What is the units digit of h/84*14/3?
6
Let q(r) = 349*r + 560. What is the tens digit of q(22)?
3
Let y(a) = a**3 + 12*a**2 - 12*a + 18. Let m be y(-13). Suppose 4*z = m - 1. Let l = 99 + z. What is the tens digit of l?
0
Let l be 14/3*(-18)/3. Let u(n) = n**3 + 8*n**2 + 7*n + 7. Let j be u(-6). Let x = l + j. What is the units digit of x?
9
Let v(l) = -l**3 + l**2 + 3*l + 9. Let w be v(-5). Suppose 13*t - 5*t = w. Suppose 3*g - y - 3*y - 54 = 0, -5*y = g - t. What is the units digit of g?
8
Let q(d) = 131*d**2 - 100*d - 847. What is the units digit of q(-8)?
7
Let a be (5 + 1)*(-6 - (-21)/(-2)). Let j = a + 351. What is the units digit of j?
2
Let v be 3 + (1 - 2)*1. Suppose v*u + 79 = -5*w + 798, -4*w - u + 574 = 0. What is the tens digit of w?
4
Let a be -16*1*(4 + -5). Suppose 4*y = -2*g + 1776, -y - a*g + 430 = -19*g. What is the tens digit of y?
4
Let k(q) = -q**2 - 15*q - 2. Let w = -42 - -36. Let m be k(w). What is the units digit of 20/(-8)*m/(-5)?
6
Suppose 4*z + 5*b - 42720 = -z, 4*z = -5*b + 34180. What is the thousands digit of z?
8
Let t(g) = -g + 33. Let c be t(-17). Let n = -50 + c. What is the tens digit of (-33)/(-22)*(10 - n)?
1
Suppose 113581 = 183*b - 170*b. What is the hundreds digit of b?
7
What is the units digit of 427/244 + 794/8?
1
Let u(c) = 5530*c**2 + 31*c - 8. What is the units digit of u(1)?
3
What is the hundreds digit of (-695744)/(-108) - (6 + (-320)/54)?
4
Let f = -1844 + 8633. What is the units digit of f?
9
Let u = 23475 + -14368. What is the units digit of u?
7
Let q = -72 + 84. What is the hundreds digit of ((-24)/20)/(q/(-3570))?
3
Let v(m) = -2*m**2 - 222*m - 302. What is the tens digit of v(-50)?
9
Suppose -5*h - u + 9206 = 0, -2*h = 37*u - 32*u - 3687. What is the tens digit of h?
4
Suppose 3*u + 27*u - 1167 = 1353. What is the tens digit of u?
8
What is the units digit of 11734/(-8)*(-2 - (4 + -2))?
7
Let r be (-3 - (-33)/21)*-7. Suppose z = 4*z - s - r, 5*z = s + 20. Let b(k) = k**3 - 6*k**2 + 8*k - 6. What is the units digit of b(z)?
9
Let d = -145 + 148. Suppose -d*q + 496 + 548 = 0. What is the hundreds digit of q?
3
Let d be (-3 + (-16)/(-5))*15. Suppose -d*h - 105 = -4*r + r, 4*r = -8. Let a = h + 40. What is the units digit of a?
3
What is the thousands digit of (-686 - (8 + -7))*-14?
9
Let a = 30 + -6. Suppose h + 5*r - a = 0, -h - 9 = -5*r - 3. Let u = h - -26. What is the units digit of u?
5
Suppose 4*k + 3*x = 22251, 3*k - 156*x - 16710 = -151*x. What is the hundreds digit of k?
5
Suppose o + 23 = 25. Suppose 5*v = o*m + 1160, -4*m - 323 = -2*v + 125. What is the hundreds digit of v?
2
Let j = 5569 - -70. What is the hundreds digit of j?
6
Let l(y) = -3*y + 47. Let d(s) = 10*s - 142. Suppose 0 = -3*t + 5*t - n - 19, 39 = 2*t - 5*n. Let u(x) = t*l(x) + 2*d(x). What is the units digit of u(0)?
5
Let k be 3 + 0 + -370 + 2/1. Let b = 699 + k. What is the units digit of b?
4
Let c = 206 - -8. Suppose 668 = 6*f - c. What is the tens digit of f?
4
Suppose -137*y + 141*y = -3*u + 33322, -2*u + 8328 = y. What is the units digit of y?
2
Let k = 28 - 11. Let g = 30 - k. Suppose g*z - 140 = 8*z. What is the tens digit of z?
2
Let i(d) = -440*d**3 - 2*d**2 + 2*d + 4. What is the thousands digit of i(-2)?
3
Let i = 1077 - -874. What is the tens digit of i?
5
Let v = 43 + -38. Suppose 3*x - v*y - 435 = 0, -x - 5*y = 3*x - 580. What is the tens digit of x?
4
Let d(y) = -5*y**2 + 3*y + 19. Let m(v) = 4*v**2 - 2*v - 19. Let x(l) = 3*d(l) + 4*m(l). Suppose 50*w - 73*w = -161. What is the tens digit of x(w)?
3
Let l(a) = -92*a**3 - 6*a**2 - 53*a - 141. What is the units digit of l(-3)?
8
Let q = 3596 - 1824. Suppose 0 = i - 10*a + 7*a - 346, -a - q = -5*i. What is the tens digit of i?
5
Suppose 2*z + 454 = -134. Let v = -20 - z. What is the tens digit of v?
7
Let o(w) = 213*w**2 + 8*w - 13. What is the thousands digit of o(6)?
7
Let v be -1*1*(42 + 155). Let y = 5 - v. What is the hundreds digit of y?
2
Let h = 68 - 33. Suppose 3*j = 4*b + h, -9*j + 2*b = -10*j + 25. What is the units digit of j?
7
Let k(o) = 283*o**2 - 12*o - 282*o**2 - 25 + 0*o. What is the tens digit of k(15)?
2
Let z(i) = 1353*i**3 - 2*i**2 + 7*i - 5. What is the tens digit of z(1)?
5
Suppose -1 = -a, -11*q + 5*a = -8*q - 8872. What is the tens digit of q?
5
Let w = -586 - -262. What is the hundreds digit of (-23)/(16/4 + w/80)?
4
Suppose 2*m + 8 = b - 5, 0 = 4*b + m - 16. Suppose 0 = 6*q - q + b*l - 1185, -2*l + 1200 = 5*q. What is the tens digit of q?
4
Let q(f) = 8*f**2 + 59*f + 85. What is the units digit of q(-10)?
5
Suppose -4*h + 18 = 5*h. Suppose -c = 0, h*n = -3*c - c + 418. What is the units digit of n?
9
Suppose -15*z - 57 = -72*z. What is the units digit of z?
1
Let z(o) = 116*o**2 + 12*o - 18. Let v be z(2). Suppose -2*w + 2*r = -v, 0 = 4*w + 4*r - 2*r - 934. What is the hundreds digit of w?
2
Let q(f) = 78*f + 18. Let s be (5/20)/((-5)/(-100)). What is the units digit of q(s)?
8
Let o(f) = -f**2 + 12*f + 15. Let a be 78*(-16)/(-168) - (-8)/14. What is the units digit of o(a)?
7
What is the tens digit of ((-24)/(-14))/((-52)/(-195286))?
3
Let h(w) = -693*w + 31. What is the units digit of h(-1)?
4
Let o = -1506 + 3296. What is the tens digit of o?
9
Let n(v) = 5829*v + 217. What is the units digit of n(1)?
6
Let s(f) = f**3 - 11*f**2 + 15*f - 11. Let m be s(10). Let o = 39 - m. Suppose -2*l - 3*l + 205 = o. What is the units digit of l?
1
Let y(c) = c**3 + 8*c**2 + 9*c - 14. Let a be y(-5). Suppose -a*d + 0*d + 5952 = 0. What is the units digit of d?
2
Let o(x) = 15*x - 1. Let h be o(2). Let w = -13 + h. What is the tens digit of 4 + 4/(w/388)?
0
Suppose 24*f = 28*f - 1376. Suppose -l - 180 = -d, 2*l - f = -5*d + 3*d. What is the tens digit of d?
7
Suppose -85*s + 329265 = 7*s + 43*s. What is the hundreds digit of s?
4
Let p(f) = -11 + f**2 + 4*f + 16 + 4*f + 8. Let u be p(-4). Let y(r) = -4*r**3 - 2*r**2 + 4*r - 4. What is the units digit of y(u)?
4
Let d(n) = 3*n - 92. Let h be d(30). What is the units digit of h*25/(-10)*(-252)/(-20)?
3
Let w(r) = -10*r + 1029. What is the tens digit of w(19)?
3
Let z(f) = -2*f**3 + 14*f**2 - 5*f - 27. Let l be z(7). What is the tens digit of l/3*(-6)/8*14?
1
Let x = 2278 + -3562. What is the units digit of ((-21)/14)/(9/x)?
4
Let f be -1 + 1 - (-1 - -1). Let y(k) = -2*k**3 - k + 3*k**3 - k**2 + 1 + 1 + f*k**2. What is the units digit of y(5)?
7
Let v(j) = -j**3 - 30*j**2 - 28*j + 32. Let g be v(-29). Suppose -d = 3*o - 188 - 594, -3*o = -g*d - 798. What is the units digit of o?
2
Let x = 122 + -125. What is the tens digit of (25/(-1))/(x*4/96)?
0
Let d(f) = 9*f**2 + 34*f + 38. What is the thousands digit of d(-20)?
2
Suppose 0 = -4*s + 3*d + 132, -6*s + 74 = -3*s + 4*d. Let v = 80 - s. What is the units digit of v?
0
Let i(k) = 11*k**2 + 89*k - 309. What is the hundreds digit of i(-34)?
3
Let b(n) = 134*n**2 - 6 - 271*n**2 + 13*n + 144*n**2. What is the tens digit of b(6)?
2
Let a be (27/(-6))/(6/(-32)). What is the hundreds digit of 4140/a - 9/12*2?
1
Suppose -22 = q - 4*o, 2*q = 5*o - 0*o - 32. Let n be 1 + q + (-3)/(-3). What is the units digit of (-2)/3 - n/(48/932)?
7
Let a = 654 - -344. Suppose 0 = -8*u + a + 1778. What is the units digit of u?
7
Suppose 5*m + 2*s + 3*s = 0, 0 = 3*m + 4*s + 2. Suppose 0 = 5*d + m*a + 254, 5*d - 4*a + 240 = a. Let v = -4 - d. What is the tens digit of v?
4
Let s = 45 + -66. Let p = 111 - -5. Let i = p + s. What is the tens digit of i?
9
Suppose -3*i = n - 8861, -9*i + 10143 = n - 16430. What is the hundreds digit of i?
9
Let f = 148 + -145. Suppose -2*k + f*j + 514 = 0, -7*k + 5*k + 514 = -4*j. What is the units digit of k?
7
Suppose 0 = 3*b - 2*r + 6, -5*r + 15 = b. Suppose l + 41 + 30 = b. Let a = -34 - l. What is the units digit of a?
7
Suppose 0 = -b - 0*b + 2. Suppose 3*h - 7 = 5*u, -3*h - 5*u - 9 = -b*u. What is the tens digit of ((-12)/8 - h) + (-237)/(-6)?
3
Suppose 32*t - 8*t = -3408. Let i = t + 412. What is the hundreds digit of i?
2
Let c(i) = 1131*i + 711. What is the thousands digit of c(6)?
7
Suppose -7285 = -n + l, -2*n + 3*l + 383 = -14185. What is the hundreds digit of n?
2
Let x(d) = -d**2 - 22*d + 16. Let g be x(-10). Suppose o - g = 42. Suppose -103 = 3*b + l - 365, 2*b + 4*l = o. What is the units digit of b?
7
Let u(t) = 5779*t + 22. What is the thousands digit of u(1)?
5
Suppose -5*s - j + 27544 = 0, -28*j + 22052 = 4*s - 23*j. What is the tens digit of s?
0
Suppose l - 5*m = 3834, -61*l = -65*l + m + 15298. What is the tens digit of l?
2
Suppose u = -5*b + 1, 3*b + 2 + 7 = -3*u. Let x(p) = 73*p**3 - p**2 - p. Let z be x(b). Let s = z - 46. What is the tens digit of s?
2
Suppose 8*p = 15*p - 23636 - 37180. What is the tens digit of p?
8
Let j be -1*(-1 - (-3 - -5)). Suppose -9 = 4*w + j*p - 32, -2*p - 8 = -2*w. Suppose 5*t + 75 = w*s, -66 + 27 = -s - 5*t. What is the tens digit of s?
1
Suppose -36*l + 196989 = 27033. What is the hundreds digit of l?
7
Suppose 0 = 4*k + 8, -4*y - 2*k + 0*k + 80 = 0. Let a = 14 + y. Suppose -a*f + 31*f + 176 = 0. What is the tens digit of f?
4
Suppose -v + 1831 + 1359 = 5*w, 6352 = 2*v + 3*w. What is the thousands digit of v?
3
Let s(p) = 6*p**2 + 30*p - 13. Let z be s(-8). Suppose 125*x + 930 = z*x. What is the tens digit of x?
5
Let c(d) = 3*d**2 - d + 4. Let n be c(0). Suppose 0 = n*h + 4*v - 1100, 3*h + 11*v = 6*v + 827. What is the hundreds digit of h?
2
What is the thousands digit of 363/3388 - (-2)/(-8) - (-41358)/14?
2
Suppose -3*t - 248 = -329. What is the units digit of t?
7
Let b(f) = -f**3 + 24*f**2 - 9*f - 8. Suppose 4*w + 5*r = 82, w - 100 = -3*w + 4*r. What is the tens digit of b(w)?
1
Suppose -17*z + 338 = -869. What is the tens digit of z?
7
Suppose -4*a + o = -14739, -20*a + 22*a + 2*o = 7362. What is the hundreds digit of a?
6
Suppose -204 = 8*s - 20*s. Suppose -1068 = 5*d - s*d. What is the tens digit of d?
8
Suppose 5075 = -3*o + 10607 + 6702. What is the thousands digit of o?
4
Let g = -327 - -534. What is the units digit of (-24)/(-6)*g/2?
4
What is the tens digit of (-58)/754 - 247756/(-26)?
2
Suppose 0 = 14*b - 2962 - 1980. Suppose 3*c - b - 400 = 0. What is the tens digit of c?
5
Let r = 148 + -270. What is the tens digit of r/10*(-165)/33?
6
Suppose -2*b = -4 - 4, -2*g - 2*b = -16. Suppose 2*h + g*j = 7*j + 379, 0 = 4*j + 4. What is the hundreds digit of h?
1
Suppose 5*h - 10*h + 76832 = 9*h. What is the hundreds digit of h?
4
Let u be (-3)/(-5)*190/38. Let c(x) = 19*x**2 + 3*x - 8. What is the hundreds digit of c(u)?
1
Suppose -5*m = 3*b - 101, 0 = 2*b - 4*m + m - 99. Suppose 6*z = z - 25. Let j = z + b. What is the tens digit of j?
3
What is the units digit of -2 + 105/(-2)*(-72)/54?
8
What is the thousands digit of 15666/12 + (-10)/(-4) + -2?
1
Let q(g) = 317*g**2 - 7*g - 6. Let v be q(-1). Suppose 4*u = j - v, 5*u - 339 = -j + 2*u. What is the hundreds digit of j?
3
Let b(o) = -o**3 - 8*o**2 - 39*o - 85. What is the tens digit of b(-14)?
3
Let f be 5299/10 + 51/510. Suppose 5*o + t - 1482 = f, 3*o = 3*t + 1200. What is the hundreds digit of o?
4
Let w be 7/(-28) + 129/(-12). Let n(o) = -39*o + 33. What is the units digit of n(w)?
2
Suppose 0 = -3*y + 82 + 35. Suppose 2 = -2*i, -i - y - 29 = -r. What is the tens digit of r?
6
Let m = 201 - 208. Let z(p) = -40*p + 76. What is the units digit of z(m)?
6
Suppose 12 = 4*v - f, -10*v + 8*v = f. Suppose 3*a + 202 = 2*q + 6*a, 5*a = v*q - 218. What is the hundreds digit of q?
1
Suppose 0 = -3*w + 10*w - 8792. Suppose -4*j = -3*q - w, 0*j = -2*j - 3*q + 628. What is the units digit of j?
4
Let o(j) = 2*j + 22. Let b be o(-10). What is the units digit of ((-616)/(-18) + b/(-9))*7?
8
Let r(z) = -z**2 - 20*z + 20. Suppose 8*w + 85 = -11. What is the units digit of r(w)?
6
Let t = -107 + 107. Suppose t = 47*m - 57*m + 4060. What is the tens digit of m?
0
Let k(t) = 30*t + 4. Let z be k(5). Suppose -9*v + z = -539. What is the units digit of v?
7
Let z(w) = -w**2 + 3*w + 3. Let a be z(3). Let j = a - -8. Suppose 9*t + 102 = j*t. What is the tens digit of t?
5
Let c(y) = -y**3 - 18*y**2 - 17*y + 27. Let p be c(-18). What is the tens digit of (p*(-12)/(-9))/1?
4
Let y be 490/105*(-6)/(-4). Suppose y*q + 19 = 26. What is the units digit of q?
1
Let j(u) = -4*u**3 - 8*u**2 - 10*u - 3. Let h be j(-5). Suppose -r + h = -3*c, -c = -2*r + 5*r - 1091. What is the tens digit of r?
6
Suppose 9572 + 27476 = 5*h + 6293. What is the tens digit of h?
5
Let t be 168/35*60/18. Let f = -3 + 14. Suppose f*w = t*w - 90. What is the tens digit of w?
1
Suppose 35*x - r + 39809 = 39*x, -x + 3*r = -9949. What is the tens digit of x?
5
Suppose -5*b - 9 = -8*b. Suppose 3*n = -3*w - n - 18, 0 = 5*w + b*n + 19. What is the units digit of (-144)/w + (-6 - -5)?
1
Suppose 144597 = -47*k + 485159. What is the tens digit of k?
4
Let i be 1/(-1)*1/3*-18. Suppose -5*x = -x - 8, -x - i = -2*l. Suppose z = -l*z - 3*d + 42, 4*d - 41 = -5*z. What is the units digit of z?
9
Suppose -2977 = -5*n + 16*s - 18*s, n - 599 = -4*s. Let y = n - 334. What is the units digit of y?
1
Suppose -20*n = -13*n - 14. Suppose 0 = -n*b + 3*p - 0*p + 722, -722 = -2*b + 2*p. What is the units digit of b?
1
Let s(n) = 64 - 43 - n**2 + 13*n - 37. What is the tens digit of s(7)?
2
What is the hundreds digit of -2 + (-91530)/(-17) + (-494)/4199?
3
Let s(x) = x**3 - 14*x**2 - x + 16. Let g be s(14). Let m(k) = 2 - 16*k + g*k**2 - 8*k**2 + 5*k**2. What is the tens digit of m(-12)?
5
Let k(u) = -u + 27. Let w be k(6). Suppose 0 = w*t - 166 - 65. What is the units digit of t?
1
Suppose 45*a - 48*a + 19831 = -4*o, 2*o + 2 = 0. What is the thousands digit of a?
6
Let r(k) = -5503*k - 151. What is the thousands digit of r(-1)?
5
Suppose 4*j - 39406 = -2*t, -29535 = 2*j - 5*j + 5*t. What is the thousands digit of j?
9
Suppose 8*y + 40 = 4*y. Let g = 10 + y. Suppose -2*k - 2 = 0, -2*k - 3 + g = -r. What is the units digit of r?
1
Let s be 2/(7*10/1015). Let y(q) = 6*q - 100. What is the units digit of y(s)?
4
Suppose -3*j = -11 - 1. Let i(b) = 3*b**3 + b**2 - 9*b + 1. What is the hundreds digit of i(j)?
1
Let l = -22 - -22. Let z be 9 - (l*(-3)/9 + 0). Suppose 10*v = z*v + 45. What is the units digit of v?
5
Suppose 5*p - 1302 = -v, -2*p - 4*v - 29 = -539. Let f be (-2786)/17 + 404/(-3434). Let o = p + f. What is the units digit of o?
7
Let i(y) = -2*y**3 + 37*y**2 + 15*y - 99. What is the hundreds digit of i(-12)?
5
Suppose 5*u + 30798 = -322*p + 326*p, -38491 = -5*p + 3*u. What is the thousands digit of p?
7
Suppose 0 = -5*x - q + 160, -3*x + 6*x = -4*q + 96. Suppose -2005 = -7*o + 2*o. What is the tens digit of o/4 - (-24)/x?
0
Let q(o) = -o**3 - 9*o**2 - 9*o + 38. Let p be q(-7). Suppose -g + 2*j + 437 = 0, -p*j - 1773 = -12*g + 8*g. What is the units digit of g?
7
Suppose -4*i - 2471 = -7999. Suppose -6*h + 412 = -i. What is the units digit of h?
9
Let w = -6028 - -10229. What is the units digit of w?
1
Suppose -2*t + 321 = t. Suppose 0 = -59*h + 11*h - 2208. Let r = h + t. What is the tens digit of r?
6
Suppose -15*c + 3054 + 3846 = 0. What is the hundreds digit of c?
4
Suppose -4*o + 6*j = -2440, 9*j = 6*j + 12. What is the hundreds digit of o?
6
Suppose -4*z + 14*o - 15*o - 30 = 0, 2*z + 3*o + 20 = 0. Let q(b) = -46*b - 21. What is the tens digit of q(z)?
0
Suppose 2*k = -0*p - 4*p + 26, -10 = -2*k. Suppose f = p*j - 471, -4*j - 4*f = -269 - 187. What is the tens digit of j?
1
What is the units digit of (-74550)/(-8) - (-174)/696?
9
What is the tens digit of 1/(-4)*(-626 + (2 - -2))*40?
2
Suppose 35*h = -0*h + 87360. What is the thousands digit of h?
2
Let c be 161/(-4) - 14/(-56). What is the hundreds digit of -20*((-220)/c)/((-2)/3)?
1
Let j(v) = -8*v + 141. Let x be j(-22). Let c = x - 174. What is the tens digit of c?
4
Let q be -5 - (-2 + -1) - -6. Suppose 4 = -4*c, 4*y - q*c - 8 = 2*y. Suppose 3*o + 18 - 60 = -2*s, 58 = y*s - 5*o. What is the units digit of s?
4
Suppose b = 5*o - 1895, -266 = 4*o - 5*b - 1761. Suppose -3*t = -5*t + o. Suppose 8*q = t + 18. What is the units digit of q?
6
Let i = -100 - -80. What is the tens digit of i/5*-1 + -5 - -411?
1
Suppose -w + 10 + 6 = 2*c, 0 = 5*c - 4*w - 14. Suppose -2*s - 3*s - 20 = 0. Let g = c - s. What is the tens digit of g?
1
Let s(v) = 0*v**3 + 0*v**3 - 17*v**2 + v**3 + 23 - v. Let f be s(17). Suppose -f*q = -355 - 155. What is the tens digit of q?
8
Suppose -3*g + 4*c = 1 - 14, 0 = -3*c - 3. Suppose 0 = -5*o - 2*b + 44, 5*o - 41 = -g*b - 0. Suppose 4*x - o*x + 264 = 0. What is the tens digit of x?
4
Suppose -3*a - 58 = -1399. Suppose 5*u - 459 = l + 269, -3*u = -4*l - a. What is the tens digit of u?
4
Let a = -699 - -9363. What is the hundreds digit of a?
6
Let t(y) = 6*y**2 - 2*y - 12. Let z be t(-6). Let c be (3 + 18/(-8))*(3 - -1). Suppose z = 3*g + 5*p, g + 326 = 6*g - c*p. What is the tens digit of g?
6
Let x = 7 + -7. Let g be x + 0 + 12/6. Suppose -g*t + 196 = 24. What is the units digit of t?
6
Let m(u) = -u**2 - 18*u - 8. Let q be m(-15). Let z = -64 + q. What is the tens digit of -105*((-3)/1)/(z/(-6))?
7
Let n = 372 - -3858. What is the tens digit of n?
3
Let y(w) = 2*w**2 - 6*w - 32. Suppose 2*z = -5*o, -2*z + o = -z + 14. What is the hundreds digit of y(z)?
2
Let w = 13634 - 9289. What is the thousands digit of w?
4
Let g(x) = 48*x + 24. Let b(r) = 3*r**2 + 10*r - 17. Let s be b(-5). What is the hundreds digit of g(s)?
4
Let f(t) = t**3 + 8*t**2 - 12*t - 22. Let h be f(-9). Let v(r) = 5*r + 13 - 4 - 4 + 0. What is the tens digit of v(h)?
3
Let p be -3*(-8)/(-6) - 15161. Let h be 2/7 + p/(-63). Let v = h - 164. What is the units digit of v?
7
Let x(w) = 3*w**2 + 23*w + 70. Let d be x(-17). Suppose -2*i - d = -2*n + 3*i, 2*i = -4*n + 1092. What is the units digit of n?
3
Suppose -5*d + u + 53 = -3*d, -4*d + u = -107. Suppose -3*h + 39 + d = 3*l, 4*h + 3*l = 86. What is the tens digit of h?
2
Let o(k) = -k**3 + 40*k**2 - 12*k - 379. What is the units digit of o(38)?
3
Let s = 881 - -1724. What is the units digit of s?
5
Let y = -28 - -37. Suppose -4*w - 10 = -y*w. Suppose 3*c = -c + 4*n + 368, -196 = -2*c - w*n. What is the units digit of c?
5
What is the thousands digit of (9/45*(-1630)/(-8))/((-2)/(-104))?
2
Let s(z) = z + 1. Let x(n) = -5*n - 12. Let v(d) = -4*s(d) - x(d). Let r be v(-8). Suppose 5*h - 64 - 366 = r. What is the units digit of h?
6
Let z(f) be the third derivative of f**5/15 + f**4/4 - 3*f**3/2 - f**2. Suppose 8*q = 376 - 424. What is the units digit of z(q)?
9
Let i = 204 + -196. Suppose 5*c = i*c - 465. What is the units digit of c?
5
Let i be (0 + -3)/(5/635). Let q = i + 746. What is the units digit of q?
5
Suppose -1981 = 101*u - 9657. What is the tens digit of u?
7
Let v = -1676 + 3052. Suppose 3*r = 7*r - v. What is the units digit of r?
4
What is the thousands digit of 5231 - 84/(-18)*30/35?
5
Let n(g) = g**3 + 66*g**2 - 63*g - 278. What is the units digit of n(-66)?
0
What is the units digit of -2 + 11 + -11 + 7046?
4
Let j = 206 + -204. Suppose -826 = -4*z + j*h, 2*z = 4*z + 3*h - 409. What is the tens digit of z?
0
Let n be 60 - -1 - (-8)/(-2). Suppose 3*s - 84 - n = 0. Suppose 0 = -d + u + 3*u + s, 3*d - 201 = -3*u. What is the units digit of d?
3
Suppose -k = 2*u + 2, -5*k + 12 = 2. Let h = 2 - u. Suppose -4*y = z + 2*z - 169, -4*y = -h*z - 148. What is the tens digit of y?
4
Let o = -24 + 28. Let u(i) = -i - 6. Let m be u(o). Let w = m - -68. What is the tens digit of w?
5
Suppose -4*s + 5*r = 25, -s = 4*s - 3*r + 15. Let g(k) = -k**2 + 12*k + 88. Let p be g(17). What is the units digit of 4 - (-204)/(p - s)?
2
Let w be (-1 + 1)/(3 - 4). Let p(g) = g + 8. Let o be p(w). Let n(l) = 6*l + 26. What is the tens digit of n(o)?
7
Suppose 12*l - 3170 - 2902 = 0. Let f = l + -348. What is the units digit of f?
8
Let x = 653 - 453. Suppose 2698 = -l + 20*l. Let t = x - l. What is the tens digit of t?
5
Let w = 179 + -181. What is the hundreds digit of (4 + 2 + -17)/(w/68)?
3
What is the units digit of 7884633/930 - ((-36)/40 + (-2)/(-2))?
8
Suppose -3*c - 13 = -z, 5*z - 8 = -2*c + 6. Suppose 59 + z = 3*y. What is the units digit of y?
1
Suppose 0*j = 5*j - 30. Let r(h) = 13*h**2 - 5*h + 2. Let m be r(3). What is the units digit of 3*m/j + (-3)/(-1)?
5
Let j be ((-62)/3)/((-14)/21). Suppose 2242 = -12*s + j*s. What is the hundreds digit of s?
1
Let l(v) = 12*v**2 + 189*v + 47. What is the units digit of l(-26)?
5
Let m = -407 - -2235. What is the hundreds digit of m?
8
Suppose -2*n - 2*a = -a - 101, -n = a - 52. Let o = n + -41. Suppose -4*j = -o*j + 28. What is the units digit of j?
7
Let n be (-1 - -1656) + -1 + (3 - 0). Suppose -u + 1243 = 2*u + c, -4*u - c = -n. What is the hundreds digit of u?
4
Let m(b) = b**3 + b**2 + 2. Suppose -h + 3*h = -p - 5, -5 = p. Let z be m(h). Suppose -5*v - 109 = -z*d, 0 = 5*d - v - 345 + 107. What is the units digit of d?
7
Let m(o) = -11*o**2 + 334*o + 5. What is the thousands digit of m(9)?
2
Let k be 6*(-1)/(-6)*2. Suppose 0 = k*i - 9 - 85. What is the tens digit of i?
4
Suppose 12 = 50*d - 47*d. Suppose 5*n = 5*o + 2*n + 18, d*o + 10 = -2*n. What is the units digit of (156/(-14))/(o + (-80)/(-28))?
8
Suppose g - 5*a - 9116 = 0, -g + 344*a = 342*a - 9101. What is the thousands digit of g?
9
Suppose -w + 57 = 2*j, 2*j + w = -3*w + 66. What is the tens digit of (-123)/j*-3*6?
8
Let x be 245/56 - (-6)/(-16). Suppose 2*w = -x*m + 678, 0*m - 4*w = -4*m + 648. What is the hundreds digit of m?
1
Let j = -181 - -1551. What is the thousands digit of j?
1
What is the thousands digit of (209664/27 - 27) + (-4)/(-6) + 0?
7
Suppose -45*m + 4498 = 403. Let c(h) = h**3 + 3*h**2 - 5*h + 2. Let a be c(-4). Suppose m = 4*v + 3*t - a, -v = t - 24. What is the units digit of v?
5
Suppose -5*b = 5*s - 1770, 5*b + 0*s - 1772 = -4*s. Suppose -3*o - o + 2*x = -b, -2*x - 444 = -5*o. What is the tens digit of o?
8
Suppose -156*u + 16573 = 2*r - 157*u, 4*r = -u + 33155. What is the thousands digit of r?
8
Let l(k) = -822*k**3 + 7*k + 8. What is the hundreds digit of l(-2)?
5
Suppose 5*d - 6*u = -5*u + 95, -5*u - 79 = -3*d. Suppose -6*t + t + 2*x = -d, -14 = -4*t + 2*x. What is the units digit of t?
4
Let d be (-21)/(-4) - 1/4. Suppose 0 = d*b - 63 - 7. What is the units digit of 402/42 - (-6)/b?
0
Let w(p) = -p**3 - 20*p**2 - 23*p - 40. Let m be w(-19). Suppose 1239 = m*o - 33*o. What is the tens digit of o?
1
Let g(l) = l. Let y(v) = -v**2 - 10*v + 7. Let z(q) = 3*g(q) - y(q). What is the tens digit of z(-19)?
0
Let o(k) = -3*k**2 + 44*k + 19. Let u be o(15). Suppose 2*t + 1572 = 5*x, 3*x = u*x + 5*t - 309. What is the hundreds digit of x?
3
Let q be 1/4 + 1558/8. Suppose 171*i + q = 176*i. What is the tens digit of i?
3
Let u be (-207)/(-72) + (-1)/(-8). Suppose -u*f + 4*f = 4. Suppose f*i + 4*t - 192 = -i, t - 111 = -3*i. What is the tens digit of i?
3
What is the units digit of -5*((-3)/9 + 20998/(-15))?
1
Let t be -1 - (-8)/((-48)/2934). Let x = t - -849. What is the units digit of x?
9
Suppose -38*s - 29208 = -231903 - 127563. What is the units digit of s?
1
Suppose 3*k + 18*g - 13*g = 19765, -2*k - g = -13165. What is the hundreds digit of k?
5
Suppose 74*r = -7*r + 581989 - 157387. What is the units digit of r?
2
Suppose -4*i = -2*c + 3512, c - 476 = 3*i + 1278. Suppose -11*f + c = -f. What is the hundreds digit of f?
1
Let i = -206 - -492. Suppose -i = -g - g. Suppose 0 = 2*x - 5*q - g, -2*q = -3*x + 2*q + 218. What is the tens digit of x?
7
Let z(i) = 23*i**2 + 3. Let j be z(3). Suppose 2*g = -4*w + 464 + j, -4*w = -5*g - 681. What is the tens digit of w?
6
Let y(o) = -o**2 + 13*o - 40. Let g be y(6). What is the tens digit of (g/(-5))/((-2)/1600)?
2
Let n be (-4)/((2/(-2))/1). Suppose 2*k = 2 + n. Suppose -k*h - 42 = -3*l, 0 = -l - h - 2 + 16. What is the tens digit of l?
1
Let w(z) = 194*z + 60. What is the units digit of w(14)?
6
Suppose -3*l + o - 20 = -4*o, -4*o + 16 = 0. Suppose -2*f + 2*n + 632 = l, -f + 641 = f + n. What is the tens digit of f?
1
Let c be (-4)/10 - 91/35. Let i be (20/15 + -4)*c. Suppose i*t - 265 + 25 = 0. What is the units digit of t?
0
Let r(t) = 44*t + 686. What is the units digit of r(26)?
0
Let p(a) be the second derivative of -1/20*a**5 + 0 - a**2 - 5/6*a**4 + 5/3*a**3 + 9*a. What is the units digit of p(-11)?
9
Let d(q) = 7*q**2. Let p be d(1). Suppose 0 = 2*l - p*l + 10. Suppose -5*i + l = -343. What is the units digit of i?
9
Let f(h) = -10*h**2 + 28*h - 14. Suppose -8 = -4*p, -d - 2 + 17 = 4*p. Let y(c) = 3*c**2 - 9*c + 5. Let w(b) = d*y(b) + 2*f(b). What is the tens digit of w(8)?
1
Suppose -5*q - 107 = 4*z, 3*z + 7 + 68 = -2*q. Let n(o) = o**3 + 22*o**2 - 37*o - 65. What is the hundreds digit of n(z)?
2
Suppose 2*s = 5*q + 4*s - 471, s + 183 = 2*q. Let w = 55 - 52. Suppose -w*i = -2*i - q. What is the units digit of i?
3
Let n(y) = y**2 + 2*y - 7. Let b be n(3). Suppose 2*z - 2 - b = 0. Suppose z*f - 448 = 22. What is the tens digit of f?
9
Suppose -60 = 4*f + 4*c, -c - c = 3*f + 49. Let y = -68 + 110. Let o = y - f. What is the tens digit of o?
6
Suppose 2*v = -2*p - 52 - 194, 2*p = v - 261. Let w = -76 - p. Let y = w - 35. What is the tens digit of y?
1
Let a(v) = -v**2 - 6*v + 2. Let k be a(-6). Suppose x - 8 = k*x. Let h = x + 35. What is the units digit of h?
7
Suppose -135*t + 127*t + 49992 = 0. What is the hundreds digit of t?
2
Let k(x) = -x**2 + 6*x + 322. Let g be -6 + (-2 - -9) - 1. What is the tens digit of k(g)?
2
Suppose 2*w - 2*o = 556, 0 - 2 = o. Let y be -4*(w/(-16))/(-1). Let m = y - -167. What is the tens digit of m?
9
Let s be (-1 + 2)*1*-3. Let i(l) = -563 + 1126 - 554 - 14*l. What is the tens digit of i(s)?
5
Suppose -u + 16 = 5*i - 34, 0 = 5*u + 5*i - 350. Suppose 0 = -d - u - 13. Let k = 11 - d. What is the tens digit of k?
9
Suppose 47*h + 7130 = 49*h. What is the hundreds digit of h?
5
Let o = 3203 - 2345. What is the tens digit of o?
5
Let j = 134 + -130. What is the units digit of 265 - (-2 - -3)/(j/(-8))?
7
Suppose 10*c = -129 + 19. Let q(u) = -u**3 - 11*u**2 - 29*u - 17. What is the tens digit of q(c)?
0
Suppose i + 0*n - n = 5, -5*i + 25 = 3*n. Suppose 10*c - 5*c - 1070 = 3*j, 2*c - i*j = 447. What is the hundreds digit of c?
2
What is the thousands digit of (-104 - -97) + (4*1792 - -2)?
7
Let h(m) = 464*m + 92. What is the hundreds digit of h(8)?
8
Let v(z) = 91 + 12*z**2 - 98 - 34*z + 28*z. What is the tens digit of v(-5)?
2
Let w = 3 + 130. Let g = -144 + 146. Suppose -w = -4*d + g*c + 223, 4*c = 5*d - 442. What is the tens digit of d?
9
Suppose 7*p + 6 = 20. What is the hundreds digit of (p/(8/818))/(4/8)?
4
Let c = 3760 + 1102. What is the units digit of c?
2
Let b(l) = l**2. Let g be (-2)/5 - (-18)/45. Suppose -h = -5*u + 11, g = 3*u - 5*h + 5 + 6. What is the units digit of b(u)?
9
Let y = -9834 + 18037. What is the tens digit of y?
0
Let n = 1978 + -1969. Let l be ((-3)/(-2))/((-3)/(-4)). Suppose l*f + 399 = n*f. What is the tens digit of f?
5
Suppose 6 - 30 = -4*m. Let b(v) = v**3 - 8*v**2 + 5*v + 5. Let x be b(m). Let p = x + 85. What is the tens digit of p?
4
Suppose -1 = -20*i - 101. Let v = 14 + -15. What is the tens digit of i/(-2)*-38*v + 0?
9
Let t = 8647 - 3463. What is the units digit of t?
4
Suppose 0 = 3*j - 0*j - 4*g - 68, 0 = -3*j + 5*g + 67. Let d = j + -45. Let u = d + 32. What is the units digit of u?
1
Suppose 10*m - 8*m = 20. What is the tens digit of (-1724)/m*(-50)/20?
3
Suppose -1272389 - 164200 = -189*r. What is the thousands digit of r?
7
Let y(l) = l**2 + 2*l + 2. Let a be y(0). Suppose -a*u - 1184 = -6*u. Suppose 6*k = 10*k - u. What is the tens digit of k?
7
Suppose -7*p = -1687 - 6839. Suppose 2*x = 9*x - p. What is the hundreds digit of x?
1
Suppose -4*y - 7*a + 33864 = -10*a, -2*y - 5*a + 16958 = 0. What is the units digit of y?
9
Suppose -22797 = 20*x - 23*x. What is the hundreds digit of x?
5
Let u = -45 - -57. Suppose 2*a + 90 = 4*i, 0*i - 3*i + u = 0. Let w = 62 + a. What is the units digit of w?
5
Suppose -2*f = 2*f - y - 57, 5*f - 81 = -2*y. Let w(i) = -i**3 + 15*i**2 + 8*i + 24. What is the hundreds digit of w(f)?
1
Let l(c) be the third derivative of -c**6/120 + c**5/15 - 5*c**4/8 - 16*c**3/3 + c**2 + 3*c. What is the units digit of l(-6)?
8
Suppose 4*q - 755 = 21. Suppose 0 = n - 3*n + q. Let i = -3 + n. What is the tens digit of i?
9
Suppose -3*w + 46104 = 5*d, -21*w + 17*w = 3*d - 27669. What is the tens digit of d?
1
Let q = -28 + 30. Suppose -q*f + 8 = 0, -f + 184 = 4*u - 2*f. What is the units digit of u?
7
Let w = -9573 - -16593. What is the tens digit of w?
2
Suppose 2*i - 5*j = 6787, -5*j + 16985 = -0*i + 5*i. What is the units digit of i?
6
Let k(x) be the second derivative of -13*x**5/120 - x**4/12 + 3*x**3 - x. Let a(s) be the second derivative of k(s). What is the tens digit of a(-7)?
8
Let l = 14 + -13. Let z be (-4*(8/l)/(-1))/2. Let n = z - 5. What is the units digit of n?
1
Suppose 5*p + 0*c = 4*c + 4, 3*c = 12. Suppose p*f = 6*f - 202. Let u = -54 + f. What is the units digit of u?
7
Let y be (-6)/9*(-6)/4. Let l be y*-2 - (-4475)/(-25). Let f = -97 - l. What is the units digit of f?
4
Let j = -23 - -31. Suppose -a - j - 10 = -5*z, -4*z = 5*a + 3. Suppose -3*d = -5*n + 481, -n + z*d + 0*d + 101 = 0. What is the units digit of n?
5
What is the tens digit of (1/((-6)/(-6))*2)/((-3)/(-3390))?
6
Let z(d) = d**3 - 81*d**2 + 36*d - 229. What is the units digit of z(81)?
7
Suppose 0 = 4*v + y + 20, 2*v + 24 = -2*y - 2*y. What is the units digit of 2322/v*(6 + 140/(-21))?
7
Let x = -5815 - -11092. What is the thousands digit of x?
5
Let k(v) = -10 + 11*v**2 - 8*v - 2*v**2 - 50*v - 2*v**2. What is the hundreds digit of k(10)?
1
Let u = -196 - -174. What is the hundreds digit of u - -439 - ((-2)/1 - 0)?
4
Let o = 169 - 178. Suppose -4*f - 5*x - 111 = 0, -3*x - 85 = 3*f - x. Let v = o - f. What is the units digit of v?
0
Let p be (2244/(-20))/((-5)/25). Let m = p + -281. What is the units digit of m?
0
Suppose -3*i - 245 = -5*w, -2*i - 31 - 63 = -2*w. Let d = -47 + w. Suppose 2*z - d*c - 117 = 0, 4*z - 2*z - 135 = -c. What is the units digit of z?
6
Suppose -s + 4*i + 28 - 6 = 0, 4*i = 4*s - 88. Let g = -18 + s. Suppose -3*j - g*t = -272, 4*t = -5*j - 69 + 517. What is the tens digit of j?
8
Let o(x) = -x + 10. Let i be o(8). Suppose -2*h = -4*n + 3 + 1, -3*h + 6 = -2*n. Suppose a + i*k = -h*a + 153, -a = 5*k - 26. What is the tens digit of a?
3
Suppose 2*v + 3*p = 7*v + 3921, -2*p + 1570 = -2*v. Let h = -402 - v. What is the units digit of h?
1
Let t = 26 + -14. Suppose 0 = -10*f + 6*f - t. What is the tens digit of -1 - ((-85)/(-3))/(1/f)?
8
Let p = -1598 + 2306. Let c = 1040 - p. What is the tens digit of c?
3
Let t = 200 - 82. Let x = -1079 - -1294. Let u = x - t. What is the tens digit of u?
9
Let p = 9501 - 2593. What is the thousands digit of p?
6
Let g(a) = -30*a - 69. Let z be 1 - (12 - 0*1/(-3)). What is the hundreds digit of g(z)?
2
Let v(p) = -p**2 + 5*p + 19. Let t be v(9). Let b = t - 138. What is the units digit of (12/(-15) - (-2)/10)*b?
3
Suppose -15*f - 11*f + 21*f = -49200. What is the tens digit of f?
4
Let v(b) = -5*b**2 - 29*b. Let g be v(-7). Let x(f) = 9*f + 1. Let y be x(-5). Let r = g - y. What is the units digit of r?
2
Let o(f) = -f**3 - 5*f**2 + 11*f + 19. Let h be o(-8). Let n = h - -38. What is the units digit of n?
1
Suppose -4*m = -5*h + 28315, 98*h - 100*h = -3*m - 11319. What is the tens digit of h?
6
What is the hundreds digit of ((-9)/(-12))/(-5 - (-969661)/193928)?
9
Suppose -8*u + 12 = -260. Suppose 42*p = u*p + 2728. What is the units digit of p?
1
Let o(k) = 6*k**2 - k - 10. Let n = 2 + -5. Let h be o(n). Suppose 0 = -5*b + h + 328. What is the tens digit of b?
7
Suppose 5*i - 3*s + 1 + 2 = 0, 0 = 3*i - 3*s + 3. Suppose 142 = 3*v + 2*n, 5*v + 0*v + n - 232 = i. What is the units digit of v?
6
Let z be -52 - (-3)/(-3)*-1. Let r = 74 + z. Suppose -5 = -l, 0 = -3*q - 5*l - r + 126. What is the tens digit of q?
2
Let j = 152 - 148. Suppose -5*m + 87 = -j*m. What is the units digit of m?
7
Let c be (-41)/(-5) + 8/(-40). Let g(y) = 6*y**2 - 2*y - 9. What is the hundreds digit of g(c)?
3
Let i = 6215 - 2898. What is the units digit of i?
7
Let l = -934 + 661. Let t = 498 + l. What is the units digit of t?
5
Let x(g) = -311*g - 255. What is the thousands digit of x(-20)?
5
Suppose -u = 5*z - 29766 + 326, -5*u + 29420 = 5*z. What is the hundreds digit of z?
8
Suppose 0 = -5*y + 5*j + 175, -2*j - j = 6. Let p = -34 + y. What is the units digit of (-5 + 3)/(-2 - p)?
2
Let z = 12047 - 4480. What is the tens digit of z?
6
Suppose 47 = -x + 5*f + 175, -5*f = 4*x - 412. What is the hundreds digit of x/(6/(-168)*-8)?
3
Let n be (-2 - (2 - 2)) + (-28)/2. Let v(f) = f**3 + 17*f**2 - 16*f - 46. What is the hundreds digit of v(n)?
4
Suppose 0 = -o - 2*c + 5176, 11*o - 12*o = -4*c - 5182. What is the hundreds digit of o?
1
What is the tens digit of 93216/20*145/87?
6
Let i(o) = 92*o - 94. What is the units digit of i(2)?
0
Let q = 155 + -156. What is the hundreds digit of q/(-6) + (-30073)/(-102)?
2
Suppose 40*z - 36221 = 7*z + 76540. What is the hundreds digit of z?
4
Let n = 3640 - 691. What is the tens digit of n?
4
Let a(r) = r**2 + 7*r - 5. Let l be a(-13). Suppose 4*x - 2*x = 3*d + 39, 0 = 4*x - d - l. What is the units digit of x/15*30/4?
9
Let f = 26 - 6. Let l = -20 + f. What is the units digit of (l - 1/(-2))*94?
7
Let d = -2 - -153. Suppose -2*m - 5*z + 715 + d = 0, -5*z = -m + 448. What is the units digit of m?
8
Let q(m) = -820*m + 533. What is the hundreds digit of q(-6)?
4
Suppose -l = -5*s + s + 4200, 0 = 5*s - 5*l - 5265. What is the units digit of s?
9
Suppose 0 = -2*s - 60 + 38. Let i(y) = y**2 + 9*y + 25. What is the tens digit of i(s)?
4
Let k be 26*((-28)/(-8) + -4). Let d(l) = -12*l - 4 - 17*l + 21*l. What is the tens digit of d(k)?
0
Suppose 375*g - 372*g - 6710 = 2*f, 0 = 5*g + 3*f - 11177. What is the thousands digit of g?
2
Suppose 18 + 1032 = 7*k. Suppose -2*o - k = -4*o. Suppose 5*z - 109 = -2*g, -o = -7*z + 4*z + 2*g. What is the tens digit of z?
2
Let c = 586 - 211. Suppose 0*t - c = -t. What is the units digit of t?
5
Let j be -12 + (-59)/(-5) - 2853/(-15). Suppose 3*r + 24 = 339. Let s = j - r. What is the units digit of s?
5
Let o be 3/(-6) - 1356/8. Let v be 20/o - (-2)/17. Suppose 2*i + v*i = 160. What is the units digit of i?
0
Suppose -6 = -2*d, -5*v - 2*d - 2 = -3. What is the units digit of (-1 + 4 - 5) + (-77)/v?
5
Suppose -37*g + 2 = -36*g. Suppose 0*q = 2*q - 10, -1730 = -4*a - g*q. What is the units digit of a?
0
Let x be (-2)/(-5) + ((-1188)/45 - -4). Let c = x + 28. What is the units digit of c?
6
Let x(d) = d + 18. Suppose 2*a = -4 - 4. Let w(m) = m**3 + 4*m**2 - 2*m - 8. Let z be w(a). What is the tens digit of x(z)?
1
Suppose 4*p = -4*n + 10700, -18*p = 2*n - 21*p - 5360. What is the units digit of n?
7
Let q(o) = 781*o + 175. What is the units digit of q(8)?
3
Let r = -205 - -209. Suppose -5*z - 15 = 0, -4*z - 113 = -r*o + 99. What is the units digit of o?
0
Suppose -l = -4*b - 745, -129*l + 3*b = -133*l + 3018. What is the units digit of l?
3
Let l = -224 - -826. Let m = l - 429. What is the hundreds digit of m?
1
Suppose 0 = -4*f - 2*l + 12, -3*f + 10 + 17 = -3*l. Let n = f - 1. Let y = n + 27. What is the tens digit of y?
3
Let b = -7191 + 10528. What is the hundreds digit of b?
3
Suppose -181147 - 56405 = -28*b. What is the tens digit of b?
8
Let m(n) = -9*n + 30. Let o be m(3). Suppose 0*t + o*t - 18 = 0. What is the units digit of t?
6
Suppose 5*k - 49112 = i, -42*i = -41*i - 3. What is the units digit of k?
3
Let l = 23 + -21. Suppose 6*j = l*j + 16. Suppose 0 = k + j*k - 300. What is the tens digit of k?
6
Let k = -11336 - -18367. What is the thousands digit of k?
7
Suppose -4*t + 3*n + 48505 = 11755, -2*t + 4*n + 18370 = 0. What is the units digit of t?
9
Suppose -h - f - 3*f + 548 = 0, 3*f + 1085 = 2*h. Suppose 0 = -4*o - 3*y + h, y = -4 - 0. Suppose 5*l - 161 - o = 0. What is the units digit of l?
0
Let k be 1 - 1*(-4)/4 - -136. Suppose -5*c - 3*p + 129 = -568, c - k = -2*p. What is the units digit of c?
0
Let a be (13/26)/(1/96). What is the hundreds digit of (-8)/a*-6 - (-199 + -1)?
2
Suppose -50 + 42 = -4*s. Suppose 0 = -s*m + 15*v - 10*v + 19, 4*m + 3*v + 1 = 0. What is the units digit of m?
2
Let u(y) = y**3 - 11*y**2 - 7*y - 65. Let n be u(12). What is the tens digit of 304 - ((2 - n) + -4)?
0
Let b = 13330 + -3968. What is the tens digit of b?
6
Suppose 15*r - 1192 = 19*r. Let a = -173 - r. What is the hundreds digit of a?
1
Suppose 2*d - 5091 - 10397 = -30*d. What is the tens digit of d?
8
Let a(p) = -p**3 - 13*p**2 - 10*p + 24. Let x be a(-12). Suppose -4 = -4*z, -4*y - 5*z + 515 + 34 = x. What is the tens digit of y?
3
Let t be (-3)/(-18) + (-65)/(-78). What is the hundreds digit of t - (1/2)/((-12)/5952)?
2
Let q(p) = 24*p**2 - 45*p + 253. What is the hundreds digit of q(13)?
7
Let u(f) = 2*f**2 - 12*f + 22. Let q(w) = 10 - 2 - 5*w + 10 + 4*w. Let h be q(9). What is the units digit of u(h)?
6
Let q(j) = 147*j - 8. Let g be q(4). Suppose 5*d - 1275 = g. What is the tens digit of d?
7
Let g(l) = -6256*l + 38. What is the thousands digit of g(-1)?
6
Suppose d = 4*l - 23009, -l + 706 = -2*d - 5041. What is the thousands digit of l?
5
Suppose 24*s - 78059 = -17658 + 45991. What is the tens digit of s?
3
Let y = -418 - -349. Let t be -29*(-3)/3 - 2. Let w = t - y. What is the units digit of w?
6
Suppose 5*m - 98 = 7*m. Let j = -44 - m. Suppose 4*v + y = 3*y + 12, 3 = v + j*y. What is the units digit of v?
3
Suppose -13*i + 2*a = -18*i + 11834, -3*i + 4*a = -7090. What is the tens digit of i?
6
What is the units digit of (5314 + 2)/(12/16*(7 - 5))?
4
Let s be 0/(-12)*(-2)/(-2 - 2). Suppose -3*a + 6 = -s. Let p(q) = 3*q**2 + q. What is the tens digit of p(a)?
1
Suppose 5*h + 5*b - 22165 = 0, -4*h + 19*b - 16*b = -17697. What is the thousands digit of h?
4
Suppose -3*f = 21*b - 23*b - 17175, -4*f + 22923 = 5*b. What is the hundreds digit of f?
7
Let y be (-195)/117*(1 - 112). Suppose 3*x - 500 = 5*c, 3*x - 2*x + 2*c = y. What is the tens digit of x?
7
Let y be (3 + 91/(-5))/((-1)/5). Suppose 0*x + 4*x - y = 0. Suppose 0 = -14*j + x*j - 55. What is the units digit of j?
1
Let v(f) = f**3 - 7*f**2 - 35*f + 94. What is the thousands digit of v(22)?
6
Let j be 1250/30 - 4/6. Let s = 62 - j. Let l = 45 + s. What is the units digit of l?
6
Let y(q) = -7*q. Let x be y(8). Let z = 95 + x. Suppose z = w - 3*f, 58 + 45 = 2*w - f. What is the units digit of w?
4
Let z = -149 - -222. Let s = 35 + z. What is the tens digit of s?
0
Suppose 0*w - 6 = -4*w + 2*f, 4*w = -2*f + 10. Let q(x) = x**w - 2*x - 4*x - x**3 + 4 - x**3 + 9*x. What is the units digit of q(-3)?
8
Suppose 5*z - 28200 = -13*g + 8*g, -4*g + 22595 = -3*z. What is the thousands digit of g?
5
Let o(c) = 4*c**2 - 45*c + 55. Let l(r) = -3*r**2 + 30*r - 37. Let d(h) = 7*l(h) + 5*o(h). Let s be d(-16). What is the tens digit of (0 - -3) + (15 - s)?
1
Let x(o) = -o + 14. Let y(d) = 3*d - 28. Let j be y(5). What is the units digit of x(j)?
7
Suppose -5*s + 34725 = 4*u + 5804, 3*u + 2*s = 21682. What is the tens digit of u?
2
Suppose 27 = 3*a - 3*f, 4*a + 0*a - 63 = -5*f. Let y = -14 + a. What is the units digit of (-1 - -3)/y*-8?
8
Suppose -25*f = -27*f - 580. Let g = f + 422. Let o = -51 + g. What is the tens digit of o?
8
Suppose 0 = 4*a - 0*n - 5*n - 24868, -a = -3*n - 6217. What is the units digit of a?
7
Suppose 0 = -i - 14*h + 11*h + 3285, 3*i - 9855 = -2*h. What is the thousands digit of i?
3
Let a = -33 - -36. Suppose l = -a*s - 1, 0*s + l = s - 1. Suppose s = -50*d + 52*d - 114. What is the units digit of d?
7
Suppose 0 = 1270*x - 1305*x + 301980. What is the hundreds digit of x?
6
Let y be 2/(-12) + (-325)/(-78). Suppose -4*b + 2*a = -148, 0*a - a = -y*b + 144. What is the units digit of b?
5
Let u(x) = -449*x - 30. Let d be u(-3). Suppose -36*r = -33*r - d. What is the hundreds digit of r?
4
What is the hundreds digit of 4/(432/744237) - (-2)/(-24)?
8
Suppose 0 = z + 21 - 1. Let t = z + 26. Suppose 15*g = 13*g + t. What is the units digit of g?
3
Let i = 133 + -107. Suppose -i*y + 31*y = 1835. What is the units digit of y?
7
Suppose -36 = 9*t - 3*t. Let r be 7/(t/(-33) - 18/(-22)). Suppose 3*p - r*p = -404. What is the units digit of p?
1
What is the tens digit of 24/(-64) + (-6458)/(-16) - (-1)/(-4)?
0
Let h = 431 + 483. What is the hundreds digit of h?
9
Let k = -33 + 36. Let u(a) = 4 + 10*a - 4*a + 5*a + k*a. What is the tens digit of u(1)?
1
Let t(g) = 20*g - 53. Let b be t(16). What is the hundreds digit of 1/(-1 + 268/b)?
2
Let c = 792 + -338. Let f = c + -168. What is the tens digit of f?
8
Let o = -173 + 184. Suppose 15*k = o*k + 1452. What is the units digit of k?
3
Let t be 52/(-4)*-1 - -1. Suppose z - 4*n - 24 = n, 0 = 4*z + 2*n + t. What is the units digit of (68 + z)/((4 - 1)/3)?
7
Let a = -161 + 158. What is the tens digit of (405 - -1 - -1) + (-3 - a)?
0
Suppose 3*a - 40 = -w, -4*w - 34 = -2*a - w. Suppose -a*g + 537 = -11*g. Let o = g - 83. What is the units digit of o?
6
Let z = 1949 + 370. What is the hundreds digit of z?
3
Let h be 1/(-1)*11*1. Let b = h + 13. Suppose -b = -3*x + 10. What is the units digit of x?
4
Let a = 4 + -3. Let x(c) = c**2 - 9*c + 4. Let h(t) = -t**2 + 7*t - 4. Let d(w) = -3*h(w) - 2*x(w). What is the units digit of d(a)?
2
Let m be (0 + 0)/((-4)/4). Suppose 21*c - 26*c + 1390 = m. What is the units digit of c?
8
Suppose -2*w - 2*l + 56 = 0, 0 = 2*w - 0*l - 4*l - 26. Let m = w + 26. Let u = m + -22. What is the tens digit of u?
2
Let o(u) = 3145*u - 515. What is the thousands digit of o(2)?
5
Suppose 44 - 8 = 9*x. Suppose 4*u = -j + 12, -x*u = -4*j - 3*u - 37. What is the tens digit of ((-186)/j + 0)/((-6)/(-16))?
6
Let q(z) be the third derivative of z**6/120 + 3*z**5/10 - z**4/12 - 6*z**3 + z**2. Let a be q(-18). Suppose a = 5*v - 608 + 213. What is the units digit of v?
9
Let o = 53 + -46. Suppose -15 = 2*d - o*d. Suppose 2*c - 360 = -d*c. What is the tens digit of c?
7
Suppose 0 = -2*x + 4*x - 5*i - 12, -3*i = -2*x + 8. Let m(f) = 25*f**2 - 3*f + 3. Let a be m(x). Let n = 19 + a. What is the tens digit of n?
4
Suppose -9*y = -126 + 36. What is the units digit of 4*(-9)/180 - (-2732)/y?
3
What is the tens digit of (-386*(-5 - (-141)/30))/(3/105)?
5
Suppose 0 = 3*v - 3*b - 0*b + 90, -v + 2*b - 30 = 0. What is the hundreds digit of (-6)/(v/(-85))*-7?
1
Let k(n) = -593*n + 396. What is the thousands digit of k(-9)?
5
Let k = 15 - 25. Suppose -2271 = -42*c + 207. Let v = c - k. What is the tens digit of v?
6
Let x(s) = 2*s**3 - 46*s**2 - 34*s - 89. What is the hundreds digit of x(25)?
5
What is the hundreds digit of 9383 + (0 - -5) + -6?
3
Let f be 5/(-30) + (-26)/(-12). What is the units digit of ((-229)/f)/(8/(80/(-5)))?
9
Suppose 2*i - 5*h - 13745 = 0, -19*i + 4*h + 6865 = -18*i. What is the hundreds digit of i?
8
Let r be 1/(((-1)/(-15))/(5/15)). Suppose -19 = r*u + 206. Let z = u + 103. What is the tens digit of z?
5
Let a be -12 - -12 - 295*-1. What is the tens digit of (-5 + 4 - 1) + a?
9
Let k = 6209 + -3898. What is the tens digit of k?
1
Let o(r) = 27*r - 68. Let u(h) = 9*h**2 + 3*h + 1. Let x be u(-1). What is the hundreds digit of o(x)?
1
Suppose 0 = 4*p + 4, -2*p + 35 = 4*o - p. Let y(i) = o - 3*i - 12*i - 7*i + 4*i. What is the units digit of y(-3)?
3
Suppose -6071 - 19569 = -3*x + l, 5*x = 2*l + 42733. Suppose 22*u - x = u. What is the hundreds digit of u?
4
What is the units digit of ((-12)/(-14))/((-24)/(-147952))?
4
What is the units digit of ((-16430)/(-220) + (-4)/22)*8 - 3?
3
Let h be 136/36 + 3 + 6/27. Suppose 5*j - 21 = -4*w + 6*j, 2*w = -3*j + h. Suppose 0*u + 4*u + 230 = 3*y, u + w = 0. What is the tens digit of y?
7
Suppose -3*m + 48 = 1920. What is the units digit of 3 - (-3 - -4) - m/2?
4
Let b(w) = -w**2 - 6*w - 6. Suppose 10*u = 2*u + 40. Let h be b(u). Let k = 103 + h. What is the tens digit of k?
4
Let m = 6 + -4. Let s(f) = -8*f**3 + 3*f**2 - 2*f + 6. Let d be s(-3). Suppose -k - m*k = -d. What is the tens digit of k?
8
Let s(b) = b**3 + 4*b**2 + b - 2. Let q be s(-3). Let j(y) = 8 + 14 - y - 9 - y. What is the units digit of j(q)?
5
Let k(j) = j**2 + 18*j + 38. Let s be k(-16). Suppose s*w - 748 = 1394. What is the tens digit of w?
5
Suppose 5*a = -n - 12, -5*a - 3 = n + 3*n. Suppose -5*c + 1940 = 5*q, -1176 = -n*q + 5*c - 4*c. What is the hundreds digit of q?
3
Suppose 0 = -22*m + 3*m - 17*m + 78660. What is the hundreds digit of m?
1
Let a be 0/(-2 - 1 - -5). Suppose 4*r = -k + 41 + 172, k - 4*r - 173 = a. What is the hundreds digit of k?
1
Suppose 0 = 2*d + 3*i + 54, -2*d = -2*i - 3*i + 86. Let x = -33 - d. Let z = x - -6. What is the units digit of z?
6
Suppose -5*l = -3*o - 0*l + 233, -5*o - 4*l + 339 = 0. Let t = o + 83. What is the hundreds digit of t?
1
Suppose -9*o - 69840 = -13*o - 6*o. What is the hundreds digit of o?
9
Let v = -18 + 18. Suppose -4*h + 4 = -2*h. Suppose v = h*o - 96 + 14. What is the units digit of o?
1
Suppose -31*c = -25422 - 99610 - 54520. What is the tens digit of c?
9
Let f be 858/(-3) - (3 + 3/(-1)). Let y = f + 491. What is the units digit of y?
5
Let l(b) = 173*b - 36. Let n(u) = -87*u + 18. Let t(k) = 4*l(k) + 7*n(k). What is the tens digit of t(3)?
3
Let l = -241 + 225. Let o(w) = -w**3 - 14*w**2 + 16*w - 16. What is the tens digit of o(l)?
4
Let z(g) = g**3 - 8*g**2 + 5*g + 26. Suppose -p = -3*o + 33, 2*o = p + 14 + 8. What is the hundreds digit of z(o)?
4
Suppose -31692 = -5*m - 2*b, -5*m + 0*m + 3*b + 31712 = 0. What is the units digit of m?
0
Let p(u) = u**2 - 9*u + 20. Let z be p(10). What is the hundreds digit of -3 + 305*-9*(-4)/z?
3
Let x(r) = 2*r**2 + 5*r + 7. Let w be x(-2). Suppose w*i = 2753 - 448. What is the hundreds digit of i?
4
Suppose -21270 = -5*p + 4*c, -12762 = -651*p + 648*p - c. What is the units digit of p?
4
Let c(z) = z**3 + 16*z**2 - 659*z + 5. What is the units digit of c(-34)?
3
Suppose -2*t - 8*m = -12*m - 5794, 5*m = t - 2900. What is the thousands digit of t?
2
Let m(h) be the second derivative of 3*h**3/2 + h. Let b = 586 - 585. What is the units digit of m(b)?
9
Suppose 2*c - 364 = -796. What is the units digit of -1 + 2 + (2 - c)?
9
What is the tens digit of (-1152)/(-512)*(23757/9 - 1)?
3
What is the thousands digit of -39 - -51 - -69*25?
1
Suppose t - 2*a = 6516, 42*t + a - 13052 = 40*t. What is the hundreds digit of t?
5
Suppose -5*k + w + 0 = -22, 4*w = k + 7. Let t = k + -3. Suppose -t*u + 32 = -26. What is the units digit of u?
9
Suppose -3*u + 19 + 11 = -2*b, 2*u - 25 = 3*b. Let o = u - 3. Suppose -2*v - o*g + 189 = 0, -459 = -5*v + g - 0*g. What is the units digit of v?
2
What is the tens digit of 30/15 + 884 - -2*2?
9
What is the units digit of 491*((6 - 4) + 8)?
0
What is the hundreds digit of (-12)/(-22) - 396244/(-803)?
4
What is the tens digit of 57855/((-21)/3)*-1?
6
Let b be (2/6)/(-8*4/(-96)). What is the hundreds digit of (-16732)/(-47) + -5 + b?
3
Suppose -5*m + 69*m - 398506 = 81942. What is the thousands digit of m?
7
Let y be 3/(-1) - (3 - (-4)/(-1)). Let c = -23 + y. Let w = 35 + c. What is the units digit of w?
0
Let d be ((-2)/(-7))/(2/28). Suppose -2*k - 20 = -5*j, -d*k = -0*k - 20. Let u(o) = 2*o**3 - 11*o**2 - o + 8. What is the units digit of u(j)?
8
Suppose 117 + 205 = 7*n. Suppose -2*l - c = -320, -5*l - 5*c = -836 + n. What is the hundreds digit of l?
1
Suppose 4*o = -7*n + 9*n + 39670, -4*o + 39655 = n. What is the units digit of o?
5
Let q = -46 + 79. Let b = 156 - q. What is the hundreds digit of b?
1
Let i(f) = -14 - f**2 + 4 + 9843*f + 9837*f - 19694*f. Let c be (6/(-5))/(1/10). What is the units digit of i(c)?
4
Let k(c) = 29*c**2 - 116*c + 1368. What is the tens digit of k(12)?
5
Let u(a) = -a - 6. Let z be u(-7). Let p(n) = 6 + 1 - 2 - 33*n - z. What is the units digit of p(-1)?
7
Let w(x) be the first derivative of x**3/3 - 11*x + 14. Let s be w(10). Suppose 0 = -2*o + 4*p + 58, s = 3*o - 8*p + 3*p. What is the units digit of o?
3
Let b be ((-66)/18)/(5/450). Let k = b + 659. What is the tens digit of k?
2
Suppose -8*x + 1036032 = 72*x + 34*x. What is the thousands digit of x?
9
Let d(p) = 7*p**3 - 6*p - 4. Let u(f) be the first derivative of 11*f**4/4 - 9*f**2/2 - 6*f - 8. Let c(k) = -8*d(k) + 5*u(k). What is the units digit of c(-2)?
4
What is the tens digit of (-52 + 54)/((30/(-3519))/(-5))?
7
Let c be (145/4)/((-7)/(-28)). Let t = 463 - c. What is the hundreds digit of t?
3
Suppose 39*m = -5*m + 424820. What is the units digit of m?
5
Let b(f) = 2*f**2 - 12*f + 12. Let r be b(5). Suppose 0*o = 3*o - 5*p - 626, 412 = 2*o + r*p. What is the hundreds digit of o?
2
What is the units digit of (-13)/((-13)/6) + (730 - 20)?
6
Suppose -7*q = 4*q - 38665. Suppose 24*u = 3541 + q. What is the tens digit of u?
9
Let k be (-9)/(54/(-420)) + 2. Suppose -183*l + 185*l - k = 0. What is the tens digit of l?
3
Suppose 57*p - 9928 - 3638 = 0. What is the tens digit of p?
3
Suppose 0 = -3*a - 9*a + 12756. Let c = a + -671. What is the hundreds digit of c?
3
Let q be ((-2860)/16)/(-11)*28. Let o = -260 + q. What is the tens digit of o?
9
Let v be 4 - (-8 + 6 + 4*-1). Suppose -v*l + 2345 = -435. What is the hundreds digit of l?
2
Let a = -166 + 178. Suppose -16*x + 1588 = -a*x. What is the hundreds digit of x?
3
Let q(m) be the first derivative of m**3/3 + 6*m**2 + 72*m - 3. What is the tens digit of q(-21)?
6
Let y be 18/(-12)*(-222 - 2). Suppose 5*a = 4*a + y. What is the tens digit of a?
3
Suppose 5*z - 4*z - 3*u - 34 = 0, -z = u - 22. What is the units digit of 1 + 3 + z - 4/(-4)?
0
Suppose -3*l = -2*c + 3*c - 9, -3*l + 3 = -c. Suppose 2*q - 390 = 5*d, -2*d - d - 567 = -c*q. What is the tens digit of q?
8
Let m = -4377 + 9035. What is the thousands digit of m?
4
Let n(k) = -16*k + 48. Let t be n(3). Suppose h - 22 = -2*q, 0 = 2*h - 4 - t. What is the units digit of q?
0
What is the hundreds digit of (-76506)/(-12) + 0 + -4 + 9/2?
3
Let c(w) = -9*w + 26. Suppose 4*i + 2*i = 66. Let u be c(i). Let d = u - -102. What is the units digit of d?
9
Suppose -5*z = -5*o + 48 - 383, -2*z - 3*o + 124 = 0. Let w = z - -24. What is the units digit of w?
9
Let i(h) = -h**3 - 26*h**2 - h + 42. Let p be i(-26). Suppose 60*m + 1064 = p*m. What is the units digit of m?
3
Let j be (4 + -4)*(3 - 4). Let v(o) = o**2 - 3*o + 405. What is the units digit of v(j)?
5
Let j be ((-2)/(-6) - 1)*3. Let v(z) = 2*z + 1. Let y(u) = 22*u**2 + u - 3. Let d(h) = -2*v(h) + y(h). What is the tens digit of d(j)?
8
Let c(p) be the first derivative of 28*p**3/3 - p**2/2 - p - 2. Let j = -693 - -694. What is the units digit of c(j)?
6
Let d = -3945 - -13557. What is the thousands digit of d?
9
Let b(z) = 29*z**2 + 20*z + 91. Let u(l) = 14*l**2 + 10*l + 45. Let i(p) = -2*b(p) + 5*u(p). What is the tens digit of i(-5)?
9
Suppose -4*a - 3025 = 5*w - 3*a, 0 = -4*a. Let j = -288 - w. What is the units digit of j?
7
Suppose -7*n + 9912 = 5*n - 22104. What is the thousands digit of n?
2
Let m be (-3)/((-11)/6 - 22/(-66)). Suppose 143 - 759 = -m*o. What is the tens digit of o?
0
Let y be 2/(-4) + (-372)/(-8). Let x(m) = -m**2 - 3*m + 22. Let u be x(-9). Let f = y + u. What is the units digit of f?
4
Let t(x) = x**3 - 27*x**2 + 5. Let m be t(27). Suppose m*p = -2*l + 34, -2*l + 7*l - 127 = -2*p. What is the tens digit of l?
2
Let b(q) be the second derivative of 25*q**3/6 - 11*q**2 + 14*q. What is the units digit of b(7)?
3
Let i = 970 - -3749. What is the units digit of i?
9
What is the hundreds digit of -8*((-2)/13 - 62444/(-104)*-2)?
6
Let b(k) = -k**3 + 5*k**2 + 6*k + 1. Let g(r) = r**3 - r. Let d(l) = b(l) + 2*g(l). Let u = 49 + -53. What is the units digit of d(u)?
1
Let f(y) = y**2 - 10*y + 12. Let c be f(7). What is the tens digit of 356/(-5)*(13/2 + c)?
7
Let i(h) = -h**2 + 6*h - 6. Let d be i(3). Let z(g) = -25*g - 2. Let n be z(d). Let q = -36 - n. What is the tens digit of q?
4
Let g(c) = -c**3 + 5*c**2 + 15*c - 3. Let i be g(7). Let q = i + 0. Suppose -8*w = -q*w - 256. What is the units digit of w?
4
Suppose -i = -4*q - 6 + 7, 0 = i - 3*q. Suppose -r + i*r = 440. What is the units digit of r?
0
Let s be (-2)/3 - (-3 - (-20)/(-12)). Suppose 4*t = -3*q - 0*q - 173, 5*t = s*q + 179. Let d = 115 + q. What is the units digit of d?
4
Let p = 122 - 122. Let q(j) = -j**3 + 2*j + 418. What is the hundreds digit of q(p)?
4
Let x = 386 + 360. Let g = -353 + x. What is the hundreds digit of g?
3
Suppose -198 + 27 = 3*h. Let g be 7/14*174 - -4. Let q = h + g. What is the tens digit of q?
3
Suppose 3*k - 7*k - 3*w + 10338 = 0, 0 = 4*k + 5*w - 10334. What is the tens digit of k?
8
Suppose 2*l + 3*l = g + 49157, 0 = -l - 5*g + 9821. What is the tens digit of l?
3
Let k(c) = c**3 - c**2 - 2*c - 14. Let w be k(8). Let o = w + 23. What is the hundreds digit of o?
4
Suppose r + 2*v = -0*v + 341, 4*r + 5*v = 1364. Let m = 53 + r. What is the units digit of m/10 - (-10)/(-25)?
9
Let m(n) = -2*n + 2. Let u be m(-1). Let k be 2*(((-294)/u)/(-3) + 2). Suppose -2*p - 4*z = -108, 3*z = -4*p + 183 + k. What is the tens digit of p?
6
Let v be -2*(110/4)/(-11). Suppose v*b + 130 - 463 = -2*z, -z + 2*b = -144. What is the units digit of z?
4
Suppose 2*r - 3*o = o + 26, o + 29 = 5*r. Suppose -r*j - 60 = 85. Let p = j + 84. What is the tens digit of p?
5
What is the hundreds digit of 7788864/791 + (-16)/(-14)?
8
Let h be 15/(-6)*(-6)/(-15)*-1. What is the hundreds digit of h*153*(6 + -3 + -2)?
1
Let z be (1 - 2)*-1 + (26 - -2). Let p = -13 + z. What is the tens digit of p/(-32)*(-1 - 93)?
4
Suppose -35*p + 2*y = -32*p - 21796, 0 = -2*p - 2*y + 14524. What is the hundreds digit of p?
2
Suppose -g - 3*g = -12*g + 77912. What is the tens digit of g?
3
What is the tens digit of ((1 + -2)*196)/((-4199)/(-1411) - 3)?
3
Suppose 1 = n, 2*n + n - 15045 = -2*c. Suppose -25*a = -c - 1204. What is the tens digit of a?
4
Let d(s) = s**3 + 7*s**2 - 11*s + 3. Suppose -6*r = -4*r - 82. Let m = r - 49. What is the units digit of d(m)?
7
Suppose -11*r + 15914 + 2413 = -2111. What is the hundreds digit of r?
8
Suppose -5*o = 5*q - 15450, 28 = -7*o - 0*o. What is the hundreds digit of q?
0
Suppose 9*q + 868 = -8*q + 6954. What is the tens digit of q?
5
Suppose -39 = -5*c - 3569. What is the hundreds digit of c*(-4)/20*(-15)/(-6)?
3
Suppose -195*q = -14*q - 1466643. What is the tens digit of q?
0
Let r(c) = 10*c - 26. Suppose 0 = 2*l - 7*l - 30. Let a be r(l). Let u = -25 - a. What is the tens digit of u?
6
What is the thousands digit of (-11 + 200)*604/(-18)*(-15)/10?
9
Let h be (-1075)/(-86)*(-4)/(-10). Suppose 2*u - 4*u = 5*w - 1725, -u - 1725 = -h*w. What is the units digit of w?
5
Let h(c) = 1. Let r(a) = -48*a - 9. Let q(f) = -4*h(f) + r(f). What is the units digit of q(-6)?
5
Let f(w) = 69*w + 64. Let u be f(7). Let c = -87 + u. What is the tens digit of c?
6
Let r = -2780 + 3587. What is the hundreds digit of r?
8
Suppose 4*r = s - 14, -5*r - 25 = -10*s + 5*s. Suppose -s*p + 0*b = -3*b - 581, -1448 = -5*p + 3*b. What is the hundreds digit of p?
2
Let u = -5747 + 10577. What is the thousands digit of u?
4
Suppose -4*l = 16, -4*l = 5*t - 3721 - 2573. What is the hundreds digit of t?
2
Let z be -4*(-1 - 57/(-4)). Let t be 6/(-10) + z/(-5). Let i(b) = -b**2 + 16*b - 10. What is the tens digit of i(t)?
5
Let w = 7642 - -839. What is the units digit of w?
1
Suppose 5*n + 3*b = 36432, 2*n - 14572 = -459*b + 458*b. What is the units digit of n?
4
Let k = 10509 - 1279. What is the units digit of k?
0
Suppose -a - s + 77 = -1354, 4*s - 2870 = -2*a. What is the units digit of a?
7
Let g = -126 + 118. Let t = -22 + 11. What is the units digit of 3 + t + 4 - g?
4
Let z = 5318 + 241. What is the hundreds digit of z?
5
Let k = -373 + 3348. What is the tens digit of k?
7
Suppose -21*z + 20840 + 81346 = 0. What is the thousands digit of z?
4
Let y = 27422 + -18720. What is the hundreds digit of y?
7
Suppose 0 = 5*o + 5*l - 41756 - 1119, -4*o = -2*l - 34294. What is the thousands digit of o?
8
Suppose k - 2*s = 2, -3*s + 0*s = -4*k + 8. What is the tens digit of 4 + 69 + (-6)/k?
7
What is the units digit of 8522 - 10/((-60)/66)?
3
Let g = -1630 - -10533. What is the tens digit of g?
0
Let n be (-2)/7*(-3 - 4). Suppose c - s = 6 + 34, -n*c + 83 = -3*s. What is the units digit of c?
7
Suppose 51*k - 16827 = 48*k + 3*v, -4*v = -k + 5594. What is the thousands digit of k?
5
Suppose 2*w + 2*y = 5*y + 3684, 3*y = -w + 1851. What is the hundreds digit of w?
8
Let l(b) = 423*b + 9. Let m(q) = 6*q**2 + 18*q + 1. Let w be m(-3). What is the tens digit of l(w)?
3
Let p be 12/3 - 1152/(-4). Let w = p + 128. What is the units digit of w?
0
Let s(i) = -i**2 + 5*i + 2. Let p be s(5). Let o be 3 - -3*(-14 + p). What is the tens digit of -1*(o + -4 + 3)?
3
Let f = -1455 - -2310. Suppose -11*c = -6*c - f. What is the units digit of c?
1
Let l be 3454/(-14) - (-14)/(-49). Let a = l - -82. Let m = a - -249. What is the units digit of m?
4
Suppose 3*l + 881 = 5*q, 6 = 25*l - 23*l. What is the hundreds digit of q?
1
Suppose 4*t + 2*i = -280 - 270, 3*t + i = -412. Let s = t - -285. What is the tens digit of s?
4
Let a = 1096 - -5040. What is the units digit of a?
6
Suppose 16*w + 8*w = 22*w + 4842. What is the thousands digit of w?
2
Suppose 15*o - 1944 = 6*o. Let x(u) = -u + 9. Let f be x(5). Suppose -4*s + 3*c + o = 0, s = -f*c + 33 + 2. What is the units digit of s?
1
Suppose -5*a = 30 - 0. Let g(y) be the first derivative of y**3 + 2*y**2 - 11*y - 123. What is the units digit of g(a)?
3
Let v = 12514 + -6884. What is the tens digit of v?
3
Let y(g) = 2*g**2 + 16*g - 32. Let z be y(-22). Suppose 868 = 3*k - 4*t - t, -2*t = -2*k + z. What is the hundreds digit of k?
2
What is the tens digit of 305/(-2)*(217/(-5) + 3)?
6
Let s = 395 + -129. What is the hundreds digit of s?
2
Let n be (((-15)/(-6))/5)/((-2)/16). Let y be n/(-3)*(18/12)/1. Suppose r + 2*j - 13 = 0, y*j + 0*j = -10. What is the tens digit of r?
2
Suppose 20 = c + 15, 5*q - 43220 = -5*c. What is the tens digit of q?
3
Suppose 7*g + 5*g + g = 65000. What is the units digit of g?
0
Suppose -2*s + 12263 = -4*h + 41383, -2*s + 36418 = 5*h. What is the tens digit of h?
8
Let s = 179 + -172. Suppose 4*g = -s*g + 3894. What is the hundreds digit of g?
3
What is the units digit of -2*(48558/8)/(60/(-40))?
3
Let s be (13 - 6)*2/7. Suppose 2*f = -v + 345, -f = -s*v - 0*f + 670. What is the units digit of v?
7
Let l = 11148 + -3288. What is the tens digit of l?
6
Suppose -5*z + 2*z = -15. Let h be (6/(-5))/((-6)/15). What is the tens digit of (z - h) + 2*7?
1
Let r = 8692 + -5997. What is the hundreds digit of r?
6
Suppose -o - u - 9 = 2*u, -3*o + u = -3. Suppose 7*t - 6*t + 1 = o. What is the units digit of (t - -2) + (85 - -4)?
0
Suppose -11*r = r + 2844. Let v = r - -601. What is the units digit of v?
4
Suppose 2*y - 2493 = 3*a, -566 - 1909 = -2*y - 3*a. Suppose -m = -5*p - 488, -5*p - y + 291 = -2*m. What is the tens digit of m?
6
Suppose 0 = 3*v - 4*y - 17174, -3*v + 26643 - 9457 = -y. What is the units digit of v?
0
Suppose -2*h = -5*d - 691, 5 = -d - 4*d. Suppose -28*k + h = -27*k. What is the tens digit of k?
4
Let n be ((-1)/((-2)/(-346)))/(-11 - -12). Let t = 199 + n. What is the tens digit of t?
2
Let q = 57 - 96. Let a = 188 - q. What is the hundreds digit of a?
2
Suppose f + 4*p = 1 - 6, 5*f + 3*p = 60. Suppose 0 = -5*x + f, 2*k + k - 4*x + 3 = 0. Suppose -k*z = -23 - 265. What is the tens digit of z?
9
Let q = -3 + 6. Suppose -5*y = -q*h + 28, -2*h = -y + 2*h - 9. What is the tens digit of (-4764)/(-60) + (-3)/y?
8
Let p = 35 + -27. Let j(g) = g**3 - 7*g**2 - 5*g - 11. Let o be j(p). Suppose 5*s = 5, 2*n - 59 = -2*s + o. What is the tens digit of n?
3
Suppose c - 3*c - 3*t = -5880, 3*t = -3*c + 8820. What is the thousands digit of c?
2
Suppose -3*c = -2*p + 3 - 13, 0 = -c - 4*p + 8. Let j be (18/4)/3*c/(-3). What is the units digit of 129/(-6)*j + 0 + 3?
6
Suppose -4*y = y + 2*h - 16, 2*y = 4*h + 16. What is the hundreds digit of 434 + y/20*0?
4
Suppose 4*u - u = -p + 1870, 2*u = 5*p + 1241. Let x = u + -205. What is the hundreds digit of x?
4
What is the units digit of (-65260)/(-16) - (-39)/(-52)?
8
Suppose -5*k - 5*k + 38144 - 9934 = 0. What is the units digit of k?
1
What is the tens digit of (-1 + -2377)*(8 - 9)?
7
Let z = 120 - 113. Suppose -19*q + 3696 = -z*q. What is the units digit of q?
8
Let k(o) = -12*o + 4. Let l be 6/5*(3 - 3/6). Suppose l*z = 8 - 20. What is the tens digit of k(z)?
5
Let f(w) = 65*w**2 + 189*w - 11. What is the tens digit of f(7)?
9
Suppose 18*p - 47303 - 53272 = -7*p. What is the tens digit of p?
2
Let q = 3 + -5. Let y be 10*q*(-2)/8. Suppose 128 = y*m - 212. What is the units digit of m?
8
Let f(c) = -50*c - 30. Let g be f(-11). Suppose -5*a + 487 + 43 = 5*i, -3*a + g = 5*i. What is the hundreds digit of i?
1
Let y(q) be the second derivative of -q + 1/2*q**3 - 1/12*q**4 + 0 + 0*q**2. What is the units digit of y(2)?
2
Let a be (-270)/(-4) - ((-12)/8 + 1). Suppose 2*m + a + 104 = 0. Let c = 144 + m. What is the tens digit of c?
5
Let g = 2250 - 2243. Let j be ((-4)/(-5))/(2/(-20)). What is the units digit of ((j - -1)*g)/((-2)/4)?
8
Let c be 6*3/18*3. Let d(m) = 7*m**2 - 2*m. Let y be d(1). Suppose -514 = -5*h + c*o, -y*h - 141 = o - 643. What is the tens digit of h?
0
Let h be 28/3*12/7. What is the hundreds digit of h/((-11)/((-1100)/8))?
2
Suppose -5*y - 75 = -260. Let v = -48 + y. Let q(s) = s**2 + 11*s + 3. What is the units digit of q(v)?
3
Let f = -16959 + 25778. What is the tens digit of f?
1
Suppose k = 2*w + 6195, -14*k + 17*k - 18617 = -2*w. What is the thousands digit of k?
6
Let z = 118 + -123. What is the units digit of (-8)/(-40) - 1674/z?
5
Let b = 610 - 967. Let a = -37 - b. What is the units digit of a?
0
Let d be (-23)/(-4)*12/3. Let g = 1269 - 1163. Let c = g - d. What is the tens digit of c?
8
Let r = -2872 - -3935. What is the units digit of r?
3
Let o = 32 - -12. Suppose o*h - 31*h = 1872. What is the tens digit of h?
4
Let x be (-6 - -7)/((-3)/60). Let n = -17 - x. What is the tens digit of (-94)/(n*(-6)/9)?
4
Let b = 25 + -77. Let r = -47 - b. Suppose -3*v + 297 = -3*g, -2*v = -4*v + r*g + 195. What is the hundreds digit of v?
1
Suppose 2*x = 2*i - 8359 - 4551, 2*i - x - 12908 = 0. What is the hundreds digit of i?
4
Suppose -22*z = -28*z + 492. What is the hundreds digit of (6*-3 + -3)*z/(-6)?
2
Suppose d = 7*d - 12. Suppose -d*c + 2*k = -0*k - 260, 3*c - 389 = 4*k. What is the hundreds digit of c?
1
Suppose 4069*k - 104664 = 4055*k. What is the tens digit of k?
7
Let a(s) = s**3 + 18*s**2 + s - 6. What is the units digit of a(13)?
6
Let l = -46 + 48. Let k be (1/l)/(4295/(-1430) + 3). Let n = k - -204. What is the tens digit of n?
6
Suppose -7*w + 4 = -5*w. What is the units digit of (1/2 - 1)/(w/(-196))?
9
Let t(i) = -7*i**2 - 20*i + 3. Let w be t(-11). What is the tens digit of ((-10)/20)/(2/w)?
5
Suppose 0 = 5*f, w - 2*w - 5*f = -0*w - 8446. What is the tens digit of w?
4
Suppose 15*l - 20*l = -4*p - 38657, -2*l = -2*p - 15464. What is the hundreds digit of l?
7
Suppose 70842 + 20672 = 21*q + 6422. What is the hundreds digit of q?
0
Let c(j) = j**2 - 33*j. Let u be c(32). What is the hundreds digit of (u/(-6) - 3)/(1/108)?
2
What is the tens digit of 1/((-13)/(-11737)) - (-5)/(130/4)?
0
What is the thousands digit of 672301/70 - (-6)/(-20)?
9
Let p be (1/(-5)*0)/(-2). Let b = 19 + p. Suppose 134 = 3*i - b. What is the units digit of i?
1
Let x = -21 - -20. Let r be (105/(-10))/(x/18). Let y = r + -130. What is the units digit of y?
9
What is the thousands digit of 2/9 - ((-454336)/144 - 8/(-6))?
3
Suppose -2892 = 105*z - 102*z. Let x = -598 - z. What is the tens digit of x?
6
Suppose p + 2*z - 5393 = 4330, z = -2*p + 19446. What is the tens digit of p?
2
Suppose -147 + 507 = -6*c. Let w = 11 - c. Suppose -w = -3*g + 226. What is the units digit of g?
9
Let b be 3998/(-5) + 8/(-20). Let i = -465 - b. What is the units digit of i?
5
Let s(u) = 252*u + 542. What is the hundreds digit of s(17)?
8
Let p(b) be the second derivative of b**3/2 - 5*b**2 - 18*b. Let i be p(4). Suppose i*m - 58 = 52. What is the units digit of m?
5
What is the tens digit of (25 - 26)/((-1)/2004)?
0
Let g = -40 - -50. Let k = 10 - g. Suppose o + 0*m - 2*m - 38 = k, -2*m = -2*o + 70. What is the tens digit of o?
3
Let b(h) = -h**3 - 8*h**2 + 6*h - 10. Let k be b(-9). Suppose -21*x + 12 = -k*x. Suppose m - u - 2 - 18 = 0, -x*m = -5*u - 52. What is the tens digit of m?
2
Suppose -140303 + 4760 - 64041 = -162*t. What is the units digit of t?
2
Let b be ((36200/(-32))/5)/((-2)/16). Suppose -4*p = -3*n - 0*n - b, -p + 5*n + 444 = 0. What is the units digit of p?
4
Let w be ((-114)/8)/(48/(-448)). Let x = 96 + w. What is the hundreds digit of x?
2
Suppose -4*n + 297 = 3*d + 4191, 3898 = -4*n - 5*d. Let a = -646 - n. What is the units digit of a?
6
Suppose 2*k - 8160 - 21638 = -4*p, -5*k = -2*p + 14869. What is the thousands digit of p?
7
Suppose 2*h - 8 = 0, g + 12*h - 21 = 8*h. Suppose -g*i + 615 - 90 = 0. What is the hundreds digit of i?
1
Suppose -5*m - 4*x = -7*x + 1217, -4*x + 257 = -m. Let t = 11 - m. What is the units digit of t?
2
What is the thousands digit of ((-8)/12)/(139985/139995 + -1)?
9
Let v(m) = 37*m - 1212. What is the units digit of v(62)?
2
What is the tens digit of -8 + -2*((-7916)/8 - -3)?
6
Let x(t) = -t**2 + t + 20. Let a be x(5). Suppose -24*l + 26*l - 324 = a. Suppose 4*v = 3*n - 0*n + l, 0 = -3*n + 6. What is the tens digit of v?
4
Suppose -105*h + 360598 = -62*h. What is the units digit of h?
6
Let s(p) = p**3 - 59*p**2 - 75*p + 940. What is the tens digit of s(61)?
0
Let j be (-24)/(-18)*(-3)/2. Suppose 2*i + 3544 = 5*d - 2*i, i = -2*d + 1428. What is the tens digit of (d/(-32))/(j/8)?
8
Let k(w) = 610*w + 62. Let r be k(5). Suppose -r = 22*l - 30*l. What is the units digit of l?
9
Suppose -8852 - 11470 = -18*c. What is the tens digit of c?
2
Let k(b) = 9*b**2 - 8*b - 34. Let i be k(-4). Suppose -d = -31 - i. What is the tens digit of d?
7
Let x(t) = -t**3 + 22*t**2 - 18*t - 14. Let o be x(21). Let w = o - 47. Suppose 0*u + w*u - 18 = 0. What is the units digit of u?
9
Let s(j) = 11*j - 4*j + 30*j + 6. What is the tens digit of s(9)?
3
What is the units digit of (-57 - -12)/(-5) - -6505?
4
Let s be ((-616)/(-6))/4*(2 + 1). Let z = s - 58. What is the tens digit of z?
1
Let l be ((-6)/(-4) - 1) + (-216)/48. Let f(a) = 43*a - 5. Let s be f(l). Let c = s - -270. What is the tens digit of c?
9
Suppose n = 5*n - 612. What is the hundreds digit of ((-17)/3)/((-3)/n)?
2
Suppose 6 + 39 = 9*i. Suppose i*a + 3*v - 1496 = 2*v, -2*v = 5*a - 1497. What is the units digit of a?
9
Let l(w) = 7*w**2 + w - 13. Let u(c) = -3*c**2 + 7. Let d(k) = -2*l(k) - 5*u(k). Let z be d(4). Let f(r) = 81*r**2 - 2*r - 1. What is the tens digit of f(z)?
8
What is the hundreds digit of ((-481734)/(-330))/((-6)/(-20))?
8
Suppose 57*j - 53*j + 2651 - 27987 = 0. What is the hundreds digit of j?
3
Suppose -3*c + 1021*h = 1016*h - 17213, -5*h + 17263 = 3*c. What is the thousands digit of c?
5
Let j = -980 - -6019. What is the thousands digit of j?
5
What is the hundreds digit of (-18)/(-4)*(-882)/(-3) - -2?
3
Suppose -4*l + 0*l - 8927 + 45611 = 0. What is the hundreds digit of l?
1
Let z(a) = a**3 - 4*a**2 + a + 6. Let f be z(3). Suppose f = 18*o - 875 - 3877. What is the hundreds digit of o?
2
Suppose -3*d + 47*d = 308. Let f(n) = -16 + 1 + 1 - n**3 + 8*n + 8*n**2. What is the units digit of f(d)?
1
Let q(u) = 73*u + 7. Let s be q(2). Let p = -47 + s. What is the units digit of 1*p/2*1?
3
Let q(j) = 6*j**3 + j**2 + 9*j + 4. Let s(b) = 18*b**3 + 3*b**2 + 27*b + 11. Let a(y) = -7*q(y) + 2*s(y). What is the units digit of a(-3)?
4
Suppose -c = 2*c + c. Suppose c*x = x - 4. Suppose -14 = -x*m + 238. What is the tens digit of m?
6
What is the tens digit of 2 + 1941 + (9 - (-35)/(-7))?
4
Suppose -3*u = 2*h - 1598, 2*u = h - 882 + 90. What is the hundreds digit of h?
7
Suppose 34 = 12*c + 10. Suppose -j = c*w - 627, 3*w - 934 = 7*j - 2*j. What is the tens digit of w?
1
Suppose -3*k = -4*v + 23, 20 = -4*k - 0*k. What is the units digit of (1 - v)/((-13)/4381)?
7
Let i(u) = 32*u - 4. Let k be i(-1). Let x be 27/(-45) + k/(-10). What is the tens digit of x/(-2) + (-380)/(-8)?
4
Suppose -8*h + 17 = -7*h + 3*o, 4*h + 2*o - 28 = 0. Let b = 30 + 8. What is the tens digit of (h/(-10))/(1/(b/(-1)))?
1
Let i = -4 + 151. Let w = i - -39. What is the units digit of w?
6
Suppose m + 9 + 9 = 0. Let w be (-1 - 0)*(-3)/m*0. Suppose 0 = -7*g - w*g + 693. What is the tens digit of g?
9
Let n(w) = -89*w + 9. What is the tens digit of n(-1)?
9
Let n(y) be the second derivative of -2*y**5/5 + y**4/6 + y**3/2 - 3*y**2/2 - 2*y. Let z = 89 + -91. What is the units digit of n(z)?
3
Suppose -3*a + 3*o + 477 = 0, -2*o = a - 0*a - 162. Suppose 5*c + a = -995. Let w = 329 + c. What is the units digit of w?
8
Let i = 2558 + 543. What is the tens digit of i?
0
Let b be 608/(-80) - 6/(-10). Let x(j) = j**3 + 7*j**2. Let q be x(b). Suppose q = -5*f + f + 180. What is the units digit of f?
5
Let x be ((-12)/10)/((-84)/140). Suppose -4*a - 562 = -3*g, -x*a = 5*g - 7*a - 930. What is the tens digit of g?
8
Let q = 14024 + -7223. What is the hundreds digit of q?
8
Let b be 2*((-5)/2 + 0). Suppose -8*j - 299 = 325. Let i = b - j. What is the tens digit of i?
7
Let p be 7919/13 + 12/(-78). Suppose 0 = 30*k + p - 6009. What is the units digit of k?
0
Let z(t) = -t**2 + 18*t + 24. Let o be z(19). Suppose 4*n = 3*i - 40, -3*i - 50 = o*n - i. What is the tens digit of (-526)/n + 12/(-20)?
5
Let k(g) = 2*g**3 - 17*g**2 + 16*g - 4. What is the tens digit of k(14)?
7
Suppose 0 = -3*g - 2*a + 28046, 0 = -3*g - 5*a + 17232 + 10817. What is the tens digit of g?
4
Suppose 3*l - 29275 = 5*g, -3*l - 7*g + 29283 = -10*g. What is the tens digit of l?
6
Let h = 3944 - 1748. What is the tens digit of h?
9
Let q(v) = -2*v**3 - 26*v**2 + 20*v + 23. Let l be q(-14). Suppose -511 = -2*d - l. What is the tens digit of d?
8
Suppose -5*y + 872 = a, -6*y + 4*y - a + 350 = 0. Let f = y - 141. What is the tens digit of f?
3
Suppose 2*n = -2*k + 3194, -12*k - 6374 = -4*n - 9*k. What is the tens digit of n?
9
What is the hundreds digit of 8520 - (-10 - 107)/(-13)?
5
Suppose -5*t - 2*j = -2316, -12*t + 2*j = -8*t - 1842. Suppose -3*i - 2*r + t = r, 4*r + 632 = 4*i. What is the units digit of i?
6
Let b be 71*(0/(-2) - -1). Let m be 27 + 2/21 + 2688/(-441). Let f = b - m. What is the tens digit of f?
5
Suppose 0 = -5*a + 40*s - 44*s + 6500, -a + 3*s = -1300. What is the units digit of a?
0
Let a(l) = -3*l**3 - 12*l**2 - 2*l - 40. Let m(d) = -10*d**3 - 35*d**2 - 5*d - 119. Let f(j) = -7*a(j) + 2*m(j). What is the tens digit of f(-13)?
5
Suppose -3*v + 10 = 22, -5*n - 3*v + 3273 = 0. What is the units digit of n?
7
Let i = 17 - 17. Suppose i*b = b. Suppose 32 = 2*u - 4*j - 0*j, b = -4*u - 4*j + 52. What is the units digit of u?
4
Let c(f) = -41*f - 80. Let x be 1/(-3*4/156). What is the units digit of c(x)?
3
Let m(s) = 9*s**2 - 223*s - 59. What is the tens digit of m(26)?
2
Let k be (9 + 2)*34 + -4. Let g be k/8 + (-12)/48. Let o = g + -31. What is the tens digit of o?
1
Let f = -466 + 692. Let x = f - 9. What is the hundreds digit of x?
2
Suppose -4*t = -h + 4194, 45*h - 43*h = -2*t + 8358. What is the hundreds digit of h?
1
Suppose 5*i + 4*h - 20 = 8*h, 2*i - 4*h - 20 = 0. Suppose -3*m = -3*l - 0*l + 27, 3*l + m - 7 = i. Suppose l*n = -4*n + 280. What is the tens digit of n?
3
Let o be 52/10 - (-11)/(-55). Suppose -2*x + o*y = -648 + 53, -5*x - 4*y + 1405 = 0. What is the tens digit of x?
8
Suppose 4*i + 23 = 67. Suppose d - 3 = -i. What is the tens digit of ((-66)/d)/((-3)/(-36))?
9
Let u(n) = -862*n**2 + n + 2. Let p(f) = 431*f**2 - f - 1. Let a(r) = 5*p(r) + 2*u(r). What is the hundreds digit of a(-1)?
4
Let s be ((-12)/(-3))/(-4 - -2). Let x be (78 - -6)/(s/14). What is the tens digit of ((-2)/(-4))/((-1179)/x - 2)?
9
Let u(t) = -68 + 6*t + 54 + 30. Let b be u(-3). What is the tens digit of (b/5)/((-578)/(-290) - 2)?
5
Let t(z) = -3*z + 58. Let r(h) = h - 19. Let m(g) = -8*r(g) - 3*t(g). Let l be m(8). What is the tens digit of 4/(-6)*21/l - -93?
9
Let r(f) = f**3 + 2*f**2 - 3*f + 1. Let m(h) = h**2 + h - 1. Let o(p) = -3*m(p) - r(p). Let k = 4 + -10. What is the units digit of o(k)?
8
Suppose 5*j = -45 - 145. Let v = -38 - j. Suppose v = 3*t - 41 - 31. What is the tens digit of t?
2
Let a(r) = 5*r + 50. Let c be a(-9). Suppose -784 = -3*i + u, c*i - 4*u = 112 + 1204. What is the hundreds digit of i?
2
Let o = -45 - -105. Let n be 16/o*3*-5. What is the units digit of (-2)/n - 369/(-6) - -2?
4
Let g(d) = 158*d - 351. What is the tens digit of g(33)?
6
Let v = 239 - 229. Let p(k) = 7*k. Let t be p(2). Suppose 0 = -2*u + t + v. What is the units digit of u?
2
Let b(i) = i**3 + 14*i**2 - 20*i - 33. Let j be b(-15). Suppose -j = -f + 3*t, -5*f + 146 = -2*f - 5*t. What is the tens digit of f?
5
Let h(v) = -3 + 0 - 3*v - 35*v**2 - 15 + 36*v**2. Let k be h(-8). Suppose 0 = 9*t - 10*t + k. What is the units digit of t?
0
What is the hundreds digit of 11*40/25*1695/6?
9
Suppose -2*b - 28 = 4*j, -6*j + j - 56 = 4*b. Let o be (1 + 0)/(2/b). Let i = 33 + o. What is the units digit of i?
6
Let v = -26 - -29. Suppose -v*c = 2*c - 465. Let x = c + -40. What is the tens digit of x?
5
Let l(h) = -2*h - 19. Let i be l(-11). Suppose i*p + 2*p = 0. Suppose 4*g - 12 - 8 = p. What is the units digit of g?
5
Let f = 11760 - 4360. What is the thousands digit of f?
7
Let g(s) be the second derivative of 13*s**3/6 - 10*s**2 - s - 9. What is the units digit of g(5)?
5
Let s(y) be the third derivative of -17*y**4/24 + 17*y**3/2 + y**2 - 20. What is the tens digit of s(-11)?
3
Let w = -2711 - -11534. What is the hundreds digit of w?
8
Suppose 3*l - 1 - 5 = 0. Suppose -3*n + l*r = -0*r - 901, r - 1205 = -4*n. What is the units digit of n?
1
Let d(g) = -g**2 - 5*g + 24. Suppose -1 = -2*j - 9. Let c(z) = z**2 + 4*z - 25. Let v(w) = j*d(w) - 3*c(w). What is the tens digit of v(-11)?
1
Let k = 34 - 30. Suppose k*c + 2 - 14 = 0. Let t = 18 - c. What is the units digit of t?
5
Let o = 173 - 59. Suppose -115*c = -o*c - 343. What is the tens digit of c?
4
Let s be (-104)/39 + (-1)/3. Let m be -2 - -2 - (-3 - 2 - s). Suppose -w - 432 = -5*g, -5*g - w + 424 = m*w. What is the units digit of g?
6
Let y(w) = -31*w**3 - 15*w**2 + 14*w + 27. What is the hundreds digit of y(-5)?
4
Let l = -15680 - -22360. What is the units digit of l?
0
Suppose 244 = 4*o - 2*c - 26, 180 = 3*o + 3*c. Let v = 234 - o. What is the units digit of v?
9
Let f be ((-4)/10)/((1 + -4)/15). Suppose 2*d - 51 = -t, -f*d - d - t = -76. What is the tens digit of d?
2
Let k be (-24)/(-20)*30*13/4. Suppose 166 = 2*n + 2*m, 0*m + 5*m = -n + 91. Suppose -6*j + k = -n. What is the units digit of j?
3
Suppose 4*z = 5*r, -5*r - 2 = -3*z - 7. What is the hundreds digit of -1 + 385 + 3 + z?
3
Let g(n) = -4*n - 6. Let j be g(-3). Suppose 363 + 873 = j*l. What is the tens digit of l?
0
Let v(l) = -32*l + 13. Let c be v(4). Let z = c - -211. Let x = z - 29. What is the tens digit of x?
6
Let g = -1445 + 2816. What is the hundreds digit of g?
3
Let d = -121 + 269. Suppose d = y - 2*v, 3*y - 452 = -0*v + 4*v. What is the tens digit of y?
5
Let d(i) = 7047*i**2 - 36*i + 2. What is the thousands digit of d(1)?
7
Let j be 2/1 + (-6 - -3) - -55. Suppose 0 = 18*p - 9*p - j. What is the units digit of p?
6
Let j(u) = -320*u**2 - 11*u + 4 + 5 + 321*u**2. Let f be j(9). What is the units digit of (f - -1)*(-14 + (6 - 4))?
6
Suppose -q + 41 = 3*k, -211 = -4*q - 2*k - 37. Let w = q + -44. Suppose w = -3*u - 121 + 394. What is the units digit of u?
1
What is the thousands digit of 7/(-630)*-9 - 199518/(-20)?
9
Suppose 5*a + 3*p - 545 = -2*p, 5*a - 4*p = 518. Suppose 14*q = a + 34. What is the tens digit of q?
1
Let o(b) = 2*b - 16. Let z be o(5). Let l(v) = 2*v**2 + 7*v - 13. Let g be l(z). Suppose g*w - 12*w = 295. What is the units digit of w?
9
Let q = 2017 - 1143. Suppose 14*b = -q + 7048. What is the hundreds digit of b?
4
Let w(p) = 3*p**2 - 10*p. Let a be w(6). Let y = -48 + a. Suppose y = -5*z + 73 - 23. What is the tens digit of z?
1
Suppose -120 = 2*x + 3*x. Let h = 26 + x. What is the units digit of h/(-5 + -1) - (-124)/3?
1
Let a be ((-134)/6)/(-1 - 80/(-72)). Let u = a + 258. What is the tens digit of u?
5
Let o(k) = 2*k + 3. Let z be 0 - (-2 + 1 + (-24)/12). Let n be o(z). Let i = 28 - n. What is the units digit of i?
9
Let x(p) = 25*p**2 + p - 2. Let c be x(-2). Suppose -c = -z - 2*i, 3*z = i - 5*i + 286. What is the tens digit of z?
9
Suppose 0 = -5*s + 1633 - 338. Suppose s = -b + 482. What is the hundreds digit of b?
2
Let o = -756 + 3072. What is the hundreds digit of o?
3
Let p(v) = -2*v**3 - 5*v**2 - 7*v - 2. Let n be p(-1). Suppose 0 = -t - n*t + 456. What is the hundreds digit of t?
1
Suppose 0*q + 18 = -4*q - 2*l, -4*q = l + 15. What is the tens digit of 21*(q + (-64)/(-12))?
4
Let k be (24/(-40))/((-2)/20). What is the tens digit of 2 + (-6)/k - -84?
8
Suppose -4*w - 4*c - 256 = 0, -w - 34 - 30 = -4*c. Let f = w - -114. Suppose -f*x = -45*x - 305. What is the units digit of x?
1
Suppose 0 = -4*n + 2*v + 25608, -5*n - 52*v + 54*v = -32012. What is the units digit of n?
4
Suppose 52*z - 38288 = -4*o + 56*z, -4*o = 2*z - 38312. What is the tens digit of o?
7
Suppose 2*j - n + 615 = 176, -2*n + 440 = -2*j. Suppose -4*c + 42 = -7*c. What is the units digit of c/49 + j/(-7)?
1
Suppose -d + 20 = -4*n, 0 = -5*d + 3*n + 2*n + 40. Suppose -371 = -2*h - 3*v, h - d*v - v = 166. What is the tens digit of h?
8
Suppose -8*z = -5*z - 24. Suppose -3*b + 5*s = 4*s - 1, -z = 2*s. Let u = b - -86. What is the units digit of u?
5
Let p(t) = -4*t**2 - 24*t**2 + t**3 + 6*t**2 - 21*t + 32. Suppose 4*h - 5*n = 63 + 34, 0 = -4*n - 4. What is the units digit of p(h)?
8
Let q = -740 - -479. Let p = q - -542. What is the hundreds digit of p?
2
Let i = -17 + 21. Suppose c = -2*c + i*f + 22, 4*f + 18 = c. What is the tens digit of (-96)/30*(-55)/c?
8
Let z(t) = -31*t**3 - 8*t**2 - 6*t. Let g be z(-3). Suppose -3*h - h = 0, g = -3*o - h. What is the units digit of o*(22/6 - 4)?
7
Suppose 0 = 3*i + g - 16407, -5*i + 11503 = 3*g - 15842. What is the units digit of 2/5 - i/(-15)?
5
Let a = 15870 + -11030. What is the units digit of a?
0
Let u(r) = 516*r - 176. What is the hundreds digit of u(6)?
9
Suppose 0*z = -12*z - 312. What is the units digit of (3 - z) + (4 - (-20)/(-4))?
8
Let d(b) = b + 2. Let s be d(0). Suppose 11*w + 5*i = 7*w + 1429, -s*i = 3*w - 1063. What is the hundreds digit of w?
3
Suppose -l + 863 = -s + 8786, 4*l - 39660 = -5*s. What is the units digit of s?
8
Suppose -102*g = 6*g + 2*g - 163680. What is the hundreds digit of g?
4
Let d(f) = -11*f + 68. Let u be d(6). What is the tens digit of 317 + -19 - ((-4)/u - -4)?
9
Let t = 1071 - 704. Suppose -t - 29 = -6*l. What is the units digit of l?
6
Let z = 2892 - 1538. What is the thousands digit of z?
1
Suppose 4*k + 3*x - 6597 = 0, 0 = -k + 29*x - 25*x + 1673. What is the hundreds digit of k?
6
Suppose -17*a + 22*a - 820 = 0. Let f = -132 + a. What is the units digit of f?
2
Let m(k) = k**3 - 14*k**2 - 14*k - 11. Let l be m(15). Suppose 0 = z + l + 45. Let c = z + 112. What is the tens digit of c?
6
Let y = -30 - 74. Let d = 284 + y. What is the tens digit of d?
8
Suppose 13*f - 2447 = 9435. Suppose -i = 5*c - f, 740 = c + 3*c + 3*i. What is the tens digit of c?
8
Let r = -4635 + 4752. Let v = -394 - -560. Let n = v - r. What is the tens digit of n?
4
Suppose -c - 4 = -5*c. Let b be 3*c - -6*(-2)/4. Suppose -2*k - 3*k + 340 = b. What is the tens digit of k?
6
What is the thousands digit of (-999 - 3)/(20/(-30))?
1
Let w be ((-2)/3)/((-2)/6). Let u(n) = 5*n**2 - 13*n**w + n + 9 + n**3 + 9*n. What is the tens digit of u(8)?
8
Let y(s) = 24*s**2 - 22*s - 119. What is the tens digit of y(16)?
7
Let u(h) = 4*h**3 - h**2 - 2*h - 2. Let t(z) = -2*z + 5. Let y be t(3). Let p be u(y). Let q(x) = -x**2 - 15*x + 11. What is the units digit of q(p)?
1
What is the hundreds digit of (-108)/(-12) + (6136 - -5)?
1
Suppose 5*f = -3*k + 5, -f + 0*k + k = 7. Let g be f/(4/(-120)*-3). Let i = g + 119. What is the tens digit of i?
9
Suppose 5*i - 950 = 840. Suppose 0 = -356*k + i*k - 38. What is the tens digit of k?
1
Let b = 910 + 2916. What is the units digit of b?
6
Let l = -2522 - -7106. What is the hundreds digit of l?
5
Suppose i + 2286 = 7*i. Let n = i - 180. What is the units digit of n?
1
Let g = -43 - -45. Let r be -1 - (-10 - ((-6)/g + 3)). What is the tens digit of r/6*(-582)/(-9)?
9
Let x(g) = 15*g**3 - g**2 + 8*g. Let d be x(-3). What is the tens digit of (d/8 - 0)*-4?
1
Let p be (-2 - -3)*1/(4/(-64)). Let i = p - -19. What is the tens digit of (44/8)/(i/6)?
1
Let q(d) = -72*d + 3. Let x be q(-3). Suppose -3*s - 23*j + 19 = -19*j, 3*j + 22 = 5*s. Suppose -3*k + x = 2*h - s*h, 53 = k - 5*h. What is the tens digit of k?
7
Suppose 2*m = -4*j + 246, 5*j = m + 4*m - 540. Suppose -o + 185 = -n, -3*n + 7*n = -5*o + 961. Let c = o - m. What is the tens digit of c?
7
Let k(x) = x**3 - x**2 - x - 20. Let v be k(0). Let w = 391 + -385. What is the units digit of ((-7)/2 - -2)*v/w?
5
Suppose -5*p - 2*j = 0, 0 = 2*p - 5*j - 40 + 11. Suppose 680 = p*m + 2*m. Suppose -2*h - 5*n = -0*h - m, 5*h = -4*n + 459. What is the units digit of h?
5
Suppose -4*y + 49697 = -5*k + 11656, -5*y - 2*k + 47543 = 0. What is the units digit of y?
9
Let l(c) = -c**3 - c**2 + 3*c - 6. Let a be l(-3). Suppose a*w + 660 = 6*w. What is the hundreds digit of w?
2
Suppose 3*d = 20 + 28. Let t = -9 + d. Suppose 335 = t*b - 3*b - 5*v, 0 = 3*b - 5*v - 250. What is the units digit of b?
5
Suppose 0 = -5*j + 13 - 3. What is the units digit of (-10 + 200/(-3))*(-9)/j?
5
Suppose 823*l + 47760 = 829*l. What is the hundreds digit of l?
9
Suppose -16 - 40 = -4*i. Suppose -i*c + 15*c = 3. Suppose 2*w + c*x = 58, -2*x - 2*x = 0. What is the tens digit of w?
2
Let n be ((-61)/(-2))/((-1)/2). Suppose 52*h - 57*h - 105 = 0. What is the units digit of h/(-7)*(-1 - 0) - n?
8
Suppose -245*t + 240*t + 2*q + 25725 = 0, 5*q = -3*t + 15404. What is the thousands digit of t?
5
Let x(v) = -19*v**2 + 11*v. Let w(l) = -19*l**2 + 10*l - 1. Let p(h) = -6*w(h) + 5*x(h). What is the units digit of p(4)?
0
Suppose -8*p + 347 = -2813. Suppose u = -p + 795. What is the hundreds digit of u?
4
Suppose -26*r = -100226 - 3566. What is the thousands digit of r?
3
What is the units digit of (-3)/(5/2 - 171615/68610)?
7
Let h(y) = 7*y**2 - 57*y - 36. What is the units digit of h(-30)?
4
Suppose -3*r - 1509 = -5217. Suppose -424 = -w - 5*k, 0 = -3*w + 6*w - 3*k - r. What is the units digit of w?
4
Let g be (-6)/9*36/8. What is the tens digit of 174 - g/(-15)*0?
7
What is the hundreds digit of 138/207 - (-1963)/3?
6
Let u(x) = -x**3 + 12*x**2 + 4*x + 17. Let a(p) = -13*p + 76. Let w be a(5). What is the units digit of u(w)?
2
Let l(t) = -130*t - 1156. What is the hundreds digit of l(-29)?
6
What is the hundreds digit of (-13 - 424/(-32)) + (-77798)/(-8)?
7
Suppose -9 = -5*r + 11. Let b(g) = 14*g**2 - 7*g + 6. What is the hundreds digit of b(r)?
2
Suppose 47*f + 26*f - 329876 = 348367. What is the units digit of f?
1
Suppose 10*a + 1437 = 14127. What is the hundreds digit of (-2)/(-1 + 1263/a)?
4
Let b = -20 - -32. Suppose b*m - 7*m = 10. What is the units digit of 8/m*(-1430)/(-88)?
5
Suppose 88*s = 83*s + 2*g + 19657, -4*s = 2*g - 15722. What is the hundreds digit of s?
9
Suppose 0 = -2*j + 5*k + 2865, 4*j - 6697 = 5*k - 952. What is the units digit of j?
0
Let d(t) = t**3 - 17*t**2 + 17*t + 22. Let b be d(16). Let r = 44 - b. Suppose -549 = -r*l - 3*l. What is the tens digit of l?
6
Let m(r) = 2*r**2 - 27*r - 93. Let x be m(-17). Suppose 2395 + x = 21*g. What is the tens digit of g?
5
Let n = -3611 + 11429. What is the hundreds digit of n?
8
Suppose -2496 - 12256 = 8*q. What is the tens digit of q/(-5) + (-1)/(-5)?
6
Let w = -156 - -159. Suppose -3*j - 654 = -w*s, 5*s - j - 1094 = -0*s. What is the tens digit of s?
1
Let l = -2950 - -10611. What is the tens digit of l?
6
Let j be -8*((-28)/(-20) + (-8)/20). What is the hundreds digit of ((-9100)/75)/(j/6 - -1)?
3
What is the thousands digit of ((-1300)/60)/(1820/(-606) - -3)?
6
Let h(t) = 4*t - 2. Let n be h(2). Suppose 8*v - 402 = 158. What is the tens digit of v - (-3 + -3 + n)?
7
Let c(l) = 15*l**2 + 2*l + 23. Let r = 30 - 37. Let o be c(r). What is the units digit of o/15 - (-2)/5?
0
Suppose 60 = 3*z - 159. Let g = 234 - z. What is the hundreds digit of g?
1
What is the tens digit of (1/((-6)/9))/(10/((-368500)/15))?
8
Let h(j) = -14*j**3 + 4*j**2 - 3*j + 1. Let r be h(1). Let c(y) = -24*y - 90. What is the units digit of c(r)?
8
Let s(i) = 178*i + 529. What is the tens digit of s(35)?
5
Suppose -4*k - 5*z + 45 = 0, -5*k + 1 + 29 = z. Suppose k*c + 1 = 3*a + 5, -2*c = -5*a + 6. What is the tens digit of -15*(c/10)/((-1)/6)?
1
Let k = -102 - -88. What is the tens digit of ((-24)/5)/(k/140)?
4
Let a be (4 + (-15)/5)/((-1)/(-4)). Suppose -7*f + 384 = -a*f. Let d = f + -40. What is the tens digit of d?
8
Let w(j) = 6577*j + 245. What is the units digit of w(1)?
2
Let i(u) = -u**3 - 2*u**2 + u + 303. Let n(r) = 2*r**3 + 5*r**2 - 3*r - 605. Let o(w) = 9*i(w) + 4*n(w). What is the tens digit of o(0)?
0
Let u(z) = 9*z**2 + 13*z - 6. Let v(t) = -13*t**2 - 20*t + 9. Let s be (3 - 28/4)*10/(-8). Let w(p) = s*v(p) + 8*u(p). What is the units digit of w(3)?
2
Let x(j) = 11*j**2 - 2*j - 6. Let c = 95 - 100. What is the units digit of x(c)?
9
Let q = 5 - 15. Let i be 6/(-15) + 76/q. What is the units digit of (-3)/(-12)*6 - 396/i?
1
Let o(r) = -233*r + 785. What is the thousands digit of o(-10)?
3
Suppose -52 = 6*w - 19*w. What is the hundreds digit of (15500/w)/5*8/20?
3
Suppose 5*a - 9555 = -g, -3*g - 4*a + 38268 = g. What is the units digit of g?
0
Let h(a) = 6*a - 4. Let j be h(1). Suppose 4*s = -2*p - 0*p + 2, -j*s + p + 7 = 0. Suppose 0 = s*l + o - 55 + 20, 3*l = 4*o + 80. What is the tens digit of l?
2
Suppose -233*t = -255*t + 4202. What is the units digit of t?
1
Let v be (0 - -20)/(16/400). Let h = v + -246. What is the hundreds digit of h?
2
Let a = 35 + -31. Suppose 0 = 13*y - 11*y - 602. Suppose 3*z - z - 116 = -a*j, y = 5*z - j. What is the tens digit of z?
6
Let w(v) = 24*v**2 - 11*v + 435. What is the hundreds digit of w(15)?
6
What is the units digit of -22505*(6 + (-384)/60)?
2
Suppose 2*m + p - 27 = 4*p, 2*p + 40 = 5*m. Suppose 64 = -2*a - m*a. Let x(u) = u**2 + u - 4. What is the tens digit of x(a)?
5
Suppose 462444 = 99*g + 64068. What is the units digit of g?
4
Let u(b) = -5*b - 58. Let p be u(-13). Suppose 2784 = 5*h + p*h. What is the tens digit of h?
3
Suppose 5800 = 4*y - 27*p + 30*p, 0 = 4*y - 4*p - 5800. What is the units digit of y?
0
Suppose -t - 2392 = 2*t + 2*f, -2*f = -4*t - 3166. Let j = t + 1134. What is the tens digit of j?
4
What is the units digit of (-13)/(-1) - 8 - (-283 - (-6)/(-2))?
1
Suppose -5*a = -25, -4*q - 63 = -4*a - 23. What is the units digit of q/(-3) - (-1108)/3?
1
Suppose -b = -2*b - 13. Let t = b - -23. Let z = t - -13. What is the tens digit of z?
2
Suppose -2*k = 3*g - 9 - 33, -4*g - 2*k + 56 = 0. Let l = 18 - g. Suppose -239 = d - l*d - z, 5*d = 5*z + 405. What is the tens digit of d?
8
Suppose 0 = 4*c + r - 632, -5*r = -4*c + 209 + 447. Let w = c + 235. What is the hundreds digit of w?
3
Let l be (1 - 6) + 0 + 11. What is the units digit of 1/((l/80)/((-231)/(-44)))?
0
Suppose 5*q = -2*p + 42959, 14*q - 25777 = 11*q - 2*p. What is the units digit of q?
1
Let p(w) be the third derivative of w**6/120 - 3*w**5/20 - w**4/24 - 5*w**3/6 + 66*w**2. What is the tens digit of p(10)?
8
Let d(q) = 17*q**3 - 7*q**2 + 18*q - 124. What is the hundreds digit of d(8)?
2
Let f(t) be the third derivative of 83*t**4/24 - 23*t**3/6 + 9*t**2. Let n be f(7). Suppose -5*l - l = -n. What is the units digit of l?
3
Let v = 35 + -28. Suppose 2*j = v*j - 5. Suppose -2*g + 0*t - t + 57 = 0, -g = -5*t - j. What is the units digit of g?
6
Suppose -3*r - 16319 = -4*c, 6*c - 3*c = r + 12243. What is the thousands digit of c?
4
Let a = -97 - -805. Suppose 5*q - q - a = 0. Suppose -3*x + q = 3*d, 160 = 4*x - 2*d - 76. What is the tens digit of x?
5
Let w = 8353 + -2626. What is the units digit of w?
7
Let r = -4648 - -8698. What is the tens digit of r?
5
Let t be 40/14 + (-7)/(-49). Suppose -t*x = j + 47, 0 = 3*x - x - 8. Let v = 39 - j. What is the tens digit of v?
9
Suppose -2*q = 3*q + 5*q - 35070. What is the thousands digit of q?
3
Suppose j - 1916 = -r, -r + 1361 = -j - 551. What is the thousands digit of r?
1
Let v = -2241 - -3182. Suppose -3*j - m + v = 0, -15*j + 5*m + 616 = -13*j. What is the units digit of j?
3
What is the units digit of ((-3)/1*1)/(75/(-132075))?
3
Suppose 25 = 6*t - 5. What is the hundreds digit of (t - (0 - -1)) + 171?
1
Suppose -224*p = -235*p + 98054. What is the tens digit of p?
1
Let v = -31 + 19. Let x be (1/(v/(-136)))/(2/(-6)). Let k = -10 - x. What is the tens digit of k?
2
Let n be (-722)/(-2) - ((-11 - 1) + 8). Suppose -o = 4*t - 238 - n, -3*t = -o - 447. What is the units digit of t?
0
Suppose -22*f = -17*f. Suppose f = 5*j - 17*j + 348. What is the units digit of j?
9
Suppose -6*p + 165 - 3 = 0. Suppose -32*y + 1340 = -p*y. What is the tens digit of y?
6
Let n(z) = z**2 - 14*z + 4. Let m be n(14). Suppose 18 = 7*f - 17. Suppose -f*h + 12 = a - 72, -2*a = m*h - 66. What is the tens digit of h?
1
Let n be (10/15)/(-3*(-4)/(-1314)). Let o be -4 + 6 + 55*2. Let a = o + n. What is the tens digit of a?
3
Let b(y) = y**3 - 10*y + 102. What is the units digit of b(8)?
4
Let s = -2943 - -4882. What is the hundreds digit of s?
9
Let m(b) = -b + 11. Let w be m(7). Let t(i) = -3*i - 5*i**2 + w*i**2 - 5 - 19 - 17*i. What is the units digit of t(-18)?
2
What is the tens digit of 6667*1 + -85 + 75?
5
Let j be (-3 - -36)*1/3. Let s = j + 20. Suppose -s - 9 = -4*g. What is the units digit of g?
0
Suppose -4*v - 3*h + h + 24 = 0, -3*v - 5*h = -25. What is the hundreds digit of 50*6 - (v - 9)?
3
Suppose -4*g + 2*f = -331 - 787, -5*g - 4*f + 1417 = 0. Let n be (-3 + 0)*1 + g. Let m = -195 + n. What is the units digit of m?
3
Let m = 15674 + -9097. What is the units digit of m?
7
Let z(m) = -5*m - 37. Let u be z(-11). Suppose 0 = q - u - 105. Suppose 9*y = 12*y - q. What is the units digit of y?
1
Let g be 1/(-3) - (-40)/12*1. Suppose 115 = g*o - 23. What is the tens digit of o?
4
Suppose -15 = -3*m + 2*m. Let a(d) = -d**2 + 14*d + 28. Let u be a(m). Suppose 295 = -u*g + 18*g. What is the tens digit of g?
5
Let u(b) = 83*b**2 + 28*b - 277. What is the tens digit of u(8)?
5
Suppose 15*q - 45843 = 44539 + 8198. What is the hundreds digit of q?
5
Let d be -1*(-6)/(-6)*307. Let i = -92 - d. What is the units digit of i?
5
Suppose 87*h - 154*h = -126027. What is the hundreds digit of h?
8
Let d(q) = 2*q + 170. Suppose -4*x + 140 = -4*u, 5*x + 0*x + 5*u - 215 = 0. What is the tens digit of d(x)?
4
Let k be ((-14)/(-4) - 2)/((-24)/(-752)). Suppose 42*r - k*r + 455 = 0. What is the tens digit of r?
9
Suppose 248*l = 263*l - 105. Let f = -39 - -231. Suppose l*t = 10*t - f. What is the units digit of t?
4
Let o = -182 - -1752. What is the hundreds digit of o?
5
Suppose -7*z + 4*z + 10 = -u, -3*u = 3*z - 30. Suppose -870 = -z*p + 3*o, 262 - 86 = p - o. What is the tens digit of p?
7
Suppose -30 = -4*b + 38. Let w be (-3 - (-3)/3) + 21. Suppose -w*q = -b*q - 168. What is the tens digit of q?
8
What is the units digit of -4*(1 + ((-48504)/32 - 5))?
9
Suppose -b - 13 = 2*w, 5*w = -3*b + w - 47. What is the tens digit of 1706/7 + (30/b)/(-5)?
4
Suppose -5*d = -2*y - 37729, -3*y - 7538 = 125*d - 126*d. What is the thousands digit of d?
7
Let q be 24/28*35/10. Suppose -m - m + q*a + 587 = 0, 3*m = -5*a + 852. What is the tens digit of m?
8
Let c(s) = 5*s**2 + 8*s + 19. Let z be c(-3). What is the units digit of (-4)/(z/(-35))*-2*-59?
3
Suppose -4*d + 2*u + 2544 = 0, -2*d + 1415 - 151 = -3*u. Let t = d - 288. What is the hundreds digit of t?
3
Let d(j) be the second derivative of 3*j**4/4 + 5*j**3/6 + 3*j**2/2 + j. Let p be d(-3). Suppose p = -8*r + 9*r. What is the tens digit of r?
6
Suppose w - 1 = 7*r - 2*r, -4*w + 27 = 3*r. Suppose 0 = -w*s - 203 + 1181. What is the hundreds digit of s?
1
Let g(w) = -6*w**2 - 6*w - 14. Let h(p) = -5*p**2 - 5*p - 13. Let t(d) = 4*g(d) - 5*h(d). Suppose n = -2*n. What is the units digit of t(n)?
9
Suppose 31*r - 36*r = 75. What is the tens digit of 98/3*r/(-2)?
4
Suppose 3*z - 16 = 2*m, -3*z + 8*m - 12*m + 40 = 0. Suppose -2865 = -z*t + 191. What is the hundreds digit of t?
3
Suppose 3*d + 0*f + 2191 = -2*f, -2*d - 1462 = 2*f. Let q = -507 - d. What is the hundreds digit of q?
2
Let l(y) = 4*y**2 + 62*y + 4. Let f be 3*11/(66/(-36)). What is the units digit of l(f)?
4
Let q(c) = 144*c - 1140. What is the hundreds digit of q(35)?
9
Suppose -5*z = -31*g + 30*g - 31861, -3*z = -3*g - 19119. What is the thousands digit of z?
6
Let g(l) = -26*l - 36. Let v be g(11). What is the units digit of 2/(-6)*(v + 5 + -4)?
7
Let j(g) = g**3 + 18*g**2 + 15*g - 23. Let c be j(-17). Suppose -3*a + c = o - 11, -5*o = 5*a - 90. What is the units digit of o?
6
Let t = -103 - -146. Let j = t - 45. What is the tens digit of -8*j/(-10)*-30?
4
Suppose 5*b = 7*x - 416, -34 = x - 4*b - 77. What is the tens digit of x?
6
Suppose 16*k + 42332 = 119868. What is the units digit of k?
6
Let h be (-4 - 171/6)/((-3)/6). Suppose -4*t + 24 = 2*p - 8, -5*p - 5*t = -h. What is the units digit of -1*p*(38/(-10) - -1)?
8
Let m be (3/6)/((-2)/(-8) - 0). Suppose 4*k = 16, -k - 10 = -3*d - 2*k. Let t = m + d. What is the units digit of t?
4
Suppose 2*s = -5*m + 10733, -s + 5368 = 44*m - 43*m. What is the hundreds digit of s?
3
Suppose 3*c - 15963 = 5*a, 6*a - 7*a + 10655 = 2*c. What is the thousands digit of c?
5
Let i = -2632 - -2885. What is the tens digit of i?
5
Suppose 149*m + 27031 - 836376 = -66729. What is the hundreds digit of m?
9
Suppose -h = -4*v - 2311, -6*v = h - 2*v - 2271. Suppose 5*c - 4*a = h, 5*a = -c + a + 439. What is the hundreds digit of c?
4
Let z = -91 + 91. Suppose z = 4*b - 152 - 84. What is the units digit of b?
9
Suppose -3 = -5*m - 3*o, -2*o = 3*m + o - 3. Let j(z) = z**3 - 3*z**2 + 4*z + 59. Let d(v) = -v. Let b(f) = 5*d(f) + j(f). What is the tens digit of b(m)?
5
Let a = -32 - -46. Let m = a - -19. Let j = m - 9. What is the units digit of j?
4
Let r(c) = 6*c**2 - 38*c - 11. What is the hundreds digit of r(42)?
9
Let p be 3 + (-9 - 0) + -1. Let l be (-4)/(-14) - 131/p. Let y = -18 + l. What is the units digit of y?
1
Suppose 5*c = 4*c + t + 731, 3655 = 5*c + 4*t. Let u = 1039 - c. What is the tens digit of u?
0
Let d(i) = -i**3 - 24*i**2 + 76*i + 21. Let t(j) = j**2 + 19*j - 9. Let z be t(-18). What is the tens digit of d(z)?
5
Let y(w) = 3*w - 3. Let h be y(14). Let g = h + -32. Suppose l + g = 67. What is the units digit of l?
0
Suppose -5*x - 5*m = 11912 - 49112, 0 = -2*x + 2*m + 14896. What is the tens digit of x?
4
Let y(f) = f**3 + f**2 - 6*f + 6. Let z be y(-4). What is the hundreds digit of (z/4)/(30/(-2820))?
4
Let m(c) = -4*c**3 - 7*c**2 + 4*c - 43. Let l be m(-8). Suppose l = 18*y + 391. What is the tens digit of y?
6
Suppose 5*d + 104 = -36. Let b = -23 - d. Suppose 3*u - 5*g + 1 = 12, 0 = 3*u + b*g - 1. What is the units digit of u?
2
Let c(w) = 7*w - 24. Let y be c(-9). Let r = -37 - y. What is the tens digit of r?
5
Let j(y) = y**3 + 21*y**2 + 19*y - 357. What is the units digit of j(-18)?
3
What is the tens digit of (220058/(-152) - (-1)/(2/(-4)))*-4?
9
Let a(s) = 2*s**2 + s - 28. Let x be a(0). Let n be (-12)/x - (-907)/7. Let v = -46 + n. What is the tens digit of v?
8
Suppose -4*h - 41 = -l + h, 0 = -4*l + 2*h + 74. Suppose -9*q + 74 + l = 0. Let t(r) = r**2 - 7*r + 12. What is the tens digit of t(q)?
4
Suppose -115857 - 73119 = -48*w. What is the hundreds digit of w?
9
Let q(n) = -2*n**3 - 10*n - 16. Let c be q(-3). What is the tens digit of 2 - 566/(-8) - 51/c?
7
Let y(j) = j**3 - 9*j**2 + 9. Let z be y(9). Suppose 9*d + z = 12*d. Suppose -3*l - 2 = c + 4*c, 4*l = -d*c + 1. What is the units digit of l?
1
Let t = 32 + -31. Suppose p = 4*b - 11, -p - 4*b - t = 2*p. What is the tens digit of (477/6 - 2) + p/2?
7
Suppose 0*s + 5443 = -s + 14869. What is the hundreds digit of s?
4
Let f be -1 + -2 - 0/(-34). Let r(x) = 11*x**2 + 6. What is the units digit of r(f)?
5
Suppose -4*n = -3*j + 28155, -11*j + 46872 = -6*j + 11*n. What is the thousands digit of j?
9
Let x be ((-171)/6)/(6/(-184)). Suppose 2*p + x = 2*i + 4*p, -884 = -2*i + 3*p. What is the tens digit of i?
3
Let y = -1638 + 4535. What is the units digit of y?
7
Let n = 20327 - 10336. What is the thousands digit of n?
9
Let o = 749 + -441. Let u = 433 - o. What is the hundreds digit of u?
1
Suppose -41*w + 280500 = -15110. What is the tens digit of w?
1
Let r = -3736 + 9252. What is the tens digit of r?
1
Suppose -5*h = 2*w - 16353, 232*w - 4*h = 230*w + 16326. What is the tens digit of w?
6
Suppose -411 = 2*d - 997. Suppose -d*i - 1200 = -296*i. What is the units digit of i?
0
Let z be ((-12)/5)/(-2) + (-10)/50. Let x be 2 - ((-138)/2 + -1*z). Suppose -6*n = -132 - x. What is the tens digit of n?
3
Suppose 38*i - 3872 = 37*i - 3*f, -2*i - f = -7719. What is the units digit of i?
7
Suppose 6*b + 272 - 56 = 0. Let n = 174 + b. What is the tens digit of n?
3
Let j be 21*(-115)/(-15)*4. Let b = j - 450. Suppose -q + 4*y = q - b, 3*y + 189 = 2*q. What is the tens digit of q?
8
Let z be (96/(-44) - -2) + 114/22. Suppose 0 = -2*f + 5 + z. What is the hundreds digit of 504/f + (-6 - 155/(-25))?
1
Let r(s) = 104*s + 3. Let w be r(-2). Let g(m) = -m**2 + 3*m + 18. Let v be g(-10). Let i = v - w. What is the units digit of i?
3
Let p(q) = q**2 - 3*q + 2. Let i be p(3). Suppose -i*s = -8*s + 1032. What is the tens digit of (-2 + 0)*(s/(-8) - -3)?
3
Suppose 0 = -8*t + 10*t - 44. Let g = 160 - t. What is the hundreds digit of g?
1
Suppose 3*g + 13 + 8 = 0. Let y be ((-4)/g)/((-14)/(-49)). Suppose -y*i + 90 = f, -3 = 2*f + 1. What is the units digit of i?
6
Suppose k - 4*n = 51 + 1303, -k = 3*n - 1340. What is the hundreds digit of k?
3
Suppose -20 = 5*w, 3*w = -3*f - w + 503. Let b = 81 + 35. Let s = f - b. What is the units digit of s?
7
Suppose 0*l - 4*l + 146160 = 0. Suppose 2*x - l = -7*x. What is the tens digit of (-4)/18 + 11/(495/x)?
9
Suppose 5*u - 62 = -2. Suppose 2*p + 3 = 5*v - u, 5*v + p = 15. Suppose 3*b - 186 = b - 3*z, 3*b = -v*z + 279. What is the tens digit of b?
9
Let s = 9822 - 5386. What is the tens digit of s?
3
Let f = 1867 - 1102. Suppose -9*j - 5*h + f = -4*j, -4*j + 588 = -4*h. What is the units digit of j?
0
What is the units digit of (118986/(-28))/((-15)/20)?
6
Suppose 85527 + 82489 - 33262 = 74*t. What is the tens digit of t?
2
Let j = 104 - 104. Suppose -8*s + 16 = -j. What is the units digit of s?
2
Suppose 6*h - 2*h + f = 30059, -4*f = h - 7496. What is the tens digit of h?
1
Suppose -1329 = 21*c - 24*c. What is the tens digit of c + ((-16)/56 - 4/(-14))?
4
Let b = 138 - 118. Suppose -b*k + 14*k + 870 = 0. What is the hundreds digit of k?
1
Suppose 0 = 12*f + 1900 - 7072. Suppose 0 = 11*g - f - 1527. What is the units digit of g?
8
Let x = 19429 - 11481. What is the units digit of x?
8
Suppose 1202 + 1570 = 11*q. Let k = q - 118. What is the hundreds digit of k?
1
Let k be 1/7 + 484/(-154) + -13. What is the units digit of 4 + (-106 + 16)*k/6?
4
Let p be (75/6 - 2)*(-16)/(-12). Let q = 4 - p. Let d(v) = v**3 + 9*v**2 - 12*v - 6. What is the tens digit of d(q)?
1
Suppose 3*w = 23*w - 11460. Let y = w + -142. What is the units digit of y?
1
Suppose 3*g = -23*j + 27*j - 7, 3*g = -5*j + 29. Suppose -3*q + 3*h + 1191 = -h, -5*h + 1191 = g*q. What is the hundreds digit of q?
3
What is the units digit of 3/(-2)*(10037/(-3) - (-143)/13)?
2
Let z = 129 + -198. Let m = 117 + z. What is the tens digit of m?
4
Let l(k) = -4*k - 4. Let g be l(-4). Suppose 0 = -j + 12 - g. Suppose -3*c + 3*w + 42 = j, 0 = -3*c - c - w + 31. What is the units digit of c?
9
Suppose 5*r + 4*q + 19 = 3*q, 0 = -4*r - q - 15. What is the hundreds digit of 3/r*(-7704)/54?
1
Let b(i) = 18*i**2 - 38*i - 282. What is the units digit of b(-21)?
4
Let g(f) = -12*f - 2 - 16*f**2 + 14*f**2 + 6*f**2. What is the units digit of g(-6)?
4
Let n = 4452 - 2212. Suppose -73*h + 65*h = -n. What is the hundreds digit of h?
2
Let f(k) = -2*k + 3. Suppose -q - 1 + 0 = 0. Let r be f(q). Suppose r*m - 334 = 136. What is the tens digit of m?
9
Suppose -t = 5*d - 6021, -2*d = d + 4*t - 3599. Suppose 5*o - d = -0*o. What is the tens digit of o?
4
Let p = -168 - -168. Suppose p = -5*a + 5*y + 785, 5*a - 2*y = -y + 785. What is the tens digit of a?
5
Let h(o) = -16 - 2*o + 4*o + 26. Let q(n) = n**2 - 3*n + 2. Let p be q(2). What is the units digit of h(p)?
0
Let b = 2054 - 1510. What is the units digit of b?
4
Suppose -110 = 44*b - 46*b. Let i = b + 70. What is the units digit of i?
5
Let l be 10 - (-25)/(-10)*2. Suppose 2*d = -l*d + 329. What is the units digit of d?
7
Suppose -13160 = -14*d + 7924 - 6762. What is the hundreds digit of d?
0
Let w = -43 + 47. Let o be w*15/20 + 2. Suppose 3*t = -3*k - 0*t + 147, -o*k - t = -261. What is the tens digit of k?
5
Suppose f - 4 - 12 = 0. Let g = f + -16. Suppose -v + 0*j + j + 77 = g, -3*j + 369 = 5*v. What is the units digit of v?
5
Let d = 30 - 15. Suppose -2*x + 0*s - 4*s - 10 = 0, 0 = 3*x - 4*s - d. What is the units digit of 7/9 - x - (-814)/18?
5
What is the hundreds digit of (-2)/3 + (-1300091)/(-291)?
4
What is the hundreds digit of (-6)/(-48) + (-2)/((-64)/287772)?
9
Let d(u) be the first derivative of u**2/2 + 16*u - 13. Let t be d(-12). Suppose s = t*s - 6. What is the units digit of s?
2
Let j(r) = 0*r**2 - 72*r - 2 + 76*r + 4 + 20*r**2. What is the units digit of j(-2)?
4
Suppose 0 = -146*r + 151*r + 1060. Let x = -112 - r. What is the hundreds digit of x?
1
Let c(y) = 1091*y**2 - 15*y - 18. What is the hundreds digit of c(-1)?
0
Let s = 7178 - 3606. What is the hundreds digit of s?
5
Let l be (-4)/6*(-18 + 0). Suppose -2*p - 1 = 5*u + l, 5*p = 3*u + 14. What is the tens digit of p/((-18)/(-1239)) - (-3)/18?
6
Let i be 4 - 1 - 266/(-1). Suppose i = 5*t - 16. Suppose 171 = 4*x - 5*w, 3*x - 219 + t = -3*w. What is the tens digit of x?
4
Suppose 4*l = 6 - 2. Let c(r) = -30*r**2 - r. Let z be c(l). What is the units digit of (-2)/(8/(-12)) - z?
4
Suppose 3*s + 4*w - 12712 = 0, -4*s + 16958 = -34*w + 35*w. What is the thousands digit of s?
4
Let w be ((-892)/(-8) - 5)/(3/8). Suppose -6*a + 262 + w = 0. What is the units digit of a?
1
Let m be 3/((-4)/(-64)*4). Suppose 0 = -3*u + u + m. Suppose 4*h + 66 = u*h. What is the tens digit of h?
3
Let k(n) = -35*n**3 - 2*n**2 - 2*n + 4. Let t be 15/(-6) + (-5)/(-10). What is the units digit of k(t)?
0
Let a(w) = w**2 - 6*w - 5. Let j be a(15). Suppose -450 = -4*b - j. What is the units digit of b?
0
Suppose -106 = -5*h - 4*o, -2*o = -3*h + o + 42. Let r = h + -20. What is the units digit of r/(-7) + (-500)/(-14) + 3?
9
What is the hundreds digit of ((-11286)/36)/(1*2/(-52))?
1
Let z(n) = 2*n**2 + 3*n + 5. Let p be z(-3). Let d(m) = -m**2 + 14*m + 8. Let t be d(p). What is the units digit of t/(-4 - -2) + 36?
2
Suppose w + 0*n - 3*n - 1 = 0, 0 = w + n - 17. Suppose w*q - 757 = 205. What is the tens digit of q?
7
Let r be (-2 - (3 - 0))*6. Let y = r + 35. Suppose 3*q + f - 173 = -3*f, 20 = -y*f. What is the tens digit of q?
6
Suppose -3*o = -2 - 13. Suppose -m = -s + 33, 0 = -4*s + o*m + 106 + 26. Suppose 6*j - 3*j - s = 0. What is the tens digit of j?
1
Let l(o) = 13*o + 53. Let h be l(-8). Let i = 66 + h. What is the units digit of i?
5
Let p(n) = 2 + 6 + 7*n**2 + n + 179*n**3 - 180*n**3. Let b be p(7). Let j(h) = -h**3 + 16*h**2 - 13*h + 21. What is the units digit of j(b)?
1
Let i(d) = d - 38*d + 18*d. Let a be i(2). Let q = -9 - a. What is the tens digit of q?
2
Let k = -7275 + 14775. What is the thousands digit of k?
7
Suppose 5*j - 2*k = 6, -3*j - 2*k - 2*k = -14. Suppose -3*f - 2 - 4 = -3*w, -j*f = -4*w + 10. Suppose -1 - 8 = -w*y. What is the units digit of y?
3
Let n(t) = t**3 + 6*t**2 - 5. Let k be n(-6). Let m(u) = -u**3 - 9*u - 3*u**3 - 2 - 3 + 9 - 3*u**2 + 3*u**3. What is the units digit of m(k)?
9
Let q(g) = -3226*g + 2 + 3225*g - 57*g**2 + 271*g**2. What is the hundreds digit of q(1)?
2
Suppose 0 = 2*d + 5*v + 2, 3*d + 2*v + 10 = -2*v. Let s(b) = 2*b**2 - 2*b - 1. Let j be s(d). Suppose -6*t + 103 = -j. What is the units digit of t?
1
Let n(r) = 239*r + 617. What is the thousands digit of n(27)?
7
Suppose 21*z = 3*k + 20*z - 7, -1 = -3*k + 4*z. What is the tens digit of (k + (-1705)/25)/(6/(-15))?
6
Let w(n) = -n**2 - 35*n - 103. Let p be w(-24). Suppose 59 - 181 = 2*i. Let k = i + p. What is the units digit of k?
0
Suppose -12284 = -6*v + 12280 + 5958. What is the thousands digit of v?
5
Suppose -25*t = -32726 - 16564 - 23085. What is the units digit of t?
5
Let q be (39/12)/((-6)/312). Let c = -167 - q. What is the units digit of c?
2
Suppose w + 36 = -w. Let g(f) = f**2 + 16*f - 13. Let z be g(w). Suppose s - 3 = z. What is the tens digit of s?
2
Let p = 2474 + 1137. What is the units digit of p?
1
Let f(l) be the third derivative of -7*l**4/24 - 5*l**3/6 + 2*l**2. Let i be f(4). Let q = 25 - i. What is the units digit of q?
8
Suppose -5 = -t + 6*t, -t = 4*q - 15. Suppose 3*y - 204 = 4*z, y + q*z + 0*z = 84. What is the tens digit of y?
7
Let d = 60 + -42. Let a be (-39)/(-15 - -16) + 12. What is the units digit of (d/a)/(2/(-138))?
6
Let k = 2240 - 936. Suppose -8*f + k = 160. What is the units digit of f?
3
Suppose -2*n = -3*n + 9*n. Suppose n = -20*z + 30*z - 3930. What is the tens digit of z?
9
Let a(d) be the second derivative of -9*d**3/2 + 11*d**2/2 + d. Let r be a(-3). Let f = 179 - r. What is the units digit of f?
7
Suppose -133*k = -128*k - 25. Suppose -z - 2*c + 75 = -120, 3*z = k*c + 563. What is the units digit of z?
1
Let n be (-4)/6 + (1/(-3) - -2). Let p(h) = h**2 + h. Let f be p(n). Suppose 4*w = -3*o + 80, w - f*w + 20 = 4*o. What is the units digit of w?
0
Let j = -2018 - -5228. Suppose -j = -17*h + 2451. What is the tens digit of h?
3
Let t be 1 + 0 - ((-15)/(-5))/(-1). Suppose -3*q + 636 = t*w + q, 0 = 5*w - 3*q - 771. What is the units digit of w?
6
Let q = -19 + 24. Suppose 0 = 3*t - s - 8, -q*t + 5*s = -2*t - 16. Suppose 4*k - 336 = -4*r, -k + 249 = t*k + 2*r. What is the units digit of k?
1
Suppose 1992*s - 150516 = 1974*s. What is the units digit of s?
2
Let u(d) = 10*d**2 + d - 18. Suppose 20 = 5*m - 0. What is the units digit of u(m)?
6
Let u = 2614 - 1363. What is the thousands digit of u?
1
Let g be (-34)/(0 - 2/7). Suppose 2*o = g + 23. Suppose o = 4*h + 15. What is the tens digit of h?
1
Let a(k) = 5*k**2 + 5*k + 18. Let c = 203 + -209. What is the tens digit of a(c)?
6
Suppose 0 = 405*g - 409*g - 20, 0 = c - 4*g - 6277. What is the tens digit of c?
5
Let l = 258 - 14. Suppose -l = -12*u + 10*u. What is the hundreds digit of u?
1
Let x be (3 - 105/28)/(1/(-4)). What is the units digit of ((-24)/(-15))/((-1)/((-90)/x))?
8
Let t = 188 - 185. What is the hundreds digit of 497/3 - 2/t?
1
Let v(n) = 20*n**3 + 7*n**2 + 9*n + 10. What is the thousands digit of v(7)?
7
Let u be (42/3)/(472/238 - 2). Let x = -313 - u. Suppose 6*w = -58 + x. What is the tens digit of w?
7
Suppose 0 = h - 4*z - 106, -289 - 63 = -4*h - 2*z. Suppose 10*c - 3*m = 5*c + h, 72 = 4*c - 4*m. What is the units digit of c?
8
Let a be ((-11)/(-3) - 0) + 35/105. What is the hundreds digit of -2*a/44 + (-4512)/(-11)?
4
Suppose -509 = -2*y + 467. Suppose -4*h - 176 = -y. Suppose -2*r - h = 3*v - 359, -v + 93 = r. What is the tens digit of v?
9
Let a = 0 - -5. Suppose 3*t = 2*x, 3*t + 23 = -t - a*x. What is the units digit of (t - -7)/(4/28 + 0)?
5
What is the units digit of (11359/(-555) + 12/(-10))*(2 - 161)?
5
Let p be (660/(-18))/(-1*2/12). Let y = p - -184. What is the hundreds digit of y?
4
Let p be -2*-10*(-150)/(-24). Let a = p + -7. What is the units digit of a?
8
Suppose -22*j + 471 = -12903 - 4930. What is the units digit of j?
2
Let n = 47 + 53. Let k = 206 - n. What is the tens digit of k?
0
Suppose 6*r = 19 - 1. Suppose -4*o = -2*d - 14, -3*d + 11 = r*o - o. Suppose o*k - 88 = 20. What is the tens digit of k?
2
Let t(q) be the first derivative of -7*q**4/4 - 7*q**3/3 - 4*q**2 - 5*q + 42. What is the tens digit of t(-4)?
6
Suppose y + 525 = -5*b, -3*y = -3*b + 6*b + 1575. Let m = 832 + y. What is the tens digit of m?
0
Suppose 2*x - 4*x - 10 = -4*l, 0 = -3*x + 2*l - 7. Let v(j) = 12*j**2 + 20*j**2 + 73 + j - 73. What is the tens digit of v(x)?
3
What is the hundreds digit of 395193/63 - 40/(-420)?
2
Let a(r) = -7813*r - 144. What is the thousands digit of a(-1)?
7
Let k(i) = i**2 - 5*i - 5. Let h be k(-2). Let a be (170/(-30) - -7)*6/2. Suppose a*y + 215 = h*y. What is the tens digit of y?
4
Suppose 14*g - 105800 = 10*g - 19*g. What is the hundreds digit of g?
6
Let d(u) be the third derivative of u**5/60 + u**4/8 - u**3/3 - u**2. Let h be d(6). Suppose -h = -6*s + 194. What is the units digit of s?
1
Let f(z) = 6*z**2 + z - 2. Let o be f(1). Suppose -o*b - 164 = -3*b. Let g = 12 - b. What is the units digit of g?
4
Let f = 12 + -21. Let r be (-8 - f) + (-12)/(-2). Suppose 0*g + 252 = r*g. What is the units digit of g?
6
Suppose 3*b + 11 = 4*d + d, -5*d = -4*b - 8. Suppose -x = 5*t - 249, 5*x - b*x - t - 553 = 0. What is the tens digit of x?
7
Let z = 6015 - 2152. What is the tens digit of z?
6
Let i be (7/14)/(4/(-2536)). Let o = i + 487. What is the tens digit of o?
7
Let l(s) = 3*s**2 + 11*s - 4. Let k be l(-3). What is the hundreds digit of ((-1516)/k)/(18/45)?
3
Suppose -2*s = -5*q + 3*q + 1750, -3521 = 4*s + 3*q. What is the tens digit of (s/(-6) + 2)/(6/18)?
4
Suppose l = 6*d - 11*d + 8761, 3*d - l - 5263 = 0. Suppose -w - w = -z + 355, 5*z + w = d. What is the tens digit of z?
5
Let m = 7032 - 4210. What is the hundreds digit of m?
8
Let f(d) = -1844*d - 270. What is the units digit of f(-3)?
2
Let r(t) = -t**3 - 8*t**2 - 9*t - 9. Let z be r(-5). Let n = 80 - z. Let j = n + -80. What is the tens digit of j?
3
Suppose n - 2*j - 8 = 0, 0 = 3*n + 4*j - 10 - 14. Let t = -4 + n. What is the tens digit of (5/((-50)/t))/((-2)/80)?
1
What is the thousands digit of -6 - -2*66/20 - 136776/(-15)?
9
Let m = 162 + -174. Let b(f) = -f**3 - 10*f**2 + 5*f - 4. What is the units digit of b(m)?
4
Let t = 36 + -33. Let z = 5 - t. What is the units digit of -3 + (z - -26) - 0?
5
Suppose 5*k - 36 = k. Suppose -v - k = 28. Let w = 61 + v. What is the tens digit of w?
2
Let w be (0 - 242)/2 + 1. Let b(a) = a**3 + 16*a**2 + 27*a - 25. Let p be b(-15). Let n = w - p. What is the tens digit of n?
8
Let x(a) = -29*a - 1. Let u be x(-6). Let w(p) = -2*p + 32. Let i be w(1). Suppose -u = -7*m + i. What is the units digit of m?
9
Let x(j) = -65*j + 126. Let o be x(6). Let v = -109 - o. What is the hundreds digit of v?
1
Suppose -5*n - 5*j = -3*n - 28, -3*j - 70 = -5*n. Suppose -4*y + 5*b = 90, -4*y = -3*b + 72 + n. Let f = y + 29. What is the units digit of f?
9
Suppose 5*t - 2*y - y = -2141, -435 = t - 4*y. Let f = 864 + t. What is the units digit of f?
7
Let w be (-2)/(-4) - (825/(-10))/3. Suppose 3*i - 89 = w. What is the units digit of i?
9
Let v = 3261 + 630. What is the tens digit of v?
9
Let g be (-1060)/(-100) + (-4)/(-10). Suppose r = -4*k + 645, -16*r = -3*k - g*r + 455. What is the tens digit of k?
6
Let t = 1363 - 1296. What is the tens digit of t?
6
Let u = 121 + -65. Suppose 5*q - u + 196 = 0. What is the units digit of q*(-13)/2*4/8?
1
Let b = 9094 - 233. What is the hundreds digit of b?
8
Suppose 9*f = 16854 + 10992. What is the units digit of f?
4
Let u(g) = g + 7. Let d = -28 + 19. Let a be u(d). Let t(s) = -26*s + 5. What is the tens digit of t(a)?
5
Suppose -86876 = -15*r + 6992 - 4318. What is the units digit of r?
0
Let u(o) = -37*o**3 + 4*o**2 + 56*o + 13. What is the units digit of u(-5)?
8
Let j = -111 - -117. What is the tens digit of 1540/6 - 4/j?
5
Suppose 4*a = 2*c - 676, 123 = -4*c + 4*a + 1479. What is the hundreds digit of c?
3
Suppose -6*v = -3179 - 6253. What is the tens digit of v?
7
Suppose 0 = -3*h + 561 + 2340. Let o = h - 566. What is the hundreds digit of o?
4
Let f be (6/(-5))/(9/(-30)). Suppose 0 = 2*h - 0*h + 2*o - 446, f*h + 5*o - 893 = 0. What is the tens digit of h?
2
Let t = 33 - -622. Suppose -t = -3*a + 617. What is the units digit of a?
4
Let o be 3 - (8/(-16))/((-1)/14). What is the units digit of 545/20 + (-3)/o?
8
Suppose -29*o + 60230 = -148210 + 19360. What is the tens digit of o?
2
Let b be (-1 + 14/18)/((-50)/450). Let v(l) = 30*l + 15. What is the units digit of v(b)?
5
Suppose 3*z - 15 = b - 5, 0 = 5*z - 20. Suppose -b*l + 10 = 3*l. Suppose -m - 3*r + 54 = -l*r, -r = 3*m - 156. What is the units digit of m?
1
Suppose -107 - 13 = -10*g. Let l be (-4)/16 - 861/g. What is the units digit of 2/(-8)*-4 - l?
3
What is the tens digit of (-124)/(-558) - 3/((-54)/174830)?
1
Suppose -u + 950 = -3*t, -150*t - 3778 = -4*u - 149*t. What is the units digit of u?
4
Let r = -5367 - -11042. What is the hundreds digit of r?
6
Suppose -2*p = -4*j + 2*p + 2604, -3*j + 1935 = 3*p. Let o = j - 291. What is the tens digit of o?
5
Suppose 3*i + 15*t = 18*t + 8625, 3*i - 4*t - 8629 = 0. What is the thousands digit of i?
2
Let t(d) = d**3 + 16*d**2 + 4. Let o be t(-16). Suppose -5*u - 91 = -o*n + n, n - u = 31. Let z = 36 - n. What is the units digit of z?
4
Let x(y) = -9*y**2 - y - y**3 - 2*y**2 + 10 - 3*y**2. Let j be 416/264*-9 - 4/(-22). What is the tens digit of x(j)?
2
Let r be 10/(-4)*56/(-5). Suppose 0 = -4*p - a + 1812, r*p - 3*a - 1359 = 25*p. What is the units digit of p?
3
Let g = 1 + 19. Suppose -2711 + 7751 = g*o. What is the units digit of o?
2
Let q(m) = 13*m**2 + 12*m - 42. Let s be q(10). Suppose 174 + s = 4*x. What is the units digit of x?
8
Let s be 812/20 - (-8)/20. Let p = s - 42. Let b = p + 20. What is the units digit of b?
9
Suppose 143 = -3*d + 2795. Suppose 11*g = 15*g - d. What is the units digit of g?
1
Suppose -l = -m - 895, -5*l + 2699 = -m - 1784. Let y = l + -462. Suppose 6*q - y = q. What is the units digit of q?
7
Let l = -5732 + 8477. What is the hundreds digit of l?
7
Let f(l) = 109*l**2 + 6*l - 13. Let k be f(2). What is the hundreds digit of -1*4/((-4)/k)?
4
Let k = 116 + 4535. What is the units digit of k?
1
Suppose -37*z + 35*z = -32. Suppose 5*j + z = -k, -2*k + j - 26 = 5*j. What is the units digit of ((-6)/(-5))/(k/(4675/(-10)))?
1
Suppose -11*q = 4*q - 2595. Suppose 867 = 4*s - q. What is the tens digit of s?
6
Suppose -d + 9035 = -315*x + 318*x, -3*d + 4*x = -27131. What is the units digit of d?
1
Let t be 506/(-9) + (-20)/(-90). Let l = t - -87. Suppose l = 8*g - 233. What is the units digit of g?
3
What is the tens digit of 10/(-25)*50/(-60)*6543?
8
Let c(v) = 32*v**2 - 20. What is the thousands digit of c(-13)?
5
Let g be (-3 - -5) + -4 - (1 + -5). Suppose 86 = g*z + 26. What is the units digit of z/(((-27)/6)/(-1) + -3)?
0
Let w(t) be the second derivative of t**4/4 + 4*t**3/3 - 3*t**2/2 - 331*t. Suppose -f - 24 = 3*f. What is the tens digit of w(f)?
5
Let x be (-75)/(228/40 - 6). Let m = x - 88. What is the tens digit of m?
6
Let l(z) be the third derivative of z**5/12 + z**4/6 - z**3/3 - 8*z**2 - z. What is the tens digit of l(4)?
9
Suppose -4*z - 48792 = -5*q, -37*q + 38*q - 9753 = -z. What is the units digit of q?
6
Suppose s - 2*v - 33 = -629, -v + 1177 = -2*s. Let f = s + 942. What is the hundreds digit of f?
3
Suppose -2*q + 3 = q. Let r be -1*q*(-2 + 1). What is the units digit of 20 + 1/(r/4)?
4
Let p(t) = 4*t**2 - 2*t + 4. Let o be p(-3). Let z = o - -49. What is the tens digit of z?
9
Suppose 5*f = 5*u - 30, 0*u + 5*f + 24 = 2*u. Suppose 0 = -4*j + 5*d - 58, 3*d - 49 + 19 = 2*j. What is the tens digit of (-274)/j + u/12?
2
Let s(v) = v. Let j(h) = 323*h**2 - 16*h + 9. Let u(f) = j(f) + 6*s(f). What is the tens digit of u(1)?
2
Let i = -12183 + 20399. What is the tens digit of i?
1
Let y(h) = -127*h - 607. What is the tens digit of y(-17)?
5
Suppose -b - 342 = -3*j - 3*b, 3*j - 3*b = 342. Suppose 4*s + 5 = -11, -j = -x - 5*s. What is the hundreds digit of x?
1
Let g(r) = -11*r - 105. Let w be g(-10). Suppose w*o = -10*o + 1800. What is the hundreds digit of o?
1
Let b(n) = 3*n**3 - 10*n**2 - n - 17. Let y(z) = -2*z**3 + z**2 - z - 1. Let w(f) = b(f) + 3*y(f). What is the tens digit of w(-6)?
0
Suppose 0 = 3*b - 5*y - 478, 3*b - 139 = y + 343. Let r = b + 17. What is the hundreds digit of r?
1
Suppose 0 = -w - 0*w + 2. Suppose 7 = 4*g + 19, 0 = -h - w*g + 440. Suppose 4*b + 42 = h. What is the units digit of b?
1
Let g(p) = 8*p**3 - 16*p**2 + 55*p + 14. What is the units digit of g(8)?
6
Suppose -w = -4*g - 5474, 3*w + 2*g - 6891 = 9587. What is the units digit of w?
0
Suppose -4*k - 7 = -5*n, -n = 3*k - 3*n. Suppose -4*u - 8 = 0, 5*p - 3*u - k + 1 = 0. Let l(y) = -12*y + 1. What is the tens digit of l(p)?
1
Suppose -36 = -36*l + 18*l. Suppose -w + t + 0*t + 65 = 0, l*w = t + 126. What is the tens digit of w?
6
Suppose 3*p = 12*p + 1323. Let u = -68 - p. What is the units digit of u?
9
Suppose 55*x - 54*x = -6. Let k(z) = 3*z - 3. Let w be k(3). What is the tens digit of x/(-2) + 21*4/w?
1
Let g = 73 + -71. Let a(y) = 107*y - 5. What is the tens digit of a(g)?
0
Let y = 1209 - -2831. Suppose -y = -10*z - 10*z. What is the units digit of z?
2
Let d = -2635 - -12367. What is the units digit of d?
2
Let n(d) = 76*d**2 - 4*d - 62. What is the thousands digit of n(-5)?
1
Let h = 729 + -163. Suppose 3*i - 3*g = 426, h = i + 3*i - 2*g. Let q = 208 - i. What is the tens digit of q?
6
What is the units digit of ((-90)/(-117))/10 - (-102465)/13?
2
Let c be (-8038)/2 - (-4 + 2)/(-2). Let x = c + -3974. What is the tens digit of x/(-91) + (-2)/(-13)?
8
What is the units digit of 1*3/6*(-219870)/(-45)?
3
Suppose -5*r = 2*u - 7210, 7*u + 3618 = 8*u - 4*r. What is the tens digit of u?
1
Let j(h) = -h**3 + 11*h**2 - 7*h - 19. Suppose 22*f = 27*f + 155. Let r = f + 41. What is the units digit of j(r)?
1
Let s = -4414 - -8766. What is the units digit of s?
2
What is the tens digit of (-8)/(-1 + -7)*5899?
9
Let f = -2009 + 4191. What is the thousands digit of f?
2
Let i(b) = -b**2 - 22*b - 52. Let c be i(-18). Suppose -c*o + 392 = -6*o. What is the units digit of o?
8
Let l be ((-6)/(-15) - 789/10)*2. Let b = 178 + l. What is the tens digit of b?
2
Let q be (-2 - -11 - 6)*28/(-6). Let t = q - -14. Suppose -5*j + 4*d + 493 = t, j - 101 = -0*d + 2*d. What is the tens digit of j?
9
Let n be 468/81 - ((-8)/9)/4. Let m(c) = 2*c**3 - 13*c + 7. What is the hundreds digit of m(n)?
3
Let k = 167 + -163. Suppose -j = k*j - 390. What is the tens digit of j?
7
Let d(b) = 233*b - 231. What is the tens digit of d(26)?
2
Let i(s) = 2*s**3 + 6*s**2 - 34*s - 37. What is the tens digit of i(11)?
7
Suppose -3*x + 37*d = 41*d - 28885, 5*d = -5*x + 48140. What is the tens digit of x?
2
Let o = 214 - 85. Let y(a) = a**3 + 14*a**2 + 16*a - 11. Let v be y(-12). Let n = o - v. What is the tens digit of n?
4
Let g be (36/(-30))/((-6)/20) - 1. Suppose -764 = -4*o + 2*t + 262, g*o - 2*t = 768. What is the tens digit of o?
5
Suppose 3*a + 4154 = 4*x, -3*x + 33*a - 30*a = -3117. What is the thousands digit of x?
1
Suppose 2*i - 3*b = 366, 0*i + 3*b = 3*i - 549. Suppose 0 = 4*r - 441 - i. What is the tens digit of r?
5
Let c = 20365 - 13794. What is the hundreds digit of c?
5
Let d = -47 + 39. Let t(g) = -g**3 - 7*g**2 + 8*g + 8. Let k be t(d). What is the tens digit of (-1 + (-71)/(-2))/(k/16)?
6
Let g(p) = 398*p - 336. What is the tens digit of g(14)?
3
Let n = 434 - 273. Let l = n + 5. What is the units digit of l?
6
Suppose 7*q - 2*q + 10 = 0, 2*u = -3*q + 12868. What is the tens digit of u?
3
Suppose 0 = 2*j - 3*g - 7079, 5*g + 3260 = 3*j - 7359. What is the thousands digit of j?
3
Let f(c) = 258*c**2 - 11*c - 12. Let y(s) = 6*s - 31. Let q be y(5). What is the tens digit of f(q)?
5
Let m = 221 - 114. Let b = 75 + m. What is the hundreds digit of b?
1
Suppose -b - 4*c = -7, -3*b + 47 = -0*b - c. Suppose -4*u = -3*u - b. What is the tens digit of u?
1
Suppose -4*x - 12 = -7*x. Let m(o) = o**2 - 4*o - 2. Let y be m(x). What is the tens digit of y/2*(-39)/1?
3
Let u(x) = x**3 + 12*x**2 - 9*x + 47. Let c be u(-13). Let o(m) = -m**2 + 2 - 2*m**3 + 6*m + m + m**3. What is the tens digit of o(c)?
6
Let m(i) = 6*i + 101. Let p be m(-16). Suppose -p*c = 4*x - 1208, 0 = -2*c + 3*c - 2*x - 236. What is the units digit of c?
0
Suppose 5*h = 4*l + 31240, -7*h + 4*l - 25028 = -11*h. What is the tens digit of h?
5
Suppose 0 = 3*k - o + 71, 11*o = -5*k + 9*o - 100. Let q(w) = -7*w - 87. What is the tens digit of q(k)?
6
Suppose -5*l - 19549 = 5*o - 7*o, 0 = 3*o + l - 29315. What is the hundreds digit of o?
7
Let y(r) = 613*r**2 - 30*r - 68. What is the tens digit of y(-3)?
3
Let u be (-2673)/54*(-88)/6. Suppose 3*x + 961 = 4*f, 3*f + 0*f - 4*x = u. What is the units digit of f?
8
Let b(r) = 6*r**3 + 18*r**2 - 11*r + 11. Let t(w) = 17*w**3 + 56*w**2 - 33*w + 33. Let q(i) = 11*b(i) - 4*t(i). What is the hundreds digit of q(-14)?
2
What is the tens digit of 7 - (-5353 - (-4 + 15))?
7
Let w = 11810 + -5926. What is the hundreds digit of w?
8
Let k be 52/(-130) - (-16)/(-10). What is the tens digit of -2*(-1)/(k/(-293))?
9
Let p(r) = r + 1108. What is the units digit of p(21)?
9
What is the units digit of (-280)/(-8 + -6)*2?
0
Suppose 0*o + 3 = -2*n - o, -3 = o. Let r = n + 0. What is the tens digit of (r - 189/6)*(-8)/6?
4
Let j(x) = 2*x**2 - 14*x. Let t be j(19). Suppose -545 = -3*y + 4*s + 169, 2*y - t = -4*s. What is the units digit of y?
4
Suppose 4*c - 14*c = -3610. Suppose 603*l = 602*l + c. What is the tens digit of l?
6
Let o be 2 - ((6 - 0)/(-1) - -2). What is the tens digit of 436*o/8 - (-2 - 1)?
3
Let k(x) = -x**2 + 19*x - 8. Let t be k(4). Let j = t + -10. What is the tens digit of j?
4
Let f(a) = -a**3 + 10*a**2 + 6*a + 10. Let w be f(9). Let u = 190 - w. What is the tens digit of u?
4
Let b(y) = 6 + 3*y - y + 0*y - 23*y. Let c be b(-5). Suppose -c = -3*i - 4*r + r, 4*i - 3*r - 155 = 0. What is the tens digit of i?
3
Suppose -15*q + 7*q = 0. Suppose 0 = 3*x - p + 2*p - 1056, -5*p = q. What is the hundreds digit of x?
3
Let k be 2*-2 + 66/11. Suppose -2200 = -k*u - 9*u. What is the hundreds digit of u?
2
Let d = 2016 - 1390. Suppose d = 5*h + 196. What is the units digit of h?
6
Let g = -3442 - -4479. What is the units digit of g?
7
Suppose -5*b - 10 = 0, 2*b + b = 2*o - 100. Let s = 45 - o. What is the tens digit of 48/2 - 8/(s + -2)?
2
Suppose -4676 = -b - t, 0 = 4*b - 7*t + 8*t - 18716. What is the tens digit of b?
8
Suppose 5*l + 0*l - 17710 = 0. Suppose -1222 = -12*o + l. What is the tens digit of o?
9
Let d(s) be the third derivative of -s**6/60 + 19*s**5/60 + s**4/12 - 7*s**3/2 + s**2 - s. What is the units digit of d(9)?
8
Let u = 227 - 222. Suppose j + 881 = 2*n, 7*n - u*n - 856 = -4*j. What is the units digit of n?
8
Suppose -19*h = -15*h - 2*s - 27876, 4*h - 27886 = -3*s. What is the units digit of h?
0
Let s(r) = -14*r**3 + 4*r**2 - r - 5. Let x be s(3). Let p = x + 616. What is the hundreds digit of p?
2
Let m be 2/6 + (-40)/(-15). Suppose -m*d - 112 = -28. What is the units digit of (23 - -3)*d/(-8)?
1
Suppose 0 = -6*b + 8*b + 6. Let k be (-1)/((-1)/(-402)*b). Suppose 0 = 6*n - k - 100. What is the units digit of n?
9
Let i(t) = 533*t - 508. What is the units digit of i(15)?
7
Let h(x) = 1061*x**2 + 22*x - 43. What is the thousands digit of h(2)?
4
Let t = 12861 + -4753. What is the hundreds digit of t?
1
Let y(u) be the first derivative of -u**3/3 + 7*u**2 + 4*u - 6. Let w be y(14). Suppose 5*l = -3*m + 164, w*m + 4*l = 3*l + 230. What is the units digit of m?
8
Let i = 202 - 52. Let r be (-1 - (-10)/15)*30. What is the units digit of 1 + i/4*(-16)/r?
1
Let c = 2 - -116. Let g be (4/6*-6)/(-1). Suppose -g*m + 2*m = -c. What is the units digit of m?
9
Let d(a) = 26*a. Let o be d(8). Suppose -6*y + o = -338. What is the units digit of y?
1
Suppose -3*p - 339 = -27. Let f = p + 61. Let d = 45 - f. What is the units digit of d?
8
Let r = -32 + 39. Let s be 2/(3 + -1*r/3). Suppose -2*f = s*f - 470. What is the tens digit of f?
9
Let j = -7170 + 10768. What is the hundreds digit of j?
5
Let s(u) = 2*u. Let c be s(2). Let n = 279 - 275. Suppose 2*x - 106 = n*p - 396, -x + 281 = c*p. What is the units digit of p?
1
Let g = 155 - 166. Let r(s) = -s**3 - 7*s**2 + 6*s - 27. What is the units digit of r(g)?
1
Let b(k) = 26*k**3 + k**2 - 2*k + 1. Let h(j) = j**3 - 11*j**2 - 11*j + 2. Let c be h(12). Let x be c/12 + (-3)/18. What is the units digit of b(x)?
6
Suppose -10*w + 731 = -83249. What is the thousands digit of w?
8
Suppose 4430 = n + 5*j - 2782, -3*n + 21625 = 4*j. What is the thousands digit of n?
7
Let p(l) = -l**3 + 17*l**2 + 21*l - 25. Let b be (-4)/18 + 5/(-135)*-6. Suppose b = -2*z + 4, z = m - 16. What is the units digit of p(m)?
9
Suppose 5*n = -0*n - 10, 3*n - 14694 = -3*o. What is the thousands digit of o?
4
Let f = 9212 + -3087. What is the thousands digit of f?
6
Let c be -7 + (-5)/((-5)/4). What is the hundreds digit of 4/(c + 2)*(-1 - 39)?
1
What is the thousands digit of (6 + (-2)/2)*(-123232)/(-160)?
3
Suppose -20287 = -3*o - c + 4582, 3*c = 5*o - 41439. What is the units digit of o?
9
Suppose 3*i - 175*d = -170*d + 10247, -5*i - 5*d = -17105. What is the hundreds digit of i?
4
Let k = 6778 + -2223. What is the thousands digit of k?
4
Let d(b) = 6*b**2 - b + 7. Let o be d(-5). Let s = -50 + o. Suppose 2*x - 26 = s. What is the units digit of x?
9
What is the hundreds digit of 1763 + (-12 - (-31 + 8))?
7
Suppose 4*s = 2*s + 2*r + 1002, -988 = -2*s - 5*r. Suppose -3*w = -278 - s. What is the tens digit of w?
5
Suppose -7*g = -6*g + 288. What is the tens digit of 3 + (5 - -1 - g)?
9
Let g(x) be the third derivative of -5*x**4/3 - 91*x**3/6 + 51*x**2. What is the units digit of g(-9)?
9
Let c = 8678 + -5563. What is the units digit of c?
5
Let p(r) = 2*r + 5. Let h = 45 - 41. Suppose h*i = -i + 20. What is the tens digit of p(i)?
1
Let v be 20/(-30) - 28/(-6). Let s(b) = 19*b + 25. What is the hundreds digit of s(v)?
1
What is the units digit of (13456/(-28))/(14/(-49))?
2
Let o = 5127 + -4885. What is the units digit of o?
2
Suppose 4928 = 14*m - 6*m. Suppose -11*g + m = -4*g. What is the tens digit of g?
8
Let p(z) = 59*z**2 + 23*z - 21. Let r be p(-8). Suppose -r - 169 = -10*w. What is the units digit of w?
4
Let o be 1/(33/60) - 4/(-22). Suppose q - 5 = 2*q - o*k, -2*k = 3*q - 25. Suppose -4*u + 93 = 3*z, q*u = -5*z + 3*u + 141. What is the tens digit of z?
2
Let w = -90 - -2932. What is the units digit of w?
2
What is the units digit of ((-10)/3)/((-10)/24) - -9217?
5
Suppose 3*v = -2*v - 75. Let k = -13 - v. What is the units digit of ((-158)/(-8) - k)*4?
1
Let v be 6/(-10) - -27*(-2)/(-15). Suppose 3*j = -v*j + 924. Suppose -d - 183 = -3*w, -5*d - j + 439 = 5*w. What is the tens digit of w?
6
Suppose 2*o - 7202 = 3*g + g, 3*o - g = 10783. What is the hundreds digit of o?
5
Suppose 226908 = -115*g + 1220163. What is the units digit of g?
7
Suppose 14 = 7*m - 14. Suppose -m*x + 1240 = -208. What is the tens digit of x?
6
Let s = -6 + -19. Let t = s + 29. Let d(g) = 14*g - 8. What is the tens digit of d(t)?
4
Let p = -5872 + 14379. What is the thousands digit of p?
8
Suppose -116*x = -18*x + 106393 - 1066205. What is the hundreds digit of x?
7
Suppose -924 = -j + 4*c, -13*c = -4*j - 10*c + 3696. What is the units digit of j?
4
Suppose -58*x + 17991 = -49*x. Suppose -5*u = 5*o - 2020, 4*u + 2*o = 9*u - x. What is the tens digit of u?
0
Let c be ((-146)/(-365))/(4/(-10)). Let k(o) = -4*o - 1. Let t be k(-1). What is the tens digit of t/9 - c/(6/370)?
6
What is the tens digit of (3/(-1))/(((-345)/(-5110))/(-23))?
2
Let k = -27 - -50. Let g = 35 - k. Suppose 0*n + g = d + n, 12 = 3*d - 5*n. What is the units digit of d?
9
Suppose -2*x = -4*u, -u = 3*x + 3*u - 10. Let v be (1/x)/(5 - 196/40). Suppose 5 = -v*w, -4*o - 26 = -w - 375. What is the units digit of o?
7
Let r(w) = 2*w**2 + 7*w - 19. Suppose -12 = -3*g + 9*g. Let s be (-1 - -4)/(g/6). What is the tens digit of r(s)?
8
Suppose v + 92 = 2*x, 5*x + 33*v - 28*v = 260. Let n = 112 - x. What is the tens digit of n?
6
Let f(i) be the second derivative of 11/3*i**3 - 8*i**2 + 0 - 15*i - 1/12*i**4. What is the units digit of f(16)?
0
Let l(n) = n**3 - 18*n**2 - 26*n - 3. Let a(f) = 41*f - 21. Let o be a(1). What is the hundreds digit of l(o)?
2
Suppose 0 = 3*p - 4*m - 26782, 201*m + 17850 = 2*p + 196*m. What is the hundreds digit of p?
9
Suppose -5*o - 38174 = -4*b, 0 = 5*b + o - 6495 - 41237. What is the thousands digit of b?
9
Let s = -91 - -95. Suppose 0 = -4*h + g + 800, 4*h - s*g + 183 = 5*h. What is the tens digit of h?
9
Let j(i) = -i**3 + 20*i**2 + 23*i - 19. What is the tens digit of j(11)?
2
Let x be 4 - 7 - (0 + 101). Let p = 66 + x. What is the tens digit of (8/6)/(p/(-2337))?
8
Let q = -2565 - -3033. What is the hundreds digit of q?
4
Suppose -291*n + 367500 = -231*n. What is the hundreds digit of n?
1
Suppose -x - s + 3253 = 0, 3241 = x + 11*s - 6*s. What is the units digit of x?
6
Suppose -v + 9531 = l - 3*v, -4*l - 3*v + 38179 = 0. Suppose -1159 + l = 22*x. What is the tens digit of x?
8
Let o = 39 + -70. Let g = 19 + 13. Let v = o + g. What is the units digit of v?
1
Suppose 49*h - 561150 = -26*h. What is the tens digit of h?
8
Let p(f) = f**2 - 7*f + 15. Suppose -h + 5 - 8 = 0. Let n(w) = w**2 + w + 4. Let j be n(h). What is the tens digit of p(j)?
4
Let n = -29 + 35. Let c = -16 + n. What is the tens digit of 1329/15 + -1 + 6/c?
8
Let r = -4810 - -10331. What is the hundreds digit of r?
5
Let u = 203 - 198. Suppose 3*y = -u*g + 35 + 47, 4 = -4*y. What is the tens digit of g?
1
Let t = 27 + -23. Suppose 4*h = -t*l - 6922 + 1374, -2*h + 3*l = 2789. What is the units digit of 4/(-14) - (h/14 - -3)?
6
Suppose -14*w + 5*w - 7083 = 0. What is the units digit of 10/20 - w/2?
4
Suppose -3*c - 7*k + 11206 = 0, c = 4*k + 1661 + 2068. What is the thousands digit of c?
3
Let v(y) = 640*y - 23. Let m be v(2). Let x = -864 + m. What is the units digit of x?
3
Let c = 28 + -28. Let f(p) = p**2 - p + 2. Let w be f(c). Suppose 100 = w*i - 100. What is the hundreds digit of i?
1
Suppose 0 = 4*g + k - 189, -13*g = -18*g - k + 236. Let o = 0 + 3. Suppose -o = 2*y - q - g, y - q - 22 = 0. What is the tens digit of y?
2
Let c = 9829 - 6020. What is the hundreds digit of c?
8
Suppose -29006 = -4*u + b, 7*u = 4*u + 3*b + 21750. What is the units digit of u?
2
Suppose -a - 32*f + 29*f + 4530 = 0, 3*a - 13546 = 2*f. What is the tens digit of a?
1
Let h(r) = 15*r**2 + r + 7. Let w be h(-4). Suppose 5*j - w = -3*k, -4*j - 5*k + 53 = -3*j. Let n = j - 36. What is the tens digit of n?
1
Suppose -12*b - 1064 = -5*b. Let m = b + 587. What is the units digit of m?
5
Let l(c) = 21*c**2 - 9*c + 21. Let a(m) = -2*m**3 + 5*m**2 + 4*m + 1. Let h be a(3). What is the hundreds digit of l(h)?
3
Suppose 4*r + 5*i = 5*r - 6152, -4*i = 2*r - 12290. What is the hundreds digit of r?
1
Suppose 21 = -3*v - 4*v. Let c be -312*(-1)/(-3)*v. What is the tens digit of (-1)/(-4) + c/32?
1
Suppose -a = 3, -u - 3*a = -2*u + 61. Suppose 16*w - 12*w - u = 0. Suppose 9*v - w*v = -80. What is the units digit of v?
0
Suppose -15*z = -16*z + 60. Suppose z*i - 59*i = 222. What is the units digit of i?
2
Suppose -q - 4*s = -5*s + 636, -4*s - 3225 = 5*q. Let p = -198 - q. What is the tens digit of p?
4
Suppose -r + 1 = y, 0 = -3*y + 6*r - 10*r - 1. What is the tens digit of (-4 + y - -43) + (-1 - -3)?
4
Let h(x) = 17*x**3 - 10*x**2 + 46*x - 162. What is the units digit of h(7)?
1
Let n = 3387 + 5739. What is the units digit of n?
6
What is the hundreds digit of (340/51 - 2*-3)/(2/501)?
1
Let c(g) = 9*g + 7. Let l be c(5). Let j = l + -35. Suppose 2*i = -3*h + 26 + 29, j = i + 5*h. What is the units digit of i?
2
Let d(x) = -11*x**3 - 6*x**2 - 15*x + 6. Let g be d(-5). Suppose -3*f = -m - g, 6*m + 432 = f + 4*m. What is the units digit of f?
6
Suppose g = -n - 18, -g + n - 8 + 0 = 0. Let q(c) = -11*c - 20. What is the units digit of q(g)?
3
What is the hundreds digit of (-124032)/(-24) - (-1 - 8)?
1
Let w(n) = n**3 - 3*n**2 + n + 2. Suppose 0 = -0*u - 3*u + 9. Let d be w(u). Suppose 4*c + 11 = -k + 76, 0 = d*k + 4*c - 309. What is the units digit of k?
1
Suppose -3*i = -a - 173, -12 = -2*a - 4. Let w(z) = -7*z + 8. Let f be w(6). Let y = i + f. What is the tens digit of y?
2
Let q(s) = -6*s - 8. Let i = 17 - 21. Let w be ((-14)/i + -4)*4. What is the units digit of q(w)?
4
What is the units digit of (55/22)/((15/57966)/1)?
1
Let z = 7953 - -1957. What is the units digit of z?
0
Let s(q) = -q**2 + 11*q - 2. Let w(t) = -t - 1. Let g(b) = s(b) + 5*w(b). Let m be g(5). What is the tens digit of (0 + -4 - m) + (1 - -66)?
6
Let f(n) = -n**3 + 8*n**2 - 2*n - 3. Let c(o) = o**2 + 13*o + 17. Suppose 0 = d + 9 + 3. Let q be c(d). What is the tens digit of f(q)?
6
What is the tens digit of 9057/(2 + (-6)/3 + 1)?
5
Let n(q) = -232*q + 1066. What is the hundreds digit of n(-24)?
6
Let p = -150 + 243. Suppose 5*r = 6*r - p. What is the units digit of r?
3
Suppose -d + 24 = -4*l, 3*d + 5*l - 2*l = 102. Let g = -28 + d. Suppose -2*m - 5*t = -167, 0 = -4*m + t - g*t + 313. What is the tens digit of m?
7
Let z = -17 - 181. Let w = z + 119. What is the tens digit of -4 - w - -1 - 0?
7
Let o(d) = 2*d - 1. Let c(r) = 4*r - 80. Let y(i) = -c(i) + 3*o(i). What is the units digit of y(27)?
1
Suppose 821 = 4*o - 3*s, -10*o + 5*o + 1035 = 5*s. Let r = 590 - o. What is the hundreds digit of r?
3
Suppose -6*f + 882 = -3*f. Suppose 5*l - f = 346. What is the hundreds digit of l?
1
Let y = 18536 - 11068. What is the hundreds digit of y?
4
Let o(d) = d**3 + 21*d**2 + 17*d - 16. Let g = -159 + 140. What is the units digit of o(g)?
3
Let r be 1185/5*1*(-2)/6. Let c = r + 340. What is the hundreds digit of c?
2
Suppose -5 = -2*i - 21. Let v be (4/2 - -2)/((-2)/i). What is the tens digit of 12 + (-24)/v + 2/4?
1
Let v be (-1)/((-15)/10 - -2). What is the hundreds digit of v + 129 + (-1 + 1)/8?
1
Suppose -17 = -3*b + 4*t, 0*t + 7 = 3*b + t. Let u(i) = 53*i + 32. What is the tens digit of u(b)?
9
Suppose 59*u - 42342 = 89641. What is the hundreds digit of u?
2
What is the thousands digit of (-1 - 1)*(-3095 + (17 - 20))?
6
Let b = -32 - -54. What is the tens digit of 404 + (5 - b/2)?
9
Suppose -4*k - 2*r = -0*k - 22112, -27640 = -5*k + 2*r. What is the units digit of k?
8
Let c = -46 + 48. Suppose c*t - p = 15, 4*t - 4 - 11 = -p. Suppose -2*s = -t*n + 47, n - 2*s = -0*n + 3. What is the units digit of n?
1
Let r be (-6)/(-39) + 5/((-260)/7236). Let f = -109 - r. What is the tens digit of f?
3
Let i(f) = 2*f**2 + 20*f + 18. Let a be i(-6). Let q(c) = c**3 + 32*c**2 + 51*c - 20. What is the tens digit of q(a)?
5
Let o = 45 + -26. Let c(w) = -11*w - 8. Let b(d) = d + 1. Let j(a) = -6*b(a) - c(a). What is the tens digit of j(o)?
9
What is the tens digit of -9 - -15 - -1051*4?
1
Let v(n) = -n + 9. Let q be v(5). Let z be q/12 - (-38)/(-6). Let w(y) = 2*y**2 + 5*y - 2. What is the units digit of w(z)?
0
Suppose w - 71 = -58. Suppose 0 = -6*t + w*t - 2520. What is the units digit of t?
0
Suppose 2*b = -5*x - b + 35, 0 = 5*b + 25. Suppose -x*f = -9*f - 228. What is the tens digit of f?
2
Let p(y) = 595*y**3 + 2*y**2 - 4*y + 2. Let o be p(1). Suppose 8*g - o = 3*g. Let v = g + -49. What is the tens digit of v?
7
Suppose 0*d - 42 = -2*m + 2*d, 68 = 3*m - 2*d. Suppose -m*b + 23*b - 303 = 0. Let z = -44 - b. What is the units digit of z?
7
Let d(h) be the second derivative of 0 + 10*h - 5/3*h**3 + 5/2*h**2. What is the tens digit of d(-5)?
5
Let h = 17 - 13. Suppose h*a - 124 = 32. Suppose -2*g = -3*v + 241, 364 = 5*v - 3*g - a. What is the units digit of v?
3
Let i(v) = -v**3 - 4*v**2 - 5*v - 4. Let c(u) = -2*u + 4. Suppose -z - 2 = -p - 0*z, -5*z = -4*p + 5. Let j be c(p). What is the units digit of i(j)?
8
Let j(r) be the third derivative of 13*r**5/60 + 5*r**4/24 - r**3/2 + r**2. Let v be j(3). Let k = 215 - v. What is the units digit of k?
6
Suppose -5*v + 44388 = -4*y, 3*v + 9198 = -3*y + 35820. What is the thousands digit of v?
8
Suppose 0 = 5*v - o - 13, -v - 5*o = 14 - 1. Suppose 0*h + v*h = -2*y + 588, h + 594 = 2*y. What is the tens digit of y?
9
Suppose -1235 - 2509 = 9*x. Let o = x - -653. What is the hundreds digit of o?
2
Let k = -12 + -74. Let f = 24 - k. What is the units digit of -2*(1 + f/(-4))*1?
3
Let r = -208 - -280. What is the hundreds digit of 12/r + (-3142)/(-12)?
2
Suppose 4*c - 904 - 296 = 0. Suppose p = 5*r - 84, 3*r - 56 = -r - 2*p. Suppose 0 = -r*d + 12*d + c. What is the tens digit of d?
7
Let k(i) = 6*i + 11*i**2 - i**2 - 5*i**2 - 24. What is the tens digit of k(9)?
3
Let s = 27 + -19. Suppose -5*z - 15 = -s*z. Suppose z*f - 496 = 2*w, 4*f + 3*w + w - 380 = 0. What is the units digit of f?
8
Suppose 0 = -3*n + 30 - 27, 33358 = 5*i - 2*n. What is the hundreds digit of i?
6
Let d(h) = -24*h - 73. Let z be 4 + (-39)/3 - 3. What is the tens digit of d(z)?
1
Suppose 0 = -v - 2*j + 5*j + 72, 176 = 2*v + 2*j. Suppose -5*o - 4*n - 105 = 0, n + v = -4*o - 0*o. What is the units digit of 4 + 14*o/(-6)?
3
Suppose 23*w = -56*w - 37*w + 788220. What is the units digit of w?
5
Suppose 316*w - 95 = -q + 315*w, -2*q + 2*w = -170. What is the tens digit of q?
9
Let r = 47 + -75. Let q = r + 225. What is the units digit of q?
7
Let r = 84 + -81. Suppose -l = r*l - 1824. What is the units digit of l?
6
Let u = -116 + 138. Suppose 9*f - u*f + 650 = 0. What is the tens digit of f?
5
Let f = -414 - -789. Suppose 4*n - 5*r - 971 = 0, 4*r + f = 3*n - 352. What is the tens digit of n?
4
Suppose 0 = -2*w - 2*d + 8726, -5*w + 19187 = 3*d - 2618. What is the thousands digit of w?
4
Suppose -14368 = -2*l - 6*a, 13*l - 2*a - 7189 = 12*l. What is the units digit of l?
7
Let j = 44 + -42. Suppose -5 = -j*m - 9. What is the units digit of (0 - 1)*(4 + -3 + m)?
1
Let l = 4433 + 681. What is the hundreds digit of l?
1
Suppose -w = 2*w - 78. Suppose 24 = 8*c - 0. Suppose -r - w = -c*r. What is the tens digit of r?
1
Let k(y) be the third derivative of y**8/560 - 7*y**5/60 + y**2. Let v(d) be the third derivative of k(d). What is the tens digit of v(1)?
3
Let l(n) = -2*n**2 + 16*n - 3. Let x be l(8). What is the tens digit of x/(-18) - (13223/(-42) + 6)?
0
Suppose -145*z = -177*z + 19936. What is the units digit of z?
3
What is the hundreds digit of (((-86)/(-12))/(5/(-20)))/(44/(-13464))?
7
Let a(k) = k + 182. Let o be a(0). Suppose 0*h + 3*n = 2*h - 7, h - 5*n = -14. Suppose 3*t + h = o. What is the tens digit of t?
5
What is the tens digit of -1*(-9)/12 - (-65305)/20?
6
Suppose -33676 = -7*m + 34476 - 14700. What is the tens digit of m?
3
Let v(y) = 13*y + y**2 + 3*y**2 + 4*y**2 + 10 + y**2. What is the tens digit of v(-5)?
7
What is the tens digit of (-6)/28*1588/(-3) - (-117)/(-273)?
1
Let w be -4*(-2)/20 - (-96)/10. Suppose -4*h + w = 2*j, 3*h + 6*j - 5 = 4*j. Let f = h + 0. What is the units digit of f?
5
Suppose 6*i - 2*i = -5*z + 6155, -2*z + 6 = 0. What is the units digit of i?
5
Suppose -50*a = 46*a - 614688. What is the hundreds digit of a?
4
Let u(z) = z + 8. Let o(p) be the second derivative of p**5/20 - p**4/4 - p**3/3 + p**2 - 3*p. Let g be o(3). What is the units digit of u(g)?
4
Let w(d) = 17*d**2 + 253*d - 20. What is the units digit of w(10)?
0
Suppose -5*b - s = -11, 0 = -2*s - 26 + 18. Suppose 3*h = -2*x + 440, b*x + 1114 = 8*x + 4*h. What is the units digit of x?
6
Suppose 0 = n + 4*h - 5047, -3896 - 1157 = -n - h. What is the units digit of n?
5
Let q = 49 - 48. Let d be (10/(-25))/(q/(-10)). What is the tens digit of d*12/16 + 7*5?
3
Let m = 96 - 35. Let z = -3 + m. Suppose -p + 14 = -z. What is the tens digit of p?
7
Let u(x) = -232*x - 1181. What is the units digit of u(-33)?
5
Suppose -22*y + 4*y + 3240 = 0. Let o = 317 - y. What is the hundreds digit of o?
1
Suppose 11 + 12 = 3*b + 4*r, -2*r = 4*b - 14. Let a be (b/(-2))/(1/4). What is the tens digit of (-586)/(-8) + a/8?
7
Suppose -y + w + 5 = 0, 14*y + 20 = 18*y + 5*w. Let j = -11 - -15. Suppose -16 = -d + y*u, -d + 36 = j*d - 3*u. What is the units digit of d?
6
Let b = 2170 + -1727. What is the tens digit of b?
4
Let a be ((-14)/(-3))/((-6)/(-18)). Suppose a*t = 19*t. Let u(f) = f**3 - f**2 + f + 40. What is the units digit of u(t)?
0
Let s = 9900 + -2797. What is the units digit of s?
3
Let o(m) = -245*m - 11. Let c(i) = -245*i - 10. Let d(s) = -6*c(s) + 5*o(s). What is the tens digit of d(1)?
5
Let q be (33/9 + -3)/(4/1986). Suppose -83 - q = -6*j. Let z = 155 - j. What is the tens digit of z?
8
Let c(m) = 168*m - 168. What is the tens digit of c(6)?
4
Let f(y) = -1162*y - 334. What is the thousands digit of f(-5)?
5
Let x = -44 + 154. Suppose -2*h = x - 466. What is the tens digit of h?
7
Let p(z) = z**3 - z**2 + 16. Let k be p(0). Let g(q) = q**2 + 14*q - 9. Let s be g(-15). Suppose -k*u = -s*u - 1000. What is the units digit of u?
0
What is the hundreds digit of (-19370)/((-182)/14) + 5?
4
Suppose -17*a + 125 = 873. What is the tens digit of (-10)/55 + (-9380)/a?
1
Let f(p) = 4*p**2 - p - 12. Let i be f(-2). What is the tens digit of -4*995/(-40) + i/4?
0
Let u = -4 - 12. Let c be 13/2 + 8/u + -3. Suppose -n = 3 - 1, c*j = 4*n + 236. What is the tens digit of j?
7
Suppose 16 = -4*v, 0 = w - 3*v + 763 - 6281. What is the units digit of w?
6
Suppose -v = -3*w + 153, 5*w - v = 4*v + 265. Suppose 54*x - w*x - 184 = 0. What is the units digit of 0 + (4 - 6) - -2*x?
0
Let o(p) = -p**2 - 4*p - 4. Let b(z) = -4*z**2 - 17*z - 15. Let n(q) = 2*b(q) - 9*o(q). Let v be n(-2). What is the tens digit of 1 + ((-258)/v)/((-1)/2)?
8
Let x(z) = 10*z - 11. Let w(r) = -9*r + 10. Let o(q) = -7*w(q) - 6*x(q). Suppose 2*j = g + 14, -3*j = 11*g - 13*g - 21. What is the tens digit of o(j)?
1
Let w = -13767 - -20889. What is the tens digit of w?
2
Suppose 3*f = 16 + 17. Suppose 0 = -4*s - 8, 3*s - 668 = -5*u + 7*s. Suppose u = 15*k - f*k. What is the tens digit of k?
3
Suppose -506*z = -540*z + 155312. What is the thousands digit of z?
4
Let h be (6 - (15 - 7))/(2/(-9)). Suppose 4*m - h*m = p - 69, 4*m = p + 48. What is the units digit of m?
3
Let l(v) = -v**3 - 6*v**2 + 5*v - 5. Let q be l(-7). Let s be (4 + 0 + 2)*45/10. What is the tens digit of s + 2 - (6 - q)?
3
Let r(f) = -f**3. Let g(l) = l**3 - 20*l**2 - 16*l - 57. Let d(x) = -g(x) - 2*r(x). What is the tens digit of d(-18)?
1
Let d(x) = 4*x**2 - 6*x + 99. What is the units digit of d(-28)?
3
Let h be ((-5)/3 - -2) + 7/(-3). Let t be 2 + (-1)/h*2. Suppose -22 = t*k - 229. What is the tens digit of k?
6
Let p(l) = -3*l**2 + 7*l + 17. Let b be p(7). Let n = b + 483. What is the tens digit of n?
0
Suppose -19*v + 269020 = 84530. What is the tens digit of v?
1
What is the tens digit of (-7 - (-1163)/2)*(3 + 5)?
9
What is the tens digit of 740/(-888) + 42791/6?
3
Let b be (0/4)/(-2 - 0/2). Suppose 16*h - 2880 - 3904 = b. What is the units digit of h?
4
Let j = -2634 - -4671. What is the tens digit of j?
3
Suppose 1936 + 8948 = 12*g. What is the tens digit of g?
0
What is the thousands digit of 225990/111 - 18/(-333)?
2
Suppose -12 = -4*k + 4. Let a be (-114)/18 + k/(-6). Let d(r) = r**3 + 9*r**2 + 9*r - 6. What is the units digit of d(a)?
9
Suppose 5*w - 3*w = 0. Suppose -8*u + 1163 + 229 = w. What is the units digit of u?
4
Let r(p) = p**3 - 8*p**2 + 2*p - 4. Let t be r(8). Suppose -14*l + 24 = -t*l. Let q = l - -47. What is the tens digit of q?
5
Let c = 15461 + -10012. What is the thousands digit of c?
5
Let d(l) be the second derivative of -2*l**3/3 - 12*l**2 + 10*l. Let k(z) = 1. Let j(g) = -d(g) + 2*k(g). What is the tens digit of j(8)?
5
Let m(u) = u + 52. Suppose 7*l = 239 - 365. What is the tens digit of m(l)?
3
Let r = -1667 + 4071. What is the thousands digit of r?
2
Let x(y) = 77*y**2 - 2*y + 1. Let p be x(1). Let r = 353 + -400. Let c = p + r. What is the tens digit of c?
2
Let i be 30/4*(-14)/(-21). Suppose 0 = -4*v - 3*y + 46, v + 4*v = i*y + 40. Let o(d) = 8*d - 14. What is the tens digit of o(v)?
6
Suppose -696 = 6*n + 642. Let h = -144 - n. What is the units digit of h?
9
Let r(x) = x**3 + 12*x**2 - 26*x + 238. What is the tens digit of r(18)?
9
Let v(t) = -t**3 + 10*t**2 + 8*t - 7. Let q(o) = -5*o - 13. Let h be q(-4). What is the hundreds digit of v(h)?
1
Suppose 0 = 24*a - 32727 - 59217. What is the tens digit of a?
3
Let b(o) = 91*o + 4369. What is the hundreds digit of b(0)?
3
Let q(d) = d**2 + 23*d - 78. Let x be q(-19). Let k(a) = 5*a**2 + 10*a - 2. Let h be k(-8). Let n = h + x. What is the tens digit of n?
8
Let w(m) = -m**3 - 5*m**2 - m - 42. Let o be w(-6). Suppose -6*l - 5*l + 1815 = o. What is the hundreds digit of l?
1
Let v(s) = -7*s + 13. Let q be v(-4). Let j = 45 - q. Suppose -4*i - 3*h = -317, j*i + h - 90 = 221. What is the units digit of i?
7
Let u(r) = 3*r**2 + 29*r - 1196. What is the units digit of u(-64)?
6
Suppose 0 = -3*u - 2*y + 1, 2*u - 5*u + 4*y - 11 = 0. What is the tens digit of (204 - u)*(-184)/(-115)?
2
Suppose 8*t = 187 + 2485. Let s = 642 - t. What is the tens digit of s?
0
Suppose 1 = 2*h - l - 14, 3*l = -2*h + 35. Suppose -7*m = -6*m + h. Let o(i) = 2*i**3 + 22*i**2 + 10*i - 4. What is the units digit of o(m)?
6
Suppose -20*p = -3*d - 23*p + 21, -d - 2*p = -9. Suppose -2*f = v - 252, 205 + 425 = d*f - v. What is the tens digit of f?
2
Let c(u) = -6*u**2 + u - 1. Let z be c(-1). What is the tens digit of (3/((-27)/366))/(z/12)?
6
Let d(v) = -v - 25. Let z be d(-14). Suppose 5*o = o. What is the units digit of o + (-250)/(-8) - z/(-44)?
1
Suppose 267*g = 237*g + 99480. What is the hundreds digit of g?
3
Let l = 8 - 4. Suppose -5*i = l*b - 0*i - 33, 5*b + 2*i - 20 = 0. Suppose 2*m = 2*u - 100, -4*u = b*m - 3*m - 185. What is the units digit of u?
5
Let l(d) = -d**3 - 11*d**2 - 19*d - 6. Let i be l(-8). Let m = 32 + i. What is the units digit of (2 + -9)*(60/m + 0)?
0
Let y(l) = -l**3 + 7*l**2 + 15*l + 4. Let j be y(7). Let v = j - -318. What is the tens digit of v?
2
Let k(l) be the second derivative of -7*l**3/6 + 40*l**2 - l. What is the units digit of k(-19)?
3
Suppose -b + 7945 = -j, 24*b + 4*j - 31740 = 20*b. What is the units digit of b?
0
Let f(s) be the first derivative of s**3/3 - s**2/2 + 4. Let d(w) = -w**3 - 10*w**2 + 7*w - 5. Let r(k) = d(k) + 4*f(k). What is the units digit of r(-7)?
3
Let s be 8 + -9 + 34/4*2. Suppose s*j = 3*j + 1079. What is the units digit of j?
3
Let i be (1 - -22)*-1 - (24 - 20). What is the units digit of (-3230)/(-15) + -3*6/i?
6
Let j be (2/(-8))/(4/(-16)). Let u be 0 + j - (2 - 3 - 8). Suppose 6 = -3*p, 3 = 5*i + p - u. What is the units digit of i?
3
Suppose -2 = -10*a + 9*a. Suppose 408 = 2*x - a. Suppose -4*u + 175 = -x. What is the units digit of u?
5
Let y(h) = h**2 + 29*h + 31. Let v be y(-28). What is the units digit of (4/(-12))/(2 - 7/v)?
1
Let b = -19 + 22. Suppose 0 = b*k - 1068 + 108. Suppose o = 5*o - k. What is the units digit of o?
0
Let o = -155 + 158. Suppose o*n - z = -0*n + 151, -4*n - 3*z = -184. What is the tens digit of n?
4
Let a be 5/10 + 1348/8. Suppose z - a = -4*d + 120, -5*d = -4*z + 1135. What is the hundreds digit of z?
2
Let z be ((-30)/45)/(2/(-9)). Suppose z*u + u - 440 = 0. Let j = -9 + u. What is the tens digit of j?
0
Let k be (776/(-33) - (-2)/11)*-3. Let r = 401 - k. What is the hundreds digit of r?
3
Suppose 15 = 3*g - 3*l, -4*g + 2*l + 15 + 5 = 0. Suppose -20 = -5*u, -g*u + 517 = 2*i - 245. What is the hundreds digit of i?
3
Suppose 3*l + 4*h - 203 = 2286, 3*h = 4*l - 3277. What is the units digit of l?
3
Suppose 9836 - 1642 = 7*f - 6*f. What is the tens digit of f?
9
Let b = -68 - -20. Let q(r) = 36*r - 160. Let a be q(6). Let z = a + b. What is the units digit of z?
8
Suppose -4*l + 40 = -0*u + 2*u, 4*l = u - 20. Suppose -3*o + 679 = -u. Suppose 3*s - 16 = -3*d + o, -3*d = -2*s + 186. What is the tens digit of s?
8
Suppose 5*m = -12*m. Suppose 5*v = 5*h - 1670, m*v - 314 = -h - 4*v. What is the units digit of h?
0
What is the tens digit of 18175*(-6)/(-24) + (-16)/(-64)?
4
Let k(a) = 2*a**2 - 41*a + 25. Let q be k(20). Suppose q = 4*t - 1347. What is the tens digit of t?
3
Suppose 81 = -2*v + 123. Let o(r) = -r**3 + 22*r**2 - 14*r + 42. What is the hundreds digit of o(v)?
1
Suppose 156*y = 161*y - 4015. Let r = -548 + y. What is the tens digit of r?
5
Let f(o) be the second derivative of -o**4/12 - 29*o**3/6 - 27*o**2/2 - 68*o. What is the hundreds digit of f(-9)?
1
Let m(u) = -382*u - 256. What is the tens digit of m(-7)?
1
Let g(r) = -3*r + 31. Suppose -19 = 3*t - 10. Let x(p) = 2*p**3 + 6*p**2 + 5*p + 1. Let z be x(t). What is the tens digit of g(z)?
7
Let p(f) = 194*f**3 - f**2 + 2*f - 1. Suppose -5*b + 4*u - 5*u + 4 = 0, 0 = b + 2*u + 1. What is the units digit of p(b)?
4
Let q(p) = 67*p + 11. Suppose -110 = -11*r + 6*r. Let j be q(r). What is the tens digit of j/25 - (-6)/10?
6
Let j(o) = 14*o**2 - 6*o - 2. What is the tens digit of j(-4)?
4
Let b = -9281 - -13410. What is the tens digit of b?
2
What is the hundreds digit of ((-20174)/77)/(1*(-6)/111)?
8
Let w = -73 - -14. Suppose -5*n + 494 = -3*v, -3*n = -4*n + 4*v + 109. Let g = w + n. What is the tens digit of g?
3
Let o(w) = w**3 - 9*w**2 - 7*w - 30. Let j be o(10). Suppose j*u + 837 = 3*u. What is the tens digit of u?
7
What is the hundreds digit of (-2)/6 + ((-29728)/(-20))/((-33)/(-55))?
4
What is the thousands digit of -21 - -6041 - 2/(-3)*18/4?
6
Suppose 0 = -0*t - 3*t + 2*q - 26, 24 = -2*t - 2*q. Let k be (t - -49)/(2/(-2)). Let f = k - -69. What is the tens digit of f?
3
Let h(y) = -662*y + 1565. What is the tens digit of h(-12)?
0
Suppose 0 = 2*j - o - 19423 + 4324, 3*j + o - 22656 = 0. What is the hundreds digit of j?
5
Let p = -21 - -30. Let f(i) = p - i**2 - 49 + 28 - 13*i. What is the tens digit of f(-8)?
2
Let z be -4*2/48*-10*3. Suppose z*w - 4 = 11. Suppose 0 = w*t - 7*t + 276. What is the tens digit of t?
6
Suppose -9*f + 360 - 153 = 0. Suppose -5*r + 254 = a, -2*a + 24*r - f*r = -508. What is the units digit of a?
4
Let g = 6030 + -2407. What is the units digit of g?
3
Let i be (21/(-14))/((-6)/8). Let f(d) = 15*d + i*d**2 + 5*d**2 - 6*d**2 - 11. What is the tens digit of f(-18)?
4
Let n(c) = -566*c + 657. What is the hundreds digit of n(-8)?
1
Let k be -3*1 + 0 + 21 + -24. What is the units digit of -29*(k/9)/((-2)/(-18))?
4
Suppose 13*t + 4 = 14*t. What is the units digit of 130/((-90)/(-21) - t)?
5
Suppose 169360 + 70148 = -v + 37*v. What is the units digit of v?
3
Suppose -26*v - 11*v + 19504 = -21*v. What is the thousands digit of v?
1
Let m(a) = 4*a**2 - 7*a - 28. Let p(u) = 3*u**2 - 6*u - 27. Let h(s) = -2*m(s) + 3*p(s). What is the tens digit of h(14)?
1
Let i = -178 - -181. What is the hundreds digit of 975*-3*i/(-27) + -3?
3
Suppose 12 = 2*d - 4*d. Let f(w) = -3*w + 6*w**2 - 2*w - 2*w + 9 - w**2 + w**3. What is the units digit of f(d)?
5
Suppose 129*a = -4*m + 134*a + 37280, 4*a - 27991 = -3*m. What is the hundreds digit of m?
3
Let b(x) = 148*x**2 + 20*x + 26. What is the thousands digit of b(-5)?
3
Let a be (-6)/36 + 1/6. Suppose 4 + 17 = -4*m - z, a = 3*z - 9. What is the tens digit of 16/m*(-11 + -4)?
4
Suppose 125*y + 47730 = 130*y. What is the thousands digit of y?
9
Suppose 6*r - 33 = 3*r + 2*y, 4*y = -5*r + 33. Let u be 620/(-434)*(0 + (-7)/2). Suppose -4*k = -c - 4, 3*c - u = -k + r. What is the units digit of c?
4
Suppose -5*j = -5*w + 55, 2*w - 7*w + 31 = 3*j. What is the hundreds digit of 24/(-16) - (-3212)/w?
4
Suppose 6*z = 3214 - 622. Let g = -95 + z. What is the hundreds digit of g?
3
Let i(z) = 3*z + 36 + z + 0*z - 2*z. Let p be i(-17). Suppose -p*b + 54 + 2 = 0. What is the tens digit of b?
2
Let o(l) = 131*l + 1121. What is the units digit of o(-3)?
8
Let q(a) = 3266*a - 3266*a + a**2 - 54. What is the tens digit of q(11)?
6
What is the units digit of (53/2)/((-11457)/5738 - -2)?
3
Let g(z) = -9*z + 74. Let d be g(8). Suppose d*a - 241 - 80 = -p, 4*a - 1288 = -4*p. What is the hundreds digit of p?
3
Suppose 88*f + 6 = 85*f. Let p(y) = -54*y**3 - 2*y**2 + 5*y + 13. What is the tens digit of p(f)?
2
Suppose 51860 = 11*h + 2*h - 4846. What is the units digit of h?
2
Let p = 235 + -8. Suppose -253 - p = 2*o. What is the tens digit of (-7 - 0)*o/28?
6
Suppose 6395 = 10*t + 2073 - 3288. What is the tens digit of t?
6
Suppose 2*a + a = 270. Suppose 4*u - 62 = p, 5*u - a = -3*p - 2*p. Let y = u - -85. What is the hundreds digit of y?
1
Suppose 0*g + 2*g - 14 = 0. Let y(u) = u**3 - 9*u**2 + 2*u - 8. Let o be y(9). Let h = g + o. What is the tens digit of h?
1
Let x = -9468 + 18949. What is the tens digit of x?
8
What is the thousands digit of 8/36 - (-2637440)/288?
9
Let t = -457 + 1655. What is the tens digit of t?
9
Let r = 47 + 4225. What is the units digit of r?
2
Suppose 2*j + 2*j + 24030 = 5*y, 2*j + 24030 = 5*y. Let w be (-224)/(-98) + (4/7)/(-2). What is the units digit of y/72 - w/(-8)?
7
Let b(s) = -2*s**3 + 49*s**2 - 94*s + 9. Let l(d) = d**3 - 25*d**2 + 47*d - 5. Let o(r) = -4*b(r) - 7*l(r). What is the tens digit of o(19)?
7
Let s be 26*(15/(-5) + 2). Let a = s - -31. Suppose 0 = o + 3*o + 3*x - 351, -a*x = 4*o - 345. What is the units digit of o?
0
Suppose -3*z - 776*x + 2635 = -775*x, 5*z + 4*x - 4380 = 0. What is the tens digit of z?
8
Let z be (-34)/85 - 2362/(-5). Suppose -5*m + 3*b + 323 + 857 = 0, -2*m - 4*b = -z. What is the tens digit of m?
3
Let a be -2*((-13)/2 + 4). Suppose -2 = -5*b + 2*z, -2*b + a*z = -3 - 2. Suppose b*k + 48 = 2*k. What is the tens digit of k?
2
Let a(f) = f**3 - 7*f**2 + 10*f - 35. Suppose -g + 70 = 6*g. What is the hundreds digit of a(g)?
3
Suppose 0 = 6*z - 10*z. Suppose 0 = -3*m + 13 - 4, -r = -5*m - 44. Suppose z = 3*t + r - 206. What is the tens digit of t?
4
Suppose b + 151 = 5*o - 622, o - 151 = -b. Suppose 0 = -11*t + o + 132. What is the tens digit of t?
2
Let c(g) = g**2 - 5*g - 44. Let k be c(10). What is the tens digit of 6*70 - 6/(k + -12)?
2
Let v be (-2)/(-19) - (439/19 - -1). Let t(g) = g**2 + 19*g - 41. What is the tens digit of t(v)?
7
Let a(j) = -j**2 + j - 14. Let w be a(0). Let n = w - -16. Suppose -n*x = -3*x + q + 9, -q - 51 = -4*x. What is the tens digit of x?
1
Let l(i) = -25*i + 21. Let x be l(5). Let k = x + 350. Suppose -5*j - 6*r + k = -2*r, 2*j - 5*r = 105. What is the units digit of j?
0
Let h = 1527 - 1227. What is the tens digit of h?
0
Suppose 1263 - 1519 = -m + 5175. What is the thousands digit of m?
5
What is the tens digit of ((-103)/(-6))/(26/4836)?
9
Let j = -147 + 151. Suppose 8*p = j*p + 1600. What is the tens digit of p?
0
Let w(r) = 80*r**2 - 24*r - 27. What is the thousands digit of w(9)?
6
Let k(r) = -r**2 - 11*r - 25. Let f be k(-6). Suppose 0 = 3*p - 5*p + f*h - 199, -3*p - 286 = -5*h. What is the tens digit of 2 + (p + -6)/(6/(-4))?
6
Let v = 9 + -6. Suppose 117 = 3*u + v*c, -4*u + 4*c + 21 = -143. Suppose 2*y - u = -2*q, 2*q - 30 = -4*y + 40. What is the tens digit of y?
1
Let k(f) = -67*f + 59*f + 153*f - 34 + 12. What is the tens digit of k(2)?
6
Suppose 2*g - 181 = 3*a, -2*a + a + 193 = 2*g. Let z = 263 - g. What is the tens digit of z?
6
Suppose -m - m - 4*n - 44 = 0, 0 = 5*n + 25. Let i(p) = -6*p - p + 6*p + 3. What is the tens digit of i(m)?
1
Let c(g) = g**2 + 8*g - 11. Let p be c(-9). What is the units digit of -43*2*1/p*5?
5
Let j(o) = -39*o**2 - 4*o + 1. Let b be j(-2). Let r = b - -243. Suppose r = -7*q + 8*q. What is the units digit of q?
6
Suppose 6 = l - 9. Suppose 4*v - 5*x = 176, -18 = -v - x + 17. Let c = l + v. What is the tens digit of c?
5
Let y be (-1)/(-6) - (390/(-36) - -7). Let n(c) = 2*c**2 - 10*c + 10. Let q be n(11). Suppose -q = -2*g - 0*j + y*j, 62 = g - 5*j. What is the units digit of g?
7
Suppose -272*g = -275*g + 6870. What is the tens digit of g?
9
Let s = -5 - -1. Let l be (2/3)/(s/114) - 2. What is the tens digit of (1 - l)/(5 + 0)*20?
8
Let j be (-20)/(-4) + -4 - 4. Let o be (j + 4)/(3/18). What is the units digit of (-232)/(-3) - o/(-9)?
8
Let h be (-5 - (-4 + 0)) + 6. Suppose -3*b + l + 49 = -44, h*b = l + 157. What is the tens digit of b?
3
Let p = 3334 - -686. What is the units digit of p?
0
Suppose 0 = 5*k - x - 22117, -3*k + 6*k + 4*x = 13261. What is the units digit of k?
3
Let f(d) = 21*d**2 + 63*d + 388. What is the thousands digit of f(-17)?
5
Suppose 2*j - 4 = 0, 0 = -3*h + 2*j + 6 + 74. Let n be (h/42)/((-2)/(-183)). Let o = n - 35. What is the units digit of o?
6
Let g = 633 + -337. Suppose 0 = -0*u - 8*u + g. Suppose 4*v = -5*h + 167, -h + 2 - u = -v. What is the units digit of v?
8
Let f(x) = -50*x**3 - 4*x**2 + 3*x + 2. Let p be f(2). Let l = p - -687. What is the tens digit of l?
7
Let j be (-2 - 243)*(-2 + 1). Suppose -276 = -2*o + 5*k, -3*o - k + j = -152. What is the tens digit of o?
3
Let c(t) = 45*t - 99. Suppose -3*d - 54 = -9*d. What is the tens digit of c(d)?
0
Let v = 164 - 164. Suppose -2*j - 2 = v, 2*h - 4*j = 4*h - 28. What is the tens digit of h?
1
Let p(h) = h**2 + 7*h - 2. Let k be p(-3). Let i be 455/k*28/5. What is the units digit of i/(-10) + (9/5 - 2)?
8
Suppose 2*x = a + 11, 0 = -x - 2*x + a + 14. Suppose 10 = 2*w, -x*f - 1834 = -7*f + 2*w. What is the units digit of f?
1
Let t(z) = 325*z. Let n be t(1). Let x = n - 155. What is the units digit of x?
0
What is the hundreds digit of 10 - 4 - ((-11)/((-55)/(-8190)) - 2)?
6
What is the thousands digit of 20166/4 - 15/30?
5
Suppose 0 = 2*q + 4 - 20. Suppose 0*b - q = -2*b. Suppose -c + z + 147 = c, b*z + 84 = c. What is the units digit of c?
2
Let k be -9 - (-144)/15 - 12/(-5). Let r(p) = 30*p + 17. What is the tens digit of r(k)?
0
Let c = 17 - 17. Suppose d + 3*b = -4 - 6, -2*d + 5*b + 24 = c. What is the units digit of 1/(d/(-3) - (-61)/90)?
0
Let c = 6666 + -1254. What is the tens digit of c?
1
Let d = -2232 - -2538. What is the hundreds digit of d?
3
Suppose -37*u + 800 = -27*u. Let v = u - 32. What is the tens digit of v?
4
Let i(b) = b**2 + 28*b + 650. What is the tens digit of i(34)?
5
Let f = -2677 - -4587. Suppose 6*j - f = 412. What is the hundreds digit of j?
3
Let g be (-2)/6 - (5 - (-25)/(-3)). Suppose 3*q - 12 = 0, -7*q - 800 = -3*j - g*q. What is the hundreds digit of j?
2
Suppose 20*x - 181386 = -39846. What is the units digit of x?
7
Suppose 1023*k = 1008*k + 45855. What is the thousands digit of k?
3
Suppose -3*o + 15058 = 5*t, 0 = -4*t + 2*o + 5793 + 6249. What is the hundreds digit of t?
0
Let j(m) = m**3 - 14*m**2 - 5*m - 9. Let v be j(15). Let z = v - -129. What is the tens digit of z?
7
Let j = -84 + 89. Suppose j*r - 398 = 4*r. What is the tens digit of r?
9
Suppose -8*v + 18*v - 54360 = -10*v. What is the thousands digit of v?
2
Suppose 0 = -488*y + 455*y + 42273. What is the thousands digit of y?
1
Let l = 4261 - 400. What is the tens digit of l?
6
Let d(q) = 5*q**2 + 107*q - 72. What is the thousands digit of d(-47)?
5
Let d = 1841 - -675. What is the tens digit of d?
1
Let a(z) = z**3 + 8*z**2 - z - 4. Let r = -71 - -36. Let y = r - -29. What is the units digit of a(y)?
4
Let j(a) = -30*a**2 - 15*a - 5. Let z be j(-4). Let l = z + 772. What is the hundreds digit of l?
3
Suppose -12412*x + 12401*x = -70862. What is the tens digit of x?
4
Suppose -2*x = -4*d - 5996, 0 = 5*x - 5*d - 14266 - 744. What is the tens digit of x?
0
Let y be -6 - -3 - (-3 + 0). Suppose y = 5*x - 45 - 0. What is the units digit of (x/(-2))/(-3) + (-5)/(-10)?
2
Suppose 0 = 4*z - 5*z - 19. Let p = z + 32. Suppose 37 - p = 4*k. What is the units digit of k?
6
Suppose -87 = 5*z - 92. What is the tens digit of z*-7*(-5964)/98?
2
Suppose -1 = -s, -4*f = -5*f - s + 31. What is the tens digit of (-3476)/(-20) - f/(-25)?
7
Let g = 886 - 884. Suppose 3*c + 4 = l - 0*c, 3*c = 0. Suppose z = -l*d + 76, 0*d + z = -g*d + 40. What is the units digit of d?
8
Suppose 182*v - 186*v + 16 = 0. Suppose v*q - 238 = -4*x + 226, 3*x + 429 = 4*q. What is the units digit of q?
1
Let q(r) = 7*r - 2. Let b be q(2). Suppose 0 = 3*g + b + 18. Let x = 86 + g. What is the tens digit of x?
7
Let r(p) = 6*p**2 - 53*p + 3. Let m be r(9). What is the tens digit of (-2034)/(-8) + ((-39)/m - -4)?
5
Let h be -6 - -6 - -3*2/3. Suppose 0 = -h*s - a + 289, 4*s + 5*a - 285 = 296. Let j = -101 + s. What is the tens digit of j?
4
Suppose 3*o - 2*o - 3*q = 24, -28 = -o + 4*q. Suppose 5*g - g = -o, -5*k = -2*g - 756. What is the hundreds digit of k?
1
Let j = 5 + 0. Let y(v) = 4*v**2 - 3*v + 3. Let k be y(j). Suppose k = -3*o + 3*u + 316, 4*o + 2*u - 328 = 0. What is the units digit of o?
0
Let z = 48 - 41. Suppose -9*o + 6 = -z*o. Suppose 4*y - 3*m + 120 = 380, 124 = 2*y - o*m. What is the tens digit of y?
6
Let n be (-12)/66 - 4/((-88)/(-18)). What is the units digit of (261/(n - 2))/(3/(-10))?
0
Let k = -151 + 151. Suppose -5*i - s + 2200 = k, 0 = -0*i - i + 4*s + 440. What is the units digit of i?
0
Let d = 38 - 34. Suppose 0*q + 2 = -2*q - 3*k, -d*k = -5*q + 41. Suppose 3*p = -m - 2, -q*m + 0*m - 20 = 5*p. What is the units digit of p?
1
Let s = 53 + -48. Suppose -c = -2*n + c + 98, s*n - 240 = 4*c. Let y = n - 39. What is the units digit of y?
5
Let f = -27 + 29. Suppose -4*v - d = -0*v + 122, f*v + d = -62. What is the units digit of (-2 + 5)/(-3) - v?
9
Suppose -3*w + 281 = d - 4*w, -3*d = -w - 843. Suppose -j + 2 - 7 = 0, -3*o = j + d. Let i = 168 + o. What is the tens digit of i?
7
Let y be ((-33)/(-15))/(1/10). Suppose -40 - y = -2*t - w, -36 = -t - 3*w. What is the tens digit of t?
3
Suppose 2*u = -r - 3*u + 6, -8 = -r - 4*u. Suppose -3*g = 5*x - 1534, -5*x - 5*g + 1930 = 400. Suppose r*s = 20*s - x. What is the units digit of s?
7
Let c(j) be the first derivative of -3*j**2/2 - 13*j + 18. Let h be c(-6). Suppose h*d - 312 = -d. What is the units digit of d?
2
Suppose 3*p = 39*p - 182457 - 169839. What is the hundreds digit of p?
7
Let t = 34 - -69. Let n = t - -98. What is the hundreds digit of n?
2
Let t = 11 - 61. Let l = t - -52. Suppose 2*r - p = 155, -l*p + 140 = 2*r - 6*p. What is the tens digit of r?
8
Let y(i) = -2*i**3 - 31*i**2 + 12*i + 6. Let x be y(-16). What is the units digit of (1 + x)/((-3)/(-6))?
2
Suppose 6*q - a = 8*q - 1, 0 = 2*q + 5*a + 11. Suppose 0 = q*s - 201 - 137. What is the tens digit of s?
6
Let h(u) = 4 - 57*u - 11 + 67*u - 11 - 12*u**2 - u**3. What is the tens digit of h(-14)?
3
Let x = -217 - 65. Let r = x - -500. What is the units digit of r?
8
Suppose -2 - 7 = -3*y. Suppose b + 4*b = 5*c, -5*b + 6 = -y*c. What is the units digit of 1*(2 - -11*c)?
5
Let a(n) = 1 - 2*n - 5 + 1 + 1 + 377*n**2. What is the units digit of a(-1)?
7
Let v(b) be the first derivative of -27*b**2/2 - 4*b + 59. What is the hundreds digit of v(-15)?
4
Suppose -y + 4 = -5*y. What is the hundreds digit of y*(-4 + 6 - 273 - 2)?
2
Let c = 93 + -93. What is the units digit of (-1 - c)*(8 - 24)?
6
Let a(j) = -30*j - 62. Let l be a(-9). Let q = 394 - l. What is the hundreds digit of q?
1
Let u(r) = 23*r - 90. Let a be u(10). Suppose -1617 = -7*i - a. What is the units digit of i?
1
Let b(i) = 172*i + 167*i + 14 - 356*i. Suppose -2*f - 2*s + 5 = 19, -f + 5 = -3*s. What is the tens digit of b(f)?
8
Let s(j) = -216*j - 383. What is the hundreds digit of s(-44)?
1
Suppose -5*k + 26 - 1 = 0, d = 3*k - 10. Suppose -d*q = 2*q - 3045. What is the hundreds digit of q?
4
Let c(r) = 30*r - 21. Let f be c(-7). Let l = 5 - f. What is the tens digit of l?
3
Let o(z) = 25*z**3 + 7*z**2 - 23*z + 13. What is the thousands digit of o(5)?
3
Let y(t) = t**2 - 2*t - 24. Let r be y(-4). Suppose r*o + 3*c - 613 = -2*o, -1485 = -5*o + 2*c. What is the units digit of o?
9
Suppose 2*j = -3*j + 20. Suppose 11 + 1 = j*i. Suppose 2*t = t - 3*b + 47, i*b + 3 = 0. What is the units digit of t?
0
Let v(c) = -3 - 3*c - 4 + 3. Let s be v(-2). Suppose 4*t - 198 = s*t. What is the tens digit of t?
9
Let i(u) = 158*u - 552. What is the units digit of i(21)?
6
Let g(y) = 1394*y + 134. What is the tens digit of g(5)?
0
Suppose 96*t - 512928 - 550940 + 257948 = 0. What is the units digit of t?
5
Suppose -4 = 2*g - 10. Suppose -v + 4*u = -52, 2*u - 146 = -g*v + 4*u. Suppose 33 = b - v. What is the tens digit of b?
8
Suppose -11*r + 14330 = -83900. What is the tens digit of r?
3
Let t = -16248 - -22890. What is the hundreds digit of t?
6
Suppose -2*f = 3*d - 398, -5*f - d = -6*f + 194. What is the tens digit of (60/14)/(5 - 976/f)?
1
Suppose -2*b = 2*b - b. Suppose 5*n + d - 1434 = 0, b = -2*d - 4 + 2. Suppose 0 = -5*j + 792 - n. What is the hundreds digit of j?
1
Let b be 72/(-16)*8/(-6). Let w(o) = o**2 - 5*o - 6. Let v be w(b). Suppose 4*u + 7 = 3, -4*n + 2*u + 34 = v. What is the units digit of n?
8
Suppose -3*b + 2*b - 34048 = -9*b. What is the thousands digit of b?
4
Let u be (26/8)/((-11)/(-2728)). Suppose 0 = 9*f - u - 157. What is the units digit of f?
7
Let c(s) = -3*s + s**2 - 2*s**2 - 6*s + 11*s + 6*s**3. Let z be c(1). Suppose a - z*a = -162. What is the tens digit of a?
2
Let y be (-435)/(-6 - 18/(-4)). Suppose -6*g = -778 - y. What is the hundreds digit of g?
1
Let d be (-3)/((-12)/16) - -1. Let x be 44 - d/(10/(-4)). What is the units digit of x/(-4)*(7 + -15)?
2
Suppose -6*y + 10979 - 4114 = -y. What is the hundreds digit of y?
3
Suppose 0 = x + 4, -21 = -o + 3*x - 7. Suppose 97 + 45 = o*f. What is the units digit of f?
1
Suppose 25 = -5*g, 0 = k - 3*g - 2*g - 58. Let s = 20 - 11. What is the tens digit of -6*(-3 - k/s)?
4
Let n be -2 + (-2 - -8) - 87. Let l = n - -107. What is the units digit of l?
4
Suppose 5*t + 0*c = -c - 140, -3*t - 3*c = 84. Suppose 6*z + 30 = 7*z. Let h = z + t. What is the units digit of h?
2
Suppose -c = 4*c - 215. What is the units digit of (129/c)/(3/29)?
9
Let c = -185 - -659. Suppose -5*l = -3*h - 1680, 2*l = -h + c + 198. What is the tens digit of l?
3
Let f(k) = -11*k + 5 + 3 + 10 + 12. What is the hundreds digit of f(-26)?
3
Let j = 35 + -32. Suppose 3*r + 7 = -0*r - 4*w, 2*r - 5*w - j = 0. Let b(a) = 63*a**2 + a. What is the tens digit of b(r)?
6
Let g(b) = b**2 + b - 1. Let m(t) = -t**2 + t + 7. Let s be m(3). Let p(n) = 5*n**2 - 2*n - 19. Let l(x) = s*p(x) - 4*g(x). What is the units digit of l(-5)?
0
Let u = 28 + -13. Suppose 0 = i, -5*c + 2*i = -i - u. Suppose 0 = 2*y + c*y - 105. What is the tens digit of y?
2
Suppose 5*f - 3*d + 10 - 4 = 0, -3*f - 10 = -5*d. Let j(p) = 2*p + p**3 + 72 + 23 + 5. What is the tens digit of j(f)?
0
Let c = 12255 - 6584. What is the hundreds digit of c?
6
Let b(d) = 2*d**3 + d**2 - 8*d - 6. Let z be b(11). Suppose 589 = -10*c + z. What is the tens digit of c?
1
What is the tens digit of (-21)/(-3) + 12/(-6)*-3621?
4
Suppose -3300 - 34684 = -24*p - 1528. What is the units digit of p?
9
Suppose -2*k - 2*k - 3*m + 24347 = 0, 0 = -m + 5. What is the units digit of k?
3
Let v(z) = -3*z**2 - 11*z - 12. Let u be v(-7). Let c be u + 3 + (-3 - -4). Let f = -7 - c. What is the tens digit of f?
7
Suppose -b + 0*b - 48 = -2*q, -3*q = 3*b - 72. Suppose f = -3*f - q. Let z(k) = -14*k - 8. What is the tens digit of z(f)?
7
Let v be (4 + 809 + 2)*(-8)/10. What is the units digit of v/5*20/(-32)*4?
6
Let z be 4/6 - (1 - (-1)/(-3)). Suppose 4*s = -2*w - 2*w + 588, z = -5*w + 2*s + 742. What is the tens digit of w?
4
Let j(f) = -2*f**2 - 6*f + 32. Let q(y) = y**2 + y + 1. Let c(a) = -j(a) + 2*q(a). What is the hundreds digit of c(-11)?
3
Let n = 95 - 49. Suppose n*l - 91 = 45*l. What is the tens digit of l?
9
What is the hundreds digit of ((-32)/(-128) + 35058/(-8))*-1 + 4?
3
Suppose 0 = 4*a - 81 + 1. Suppose -18*j = -a*j + 54. Let w = 56 - j. What is the units digit of w?
9
Let c(d) = 362*d - 378. What is the hundreds digit of c(15)?
0
Suppose 0*b - 2*b + 22 = -4*f, -b - 9 = 3*f. Suppose -19 = 4*y - 5*w, 19 = -b*y + 2*w + 3. What is the units digit of 26/(-4)*y - 9/(-9)?
0
What is the thousands digit of 37596/10 - (52/78)/((-5)/3)?
3
Suppose -51*w - 69*w + 231336 = -w. What is the units digit of w?
4
Suppose -107*q + 87*q = -169280. What is the thousands digit of q?
8
Let j(a) = 61*a + 4. Let k = -33 + 34. Suppose -u = -k - 0. What is the units digit of j(u)?
5
Suppose -2*v + 2*d = -14620, -6*d + 4*d + 29264 = 4*v. What is the tens digit of v?
1
Let t(q) = 10*q**2 + 122*q - 156. What is the units digit of t(-38)?
8
Let g be 4/(-14) + (-7)/((-245)/360). Suppose g*n - 1969 = 2681. What is the hundreds digit of n?
4
Suppose 2*y = -3*y - 0*y + 26025. What is the units digit of y?
5
Let w = -18 + 24. Suppose -w*d = 140 - 494. Suppose -r - 22 + d = 0. What is the tens digit of r?
3
Let m be 4/12*6 - 2. Suppose 5*k + n - 26 = -m*n, -5*k + 27 = 2*n. What is the tens digit of (-3)/(-6)*(k - -21)?
1
Suppose -77*a + 568331 = -75143 + 72904. What is the hundreds digit of a?
4
Let n(u) = 3*u + 12. Let d be n(-4). Suppose d = -b - w - 2, 20 = -5*w. Suppose b*f - 19 = 69. What is the units digit of f?
4
Let l = 347 + -340. Suppose 0 = -3*v - 12. What is the units digit of (-5 + l)/(v/(-78))?
9
Let z = -209 + 213. Suppose 2*s + 3*b = 85, 0 = z*s + 2*b + 2*b - 176. What is the tens digit of s?
4
Let o = 11473 - 4964. What is the thousands digit of o?
6
Suppose -196*u + 192*u = -8556. What is the tens digit of u?
3
Let m be (0 - 1)*231/(-7) - -1. Let j = m - 29. Suppose -p = -0*p + j*o - 86, -252 = -4*p + 3*o. What is the tens digit of p?
6
Let q(j) = -j**2 + 18*j + 27. Suppose g - 76 = -3*g. Let c be q(g). Suppose c*k = 9*k - 55. What is the units digit of k?
5
Suppose 5*m + 3*i + 1283 = 0, 6*m - m - 4*i + 1276 = 0. Let y = 64 - m. What is the units digit of y?
0
Let j(c) = 16*c**2 - 32*c - 192. What is the thousands digit of j(-16)?
4
Let q(b) be the second derivative of 4/3*b**3 + 23/2*b**2 + 13*b + 0. What is the tens digit of q(6)?
7
Let i be (-8)/(64/(-3))*8. Let s be ((-12)/(-18))/(4/18). Suppose i*z = -s*k + 168, -4*z + 172 = -z + k. What is the units digit of z?
8
Let g(q) = q + 6. Let r be g(-5). Suppose 7*p - r = -1. Suppose -5*u + p*u + 480 = 0. What is the tens digit of u?
9
Let g = 69 + -50. Let l = -19 + g. Suppose l = -t - 6 + 45. What is the units digit of t?
9
Let p(h) be the first derivative of -2*h + 25/2*h**2 - 6. What is the tens digit of p(4)?
9
Suppose -5*f - 4 = 2*w - 2, 30 = 5*w - 5*f. Suppose w*x = 54 + 418. Suppose 0*m = -4*j + 5*m + x, -4*j = 3*m - 102. What is the tens digit of j?
2
What is the hundreds digit of 15*((-7)/(420/(-38524)) + 4/12)?
6
Let f(a) = -a**2 + a - 1. Let u(m) = 7*m**2 - 13*m + 8. Let c(j) = -2*f(j) + u(j). What is the hundreds digit of c(6)?
2
Let s(o) = 2*o**2 + o - 1. Let g(r) = -r**3 + 14*r**2 - 10*r. Let q(n) = -g(n) + 6*s(n). What is the units digit of q(4)?
0
Let z(m) = -14*m**2 + 4*m + 2. Let g be z(-3). Let i be g/(-3)*30/20. Suppose -7*x + 607 = i. What is the tens digit of x?
7
Suppose -10726 = -33*t + 98861 + 102735. What is the hundreds digit of t?
4
Suppose 25*v + 4*v = 214107. What is the units digit of v?
3
Let a(n) = n - 15. Let l be a(0). Let s be (l/(-1))/((-12)/8 + 3). Suppose -70 = s*y - 11*y. What is the tens digit of y?
7
Let p = -21 + 24. Suppose p*y = -a + 241, 3*a - 15 + 82 = y. Suppose z + 6*q - 44 = q, 2*z = -q + y. What is the units digit of z?
9
Let k = 78 + -61. Suppose -240 = 16*m - k*m. What is the units digit of m?
0
Let c(h) = h**2 + 3*h + 1232. What is the thousands digit of c(0)?
1
Suppose 4*s - 17*x - 1767 = -18*x, -2*s + 885 = x. What is the tens digit of s?
4
Let p be 6/(-4) - (-2394)/(-12). Let b = -15 - p. What is the units digit of 22/11 + b/3?
4
What is the tens digit of (-1919328)/(-228) + (-10)/95?
1
Let j be ((-4)/(-6))/(6/45). Suppose j*i + 4*b = i - 16, -6 = 4*i + 2*b. What is the tens digit of (117/27)/(i/6)?
2
Let k(w) = -6*w + 4 - 3 + w**2 + 8*w. Let p be k(-5). Let o = 64 - p. What is the units digit of o?
8
Suppose 7*k - 2*k = -215. Let w = k - -45. What is the units digit of 4 - w*(1 + -4)?
0
Let p be 9*((-16)/(-3) + -6). What is the hundreds digit of (-596)/(-3) + 7/(63/p)?
1
Suppose -53*b - 4362 = -56*b. Suppose 26 = 4*c - b. What is the hundreds digit of c?
3
Let b(r) = -20 + 276*r + 281*r - 590*r. What is the units digit of b(-7)?
1
Suppose -5*r = 351 - 21. Let a(n) = -4*n**2 - 56*n - 2. Let z be a(-16). Let k = r - z. What is the tens digit of k?
6
Let w(z) = 4*z**3 - 7*z. Let t(u) = 1 + 6 - 2*u + 0 + u. Let n be t(4). What is the units digit of w(n)?
7
What is the tens digit of -6 + 6568 + -1 + 11?
7
Let q(l) = 3*l. Let b be q(1). Let o(u) = -39*u + 4. Let w be o(b). Let t = 202 + w. What is the units digit of t?
9
Let w(v) = -1550*v - 54. What is the hundreds digit of w(-6)?
2
Let a(x) = -6*x + 8*x + 41*x**2 + 211*x**2. What is the tens digit of a(1)?
5
Let w be (18/(-4))/(37/74). Let i(c) = -c**3 - 5*c**2 + 8*c + 1. What is the hundreds digit of i(w)?
2
Let k(g) = -g**3 + 5*g**2 + g + 1. Let h be k(5). Let f = h - 3. Suppose f*b - b = 82. What is the tens digit of b?
4
Let l(z) = -6*z**2 - 3*z + 101. Let a(u) = 3*u**2 + 2*u - 51. Let t(g) = 5*a(g) + 2*l(g). What is the units digit of t(7)?
2
Let x = 86 + -80. Let o(m) = m**3 - 2*m**2 + 10*m - 8. What is the hundreds digit of o(x)?
1
Let x(v) = 3*v**2 - 84*v - 51. What is the hundreds digit of x(-33)?
9
What is the units digit of (-24850)/213*(-876)/14?
0
Let f = 801 - 407. Suppose -3*r + 4*p = -f, 11*r + 2*p = 8*r + 406. What is the units digit of r?
4
Let p(j) = -3*j**3 - j. Let h be p(-1). Let v be (2/h + -2)*16/(-12). Suppose 0 = -3*t + v*r + 154, 0 = -2*t - 2*r - 2*r + 76. What is the units digit of t?
8
Suppose 3*l - 3 = -3*w, 3*l - l - w + 7 = 0. Suppose m = -3*p + 159, -5*m + 0*p = -3*p - 777. What is the tens digit of (l/(-6))/(2/m)?
2
What is the hundreds digit of (((-510)/119)/((-4)/504))/((-2)/(-2))?
5
Suppose 3*y + 7*y - 20349 = 78111. What is the hundreds digit of y?
8
Let d(q) = -q**3 - 3*q**2 + 4*q - 2. Let b be d(-4). Let r(c) = -c + 1. Let x be r(b). Suppose -126 - 90 = -x*f. What is the tens digit of f?
7
Let v = 10326 - 3678. What is the thousands digit of v?
6
What is the thousands digit of (-2 - 68244/(-48)) + (-5)/(-4)?
1
Suppose t - 12 = -0*t. Suppose 32 = t*d - 4*d. Suppose d*x = 4*n + x - 232, 0 = x - 4. What is the units digit of n?
1
Let n = 3698 - 2953. What is the tens digit of n?
4
What is the hundreds digit of (-1 + (-13)/(-26))/(-1 - (-12258)/12260)?
0
Let h(j) be the third derivative of 79*j**5/12 + 59*j**2. What is the tens digit of h(-1)?
9
What is the tens digit of (-4476 - (4 + 0)/(-2))/(1/(-1))?
7
Let g be (-9)/6*12/(-9). Suppose 3*f + 3*b - 16 = -g*f, 4*f - 8 = -4*b. Suppose -f*w = 3*m + 68 - 343, -2*m = -2*w - 178. What is the units digit of m?
0
Suppose x = 0, 1517 = 4*i + 3*x - 1643. Let q = -558 + i. Suppose -7*y = -q - 13. What is the units digit of y?
5
Let o(u) = -49*u + 3. Let q(a) = a**2 - 7. Let y be q(3). Suppose f + 3*f = -2*p - 16, -y*f = 3*p + 16. What is the units digit of o(f)?
1
Let o(x) be the second derivative of -x**5/20 + 5*x**4/3 - 8*x**3/3 - 6*x**2 - x - 6. What is the units digit of o(18)?
8
Let h be 10/50 + 3989/5. Let t = h + -451. What is the tens digit of t?
4
What is the hundreds digit of (-3)/3 - 16590/(-4)*(-4)/(-3)?
5
Suppose 151*d - 154*d - 9 = 0. Let f = -6 + 3. What is the units digit of f/15 + ((-484)/(-20) - d)?
7
What is the thousands digit of 315/135*9*253?
5
What is the hundreds digit of (-115408)/(-19) + (13 - (-2490)/(-190))?
0
Let r(o) = -20*o**3 - o**2 - o - 1. Let t = -1 + 4. Let a(z) = -z**2 + 5*z - 7. Let x be a(t). What is the units digit of r(x)?
9
Suppose 0 = -2*h - 2*w - 82, -h + 2*w - 16 = -2*w. Let f = -37 - h. What is the units digit of -3 - (-1 + -65 - -3) - f?
1
Let r be 0/((-6)/(-9 - -3))*-1. Suppose 3*f = -f + 16. Suppose -i + 54 - f = r. What is the tens digit of i?
5
Let z(r) = 4*r**3 + 30*r**2 - 15*r + 5. Let i(p) = -3*p**3 - 29*p**2 + 14*p - 4. Let v(g) = -6*i(g) - 5*z(g). What is the tens digit of v(10)?
0
Suppose -29*v = -21*v - 42872. What is the tens digit of v?
5
Let h(z) = 4 - 6*z**2 - z**3 + 20 + 0 + 20*z**2 + 11*z. What is the hundreds digit of h(13)?
3
Let v(u) = 6*u**2 - 5*u - 3. Let x be v(-2). Let z(a) = -2*a**3 + 62*a**2 + 10*a + 24. What is the hundreds digit of z(x)?
3
Let i(d) = 4*d**2 - 26*d + 115. What is the tens digit of i(-26)?
9
Suppose -2*l - 18021 = -3*r, -2*r = -8*l + 13*l - 12033. What is the units digit of r?
9
Let k(t) = 20*t**2 + 25*t - 177. What is the thousands digit of k(19)?
7
Suppose 3*z + 4*j - 17 = 0, -z - 5*j + 0 - 9 = 0. Suppose -5*q + z = -19. Suppose -233 = -q*a - 35. What is the units digit of a?
3
Let s be (-8)/12 + (-16)/3. Let i(z) = 6 - 2 - 13*z - 2*z**2 - 1 + 0. What is the units digit of i(s)?
9
Suppose -h + 4*u = -5*h + 20840, u = -1. What is the hundreds digit of h?
2
Suppose 4*g - 2185 = 3*v - 0*v, -3*g + 1665 = 3*v. Let q = g - 103. What is the tens digit of q?
4
Suppose -5*z - 120 = -11*z. Let s = z + -2. What is the units digit of 2/(s/61) + 10/45?
7
Let l(j) = 3*j + 80. Let o be l(-26). Suppose -5*g + 960 = -3*h, -o*h - 117 = -5*g + 838. What is the units digit of g?
9
Suppose -28*b = -157*b + 714015. What is the tens digit of b?
3
Suppose 131 + 99 = 2*g. Let a be ((-441)/(-14))/(2/4 - 1). Let d = g + a. What is the units digit of d?
2
Suppose -2*a + 17*o + 181 = 14*o, 0 = -2*a + 4*o + 176. What is the tens digit of a?
9
Let l(q) = q**3 + 18*q**2 - 22*q - 19. Let g be (-19)/95 + 89/(-5). What is the hundreds digit of l(g)?
3
Suppose -3 = 5*w - 23. Suppose 0 = -2*h + j + 813, -5*h + 8*h - w*j = 1222. What is the tens digit of h?
0
What is the units digit of (-2)/22 - (-117000)/286?
9
Let h = 1964 + -986. Suppose -h - 118 = -4*y. Suppose 0 = 2*w + 3*a - 199, -77 = 2*w + a - y. What is the units digit of w?
8
Suppose 70*t - 62923 = 331317. What is the hundreds digit of t?
6
Let n = -1554 + 4561. What is the thousands digit of n?
3
Let p = 15 - 12. Let z(d) = -d**p - 10*d**2 + 2*d + 5*d - 26 + 10. What is the units digit of z(-11)?
8
Let k be (78/(-21) - -2)*-7. Let d(g) = -3121*g**2 - 8*g. Let w be d(1). What is the tens digit of (-3)/k + (w/(-12))/7?
3
Suppose -48*b + 49 + 95 = 0. What is the units digit of b?
3
Let w(f) = 1184*f + 55. What is the thousands digit of w(3)?
3
Let d = 34 - 33. Let z be 61 - (-2 - (d + 1)). Suppose 5*l = -2*j + z, -j = -2*j. What is the units digit of l?
3
Let a be 68/14 - -2 - 6/(-42). Let v(c) = -c + a*c**2 - c**3 + 1 - 3*c - 10*c**2. What is the units digit of v(-4)?
3
What is the units digit of 36/((567/(-342))/(-21))?
6
Suppose 2*v - v + 3*l = 15, -9 = v - 3*l. Let k be 3/(3/v)*2. Suppose k*y - 2*y - 316 = 0. What is the tens digit of y?
7
Let d(b) = 27*b**2 + 170*b - 1519. What is the thousands digit of d(9)?
2
Let o(x) = x**3 + 42*x**2 + 78*x - 31. What is the units digit of o(-40)?
9
Let m(o) = 362*o**2 + 42*o + 155. What is the hundreds digit of m(-5)?
9
Let h(j) = 351*j**3 - 3*j**2 - 5*j + 6. What is the units digit of h(2)?
2
Let q be (400/(-15))/(6/(-405)). Suppose 4*x + x = -5*d + q, -2*d = -2*x + 740. What is the tens digit of x?
6
Suppose -4*j + 3*o = -88, -6*j + 11*j = -o + 129. Let f(x) = x**2 - 11*x + 97. What is the units digit of f(j)?
7
Let k(g) = -g**2 - 13*g + 3. Let s be k(-13). Suppose s*x - 1114 = -0*v + 5*v, -v = -4. Suppose -5*b = -x + 83. What is the tens digit of b?
5
Let h(k) = 2*k**3 + 7*k**2 - 19*k + 5. Let r be h(-6). Let o = r - -78. What is the units digit of o?
7
Let i(o) = 3*o**2 - 40 + 21 + o + 18. Suppose 0 = -2*p + f + 2, f = -4*p - f + 20. What is the units digit of i(p)?
9
Let y(f) = 72 - 46*f - 16 - 36 - 60. What is the hundreds digit of y(-6)?
2
Let i = 4927 - 2735. What is the units digit of i?
2
Let k = -12327 - -18620. What is the thousands digit of k?
6
Let k be ((-36)/24)/((-3)/4). Suppose 0 = -k*g + 491 - 61. Let d = g - 154. What is the units digit of d?
1
Let q(g) = -3*g + 78. Let i be q(30). What is the units digit of 7/(42/i) + 6?
4
Suppose 5*h + 4 = -1. What is the units digit of 257 + 6 - h/((-2)/(-2))?
4
Let i(n) = -6*n**3 - 3*n**2 - 24*n + 1. Let m be i(-7). Suppose l + 4*l = m. What is the units digit of l?
6
Suppose 2*g - 7 = 7. Let f(o) = -o**2 + 6*o + 7. Let q be f(g). Suppose 8*k + 88 - 816 = q. What is the units digit of k?
1
Suppose -12*y = -13*y + 6. Suppose -4*a - 2 = y, -o + 67 = a. Suppose 3*k - 2*g - 60 = 0, 0 = 4*k - g + 2*g - o. What is the tens digit of k?
1
Suppose 35102 = -5*q + 219107. What is the tens digit of q/90 + 3/30?
0
Let l(d) = 4*d + 8. Let r be l(-1). What is the tens digit of r/12*3*15?
1
Suppose -2*o - 3*v = -5*v - 12, 2*o = -v + 3. Suppose -3*f + 209 = w, 4*f - 4*w - 48 = o*f. Suppose -f = -q + 15. What is the tens digit of q?
8
What is the units digit of (4 - (-4146)/12)/(10/(20/3))?
3
Let u = 12 + -15. Let a be (-2)/7 + (u - (-138)/(-7)). Let p = a + 72. What is the units digit of p?
9
Suppose 4*x + 5*h = -24 + 14, -3*h - 6 = 3*x. Suppose -3*b + x*b = 4*l - 695, 5*b - 178 = -l. What is the hundreds digit of l?
1
Suppose -2*y + 4*n + 14 = 2, 0 = -y + 5*n. Let f = y - 7. Suppose f*h = -2*h + 370. What is the tens digit of h?
7
Let t(j) = -j**3 - 9*j**2 + j + 11. Suppose -k - 21 = 2*f, f - 8 = -5*k - 14. What is the units digit of t(f)?
2
What is the units digit of (9796 - -6) + ((-10)/14 - 4/14)?
1
Let l be (-27)/(-1)*(0 + -1). Suppose -4 = -27*g + 25*g. Let b = g - l. What is the units digit of b?
9
Let m(u) = 10*u**2 - 60*u - 77. What is the hundreds digit of m(11)?
4
Suppose 2*j - 6318 = -2*k + 1720, -j + 4021 = 2*k. What is the thousands digit of j?
4
Suppose 3*t - 2*x - 4710 = 876, -2*x = 6. What is the hundreds digit of t?
8
Let n be 65 + ((-12)/(-10))/(18/(-45)). Let j = n + 137. What is the tens digit of j?
9
Suppose 3*q = k + 10488, 0 = 8*k - 6*k + 6. What is the thousands digit of q?
3
What is the hundreds digit of (2 - (13 - 2))*-26*(24 - 18)?
4
Let d(q) = 52*q**2 + 19*q + 56. What is the units digit of d(-12)?
6
Let b(s) = 31*s - 19. Let a be b(-11). Let g = a - -744. What is the units digit of g?
4
Suppose -3*v = g + 4*g - 15, -2*v = -3*g + 9. Let i = g - 2. What is the units digit of 3*(-1)/(-3)*i?
1
Let g(p) = -54*p - 135 + 9*p + 162. What is the hundreds digit of g(-9)?
4
Let j = 258 + 376. Suppose j + 146 = 4*b. What is the tens digit of b?
9
Suppose -278188 = -89*c + 55*c. What is the hundreds digit of c?
1
Let m = -44 - -59. Suppose -5*t - m - 10 = 0. Let r = 14 - t. What is the tens digit of r?
1
Suppose 4*b + 3776 = 2*g, g + 5*b = 2737 - 828. What is the units digit of g?
4
Suppose -44*t + 44770 = -39*t + 3*j, 2*j + 17908 = 2*t. What is the units digit of t?
4
Let k(r) be the first derivative of 1/3*r**3 + 9*r - 1 - 9*r**2. What is the tens digit of k(20)?
4
Let p be 6/(3 + 3) - -1*2. Suppose 0 = 4*c - 4*d - 1156, 0 = -2*d + p*d + 3. What is the tens digit of c?
8
Suppose -4*h - 30 - 58 = 0. Let m = h - -24. What is the tens digit of (3 - m)*3 + 47/1?
5
Let y = -5839 + 10298. What is the thousands digit of y?
4
What is the thousands digit of (8/(-8))/((-3 + (-131920)/(-43975))/1)?
8
What is the units digit of 30/(-80) + 256076/32?
2
Let v(c) = -43*c + 1 - 24*c + 15*c - 28*c. What is the units digit of v(-3)?
1
Let l(y) = -29*y - 34. Let c = -188 + 176. What is the hundreds digit of l(c)?
3
Suppose -w + 6*c + 3243 = 0, -2*w = -0*w + 3*c - 6546. What is the hundreds digit of w?
2
Suppose -8*h = -2*h + 174. Let q(g) = -g**2 - 45*g - 91. What is the tens digit of q(h)?
7
Let h = -5060 - -11542. What is the thousands digit of h?
6
Suppose -b = -3*b + v + 2, -b - 4*v + 10 = 0. Suppose -3*l - 4*y = 6, b*y = 3*l - 7 + 31. What is the units digit of 71 - (-3)/(l/4)?
9
Let y = 2492 - 1477. Suppose 3*x = 5*f + y, -4 = 6*f - 10*f. What is the tens digit of x?
4
Let q = 7578 - 4310. What is the tens digit of q?
6
Let x be ((-3575)/20)/5*-4. Suppose 518 = 3*o + x. What is the units digit of o?
5
What is the hundreds digit of 19246/2 + 0 + (39 - 38)?
6
Suppose -8*t + 6127 - 981 = -6438. What is the tens digit of t?
4
Let a(w) = w**3 - 3*w**2 - 6*w - 7. Let l be a(7). Let v = l - -45. What is the hundreds digit of v?
1
Suppose -10*q + 21 = 201. What is the tens digit of q*(5 - (-175)/(-10))?
2
Let d(o) = -20*o**3 - 17*o**2 - 36. What is the thousands digit of d(-6)?
3
Suppose 5*d = -2*q + 8283, 4*d - 3*d + 8301 = 2*q. What is the units digit of q?
9
Let u(w) = -2*w + 44 + 7*w**2 + 10*w**2 + 2*w**2 - 18*w**2. What is the tens digit of u(-13)?
3
What is the hundreds digit of 5908/(-10)*(-1035)/414?
4
Let y = -219 + 1621. What is the tens digit of y?
0
Suppose -3*a - 5*k = -106, 1 - 2 = k. Let w = -92 + a. Let p = w - -84. What is the units digit of p?
9
Suppose 0 = 4*n - 5*n + 3. Suppose 0 = -2*p - 5*m + 2, 9*p + n*m - 5 = 4*p. What is the tens digit of ((1/(-3))/p)/((-16)/1968)?
4
Let r = 12 - 10. Let u be r*((-15)/6 - -2). What is the units digit of u*(-2)/(-8) - 1485/(-20)?
4
Suppose 26*f - 12*f = 1498. Suppose -264 + f = -i - u, 2*u = 5*i - 771. What is the units digit of i?
5
Let c = -6489 - -12444. What is the units digit of c?
5
Suppose 168 = 6*v - 3*v. Let j be (-410)/(-50) + ((-4)/5)/4. Suppose -2*x + v - j = 0. What is the units digit of x?
4
Suppose 1575*c - 1570*c - 6775 = 0. What is the tens digit of c?
5
Let g = 500 + 288. Suppose -3*n = -4*z + 226 - g, -4*n + 764 = 2*z. What is the units digit of n?
0
Let l be (-9)/3 - (-2 + -2). Let s = 2 + l. Suppose -5*d = -0*d + s*z - 230, -5*d = 2*z - 225. What is the units digit of d?
3
Let g = -9021 - -14171. What is the hundreds digit of g?
1
Suppose 2*x - 8316 = -4*q, -4*q = -q + 4*x - 6247. What is the thousands digit of q?
2
Let s(p) = 24*p**2 - p - 2. Suppose -3*z + 9*z + 6 = 0. Let a be s(z). Suppose -j = 5, 2*h - a = 4*j + 185. What is the tens digit of h?
9
Suppose 0 = -3*c - 4*o + 2018, c - 5*o + 267 - 908 = 0. Suppose 0 = -30*m + 27*m + c. What is the tens digit of m?
2
Suppose 10 - 4 = 3*d. Suppose -d*l = 2*l - 16. Suppose 2*g - 106 = 4*j, 3*j + 2*j - 160 = -l*g. What is the units digit of g?
5
Let n(v) = -10*v - 17. Suppose -15*g - 135 = -18*g. Suppose g + 9 = -6*m. What is the tens digit of n(m)?
7
Suppose -4*t - 3*v + 6*v + 126 = 0, -t - 5*v = -20. Let j be -1*6/4*-2. Suppose t + j = h. What is the tens digit of h?
3
Let v = -130 + 134. Suppose -4*u = v*j - 0*j - 996, 3*u + 2*j - 752 = 0. What is the tens digit of u?
5
Suppose -92838 = 32*m - 404966. What is the thousands digit of m?
9
Suppose 0 = 2*n + 19 - 47. Suppose -146 = -n*o + 2136. What is the hundreds digit of o?
1
Let i(g) = 4*g - 24. Suppose 0 = -0*n - 4*n + 24. Let d be i(n). Suppose d*c - 5*c + 470 = 0. What is the tens digit of c?
9
Let y be -308*6/(-12) - 5. Suppose 10 = b - y. What is the units digit of b?
9
Suppose -6*s + 1575 - 219 = 0. Suppose -y + 2*b + s = -76, -3*b + 3 = 0. What is the hundreds digit of y?
3
Let y(a) = 8*a**3 + 8*a**2 + 7*a + 14. Let f(s) = -15*s**3 - 16*s**2 - 15*s - 28. Let t(l) = 6*f(l) + 11*y(l). What is the units digit of t(-6)?
8
Suppose 3*k + 1 = 37. Suppose -k*l - 626 = -2030. What is the tens digit of l?
1
Let o = 16907 + -8819. What is the units digit of o?
8
Suppose 4*p = 2*d - 44, -3*d + 8 = -2*p - 38. Suppose 4*m - 10*s = -d*s + 1618, 2*m + 3*s - 811 = 0. What is the units digit of m?
4
Suppose -n + 4 = 2*h, -4*n = 12*h - 9*h + 4. Let a(u) = -u**2 + 8*u - 3. Let l be a(5). What is the units digit of 1/(l/n)*-132?
4
Suppose 98*l + 1656 = 101*l. Suppose -3*b - 209 = -4*b - 4*n, -3*b + l = -3*n. What is the units digit of b?
9
Let c be (-1 - (-26)/8)*-24. Let k = c - -24. Let t = k - -124. What is the units digit of t?
4
Let b(u) = u**2 - 6*u + 37. Suppose 0 = -24*m + 35*m + 176. What is the tens digit of b(m)?
8
Suppose 0 = 2*m + 4*w - 18640 + 1230, 3*m - 26108 = w. What is the tens digit of m?
0
What is the thousands digit of (324/90)/((-12)/(-14920))?
4
Suppose n = 11*n + 542940. What is the hundreds digit of (-4)/(-42) + n/(-126)?
4
Let a be -3*(32/12)/(-4). Suppose -4*k - a*c = -826, -4*c + 5*c + 612 = 3*k. Suppose -5*x = -0*x - k. What is the units digit of x?
1
Let v = 223 + -2. What is the units digit of v/2 - 4/8?
0
Let l(p) = -900*p - 463. What is the hundreds digit of l(-4)?
1
Let d(i) be the third derivative of 89*i**5/60 + i**4/12 + i**3/6 + 21*i**2 + 1. What is the units digit of d(-2)?
3
Let h(n) be the first derivative of 106*n**3/3 + 9*n - 23. What is the tens digit of h(-2)?
3
Let i(u) = -16*u + 2134. What is the hundreds digit of i(10)?
9
Let q(c) be the third derivative of c**6/120 - 7*c**5/60 - c**4/8 - 2*c**3/3 - 5*c**2. Let t be q(7). Let b = 35 + t. What is the tens digit of b?
1
Let x(u) = 45*u**3 - u**2 + 3*u - 11. Let o be x(3). Suppose -5*y = 4*z - o, y = z - 6*z + 1484. What is the tens digit of z?
9
Suppose -d = -5*t + 3*d + 3, 9 = 2*t + d. Suppose o + 206 = t*o. Let u = o - 47. What is the units digit of u?
6
Suppose 1177*l - 1214*l + 238502 = 0. What is the hundreds digit of l?
4
Let a(o) = 39*o**2 + 9*o + 240. What is the tens digit of a(-12)?
4
What is the units digit of 12 - 10 - -8234 - (-8)/1?
4
Let c(p) = -7*p + 1699. What is the units digit of c(-63)?
0
Suppose 23 - 15 = -4*a, 0 = 4*q - a - 39862. What is the hundreds digit of q?
9
Suppose -f + 6946 = p, f - 2443 = p + 4505. What is the units digit of f?
7
Let p be 1*-1 - (2 - 114). Let k(h) = h - 1. Let t be k(-36). Let b = t + p. What is the tens digit of b?
7
What is the tens digit of 9/27*-9*-1599?
9
Let f(v) = -v**3 + 31*v**2 - 24*v - 8. Let n be f(30). Suppose 4*a = 3*a - 92. Let d = n + a. What is the tens digit of d?
8
Suppose -z + 39 = -2. Let h = -41 + z. Suppose h = -g + 3*g - 196. What is the tens digit of g?
9
Let s = -21 + 57. Let i be (s/(-16) - -2) + (-309)/(-4). Suppose i = k - 2*p, -4*k - p = -0*p - 290. What is the tens digit of k?
7
Let n = 49 - 55. Let u(o) be the third derivative of -o**6/120 - 7*o**5/60 - 7*o**4/24 + 13*o**3/6 - 12*o**2. What is the units digit of u(n)?
9
Let j = 34 - 52. Let n = -45 - j. Let h = n + 30. What is the units digit of h?
3
Suppose 4*y - 18 = 2, -i = -2*y - 206. Suppose -18*p = -33*p + 45. Suppose -p*l + 6 + 155 = q, 0 = -4*l - q + i. What is the units digit of l?
5
What is the tens digit of (1108/(-12)*5)/((-39)/234)?
7
Let u be 15/40 + (-106)/(-16). Suppose u*x = 2*x - 3*k - 9, 8 = -2*x + k. What is the tens digit of (x/(-2))/((-18)/(-1128))?
9
Let g(m) = m**2 + m**3 - 162*m + 8 + 162*m. Let s be g(0). What is the tens digit of 12*s + 0 - -1?
9
Let n(k) be the second derivative of -203*k**3/6 - 13*k**2/2 - 7*k. What is the hundreds digit of n(-2)?
3
Let p = -193 - -99. Suppose 440 = 7*r - 18*r. Let k = r - p. What is the tens digit of k?
5
Suppose 13*l - 2538 = 18431. What is the units digit of l?
3
Let u(q) = -20*q - 13. Let v be u(-14). Suppose -2*r = -k + 97 + v, -5*k + 2*r = -1828. What is the units digit of k?
6
Suppose 0 = -5*n + 4*x - 111, 4*n - 3*x + 2*x = -91. Let l(w) = -w**2 - 30*w + 10. What is the tens digit of l(n)?
7
Let p = -32 + -10. Let a = 105 + p. Suppose -42*h + 41*h + a = 0. What is the tens digit of h?
6
Suppose -4*q + i = -4 - 18, 3*i + 18 = 4*q. Suppose 5*j = -q*g + 2*g + 33, -5*j + 2*g + 51 = 0. What is the units digit of j?
9
Let x(k) be the third derivative of k**5/30 - 3*k**4/4 + 5*k**3/3 + 38*k**2. Suppose 2 = 2*y - 22. What is the units digit of x(y)?
2
Suppose 0*d = 4*d + 44. Let c = -19 + d. Let w = -3 - c. What is the tens digit of w?
2
Suppose -23*c = -16*c - 2079. Suppose 5*w = -b + 387, -2*b = 4*w + 3*b - c. What is the units digit of w?
8
Let j = 1 + 9. Suppose -3*i = -4*s - 20, -2*s + 0*i - j = 4*i. What is the units digit of s*-1*21/15?
7
Let b(f) = f**3 + 10*f**2 - 9*f + 7. Let d be b(-10). Let t be 19 + 6 + -1 + -8 + 5. Suppose d = r + t. What is the units digit of r?
6
Let w = 4921 - -724. What is the tens digit of w?
4
Let y = 618 + -348. Let g(o) = 2*o - 27. Let c be g(16). Suppose -c*i - 3*t + y = 0, -i - 2*t + 54 = -6*t. What is the units digit of i?
4
Let h = 15316 + -5871. What is the tens digit of h?
4
Suppose j + 21*j - 7*j - 13995 = 0. What is the tens digit of j?
3
Let q be (-2)/1*(-21)/14. Suppose 7*i - 3*i + q*m = 94, m = 4*i - 86. Let n = i + 6. What is the units digit of n?
8
Suppose -7*n = -1666 - 2226. Let m = 297 - n. What is the tens digit of (-4)/(-6)*(4 - m/2)?
8
Let x = 40 + -10. Suppose -7*u - x = -8*u. Suppose -l + 9*s = 4*s - u, 9 = l + 2*s. What is the units digit of l?
5
Let t(g) = 3*g**2 + 10*g + 5. Let d(f) = -f**3 - 5*f**2 + 8. Let c be d(-5). Suppose 2*x - 4 = -q, 2*q + x = 3*q + c. What is the units digit of t(q)?
3
Let y = 2444 - -4872. What is the tens digit of y?
1
Let p = 2960 - 2549. What is the units digit of p?
1
Suppose 0 = -5*r + 2045 + 470. Suppose 2*u - 35 = 5*y - r, 2*u + 8 = 0. Let b = y + -55. What is the tens digit of b?
3
Let l(i) = i**3 - 30*i**2 + 2*i - 68. Let w be l(30). What is the hundreds digit of 413 + (-11)/(22/w)?
4
Let t(j) = j**3 + 25*j**2 - 53*j - 116. What is the thousands digit of t(-19)?
3
Let o be 1 - (80/2)/(-2). Suppose 2*r + 3*s - 47 = -0*s, 2*s = -r + o. Let y = 104 - r. What is the tens digit of y?
7
Suppose -3*m + 5 + 25 = 0. Suppose 44*i - 49*i = m. Let q(t) = 18*t**2 - 4*t - 6. What is the tens digit of q(i)?
7
Let z(s) = -s**2 - s + 4. Let f be z(-2). Let v(q) = 4*q**2 - 6*q**f - 13 - 5*q + 4*q**2. What is the tens digit of v(-6)?
8
Suppose -467*w = -502*w + 277480. What is the hundreds digit of w?
9
Let t(r) = -r**3 + 8*r**2 + 10*r - 7. Suppose 0*l + l - 9 = 0. Let f be t(l). Suppose 5*b - 58 = d, b - f*d - 4 = 4. What is the tens digit of b?
1
Let y be 27/6*(-250)/(-15). What is the units digit of (-1 + 18/(-2))*(-450)/y?
0
Let i(d) = -4574*d - 133. What is the hundreds digit of i(-1)?
4
What is the thousands digit of 2 + (-4 - 228*114/(-4))?
6
Suppose 2*a - 61 = -5*g, 5*a + 2*g - 144 = -2*g. Suppose a = -5*w - 3*r, -5*w + r - 16 = 8. Let m(t) = 4*t**2 + t - 13. What is the units digit of m(w)?
2
Let t be (-2)/2 - (-2 + 1). Suppose -k + t + 0 = 0. Suppose 3*o - o - 184 = k. What is the tens digit of o?
9
Suppose 0 = o + 2 - 3. Suppose r = -5*q - 5, 5*q + 4*r = -o - 4. What is the tens digit of (-244)/(-7 - -3) + q?
6
Let n be (3/2)/((-12)/(-80)). Let u be (-3)/(-1)*1 + n. Suppose 0 = u*g - 5*g - 448. What is the tens digit of g?
5
Suppose -4*q = -q + 18. Let i be (-42)/7*5/q. Suppose 5 - 330 = -i*h. What is the tens digit of h?
6
Let b(z) = z**3 - 20*z + 29. What is the tens digit of b(7)?
3
Let q(z) = 8*z**2 - 204*z - 210. What is the thousands digit of q(50)?
9
Suppose 3*b + 103*s - 101*s - 17164 = 0, -5*b - 3*s = -28607. What is the units digit of b?
2
Suppose 0 = 15*r - 10*r - 35. Suppose 1450 = r*z - 237. What is the hundreds digit of z?
2
Let g be 2556/45*(-1 + -4). Let o = 632 + g. What is the tens digit of o?
4
Let h(a) = -a**3 + 27*a**2 + 14*a + 26. Let g(v) = -13*v**2 - 7*v - 13. Let x(j) = 5*g(j) + 2*h(j). What is the hundreds digit of x(-7)?
1
Let k = 313 - 143. Let c be (8/12 - 7)*(-1 + -14). Let x = k - c. What is the units digit of x?
5
Suppose 5*t = 2*k - 88, 0 = -5*k - 2*t + t + 220. Let d be (k/(-55))/((-2)/10). Suppose a - 98 = d*b, -3*b = 5*a - 0*b - 467. What is the units digit of a?
4
Let y(g) = 301*g**2. Suppose 0 = -2*l + 5*x + 3, -3*l = -5*x - 0 - 2. What is the units digit of y(l)?
1
Let b = -169 - -252. Suppose -6*g + b + 1147 = 0. What is the units digit of g?
5
Suppose -136714 = -40*p - 35754. What is the units digit of p?
4
Let q(s) = -5*s**2 - s + 26. Let z be q(5). Let u = z + 248. What is the units digit of u?
4
Let z(w) = -16 + 10*w**2 - 15*w + 13*w**2 - 24*w**2. Let j be z(-14). What is the tens digit of j/1 - 336/(-6)?
5
Suppose 0 = -4*b + w + 1428, 4*w = 8*b - 3*b - 1796. Suppose -2*v + 3*v - 5*h + 81 = 0, -4*h = -4*v - b. Let i = 1 - v. What is the units digit of i?
2
Let a = -124 - -124. Let y(m) = -m**2 - m + 233. What is the tens digit of y(a)?
3
Suppose 0 = p + 4*f - 10, -2*p + 16 = 3*p + 3*f. Suppose -3*c + p*d - 6*d = -18, 0 = -4*d. Let m(x) = -x**3 + 6*x**2 + 2*x - 7. What is the units digit of m(c)?
5
Suppose -190*m = -193*m + 645. Let p = -204 + m. What is the units digit of p?
1
Let i(z) = -z + 23. Let x be i(18). Suppose 0 = -x*b + 6*b - 115. What is the units digit of b?
5
Let t be 455/104 + (-6)/(-16)*-1. Suppose 3*k - y = 1170, -t*y + 1185 = k + 2*k. What is the tens digit of k?
9
Let h(q) = q**3 - 6*q**2 + 5*q + 4. Let d be h(5). Suppose -d*n = -626 - 618. What is the units digit of n?
1
Let o be ((-24)/(-20))/(1/1350). Suppose -17*x + 998 + o = 0. What is the tens digit of x?
5
Let f = 17665 + -10212. What is the tens digit of f?
5
Let f(c) = 9*c + 9. Let w be (-2 + (-125)/(-10))/((-9)/(-12)). What is the units digit of f(w)?
5
Let b = -8037 + 15298. What is the units digit of b?
1
Let w(r) = 126*r - 60. Let b be w(3). Suppose p = -3*o + b, p - 3*o - 437 + 113 = 0. What is the units digit of p?
1
Let l(y) = 301*y - 237. What is the units digit of l(16)?
9
Let n(t) = 13*t**2 - 21*t + 388. What is the thousands digit of n(11)?
1
Suppose -9*b + 102932 = -0*b + 36737. What is the thousands digit of b?
7
Let y(p) = 16*p + 55. Let w be y(6). Suppose 16 = -4*v, w = 2*c + v - 97. What is the hundreds digit of c?
1
Suppose -41*d = -37*d. Suppose 4*l = g - 390 - 11, d = -4*g + 3*l + 1604. What is the tens digit of g?
0
Suppose -4*m + 0*m - 4 = 0. Let t be 2/m + (3 - 7). What is the units digit of 2/t*3 - -83?
2
What is the tens digit of (2 - (-129 + -6))*11?
0
What is the units digit of (-752 + -9)*(1*-35)/5 + 4?
1
Let o = 5 + -123. Let d = o + 214. Let q = d - 21. What is the tens digit of q?
7
Let l = 1794 + 3255. What is the units digit of l?
9
Let l = -206 + 215. Suppose l*n - 3032 - 28 = 0. What is the units digit of n?
0
Suppose -4*q - 5*l = -2*q - 779, 4*l = q - 396. Suppose 31*h = 35*h - q. What is the tens digit of h?
9
Suppose 29968 = 3*d + 4*y, 200*y - 203*y = -4*d + 39999. What is the thousands digit of d?
9
Let m(s) = -s**3 - s**2 - 1. Let n(c) = c**3 + 2*c - 1. Let t(x) = -3*m(x) - n(x). Let p be (-2)/(-3)*(-36)/(-8). What is the units digit of t(p)?
9
Let u be (-3*(-7)/(-6))/(1/(-2)). Suppose 0*b - u*b + 728 = 0. What is the units digit of b?
4
Suppose -214 = -5*d + 81. Suppose a - 10 = -4*a. Let b = a + d. What is the units digit of b?
1
Let y be (36/(-30))/(1/5). Let j be (y/(-8))/((-6)/(-72)). Suppose -j*a = -7*a - 128. What is the units digit of a?
4
Suppose 2*v + 4*c = -844, 5*c + 1732 = -4*v + 8*c. Let k = -112 - v. What is the units digit of k?
8
Let c(k) = 67*k - 14. Let t be c(1). Suppose 0 = t*l - 58*l + 210. What is the tens digit of l?
4
Suppose -3*h - 5*d = -8*h + 810, -h - 3*d = -162. Suppose 0 = -t - t + 10. Suppose t*f + f = h. What is the units digit of f?
7
Let m = 2 + 15. What is the units digit of m?
7
Suppose -43 = -2*w + 81. Let q = -58 + w. What is the units digit of q?
4
Let y be (1*1/3)/(1/15). Suppose -908 = -i - 3*i + 4*k, -4*i + 881 = y*k. What is the tens digit of i?
2
What is the tens digit of 421632/183 - 1/(-1)?
0
Let p be (4/10)/(2/10). Suppose -21*z = -24*z + 18. Suppose 2*u + z = 0, u + 192 = p*k - 3*u. What is the tens digit of k?
9
What is the tens digit of (4/(-12))/1 - (-139810)/66?
1
Let a(o) be the first derivative of -13 + 0*o**2 + 1/3*o**3 - 11*o. What is the units digit of a(9)?
0
Let y(n) = 25*n - 33. Let c be y(7). Suppose j - 780 = -5*l, -l - 5*j = -2*j - c. What is the tens digit of l?
5
Suppose 411600 = 40*m - 4*m + 6*m. What is the units digit of m?
0
Suppose 3*o = 5*u + 15582, -8*o + u + 46746 = o. What is the thousands digit of o?
5
Suppose -17*r + 6*r + 33 = 0. What is the tens digit of (-2 + 0)*r/((-18)/96)?
3
Suppose -3*o = w + 3*w - 29634, 0 = 3*w + 4*o - 22222. What is the hundreds digit of w?
4
Let d = -166 + 203. Let f = d - -250. What is the tens digit of f?
8
Let r = 204 + -262. Suppose -v + 5*a = -5*v + 380, v + 5*a - 80 = 0. Let x = r + v. What is the tens digit of x?
4
Let q be -10 + 6 - 18/(-3). Let x(t) = 24*t - 4. What is the tens digit of x(q)?
4
Let m = 1 - 3. Let i be 0 + (132 - (m + 2)). Suppose -s + 7*s = i. What is the tens digit of s?
2
Let t be 9 - (5/30 + 2/(-12)). Suppose 5*h - t*y - 628 = -8*y, 4*y + 387 = 3*h. What is the hundreds digit of h?
1
Let c(t) = 24*t**2 + 3. Let f(i) = -i**2 - i - 1. Let k(q) = c(q) + f(q). Let d be k(1). What is the units digit of -279*(-4)/d*2?
3
Suppose 5*b - c - 5318 = 0, -4*b + 6374 = -5*c + 2128. Suppose 7*y = 11*y - b. What is the tens digit of y?
6
Let f(t) = -t**2 + 22*t + 2166. What is the thousands digit of f(0)?
2
Let s = -525 - -1123. What is the hundreds digit of s?
5
Suppose -2*l = 68*z - 65*z - 7477, -3*z = -l + 3725. What is the tens digit of l?
3
Suppose -5*t = -5*r + 36250, 36*r - 21748 = 33*r + 5*t. What is the thousands digit of r?
7
Let k be 11 + -10 - (-621)/1. Suppose 0 = 2*l + 2*r - k - 264, -5*l + 2227 = 2*r. What is the units digit of l?
7
Let o be -1*366*(-6)/18*3. What is the tens digit of ((-3)/2)/((-3)/o)?
8
Let n(q) = q**2 - 4*q + 1. Let m be n(2). What is the units digit of 170/15 - (m + (-20)/(-6))?
1
Let b = 3666 + -701. What is the tens digit of b?
6
Let n(v) = -3*v - 44. Let q be n(-18). Let f = q - -393. What is the tens digit of f?
0
Let p be ((-54)/12)/((-3)/(-488)). Let s = p - -1056. What is the units digit of s?
4
Let s(o) be the second derivative of 9/2*o**2 - 10*o + 0 - 1/6*o**3. What is the units digit of s(-11)?
0
What is the units digit of 3064*(-65)/(-52) - -12?
2
Let b(m) = m**3 + 8*m**2 + 4*m - 5. Let x = -53 - -31. Let l = x - -17. What is the units digit of b(l)?
0
What is the tens digit of 89869/39 - 9/27?
0
Let h = -5503 - -9753. What is the units digit of h?
0
Let j(h) be the second derivative of 7*h**4/2 + h**3/6 - h**2 + h + 45. What is the units digit of j(1)?
1
Let l(t) = 3*t - 7. Let k be l(-7). Let c be 20/35 + 4/(-7) + -18. Let z = c - k. What is the units digit of z?
0
Suppose 0 = -l + 2*w + 7807, -2*l + w + 17680 - 2057 = 0. What is the hundreds digit of l?
8
Let g = 221 + -148. Let k = -10 + g. What is the tens digit of k?
6
Let f = 12 + -26. What is the hundreds digit of (-4490)/15*(f/4 - -2)?
4
Let f = 345 + -700. Let w(h) = 5*h. Let c be w(1). What is the tens digit of c/20 - f/4?
8
Suppose -3*d + 5457 - 4133 + 27833 = 0. What is the units digit of d?
9
Let a(l) = 2*l**3 + 21*l**2 - 11*l. Let j be a(-9). Suppose 0 = -4*w - 2*u + 179 + 93, -5*w - 2*u = -j. What is the units digit of w?
0
Let a = 21983 - 13643. What is the tens digit of a?
4
Suppose -2*n - 2 = -4, 0 = -5*m + 4*n - 204. Let q be (m/(-25))/(2/10). Suppose -27 = 5*d - q*d. What is the units digit of d?
9
What is the thousands digit of (288/(-27))/((9 + -4)/(-2820))?
6
Let m be 1/2 - 9/2 - -13. Suppose 4*x = 5*c + 1807, 0 = -m*x + 8*x + 5*c + 463. What is the hundreds digit of x?
4
Let w(k) = k**2 - 88 + 4*k - 8*k + 81. Let x be (1 - 2) + (-56)/(-7). What is the units digit of w(x)?
4
Suppose 160*t = 156*t + 1240. Suppose 53*h - t = 48*h. What is the tens digit of h?
6
Let w(r) = 10*r**2 - 4*r + 1. Let p be (-2)/3*75/2. Let s = p + 23. What is the tens digit of w(s)?
4
Let g(q) = 1032*q**2 + q**3 + 18 - 11*q - 1024*q**2 - 3*q. What is the tens digit of g(-8)?
3
Let j be 6/2 - (0 - -802). Let n = 538 + j. What is the tens digit of ((-2)/6)/(262/n + 1)?
8
Suppose -40596 = 35*j - 63*j - 416. What is the tens digit of j?
3
Suppose 4*v + 14*v = 36. Suppose -v*d = -4*d - 4*k + 374, -4*d - 5*k = -748. What is the hundreds digit of d?
1
Let j(a) = -a**3 - 5. Let l be j(-3). Let o be (-4)/l + (-29610)/(-231). Suppose -2*v = -10*v + o. What is the tens digit of v?
1
Let b = 1435 - -1282. What is the units digit of b?
7
Suppose 106*n = -57*n + 1355997. What is the hundreds digit of n?
3
Suppose 3*d + 11 = 14*d. What is the tens digit of 111/(d/((-12)/(-18)))?
7
Suppose 3*k - 52755 = -5*u - 15745, -4*u + 29621 = 5*k. What is the hundreds digit of u?
3
Let g be 5/(15/(-51)) - (-2 - -1). Let d = -11 - g. Suppose d*b = b + 172. What is the tens digit of b?
4
Let k be 11*((1 - 2) + 2 + 0). Let n(q) = -4*q + 2*q + 35 + q - k. What is the units digit of n(-18)?
2
Let b(l) = -l**3 - 2*l**2 + 39*l - 7. Suppose 0 = 11*r - 10*r + 8. What is the tens digit of b(r)?
6
Let j be 2/(-1)*(-1 - 1). Let v be (-40)/16 + (-6)/j. What is the units digit of (-270)/v + 4/(-8)?
7
Let l(s) = 2*s**2 + 3*s + 4. Let n be l(-2). Suppose j - 12 = -n. Suppose -j*f = -3*f - 168. What is the tens digit of f?
5
Let f(a) = -a**3 - 9*a**2 + 11*a + 3. Let j be f(-10). Let d be (-7 + 3 - j) + 0. Suppose 69 = n - 3*c, -d*n = 4*c + 12 - 232. What is the tens digit of n?
7
Suppose 4*k - 38 = -g, 4*g + 4*k = 41 + 51. Let r be 10*12/8*g. Suppose r = -q + 6*q. What is the tens digit of q?
5
Suppose 2*i - g - 9 = 58, -4*i - g + 137 = 0. Suppose -i = -5*s - 19. Suppose s*a - 206 - 61 = 0. What is the units digit of a?
9
Let x(i) = 24*i**2 - 9*i - 6. Let t be x(3). Let u(q) = -2*q - 8. Let a be u(-7). Suppose a*r + t - 627 = 0. What is the units digit of r?
4
What is the units digit of (40 + -22)/(-1 + 5/(6790/1362))?
1
Let x be (32/(-20))/(10/1775). Suppose -60 = -16*b + 11*b. What is the tens digit of x*(1 + (-15)/b)?
7
Let z be (6/8)/(54/144). Suppose 5*t = p + 12, 4*t - 14 = z*t + 5*p. Suppose -5*j + 83 = -t. What is the tens digit of j?
1
Suppose -40 = 5*w + 5*s, 2*w - 10*s + 13 = -15*s. Let d(h) = h**3 + 13*h**2 + 2*h - 9. What is the units digit of d(w)?
7
What is the units digit of 7 - (5*(-10)/(-25) - 8541)?
6
Let f = 3941 - 853. What is the thousands digit of f?
3
Let i = 4887 - -2077. What is the units digit of i?
4
What is the tens digit of (42832/24)/(-5 + (-329)/(-63))?
3
Let j(a) = 10 + 7*a**2 + 3 - 6*a**2 - 8*a + 3*a. What is the units digit of j(4)?
9
Let u(z) = -z**2 + 2*z. Let d(m) = 3*m**2 + 6*m - 3. Let i(f) = d(f) + 2*u(f). What is the units digit of i(-16)?
3
Suppose -25 = 2*r + 31. Let d = 56 - r. Suppose 30 - d = -w. What is the tens digit of w?
5
Suppose -137586 = -29*l - 33028 + 16430. What is the hundreds digit of l?
1
What is the units digit of -10 - 1584/(-168) - (-1)/((-14)/(-106100))?
8
Suppose 4*k - 3*l + 60 = -2*l, 5*k = 4*l - 86. Let h be 3/1 - k*3. What is the tens digit of ((-1422)/h)/((-2)/5)?
7
Let w = -1009 - -915. Let q = 18 + 125. Let n = q + w. What is the tens digit of n?
4
Let m(d) = -d**2 + 19*d - 44. Let x be m(16). What is the tens digit of ((-2)/4)/(2/x)*-301?
0
Let f = 16 + -80. Let b = 94 + f. Suppose 0 = y, u + y = -12 + b. What is the units digit of u?
8
Let w = 189 - -3688. What is the tens digit of w?
7
Suppose -5688 = -h - 4*g, 3*g + 10890 = 5*h - 17435. What is the thousands digit of h?
5
Suppose -24*i = -23*i - 8. Let p = 92 - 52. Suppose 10*c - p = i*c. What is the units digit of c?
0
Let c(x) = -213*x - 918. What is the tens digit of c(-20)?
4
Let x = -488 + 2033. What is the tens digit of x?
4
Let k(u) be the third derivative of u**4/3 + 178*u**3/3 - 18*u**2. What is the units digit of k(0)?
6
Let o(c) = 120*c**3 + 5*c**2 - 17*c + 7. What is the thousands digit of o(4)?
7
Let n be (8/3 + -1)*(9 - 6). Suppose -5*s + 4*z = -2296, -3*s + 0*s + n*z + 1375 = 0. What is the hundreds digit of s?
4
Let v(k) = 2*k**2 + 7*k + 2. Let h be v(-10). Suppose 0 = 4*j - 7*j + h. Let s = 81 - j. What is the units digit of s?
7
Let h be 1 + 8*(5/(-10) + 1). Suppose -5*q = -h*v + 75, -v - 9 = -2*q - 29. What is the tens digit of v?
1
Suppose f = -3*v + 156, -17*f + 15*f + 2*v = -304. Suppose -m + f = -174. What is the hundreds digit of m?
3
Suppose 23*w + 9*w = 71808. What is the hundreds digit of w?
2
Suppose 5*s + 2 + 13 = 0. Let n(h) = h**3 - 7*h - 1. Let v(j) = j**3 - j**2 - 12*j - 1. Let a(o) = -7*n(o) + 4*v(o). What is the tens digit of a(s)?
4
Suppose 0 = -15*o + 47017 + 84484 + 7564. What is the tens digit of o?
7
Suppose 0 = y + d - 11285 + 3027, 3*y - d = 24790. What is the hundreds digit of y?
2
Let v be ((-11)/((-33)/(-2262)))/1. Let x = -396 - v. What is the hundreds digit of x?
3
What is the units digit of (3874/8)/((-3)/(-36)) + 12/3?
5
Suppose 0 = 2*d - 5*t + 42, -136 = 5*d + 4*t + 2. Let s = d + 8. Let m = s + 24. What is the units digit of m?
6
Let i = -122 - -59. Let t = i - -174. What is the hundreds digit of t?
1
Suppose 0 = -29*z + 31603 + 225743. What is the thousands digit of z?
8
Suppose -8198 = -3*k + 21256. What is the thousands digit of k?
9
Let v(o) = -8*o**2 - o + 2818. Let y be v(0). Suppose -2302 - y = -16*r. What is the tens digit of r?
2
Suppose -17*y - 12 = -21*y. Suppose 0 = y*v - 9. What is the tens digit of (68 - 9/v) + 0?
6
Suppose -3*z - 1679 = -5475 - 21251. What is the tens digit of z?
4
Let i = 122 - -22. Suppose 4*d + d + i = y, -y + 144 = -d. What is the hundreds digit of y?
1
Suppose -o - 7 = 5*y, 3*y - 28 = -5*o - y. Suppose 5*j - 8 = 3*r, -2*r = -2*j - 2*j + o. Suppose z = r*b - 99, 55 = 5*b - 3*z - 67. What is the tens digit of b?
2
Let a(m) = -88*m**3 - m**2 - m + 3. Let l be a(1). Let b = 142 + l. What is the tens digit of b?
5
Let c(x) = -x**3 - 13*x**2 + 9*x + 17. Let s be c(-13). Let b be (-66)/2*28/21. Let m = b - s. What is the units digit of m?
6
Let c(q) = q - 6. Suppose 4*o - 4 = 0, -i + 3*o + 5 = -0*i. Let r be c(i). Suppose 143 = r*g + 7. What is the units digit of g?
8
What is the tens digit of 1 + (-241856)/(-26) + (-10)/65?
0
Let h(f) be the first derivative of -23*f**2/2 + 36*f - 51. What is the tens digit of h(-3)?
0
Suppose -4*v - 5 = -17. Suppose 5*h = 4*a + 47, 0*a = -3*h + v*a + 27. Suppose -267 = -h*i + 8*i. What is the units digit of i?
9
Let j be -10*(14/(-5))/7. Suppose -2*m - 132 = -o, 3*o - 516 = -o + j*m. What is the tens digit of o?
2
Suppose 3*h + 2*w - 3119 = 0, -5*w + 1694 = 12*h - 10788. What is the thousands digit of h?
1
Suppose 5*k = 7*k + 4, -4*k = 4*d + 8. Suppose -h + 5*n = -95, d = -7*h + 3*h + n + 304. What is the units digit of h?
5
Suppose h - 5 - 2 = 0. Let y(g) = g**2 - 7*g + 2. Let q be y(h). Suppose 4*n = -0*f + 2*f + 96, q*n - 4*f - 60 = 0. What is the tens digit of n?
2
Suppose -3*b + 2*w - 14 = -42, -4*b - 2*w = -14. Let m(v) = v**2 - v - 1. Let f be m(2). What is the units digit of -1*f - (-100 + b)?
3
Suppose 7*u - 45 = -2*u. Suppose -4*b + 313 = 4*c - 295, u*c + 146 = b. What is the tens digit of b?
5
What is the units digit of (1 - (-9)/3) + (4 - -8915) + 4?
7
Let f(u) = u**3 + 12*u**2 - 1. Let a(z) = -2*z + 14. Let b be a(13). Let q be f(b). What is the tens digit of ((-21)/q*-1)/(-1)?
2
Let a(d) be the third derivative of 3*d**4/8 - 25*d**3/6 - 10*d**2. Let t be a(13). Let h = t + -37. What is the units digit of h?
5
Let m(v) = v + 9. Let k be m(-7). Suppose 1 = 2*r + 2*b + 5, 3*r + k*b = -4. What is the tens digit of -1*(r - (-8)/(-12))*60?
4
Let u be (26 - 18) + 6/(-2). Suppose -4*s - 12 = 5*w, -w - 2*w - 22 = -u*s. Suppose -x - s*x = -156. What is the tens digit of x?
5
Let i be 10/(-5)*(-9)/2. Let r be (27/i)/((-2)/(-2)). Suppose x = -4*x - 5*b + 240, r*b + 56 = x. What is the units digit of x?
0
Let w(o) = 37*o - 21. Let u be w(8). Let j = 184 - u. Let l = j + 127. What is the units digit of l?
6
Let n be (-1)/2 + (-526515)/(-66). Suppose 17*y + 106 = n. What is the tens digit of y?
6
Suppose 2*p + 3 = -p, -q = -4*p - 11. Let j = -480 - -483. What is the units digit of (j - (-3 + q))*-5?
5
What is the units digit of (22/55 + 67/(-5))*-515?
5
Suppose 3*g = 4*n + 1102, -5*g + 2*n + 1299 = -533. What is the tens digit of 1 - (-2 - g - 5)?
7
Let m(f) = 81*f**3 + f**2 + 8*f + 8. Let p(z) = 80*z**3 + z**2 + 8*z + 8. Let w(r) = 3*m(r) - 4*p(r). What is the units digit of w(-1)?
6
Suppose -3*k + 4*a = -5, 0 = -5*k + 5*a + 4 + 6. Suppose -q - k*q = 12, -3*w - 5*q = 243. Let f = w + 108. What is the units digit of f?
2
Suppose -8*y + 22496 = -26432. What is the tens digit of y?
1
Suppose 0 = -5*y + 105*m - 109*m + 34173, 2*m = -5*y + 34169. What is the units digit of y?
3
Suppose 7*u = 9*u - 4. Suppose -h + u*h = -2*i - 14, i + 4*h = 7. What is the units digit of i/11 - -1 - (-2196)/22?
0
Suppose 5*h - 7678 = -w, 4*h + 2*w - w - 6142 = 0. Suppose -50*u - h = -54*u. What is the tens digit of u?
8
Let p(i) = 2*i**2 + 14*i - 20. Let l be ((-6)/12)/((-2)/(-20)). Let m(z) = 3*z**2 + 27*z - 39. Let t(q) = l*m(q) + 9*p(q). What is the units digit of t(5)?
5
Suppose 22665 = -155*r + 524865. What is the hundreds digit of r?
2
Suppose -6*r = -7*r - 129. Let q = r - -198. What is the units digit of q?
9
Suppose 2*w - 1 = -3*s + 2*s, 5*w + 3*s = 5. What is the hundreds digit of w/6 - (-4074)/18 - 2?
2
Let x = 6397 - -2057. What is the units digit of x?
4
Suppose 5*j - 133*i + 131*i = 15541, -12437 = -4*j + 3*i. What is the units digit of j?
7
Suppose -16*h + 7104 = -11*h - 34081. What is the units digit of h?
7
Let h(o) = -13 - 33*o + 56*o - 25*o. Let w be h(-5). What is the tens digit of (2/w)/((-4)/426)?
7
Let g = 5223 - -4666. What is the hundreds digit of g?
8
Let w = 6 - 6. Let o(g) = 7*g**2 - 9*g - 2 + g**3 - 2 + w*g**2. What is the units digit of o(-8)?
4
Suppose 23600 = 139*g - 413416. What is the units digit of g?
4
Let r(u) = -2*u**2 + 10*u - 24. Let f(g) = 7*g**2 - 29*g + 72. Let n(a) = 3*f(a) + 8*r(a). What is the tens digit of n(-8)?
0
Suppose -10*f - 6 = -46. Suppose f*l - t - 542 = -37, -2*t = 5*l - 615. What is the units digit of l?
5
Suppose -c - 2 = 0, -7283 = -t - 3*c + 1376. What is the hundreds digit of t?
6
Let b(d) = d**3 - 14*d**2 + 6*d - 274. What is the thousands digit of b(23)?
4
Suppose -2*w - 56 = 5*q, 5*q = 2*w - 3*w - 38. Let l be 615/w - 3/(-18) - 3. Let y = l - -78. What is the tens digit of y?
4
Let l = 1597 - 967. What is the hundreds digit of l?
6
Suppose 3*l + c - 22 = -0*c, l = -4*c. Suppose -30*z + 9108 = -l*z. What is the tens digit of z?
1
Let w(q) = 173*q + 2345. What is the hundreds digit of w(25)?
6
Let k(m) = m**2 - 4*m - 58. Let w be k(10). What is the units digit of (-130)/(-5) + -1 + 0/w?
5
Suppose 6*q = 7*q + y + 3, 4*q + 4 = -2*y. Let b(v) = 38*v**3 - v**2. Let c be b(q). What is the units digit of (c + -9)/(-1 - 10/(-6))?
2
What is the hundreds digit of (184701/(-965))/(3/(-10))?
6
Let t be (6851/(-34))/((-1)/2). Let f = t + -92. What is the units digit of f?
1
Suppose 245*d - 248*d = 5*a - 5431, -5*a = 4*d - 7248. What is the hundreds digit of d?
8
What is the thousands digit of (-42481)/(-6) - (-590)/708?
7
Let p be (72/(-21) - -3)/(3/21). Let a(i) be the second derivative of -11*i**3/2 - i**2 + 2*i. What is the units digit of a(p)?
7
Let d(o) be the first derivative of 2*o**2 + 17 + 1/3*o**3 + 13*o. What is the tens digit of d(6)?
7
Let z(n) = -2*n**2 + 10*n - 4. Let j be z(4). Let g be j*(-6)/108 - (-47)/9. Suppose 0*p = g*p - 400. What is the tens digit of p?
8
Suppose -3*z - 144 = -0. Let w = -128 - z. Let b = 117 + w. What is the units digit of b?
7
Suppose 48359 = 5*c + 3*f, 7*f - 12*f - 48375 = -5*c. What is the hundreds digit of c?
6
Suppose 0*i + 10*i = 10. Let f(p) = 281*p**2 - 2*p + 1. What is the units digit of f(i)?
0
What is the thousands digit of 36/(-12) - -6124*1?
6
Let u(v) be the first derivative of 403*v**4/4 - v**3/3 - v**2 + 2*v - 40. What is the tens digit of u(1)?
0
Suppose -5*o - 5 = 0, 4*n - 8*n - 4*o = -48. What is the units digit of n/3*(4 + (22 - -4))?
0
Let v(x) = 222*x**3 + x**2 - 2. Let h be v(1). Suppose -h + 1213 = 4*m. What is the tens digit of m?
4
Let c = 5728 + -939. What is the tens digit of c?
8
Let d be 356/(-5)*(-20)/4. Suppose -5*j = -j - d. What is the units digit of j?
9
Suppose -283*k + 285*k = 0. Suppose k*b + 3*b = 15, 1403 = 4*n + 3*b. What is the hundreds digit of n?
3
What is the units digit of (14138/8)/((-75)/(-175) - 10/56)?
9
Suppose 155 = q - 82. Suppose -8*f = -11*f + q. Suppose f = 2*d + 27. What is the tens digit of d?
2
Suppose -23*j + 5*l - 39640 = -28*j, 0 = -4*j + l + 31707. What is the thousands digit of j?
7
Suppose 0 = -0*z + 5*z - 15. Suppose 0 = -z*u + f + 626 - 80, -5*u - f = -910. What is the units digit of u?
2
Let a(q) = 22*q**2 - 10*q + 9*q + 0*q - 9*q + 4. What is the hundreds digit of a(4)?
3
Let b(m) = -4*m + 9. Let z(l) = -3*l + 9. Let t(j) = -2*b(j) + 3*z(j). Let v be t(7). Suppose -3 = 3*q, 6*w + 2*q = v*w + 14. What is the units digit of w?
4
Suppose -2*b = 2*l - 14429 + 1087, 2*b - l - 13357 = 0. What is the thousands digit of b?
6
What is the thousands digit of 1/(-8) + ((-321197)/(-40) - (-16)/(-20))?
8
Let x(t) = t**2 - 9*t + 16. Let z be x(-15). Let k = 805 - z. What is the tens digit of k?
2
Suppose 0 = g - 2*u - 7, 3*g - u = -2*g + 17. Suppose -5*v + 202 = g*j, 3*j - 4 = 2*j. Let y = 40 - v. What is the units digit of y?
2
Suppose 5 = 5*w, 4*n + 4*w = -0*n + 924. Let z(y) = y**2 + 5*y + 4. Let x be z(-5). Suppose -70 + n = x*f. What is the tens digit of f?
4
Let w(r) = 2*r**2 - r - 3. Let p be w(2). Suppose -2*f + 841 = p*f - 2*c, -3 = c. What is the tens digit of f?
6
Suppose 3*u = -2*u - 0*u. Let z be (u + 2/4)/((-2)/(-20)). What is the tens digit of (-3230)/(-50) + 2/z?
6
Let a(u) be the third derivative of u**4/4 + u**3 - 17*u**2. Let h be a(12). Let i = h - 55. What is the units digit of i?
3
Suppose 2*l = -20*l + 1188. Suppose -4*a - l = -6*a. What is the units digit of a?
7
Suppose g + 5*l - 137 = 0, -g - 2*g - 2*l + 385 = 0. Let q = -120 + 46. Let z = q + g. What is the units digit of z?
3
Let o = -82 - -44. Let f = -40 - o. What is the units digit of 1*(122/2 + f*1)?
9
Let y be (-27)/(12/(-6) + 1). Suppose 0 = -s + y + 349. What is the units digit of s?
6
Let l(p) = -2*p - 1. Let r be 1/((0 + 1)/(-1)). Let t be l(r). Let a = 23 + t. What is the tens digit of a?
2
Let g be (-24)/10*(5300/6)/5. Let f = -228 - g. What is the units digit of f?
6
Let r be (-2)/(-4) - (-45)/2. Suppose 2*v - 2 = -3*n, -2*n = -2*v - v + 16. Let t = v + r. What is the units digit of t?
7
Let j(r) = -14*r + 71. Let t be j(8). Let n = t + 85. What is the tens digit of n?
4
Suppose -74*b + 113634 = 30*b - 857518. What is the hundreds digit of b?
3
Suppose 0*c + 4*c = -56. Let t(r) = -24*r - 6. What is the units digit of t(c)?
0
Suppose -281 = -4*b + 11. Suppose -3*q + 385 = b. What is the tens digit of q?
0
Suppose -98226 = -1004*r + 986*r. What is the tens digit of r?
5
Let t(m) = m**3 - 7*m**2 + 11*m - 23. Let g be t(6). Suppose g*x - 38 = -10. Suppose 0 = 3*f + 4*w - 256, -x*w = -0 - 4. What is the tens digit of f?
8
Let u(o) = 9*o**2 + 32*o + 131. What is the tens digit of u(31)?
7
Suppose -34*u - 153 = -35*u. Let q = u + -72. What is the units digit of q?
1
Let g = 3517 + -916. What is the hundreds digit of g?
6
Suppose 250*v = 242*v + 8765 + 59571. What is the hundreds digit of v?
5
Let h be (448/5)/(4/(-70)). Let z be (4 - h/(-6))*6/(-4). Suppose -6*p + 148 = -z. What is the tens digit of p?
8
Let c(t) = 165*t - 14. Let s be c(4). Let l = s - 257. What is the hundreds digit of l?
3
Let x be 1*3 + (-12)/(-6) + -45. Let p = -46 - x. What is the tens digit of 3/p*498/(-2 + -1)?
8
Suppose 2*s + 5*h - 33 = 0, -2*s + 18 = -0*h + 2*h. Suppose 0 = -0*l + l - 3*y, 0 = 2*l + s*y. What is the tens digit of l + 4*21 + 1?
8
Let h(g) = -987*g - 4. Let b(t) = 2962*t + 12. Let m(v) = 5*b(v) + 14*h(v). Let j be m(-1). What is the tens digit of j/(-16) + 1/4?
6
Suppose 5 = -2*c - 1, -10 = 2*q + 2*c. What is the units digit of (q/(-3))/(2/(-30))*-44?
0
Suppose 0 = -4*q - 12, 0 = 5*f + 5*q - 2 + 7. Suppose 5*c - 15 = 0, 6*r - f*c - 250 = 2*r. What is the tens digit of r?
6
Let a be 2/6 + -398*2/12. Let q = -45 - a. What is the tens digit of q?
2
Let c = 17 - 12. Suppose -c*b - 44 + 4 = 0. Let a = 11 + b. What is the units digit of a?
3
Let n = -331 - -367. Suppose l + 3*i + 0 = 4, 0 = 2*l - 2*i + 8. What is the units digit of (28/n*3 + l)*237?
9
Let u(h) = -h**2 - 14*h + 25. Let z(g) = g + 1. Suppose -4*r = 2 - 10. Let x(l) = r*z(l) + u(l). What is the units digit of x(-8)?
9
Let u = 24 - 3. Let l be 21/(-2)*(-266)/u. Let f = -77 + l. What is the tens digit of f?
5
Let h(j) = 126*j + 25. Let t be h(3). Suppose -394 = -o + 4*i, t = o - 0*o + 5*i. What is the tens digit of o?
9
Suppose -28994 - 59804 + 18273 = -25*h. What is the units digit of h?
1
Let p(q) = -4*q**3 - 14*q**2 + 22*q + 254. What is the hundreds digit of p(-13)?
3
Let i(b) = 6*b**2 - 18*b - 56. Let k be i(-14). Suppose -2*s + 6*s - 4*r - k = 0, s - 343 = 5*r. What is the hundreds digit of s?
3
Let r = 103 + -2. Let q = r + -61. What is the units digit of (q/(-12) + 3 - 1)*-12?
6
Suppose 22*x - 9945 = 2815. Suppose 1116 + x = 16*g. What is the tens digit of g?
0
Let t(l) = l**3 - 2*l**2 - 3*l + 10. Let x(r) = r**2 + 3*r - 3. Let d be x(2). What is the tens digit of t(d)?
3
Suppose 7*n - 5*n = -25*n + 41229. What is the hundreds digit of n?
5
Let m(b) = 30*b - 3. Let s be m(-1). Let y = 2 + s. Let l = 41 + y. What is the units digit of l?
0
Suppose 48 = -2*k + 7*k + z, 5*z = 2*k - 30. Suppose 0 = k*g - 0*g - 570. Suppose 5*x = -f + g, x - f = 2*x - 9. What is the units digit of x?
2
Let q be (-159 - (7 - -1)/(-4))/1. Let t = -81 - q. What is the tens digit of t?
7
Let v(m) = 2286*m**2 - 13*m + 30. What is the hundreds digit of v(2)?
1
Let a = 39 - -59. Let w = 168 - a. Suppose 0*t = t - w. What is the tens digit of t?
7
Suppose 4 = 3*w - w. Let v be (6 - (4 - 0)) + 1 + w. Suppose -4*f = 3*l - 67, -5*l + v*f = f - 101. What is the units digit of l?
1
Suppose -5*b + 3*j = -33756, 11*b = 15*b + j - 26998. What is the units digit of b?
0
Suppose -8*v = -5*v - 33. Let d = 15 - v. Suppose -17 = -w + d*x, 0*w - 4*x = 2*w - 46. What is the units digit of w?
1
What is the tens digit of -3 - (-4 - 4) - -101*9?
1
Suppose -2*k - k = -57. Let x = k - 0. Let v = x + 32. What is the units digit of v?
1
Let f = -98 + 6751. What is the thousands digit of f?
6
Suppose 14*k - 113 = -1443. Let z = -84 - k. What is the units digit of z?
1
Suppose -8*l - 15*l - 4554 = 0. Let z = 370 + l. What is the hundreds digit of z?
1
Let i(u) = 4*u**2 - 27*u + 68. What is the tens digit of i(-16)?
2
Let g be (1 - -147)/((-4)/(-16)). Let b = g - 375. What is the units digit of b?
7
Let v(r) = 31*r**3 - 1. Let l be v(1). What is the units digit of ((-234)/(-5))/(6/l)?
4
Let r(w) = 736 - 398 - 306 - 2*w. Suppose 6*s = 3*s. What is the tens digit of r(s)?
3
Let f(y) = -y**2 - 172*y - 217. What is the thousands digit of f(-103)?
6
Let b(v) = -3*v + 12. Let c be b(10). Let z = c - -21. Suppose 2*l + l = -3*j + 135, z*l + 152 = 4*j. What is the units digit of j?
1
Suppose -729*u - 32610 - 12370 = -739*u. What is the thousands digit of u?
4
Let l = 145 - 101. Suppose m - l = 53. Suppose -4*t + m = -59. What is the tens digit of t?
3
Suppose -524 = -2*g + 1860. Suppose -d - 6*h + 2*h = -273, 4*h + g = 4*d. What is the units digit of d?
3
Suppose 5*v + 2*v - 55784 = -19706. What is the thousands digit of v?
5
Suppose 0 = 2*p + 2*p + 3*a + 11, 5*a + 24 = -p. Suppose 4*m - 4*c - 1044 = 0, 3*m = -2*c + 380 + 418. What is the units digit of (p/3)/(11/m)?
8
What is the tens digit of (-52*164/(-16))/(3/12)?
3
Let g(j) = -j**2 + 4*j. Let x be g(3). Suppose -392 - 352 = -x*i. What is the units digit of i?
8
Let u(a) = 571*a**2 + 23*a + 11. What is the hundreds digit of u(-2)?
2
Let h be (-36)/(-27) + 16/6. Suppose -5*a = -h*d - 82, -3*d - 6 = -2*a + 24. Suppose -5*s + a = -2. What is the units digit of s?
4
Suppose 2 = -8*l - 6. Let f(p) = -496*p**3 + 2*p + 1. Let o be f(l). Suppose -2*x = 7*x - o. What is the units digit of x?
5
Let m(o) = 186*o - 1672. What is the hundreds digit of m(12)?
5
Suppose -8*b + 9*b - 5*z = 128, -234 = -2*b - z. Suppose 0 = 3*h + u - 174 - b, -5*h - 3*u + 492 = 0. What is the tens digit of h?
9
Let n = 33 - -49. Suppose 0 = 13*h - 3*h. Let g = n - h. What is the units digit of g?
2
Suppose 4*b = 2*r - 3*r - 9, 4*r - 12 = 0. Let h be b/(-4) - (-74)/8. What is the tens digit of (((-35)/7)/h)/(1/(-144))?
7
Let b = 12 + -9. Suppose -2*u - m + b = 0, 3*m - 6 + 18 = u. Suppose 7*i + 5*w = u*i + 109, 0 = -5*w - 15. What is the tens digit of i?
3
Suppose -5*r - 5*f = -5510, -19*r - 2209 = -21*r + 3*f. What is the units digit of r?
3
Let f = 15 + -8. Suppose 20 = -f*h - 1. What is the tens digit of h - (0/2 + (-55 - 1))?
5
Let g(k) = -k**3 - 80*k**2 - 15*k + 420. What is the units digit of g(-80)?
0
Let i(f) = 40*f - 1189. What is the units digit of i(39)?
1
Let w(v) = v**2 + 5*v - 8. Let u be w(-6). Suppose -484*t = -480*t - 20. What is the units digit of 0/t + (-94)/u?
7
Suppose 18 = -2*x + 48. Suppose d + x = 6*d. Suppose -4*o = -d*l - l - 228, 2*o = 3*l + 109. What is the units digit of o?
2
What is the thousands digit of 5/(-1 + -4)*0 - -6663?
6
Let k be (-804)/4*(1 + (-12)/9). Suppose k*c - 873 = 64*c. What is the tens digit of c?
9
Suppose 4702 + 2461 = 4*t - 2969. What is the thousands digit of t?
2
Let f be ((-4)/(-3))/((-120)/(-270)). Let d be 1*(1 - (-1 - 0)). Suppose m + d*l = 6*l + 10, -3*m + 12 = -f*l. What is the units digit of m?
2
Suppose 4*s = 10 + 10. Suppose -3*c - 3*k + 170 = -355, -5*c + 835 = -s*k. What is the hundreds digit of c?
1
Suppose -5*m + 16134 = -1434 + 3303. What is the hundreds digit of m?
8
Let p(z) = 4786*z**2 - 57*z + 56. What is the thousands digit of p(1)?
4
Let d = -190 + 5. Let b = 204 + d. What is the units digit of b?
9
Let y(q) = 2*q**2 - 13 + 4*q**2 + 2. Let n = -2048 - -2051. What is the tens digit of y(n)?
4
Let c(u) = u**2 + 0 - 4 - 3 + 8*u + u. Let i be (8/2)/(4/(-12)). What is the tens digit of c(i)?
2
What is the units digit of 9777 - (-17 - 70/(-14))?
9
What is the thousands digit of (-3)/1 - 5 - -1*5447?
5
Suppose 0*u - 5*k = -5*u + 1685, -4*k = 3*u - 1046. Let p = u - -6. What is the tens digit of p?
4
Let b(d) = -d**3 - 7*d**2 - 4*d + 15. Let v be b(-6). What is the units digit of (v + -2)/((-17)/(-391))?
3
Suppose -1185 + 15945 = 2*w + 4*i, -5*w - i = -36936. What is the tens digit of w?
8
What is the hundreds digit of 16 + -28 - (0 - 3558)?
5
Suppose -c + 91 = 4. Let w = c + -54. Let r = w - 5. What is the tens digit of r?
2
What is the thousands digit of (((-486)/(-45))/9)/(2 - (-27848)/(-13925))?
8
Let w = -3033 + 5646. What is the units digit of w?
3
What is the units digit of ((-239218)/(-28))/1 + 1/2*-3?
2
Let c(y) = y**2 - 3*y + 14. Let o = -57 - -46. Let a = 20 + o. What is the units digit of c(a)?
8
Let z be (-4)/(-3) + 4768/24. Let x = z + 2. What is the tens digit of x?
0
Suppose -10 = -4*s + 2*n, 4*s - 2*n + 5*n + 5 = 0. Let f be (s - 12/8)*-4. What is the tens digit of (f - -4) + 4 - -3?
1
Let p = 15177 - 21392. What is the units digit of 16/(-28) + 2 + p/(-35)?
9
Let j = 7457 + 627. What is the thousands digit of j?
8
Let q(i) = 10*i**2 + 7*i - 19. Let m be q(5). Suppose -13*j + 14*j = m. What is the tens digit of j?
6
Let w be (-9)/3*1 - -3. Suppose -n + 3*n = 4*j + 12, w = -5*n - j + 8. Suppose n*r = 3*c - 47, -4*r - 17 = 5*c - 110. What is the tens digit of c?
1
Suppose -63*f + 9469 + 291106 = -103066. What is the tens digit of f?
0
Let y(n) = -9*n**3 + 11*n**2 - 36*n - 105. Let j(q) = -5*q**3 + 5*q**2 - 18*q - 53. Let z(f) = -11*j(f) + 6*y(f). What is the units digit of z(-12)?
5
Suppose 4*o = 4, o = -3*r + r + 9. Suppose -3*b + 3*y = -297, -y + 408 = r*b - 2*y. Let z = b - 66. What is the tens digit of z?
3
Suppose 20*z - 221 = 7*z. What is the units digit of (6/(-10))/(z/(-10795))?
1
What is the tens digit of (4 + 3652/2)*(-6)/(-3)?
6
Suppose 9*g - 5*g = 0. Suppose f + f - q - 560 = g, f - q = 279. What is the tens digit of f?
8
Suppose 11*p = 76932 + 23476. What is the thousands digit of p?
9
Let n = 11213 + -3431. What is the units digit of n?
2
Suppose -12*y + 169 = y. Suppose 0 = y*g - 10024 + 4161. What is the units digit of g?
1
Let u be 17 + -15 - (-2 - -1). Suppose -107 - 268 = -u*d. What is the tens digit of d?
2
Suppose l + d - 9585 = 0, 8*l = 10*l - 4*d - 19164. What is the units digit of l?
4
What is the tens digit of (-69)/(-46)*(61950/9)/5?
6
Suppose -i - 3*i = -r - 24, 2*r = -8. Suppose 3*w - 4*l + i = 0, 2*l = l + 5. Suppose 3*j + 3*o + 47 = w*j, j - 31 = 4*o. What is the tens digit of j?
1
Suppose 3*t = -3*g + 28932, -3*g = g + 3*t - 38572. What is the tens digit of g?
4
What is the thousands digit of (2/9)/((-17)/(-8391591)*13)?
8
Let x be (-1 - (-11)/5)/((-45)/(-150)). Suppose -x*p - 3*m + 29 = -618, 5*m + 133 = p. What is the tens digit of p?
5
Suppose 0 = -i + 2*h - 6*h + 25, -4*h + 35 = 3*i. Suppose 10*o = 5*o + i*j + 1285, -4*j + 8 = 0. What is the units digit of o?
9
Suppose -1 - 4 = -l. What is the hundreds digit of (908/(-6))/(((-30)/18)/l)?
4
Suppose -41*w = -35*w - 12. Suppose -4*l - 195 = -2*a + 51, 6 = -w*l. What is the hundreds digit of a?
1
Suppose -23477 = -7*r + 9206. What is the thousands digit of r?
4
What is the hundreds digit of (17 - 35)*402/(-2)?
6
Let h(a) = a - 3. Let f(u) = u**2 - 6*u + 7. Let s be f(6). Let b be h(s). What is the tens digit of 4 - (-76 - (b + -7))?
7
Suppose 35 - 25 = -2*k, -c + 21 = -3*k. Let u(s) = 8*s - 8. Let p be u(7). What is the tens digit of c/p - 693/(-24)?
2
Let w(c) = 5*c**2 + 5*c + 23. Let b be w(-3). Suppose -191 - 54 = 5*l. Let y = l + b. What is the units digit of y?
4
Let t = -6800 - -15904. What is the tens digit of t?
0
Suppose -2*f + 982 = 3*u, -7*u - 1662 = -12*u + 3*f. Let h = 558 - u. What is the hundreds digit of h?
2
Let z(d) = 729*d**3 - 12*d**2 + 28*d - 10. What is the tens digit of z(2)?
3
Let v(d) be the third derivative of -d**6/120 - d**5/30 + d**4/2 + d**3/6 - 12*d**2 + 2. What is the tens digit of v(-5)?
1
Let k = 4666 + -4565. What is the tens digit of k?
0
Let j = -26 + 166. What is the tens digit of j/3 - (17/3 - 6)?
4
Let h(k) = k**2 - 17*k + 4. Let u be h(17). What is the tens digit of 3332/8 + u + (-3)/6?
2
Let w(p) = 9*p**2 + 2*p - 24. Suppose v = 2*f + 3*f - 36, -3*v = f - 4. What is the tens digit of w(f)?
3
Suppose -4*z + 6 = -4*t - 2, -8 = -t - z. Suppose 3*h = -t*h - 54. What is the units digit of 4/(12/h) - (-3 + -35)?
5
Let l = 3532 - 2376. What is the tens digit of l?
5
Let r(n) = 832*n**3 + n**2 - 9*n + 6. What is the tens digit of r(2)?
4
Let c(n) = 2*n**2 + 8*n - 523. What is the hundreds digit of c(34)?
0
Suppose -4*m = m. Let r = 140 + 34. Suppose -9*h + 11*h - r = m. What is the tens digit of h?
8
Let k = -15 - -65. Suppose 3*d = -3*h + k + 10, 5*h = 5*d - 90. Suppose -d - 78 = -z. What is the units digit of z?
7
Let g(r) be the first derivative of -r**4/4 - 8*r**3/3 + 7*r**2 + 21*r + 1. Suppose -4*w - 7 = 4*n + 33, -5*n - 4*w - 50 = 0. What is the tens digit of g(n)?
8
Let y = -26 + 31. Suppose -4*u + 32 = o, -2*u + y*o + 16 = 3*o. Suppose -2*i + u*i - 168 = 0. What is the tens digit of i?
2
Let f(u) = -2*u**3 + 5*u**2 - 37*u - 23. What is the units digit of f(-11)?
1
Let k(m) = -m**3 - 25*m**2 - 85*m + 29. What is the hundreds digit of k(-27)?
7
Suppose 54 = 4*v + 18. Let c(h) = h**2 - 11*h + 21. Let t be c(v). Suppose -2*l + 350 = i + 4*i, -t*i + 221 = -l. What is the units digit of i?
2
Suppose -5*i + 19856 = 2*x, -455*i = -3*x - 453*i + 29784. What is the thousands digit of x?
9
Suppose m + 82 - 459 = 0. Suppose 3*g + m = h - g, -4*h + 2*g = -1438. What is the hundreds digit of h?
3
Suppose -5*u + 4576 = -4*j - 18866, 0 = -4*u - 2*j + 18738. What is the tens digit of u?
8
Let y(o) = 5*o**2 - 2*o. Let k be y(1). What is the units digit of k/1 - (-4 + -100)?
7
Suppose -2*y + 280 = -4*w, w = 4*y - 19 - 37. Let a be 16/w + (-4)/(-18). What is the units digit of -1*((-6)/(2 - a) - 4)?
7
Let m(d) = d**2 - d + 1. Let j(f) = 35*f**3 + 11*f**2 - 16*f + 7. Let l(h) = j(h) - 6*m(h). What is the hundreds digit of l(2)?
2
Let q be 3*7 + (-10 - 0)/5. Suppose -4*g - q = -787. What is the tens digit of g?
9
Let m(f) = 1 + 212*f - 2 - 2. What is the hundreds digit of m(2)?
4
Suppose s = 2*d + 315 + 3021, -2*s + 3*d + 6668 = 0. What is the hundreds digit of s?
3
Let h = 3 + 10. Let g = h + -10. Suppose 5*d - 57 = -x, -3*d = g*x - 2*d - 213. What is the tens digit of x?
7
Suppose -l - 106 = -4*o + 50, -l - 42 = -o. Let f(x) = 9*x + 96. What is the hundreds digit of f(o)?
4
What is the thousands digit of 37614/4 + 13/((-130)/5)?
9
Let j = -72 + 77. Suppose -1219 = -j*v + 501. What is the tens digit of v?
4
Suppose -m + 3*q + 5853 = 3*m, q = -3. Suppose -2*o = 5*l - m, 5*l + o - 1446 = 4*o. What is the hundreds digit of l?
2
Let u(t) be the third derivative of -t**4/8 + 29*t**3/6 + 11*t**2. Let a be u(9). What is the tens digit of (a - (-36)/(-16))*-292 - 0?
7
Let y = 655 - 400. Suppose f + 2*f - y = 0. Let c = -6 + f. What is the tens digit of c?
7
Let i(j) = 3*j**2 + 4*j - 14. Let z be i(-9). Let d = 323 - z. What is the tens digit of d?
3
Let y(o) = 5*o**2 - 8 - 2*o**3 + 6*o**2 + 27 - 9*o + o**3. What is the tens digit of y(8)?
3
Let x be (-14)/(-77) - (60/(-33) + -2). Suppose x*k + 3*h - 6*h = 550, -2 = h. What is the hundreds digit of k?
1
Let j(v) = -49*v + 115. What is the tens digit of j(-22)?
9
Let v be -1*(0/(4/(-4)))/2. Suppose -4*g + 0*g = v. Let w(m) = 2*m + 7. What is the units digit of w(g)?
7
Let f(t) = t**2 + 4*t + 34. Suppose 5*o - 32 = 2*o - 4*k, 0 = 5*k + 20. What is the hundreds digit of f(o)?
3
Let n(y) = -y**2 - 37*y - 57. Suppose -c - 74 + 47 = 0. What is the units digit of n(c)?
3
Let t = -1 - -4. Let o = 474 + -470. Suppose t*b + 376 = o*c, 0*c - 2*b = -c + 89. What is the units digit of c?
7
Suppose 808 = 2*c + c - r, c + 2*r - 260 = 0. Suppose -24*d + 19*d + 20 = 0. Suppose -2*s - c = -d*y, 5*s = -0*s. What is the units digit of y?
7
Suppose 3*w - 3*v = 0, 0*w = -2*w - 5*v + 7. What is the units digit of w*2 - ((-9 - -7) + -8)?
2
Suppose 43*m - 18*m = 21675. Suppose -m = -7*j + 645. What is the tens digit of j?
1
Let f = 5345 - 2517. What is the units digit of f?
8
Let j be (27/(-18) - 1/2) + 51. Let d be 1 + (-10)/14 + 133/j. Suppose -4 = -o - 2*b, 3*o + 2*b - d*b - 40 = 0. What is the tens digit of o?
1
Let b(y) be the second derivative of 53*y**4/12 - 3*y**3/2 - 2*y**2 - 2*y - 6. What is the units digit of b(2)?
0
Let a(q) = 308*q**3 + q**2 + 2*q - 2. Let k = -48 - -49. What is the hundreds digit of a(k)?
3
Let f be 10*3*(14/(-6) + 1). Let v = 32 + f. What is the tens digit of ((3 + v)/(-5))/(1/89)?
8
Suppose 8*o - 26*o + 48967 + 66935 = 0. What is the units digit of o?
9
Let h(b) = -90*b**2 - 5*b + 7. Let z be h(1). Let l = z + 125. What is the units digit of l?
7
Let w(f) = f**3 + 17*f**2 + 26*f - 7. Let v be w(-13). Suppose -4*r = -5*y + v, 16*r = -5*y + 15*r + 336. What is the tens digit of y?
6
What is the thousands digit of (245350/50)/(0 + 1)?
4
Let p = 18478 - 9335. What is the thousands digit of p?
9
Let w(z) = 330*z**2 + 31*z - 5. What is the hundreds digit of w(3)?
0
Let c(o) = 2*o**2 + 10*o + 4. Let q be c(-4). What is the hundreds digit of (114/q*2)/(1/(-7))?
3
What is the tens digit of 26/(-91)*50568/(-12)?
0
Let s(a) = -2115*a**3 - 8*a**2 - 6*a + 1. What is the units digit of s(-1)?
4
Let d(h) = -h**3 + 11*h**2 + 3*h + 1. Let m be d(11). Suppose -8*b - 7 = 1. Let z = m + b. What is the units digit of z?
3
Suppose 0*t + 3*t - 216 = 0. Let g = t + 20. What is the tens digit of g?
9
Let l be 10/1*6/4 + -3. Suppose -l*s - 742 = -19*s. What is the tens digit of s?
0
Suppose -19*w + 27*w - 4*p - 54796 = 0, -2*w + 13701 = p. What is the hundreds digit of w?
8
Let j(y) = -46*y + 4 + 4 + 71*y + 7. What is the hundreds digit of j(10)?
2
Let x = 1825 - 1254. Let a = -122 + x. What is the tens digit of a?
4
Let n = -17 - -21. Suppose -3*m + m = -n*m. What is the units digit of m - 12*(-1 - 1)?
4
Suppose 0 = 6*g - 21*g + 21480. Suppose 2*j = 6*j + 4*n - g, -5*n = 10. What is the hundreds digit of j?
3
Suppose -4*v + 623 + 473 = 0. Suppose i - 2*y - v = 0, 4*i + 0*i - 1081 = 5*y. What is the units digit of i?
4
Let p(o) = 434*o - 808. What is the units digit of p(6)?
6
What is the hundreds digit of 1*((-6 - -11) + 2367)?
3
Suppose -2*l = -21 + 15. Suppose v - 10 = -y, v + 26 = l*y + 4. Suppose 0 = y*n - 7*n - 66. What is the units digit of n?
6
Suppose -7*x + 72 = -4*x. Let j = 18 - x. Let z = 41 - j. What is the units digit of z?
7
Let b(j) = j**2 - 4*j + 3. Let k be b(4). Suppose -s + 12 = 4*m, -3 = -k*m + 2*m + 3*s. What is the units digit of -6 + 33 - (m + -2 + -3)?
9
What is the tens digit of (-14054)/(-3)*(-375)/(-250)?
2
What is the thousands digit of 6 - -1*(8384 + (-5 - -5))?
8
Let j = -77 - -62. What is the tens digit of 26/(-195) + 58/j + 266?
6
Let o(v) = -4*v + 6. Let j(y) = 21*y - 30. Let h(g) = 2*j(g) + 11*o(g). Let z be h(0). What is the units digit of ((-3)/z)/(3/(-198))?
3
Let o = 582 + 4466. What is the thousands digit of o?
5
Suppose -49*u + 343324 = -126096. What is the hundreds digit of u?
5
Suppose 4*g - 2460 = 4*d + 11512, -3*g = 2*d - 10489. What is the hundreds digit of g?
4
Suppose 6*o + 4386 = 45810. What is the thousands digit of o?
6
Let s be (4/(-8))/((-3)/282). Let f = -4 + 9. Suppose 0 = -t - 4*y + s + 54, f*t - 457 = -4*y. What is the units digit of t?
9
What is the thousands digit of 45/(-63) - (-212232)/28?
7
Suppose -554 = 12*g - 11*g. Let r = -165 - g. What is the hundreds digit of r?
3
What is the tens digit of (100 - 108) + 3*3313?
3
Let f = 1996 + -1164. What is the hundreds digit of f?
8
Let p be (-3*(0 - -1))/(3/(-8)). Suppose 6*r - p*r + 261 = -5*t, 4*r - 5*t - 497 = 0. What is the tens digit of r?
1
Let p(t) = -2*t**3 + t**2 + 3*t - 2. Let j be p(-2). Suppose x + j = u, u + 3*x - 5 + 1 = 0. What is the units digit of u?
0
What is the thousands digit of (-148)/518 - (-1570)/(-28)*-60?
3
Suppose -3*m = b - 5074, -4*b + 20254 = m - 3*m. What is the hundreds digit of b?
0
Let h(c) = -7*c**3 - 3*c**2 - 43*c - 223. What is the thousands digit of h(-9)?
5
Suppose 5*c - 1847 - 628 = 0. Suppose -4*q + 740 = 3*r, -5*q + 2*q + c = 2*r. Suppose 7*o = 3*o + r. What is the tens digit of o?
6
Let y(h) = 10*h + 47. Let z be y(-5). Let w = z + 291. What is the tens digit of w?
8
Let q = -754 + 537. Let s = q + 302. What is the tens digit of s?
8
Suppose 48*f + 15*f = -29*f + 764888. What is the units digit of f?
4
Let l = -18551 - -26116. What is the tens digit of l?
6
Let f be 16/216 + 18918/486. Let l be 1/2 + (-50)/4. Let q = f + l. What is the units digit of q?
7
Let a(m) be the second derivative of -7*m**4/24 - 2*m**3/3 + 9*m**2/2 + 17*m. Let n(v) be the first derivative of a(v). What is the units digit of n(-3)?
7
Let a = 3804 - 1747. What is the hundreds digit of a?
0
Suppose 0 = 6*y - 9*y. Let t be y*(-5)/(-15)*-3. Suppose -n + 3*m = -97, 3*n + t*m - m = 275. What is the tens digit of n?
9
Suppose -59*z - 56*z = -988195. What is the tens digit of z?
9
Suppose 4*l + 60 + 81 = 3*m, -2*m = l - 105. Let y = 1221 + -1271. Let c = m + y. What is the units digit of c?
1
Let l = 2650 - 2100. What is the units digit of l?
0
Suppose 26*u - 29*u = -567. Let c = u + -100. What is the units digit of c*(5 + -4)/1?
9
Let q(t) be the second derivative of t**3/6 + 50*t**2 - t + 3. What is the units digit of q(30)?
0
Let t = 52 + -11. Let d = 39 - t. What is the units digit of (-16 + 12)/(d/36)?
2
Suppose 0 = -2*q + 2*r + r + 44, 0 = 5*q + 3*r - 68. Let j = 3 + q. Suppose -3*v - j + 28 = 0. What is the units digit of v?
3
Let m = 2631 + -1082. Suppose -4*l + 6*l - 1170 = -3*y, 4*y - m = l. What is the tens digit of y?
8
Let j(d) = 904*d - 518. What is the units digit of j(9)?
8
Let w(n) = -2*n**2 - 2*n - 275. Let y(b) = -2*b**2 - 15*b - 7. Let u be y(-7). Let j be w(u). What is the tens digit of (3*-2)/(22/j)?
7
Let b = 129 + -127. Suppose -3*q - 1007 = -5*a - 0*q, -a = b*q - 191. What is the units digit of a?
9
Suppose 0 = -4*s - 0*t + t, 5*s = 3*t. Suppose -4*r - d + 0*d + 5 = s, 0 = d + 3. Suppose 3*h = -v + 52, r*v + 0*v = -4*h + 106. What is the tens digit of v?
5
Suppose -13 = 5*y + 4*m + 14, -y + 3*m + 6 = 0. What is the hundreds digit of ((-1665)/10 - 3)*(y + 1)?
3
Suppose 3*k - 2*g = 1381, -k + g = -6*k + 2293. Suppose 118 = 2*p + i - 193, -3*p - 4*i + k = 0. What is the tens digit of p?
5
Let w(i) = 68*i - 950. What is the units digit of w(80)?
0
What is the hundreds digit of 4 + (-12186)/((-22)/11)?
0
Suppose 55*y - 31*y - 150888 = 0. What is the tens digit of y?
8
Let h(k) be the second derivative of 5*k**4/8 - 5*k**3/6 - 8*k**2 + 4*k. Let n(c) be the first derivative of h(c). What is the tens digit of n(7)?
0
Suppose -45*c = -48*c - 654. Let s = 367 + c. What is the units digit of s?
9
Suppose 26*h - 10*h - 96 = 0. Let f(m) = 70*m + 12. What is the units digit of f(h)?
2
What is the units digit of ((-147)/(-14) - 8) + 17035/10?
6
Let p(z) = 4*z - 17. Let y be p(5). Suppose -y*o = -707 - 457. What is the units digit of o?
8
Let v = 100 - 82. What is the tens digit of 10725/35 - (v/(-7) + 2)?
0
Suppose -99*j + 1035709 = 52*j. What is the tens digit of j?
5
Suppose -52 = y - 54. Let a be (16/5 - y)/((-6)/(-100)). What is the units digit of a*(2 + 1)*4/10?
4
Let i(p) = -7*p**3 - 4*p**2 - 10*p - 2. Let l be i(-4). Suppose -3*h + l + 459 = 2*w, 2*h = 2*w - 896. What is the tens digit of w?
4
Let n(t) = 33*t**2 - 83*t + 830. What is the tens digit of n(12)?
8
Let w(o) = -9*o - 22. Suppose i = -4*l + 4, -3*i = i + 2*l - 2. Suppose -8*p + 9*p + 12 = i. What is the tens digit of w(p)?
8
Let h = 149 - 146. Suppose -2*c - 2058 = -5*r, r = -r + h*c + 821. What is the tens digit of r?
1
Suppose -2*u - 2*i + 10254 = 0, 3*i - 5314 = -2*u + 4941. What is the hundreds digit of u?
1
Suppose -4*v = -3*i - 27152, -12142 - 8209 = -3*v - i. What is the hundreds digit of v?
7
Let p = -42 - -47. Suppose 0 = -p*f - 1 + 21. Suppose f*j - 303 = j. What is the tens digit of j?
0
Let v(s) = s**2 - 3*s + 2. Suppose 0 = -2*c + 9*c - 14. Let f be v(c). Suppose f = -0*n + 6*n - 498. What is the tens digit of n?
8
What is the hundreds digit of (-1 - (-5)/1) + (24 - (-9900 - 1))?
9
Let x be 63/(-105) - 143/(-5). What is the tens digit of (x - -2)*(-26)/(-4)?
9
Let u = -35 - -40. Suppose r - 175 = -3*t - 23, -r + u*t + 144 = 0. What is the hundreds digit of r?
1
Suppose -23*d + 105738 = -6387. What is the units digit of d?
5
Suppose 7*v + 184 = 450. What is the tens digit of v + -40 - -3*232/2?
4
Let o(g) = -g - 15. Let p be o(-11). Let v be p/(-2) + (-280)/8. What is the tens digit of (-1)/(-3 + 4)*v?
3
What is the hundreds digit of 304968/48 + -3*(-28)/24?
3
Suppose 9*c = -10*s + 6*c + 69516, -2*c - 20849 = -3*s. What is the thousands digit of s?
6
Let w(g) be the second derivative of g**4/12 + 5*g**3/6 + 13*g**2/2 - 11*g. Let f = 0 - 4. What is the units digit of w(f)?
9
Let s(m) be the first derivative of -m**3/3 - 25*m**2/2 + m + 41. What is the units digit of s(-14)?
5
Suppose -355 = -2*s + i, -2*i = 2*s - 0*i - 352. Let d(u) = u + 177 + u**3 - s - 2*u. What is the tens digit of d(3)?
2
Suppose -1770 = 43*n - 38*n. Let w = 657 + n. What is the units digit of w?
3
Let m(l) be the first derivative of -1/4*l**4 + 1/2*l**2 - 5*l + 7 - 5/3*l**3. What is the units digit of m(-6)?
5
Suppose 97*p + 75 = 102*p. Suppose p*n - 80 = 17*n. What is the tens digit of 1/(-4) + (-1770)/n?
4
What is the hundreds digit of 3/21 + 459765/63?
2
Suppose 2*s - 31 = s. Let z = s - 61. What is the units digit of z/(-7 - -4) - 1?
9
Let z be ((-4)/(-1))/(-3 - -5). Suppose -5*h - 7 = z*i + 5, -12 = -4*i - h. Suppose -i*f + 27 = -f. What is the units digit of f?
9
Let m = 49 + -41. Let q(g) = 26*g - 7. Let s be q(m). Suppose -18 = 3*r - s. What is the units digit of r?
1
What is the tens digit of (15 - (-476)/21)/(2/234)?
0
Let r be (-336)/18 + 2/(-6). Let g = 15 + r. What is the units digit of 0/(2 - g) + -1 + 2?
1
Suppose -66*r = 5*r + 30*r - 261590. What is the units digit of r?
0
Suppose u = 16*u. Suppose u = -6*y - y + 1036. What is the units digit of y?
8
Let j(s) = 5*s**2 - 64*s + 573. What is the thousands digit of j(39)?
5
Suppose 0 = -2493*v + 2495*v - 878. What is the hundreds digit of v?
4
Let v be 23 + 25/5 + -5. Suppose 1235 = v*o - 53. What is the units digit of o?
6
Let d(q) = -2*q**3 + 21*q**2 - 9*q - 17. Let b(c) = 2*c**3 - 20*c**2 + 8*c + 17. Let y(m) = -4*b(m) - 5*d(m). What is the units digit of y(13)?
5
What is the units digit of (3072/60 + -1*6)*55?
6
Let v(h) = 14*h**2 + 8 + 7*h - h**2 - 8*h**2 + h**2. What is the tens digit of v(4)?
3
Suppose 4*f - 18 = -86. Let t = f + 318. What is the units digit of t?
1
Suppose 9*y - 2 = 5*y + 2*v, 3*v = -y + 18. Let z(p) = 14*p - 4*p + 3*p + 8. What is the units digit of z(y)?
7
Let m(y) = -9*y**3 - 13*y - 25. What is the tens digit of m(-9)?
5
Let s be (1/(-4)*-2 + -927)*-2. Suppose s + 1495 = 9*t. What is the hundreds digit of t?
3
Let k = -2 + 17. Let n be (3 - 95/k)*(-3)/(-1). What is the tens digit of ((-104)/(-10))/(n/(-25))?
2
Let x = 219 - 216. Suppose -2*h + 9 = -75. Suppose 2*d + 3*q - 28 = 2*q, h = x*d + q. What is the units digit of d?
4
Suppose -2*o + 35 = 25. Suppose 4*v + 2*g - 62 = 0, g + 56 = 4*v + o*g. Let z(h) = 2*h + 1. What is the units digit of z(v)?
5
Let m = -39 - -52. Let c = m - 50. Let k = c + 58. What is the tens digit of k?
2
Let p(b) = 429*b - 9 - 732*b + 489*b. What is the tens digit of p(2)?
6
Suppose -a = -4*o + 40, a - 1 + 49 = 2*o. What is the tens digit of (4/(-14) - 366/a)*48?
0
Let c(z) = -4*z - 64. Let a be c(0). Let g = -1 - a. Suppose -5*w - 5*j + 138 = -2*w, w - 4*j = g. What is the tens digit of w?
5
Suppose 4*o - 3*t + 69 = 0, 2*o + 4*t - 3*t + 37 = 0. What is the tens digit of (-390)/o + 4/(-6)?
2
Let y be 64/11 - 24/(-132). Let r(a) = -10 - y + 8 - 20*a. What is the tens digit of r(-5)?
9
Let a(t) = 29*t**2 + 4. Let p be a(-3). Suppose -2*i - 2*i + 5*q = -315, -2*q = 3*i - p. What is the tens digit of i?
8
Let o(u) = 84*u**2 - 155*u + 760. What is the units digit of o(5)?
5
Let r(l) = 29*l**3 - l**2 + 2*l. Let k be r(1). Let c be (9*4)/(4/k). Suppose -4*d + c = d. What is the units digit of d?
4
Suppose 0 = 4*q - 3*m - 2*m - 65, 0 = -2*m - 2. Let a be (1/6)/((-5)/q)*24. What is the tens digit of 454/6 - 4/a?
7
Suppose 3*v + 2*g + 71 = 0, 7*g + 4 = 3*g. What is the units digit of 9 + -4 - (v + 2)?
6
Suppose 2*s - 5*n - 21 = -10*n, s - 2*n + 3 = 0. Let g be s*(-2 - -1) - -3. What is the tens digit of (1 - g - 65)*(-2 - -1)?
6
Suppose 0 = 2*a - 2*o - 744, 0*o + 1884 = 5*a + 3*o. Suppose 4*d - 254 = 3*l, 2*d + d = -5*l - a. Let g = l - -158. What is the units digit of g?
0
Let k(z) be the third derivative of 7*z**4/8 - 95*z**3/6 - 4*z**2 + 3*z. What is the hundreds digit of k(11)?
1
What is the units digit of ((-9)/2 - -6) + 127730/20?
8
What is the units digit of 12/(-42) + ((-10)/45 - 378161/(-441))?
7
Let z(o) = 143*o - 3 - 303*o + 157*o. Let k(r) = -r**3 - 16. Let g be k(0). What is the tens digit of z(g)?
4
Let h(s) = 50*s**3 - s**2 - 4*s + 2. Let f(d) = 6*d - 1 - 8*d + 2*d + d - d**2. Let i(p) = -2*f(p) - h(p). What is the units digit of i(-1)?
1
Suppose 32*r - 10*r - 199210 = -0*r. What is the hundreds digit of r?
0
Suppose 0 = 5*n + 5*w - 40, 0 = -3*n + 2*w + 2*w + 3. Suppose 3*b - n = -17. What is the tens digit of (-29)/(1 + 6/b)?
5
Let k = 54 - 49. Suppose k*u + 5*x - 138 = 2*u, u + x - 46 = 0. Suppose 3*a + 4*i = 139, 0 = a - 0*a + i - u. What is the units digit of a?
5
Let r = 6878 + -3945. What is the thousands digit of r?
2
Suppose -5*b - 9 = -99. What is the hundreds digit of (5/(40/172))/(3/b)?
1
Let k(s) = s**2 - 5. Let m be k(3). Suppose a + 261 = m*u, -4*u - 5*a + 85 + 170 = 0. What is the units digit of u?
5
What is the hundreds digit of (-45458)/(-12) + (-65)/(-78)?
7
Let f(d) = -d**3 + 9*d**2 + 6*d + 38. Let m be f(10). What is the units digit of (-363)/m*(-34)/(-51)?
1
Let y(x) = -19*x - 5. Let o be y(-2). Let k(g) = 10*g + 107. What is the tens digit of k(o)?
3
Suppose -27*r + 16506 = 33*r - 57*r. What is the units digit of r?
2
Let y(c) be the third derivative of c**6/240 - 19*c**5/120 - c**4/24 + 18*c**2. Let q(f) be the second derivative of y(f). What is the units digit of q(8)?
5
Let f be (-1)/((-6)/714) - -4. Let g = 123 + f. What is the tens digit of g?
4
Let q(o) be the first derivative of -o**4/4 + 2*o**2 - 23*o - 70. What is the tens digit of q(-8)?
5
Suppose 22 = -3*t - 815. Let i = t - -483. What is the units digit of i?
4
Let t = -1724 - -2574. Let n = 1303 - t. What is the hundreds digit of n?
4
Let i(l) = -825*l - 548. What is the units digit of i(-8)?
2
Let s be (-40)/(-24)*(-9)/(-15). What is the tens digit of ((-64)/(-224))/(s/1043)?
9
Let m(f) = -f - 76. Let a(y) = -y - 24. Let z(v) = 19*a(v) - 6*m(v). Let l(b) = -b**2 - 5*b. Let h be l(-6). What is the tens digit of z(h)?
7
Let p(q) = q**2 + 64*q + 148. What is the tens digit of p(57)?
4
Suppose -105*u + 9*u + 699456 = 0. What is the hundreds digit of u?
2
Suppose -10*r = -8*r + 16. Let a(q) be the third derivative of -11*q**4/24 + q**3 - 5*q**2. What is the tens digit of a(r)?
9
Suppose -16 = -5*u + 3*u - h, 0 = 3*u + 4*h - 19. Let f = 14 - u. Suppose 3*c + f*w = 268, -88 = -c - w - 2*w. What is the tens digit of c?
9
Let x(t) = 9 - t**2 + 5*t**2 - 43*t - 2*t**2 + 37*t. Let l be x(2). Suppose -2*j + 3*c = -129, 4*j - 2*c + l*c = 267. What is the units digit of j?
6
Let u(i) = 4*i - 12. Let a be u(4). Let s(p) = 2 - 47*p - 4 + 1 - a. What is the tens digit of s(-2)?
8
Let b be 12/9 - 322/(-42). Suppose -301 = -16*r + b*r. What is the units digit of r?
3
Let q(p) be the third derivative of p**6/120 - p**5/4 - 2*p**4/3 + 2*p**3/3 - 11*p**2. Let j be q(16). What is the units digit of (j/(-4))/(3/(-123))?
1
Let g = 411 + -240. Suppose -2*u + g = -225. What is the hundreds digit of u?
1
Let g = 1 + 8. Suppose -7*o + 4*o + g = 0. Suppose 0 = u + o*j - 72, 4*u - 4*j = -0*j + 304. What is the tens digit of u?
7
Let f(k) be the second derivative of 8*k**3/3 - 34*k**2 - 54*k. What is the tens digit of f(16)?
8
Let a be 163/5 - 6/(-15). Suppose 2*t + a - 29 = 0. What is the units digit of (-748)/(-14) + (-72)/(-28) + t?
4
Suppose 4*x = 3*x - 6. Let d(v) = -6 - 3*v - 2*v + 7*v**2 - 10*v**2 + v**3 + 10*v**2. What is the tens digit of d(x)?
6
Let z(h) = -h**3 + 4*h**2 - h - 2. Let y be z(2). Suppose -4*c = 5*u - 2272, -y*u + 920 + 910 = -3*c. What is the tens digit of u?
5
Suppose -2*c + 4 = -5*w, 5*c = w - 0*w + 33. Suppose -6*u + c*u - 84 = 0. What is the units digit of u - ((-12)/28 + 22/(-14))?
6
Let x(b) = -52*b - 33. Let s be x(-6). Let j = s + -226. What is the units digit of j?
3
Suppose 0 = u + 5*y - 16 + 4, 4*u - 2 = 3*y. Suppose 0 = u*m - 6*m + 704. What is the hundreds digit of m?
1
Suppose 0 = -12*a + 3 + 33. Suppose -3*z = -4*l + 1793, 0 = -a*l - 2*z + 472 + 860. What is the units digit of l?
6
Let g = -2 + 47. Let j = -18 + g. What is the tens digit of (522/j)/(2/3)?
2
Suppose 4 = 55*k - 57*k, 0 = 2*b + 2*k - 5976. What is the tens digit of b?
9
Suppose -2 = -3*q - 110. Let y = q + 38. Suppose -y*w + 61 = 3. What is the tens digit of w?
2
Let h be (66 - 6)*(-16)/(-6). Suppose g = 4*g + 5*w + 480, -g - h = -5*w. Let s = g - -236. What is the units digit of s?
6
Suppose -3*a - y - 129 = 0, -y - 4*y + 172 = -4*a. Suppose 3*w - 216 - 199 = -m, 2*w + m - 277 = 0. Let o = a + w. What is the tens digit of o?
9
Suppose -m - 34 + 38 = 0. Suppose -m*v + 396 = 2*l, -v - 3*l + 8*l = -121. What is the hundreds digit of v?
1
Suppose 0 = n - 535 + 146. Let f = n + 33. What is the hundreds digit of f?
4
Let p(u) be the first derivative of u**4/12 + u**3/2 + 5*u**2/2 - 3*u + 16. Let x(z) be the first derivative of p(z). What is the units digit of x(-4)?
9
Suppose -5*y + d + 1 = 0, -5*y - 4 = -y + 4*d. Let a be 1 - (10 + -1 + y). What is the units digit of (138/4)/(a/(-16))?
9
Let f = 183 + -181. Suppose d - 1230 = -f*d. What is the units digit of d?
0
Let u(m) = -14*m**2 - 373*m - 14. What is the thousands digit of u(-18)?
2
Let x = -5428 - -14855. What is the units digit of x?
7
Let x = 845 - 580. Let q = x - 231. What is the units digit of q?
4
Suppose 4*k = 5*x + 54, -15*k = -14*k + 4. Let i = x + 373. What is the tens digit of i?
5
Let j(m) = -2*m**2 + 23*m + 36. Let z(f) = 3*f**2 - 35*f - 54. Let s(r) = -8*j(r) - 5*z(r). What is the tens digit of s(15)?
7
Let i = -8276 - -13258. What is the tens digit of i?
8
Suppose -3120 = -15*k + 2*k. Let h = 346 + -504. Let v = h + k. What is the tens digit of v?
8
Let s = -117 - -87. Let n = 121 - s. What is the tens digit of n?
5
Let m be (59/(-3))/(3/(-3 - -21)). Let i = 159 + m. What is the units digit of i?
1
Suppose 0 = 44*d - 3065 - 28703. What is the tens digit of d?
2
Let o(v) = -2*v**2 - 16*v - 30. Let k be o(-5). Suppose 43*r - 33*r - 4090 = k. What is the units digit of r?
9
Let q(f) = 7*f**2 + f + 10. Let v(y) = -11*y**2 - y - 15. Let b(c) = 8*q(c) + 5*v(c). Let o be b(-2). Suppose 0 = -o*x + x + 144. What is the tens digit of x?
7
Suppose -35773 = -4*j + 3*u, 0 = 5*j - 184*u + 182*u - 44711. What is the tens digit of j?
4
Suppose 3*c - 5*k - 156 = 0, -276 = 5*c - 10*c + 3*k. Suppose 136*v + c = 137*v. What is the tens digit of v?
5
Let a(r) = r**2 + 4*r - 6. Let c be a(-4). Let b be 84/60 - c/10. Suppose -2*m - m = 3*i - 195, 0 = -m - b*i + 62. What is the units digit of m?
8
Let d(t) = t**2 + 3*t - 4. Let b be d(-3). Let o be 30/b*(-112)/(-70). What is the units digit of (-36)/(-24)*(0 - o)?
8
Let k(n) = 3*n**2 + 10*n - 14. Let u be k(-6). Let o = 30 - u. What is the units digit of 198*(1/3 - o/24)?
9
Let j(d) = 6*d**2 - 15*d - 6. Let f be j(8). Suppose 1552 = 5*t - f. What is the tens digit of t?
6
Suppose -4*v = 4*o - 9584, 31*v = 3*o + 32*v - 7178. What is the units digit of o?
1
Let v(d) = 739*d + 238. What is the thousands digit of v(3)?
2
Let j(l) = 271*l**2 - 6*l - 1. Let x = 139 + -140. What is the hundreds digit of j(x)?
2
Suppose -64*d + 58*d = 30. Let s(p) = 6*p**2 - 4*p + 16. What is the units digit of s(d)?
6
Suppose -95*u + 87808 = -79*u. What is the units digit of u?
8
Suppose 5*k + 403 = 3*i + k, -5*k = -i + 127. Suppose -3*d - l = 409, d + 0*l + l + i = 0. Let j = -77 - d. What is the tens digit of j?
5
Let k(l) = -l - 57. Let r(o) = -11. Let j(z) = 6*k(z) - 33*r(z). What is the tens digit of j(-7)?
6
Suppose -11*g + 24 = -8*g. Suppose -8 = g*t - 448. What is the units digit of t?
5
Let s(b) = -354*b**2 + 353*b**2 + 239 + b + 2*b. What is the hundreds digit of s(0)?
2
Let p(k) = 3*k**2 + 0*k**2 - 1 + k**2 + 5. Let g be (-28)/6 - 7/(84/(-8)). What is the units digit of p(g)?
8
Let y(z) = 92*z**2 + 12*z - 48. What is the units digit of y(-9)?
6
Let b be (((-2)/4)/1)/((-5)/(-70)). Let y(d) = 25*d - 5. Let h be y(b). What is the tens digit of 11/((-33)/h) + 0?
6
Let d be (-2022 - 3)/(-4 - -3). Suppose 0 = 4*i + 181 - d. What is the units digit of i?
1
Let f(j) = 8*j + 51. Let g be f(25). Suppose 106 = k - g. What is the units digit of k?
7
Suppose 0 = -3*a - 6236 + 24863. What is the tens digit of a?
0
Suppose 0 = -109*i + 105*i + 1200. Let c = 103 + i. What is the units digit of c?
3
Let l be (0/(-4) - 3) + 6. Suppose 0 = 3*f - f + 3*i - 143, 0 = l*f + i - 218. Suppose -f = -a - 10. What is the units digit of a?
3
Let w(z) = 2*z**2 + 19*z - 64. Let l = -115 + 99. What is the hundreds digit of w(l)?
1
Suppose -20*y = -15*y + 4*u - 33332, 2*u = 4*y - 26650. What is the units digit of y?
4
Let o(a) = 28*a**3 - 2*a**2 + 4*a + 3. Let b(j) = 85*j**3 - 7*j**2 + 13*j + 10. Let x(h) = 2*b(h) - 7*o(h). What is the units digit of x(-2)?
1
Suppose 0 = -6*p + 7*p - 14. Let w(z) = 7*z - 3. Let v(k) = -14*k + 6. Let o(i) = 2*v(i) + 5*w(i). What is the units digit of o(p)?
5
Let j(m) be the third derivative of m**5/60 + m**4/2 + 23*m**3/6 - 3*m**2. Let n = -235 - -225. What is the units digit of j(n)?
3
Let r(x) = 12*x**3 - x**2 + 2*x. Suppose -2*i + 11*i = 36. Suppose -l - l = -i. What is the units digit of r(l)?
6
Suppose -5*n = 3*q - 1509, 4*q = 8*q - 3*n - 1983. Suppose -3*m + 802 = 5*w - m, 3*m + q = 3*w. What is the hundreds digit of w?
1
Let q(k) = 37*k - 25. Let y = -81 - -89. What is the hundreds digit of q(y)?
2
Let t be 6/(3 + (3 - 20/5)). Suppose -4*s + 1302 = -2*l, 3*s - t*l - 969 = -0*l. What is the tens digit of s?
2
Suppose 2*o + 4*n - 2358 = 0, -3*n + 2 = -4. What is the hundreds digit of o?
1
Let i be 54/45 + 1/(-5). What is the hundreds digit of (2/18 + 38080/153)/i?
2
Let y(h) = -3*h + 13. Let f be y(11). Let m = f - -22. Suppose m*d + 4*r - 160 = 0, -3*d - 6*r + 236 = -2*r. What is the units digit of d?
6
Let i(x) = x**2 + x + 174. What is the thousands digit of i(82)?
6
Let o(i) = -i**3 - 2*i + 4. Let v be o(2). Let p be ((1 - v/(-2)) + 3)/2. Suppose 2*d = 5*j - 0*d - 433, 3*j - 4*d - 257 = p. What is the tens digit of j?
8
Let d = 15 + -6. Suppose 3*j - 95 = 4*x + d, -140 = -4*j + 5*x. Suppose -3*u - o = -24, -4*u = u - o - j. What is the units digit of u?
8
Suppose -23 - 91 = -19*f. Let p(i) = i**3 + 20*i - 3. What is the tens digit of p(f)?
3
Suppose 2*o - 7*o = -5. Let k be (o + -8)*6/6. Let q = k + 50. What is the tens digit of q?
4
Suppose -5*k + 11 - 46 = 0. Let j be (k/(-28))/((-3)/(-36)). Suppose -5*p + 44 = -j*p. What is the tens digit of p?
2
Let i(a) = -2*a**3 - 37*a**2 - 3*a + 72. Let w(b) = -5*b**3 - 110*b**2 - 8*b + 216. Let k(c) = -8*i(c) + 3*w(c). What is the tens digit of k(34)?
7
Let w(a) = 2*a**2 - 37*a + 60. Let c(n) = -3*n + 39. Let j be c(5). What is the hundreds digit of w(j)?
3
Let a be 24 - (12/(-42) + (-16)/(-7)). Let d = a - -93. What is the tens digit of d?
1
Suppose 7*c - w - 32912 = 0, 50*c + 18802 = 54*c - 3*w. What is the thousands digit of c?
4
Let g(q) = -2*q + q + 52 - 47. Let k be g(6). What is the units digit of k - (-92 - 3/((-6)/(-2)))?
2
Let w(j) = 2*j**3 - 8*j + 7. Let c be w(5). Suppose -2*o + 621 = -c. What is the hundreds digit of o?
4
Suppose m + 3 - 5 = 0. Suppose 0 = -m*s - 3*o + 54, 2*s - 128 = 3*o - 50. Suppose -6*x + 93 = -s. What is the units digit of x?
1
Let b(j) = -7*j**3 - 15*j**2 - j - 3. Let h(f) = -6*f**3 - 14*f**2 - f - 2. Let s = -31 + 25. Let c(k) = s*h(k) + 5*b(k). What is the units digit of c(-8)?
3
Let s be (-2 + 1)/((24/(-4))/(-6)). What is the tens digit of s/((-1769)/(-295) - 6)?
9
What is the tens digit of ((-28)/(-3))/(1/(4245/29720) - 7)?
2
Let i be (-75)/(-35) + -2*5/70. Suppose i*t - 6 = -4. What is the units digit of t?
1
What is the units digit of -244*(15 - 868/16)?
7
Suppose -4*r = g - 61, 0 = -r + 3*g - 5*g + 10. Suppose -r*h + 2171 = 283. What is the hundreds digit of h?
1
Suppose -30*o - 46685 = -5*b - 33*o, -5*b + 46690 = 2*o. What is the hundreds digit of b?
3
Let v = -320 + 186. Let l(q) = -q**2 + 28*q + 174. Let k be l(-5). What is the tens digit of -12 + k - v/2?
6
Suppose -86 = -y + 166. Suppose -5*w = -4*s + 1008, -y = -s - 3*w - 2*w. What is the hundreds digit of s?
2
Suppose -15*u - 23*u + 532 = 0. Let p = 0 - -3. Suppose j = p*j - u. What is the units digit of j?
7
Let p = 314 + -130. What is the units digit of ((-135)/4)/((-69)/p)?
0
What is the units digit of 1 + -5 + (16504/2 - 0) - 6?
2
Let x be 2 - (-3)/(-1*2/(-6)). What is the tens digit of -1 - -4 - x/(44/(-488))?
2
Suppose -y = -42 - 18. Let v be 1/((-2)/4) + (-3228)/(-269). Let m = v + y. What is the tens digit of m?
7
Let h = -13812 + 23348. What is the units digit of h?
6
Let f(c) = 4153*c**2 + 11*c + 10. What is the tens digit of f(-1)?
5
Suppose 13*l + 33 = 24*l. Suppose 0 = -5*h + 2*h - l*n + 219, 2*n = -10. What is the units digit of h?
8
Let i = 5800 + -459. What is the tens digit of i?
4
Let s(l) = l**3 - 18*l**2 + 34*l - 35. Suppose -t + 4*j = -0*j - 25, -4*j = -4*t + 76. What is the hundreds digit of s(t)?
2
Let y(p) = 16*p**2 + 5*p + 190. Let r(o) = 13*o**2 + 4*o + 189. Let k(z) = 5*r(z) - 4*y(z). What is the units digit of k(0)?
5
Suppose 0*m = 4*m + 600. Suppose 6*a = 3*w + 2*a + 281, 0 = -4*w + a - 392. Let p = w - m. What is the units digit of p?
1
What is the units digit of (3/9)/((-1371)/(-10275) - (-2)/(-15))?
5
Let f(r) = r**3 + 6*r**2 + 6*r - 3. Let l be f(-4). Let b be l/5 + (30 - 1). What is the units digit of (-2156)/(-24) + 5/b?
0
Suppose -4*v + 942 = -4*d - 298, 5*d + 1239 = 4*v. What is the tens digit of v?
1
Let n(v) = -v**3 - 16*v**2 + 21*v - 25. Let a be n(-19). Let d = a - 325. What is the tens digit of d?
3
Suppose -2*a - 4*v + 16000 = 0, 15*v = -a + 20*v + 8000. What is the hundreds digit of a?
0
Let i be 9*(1 - (-9)/(-4))*4. Let m = -42 - i. Suppose r = -m*q - 2*r + 48, -2*q = -r - 41. What is the units digit of q?
9
Suppose 5*v + 52 = 27. What is the units digit of 1 + 431 + (v - -6)?
3
Let r(l) = 3 + 2 - 13*l + 5*l**2 + 19. What is the units digit of r(6)?
6
Let p = 11 - 0. Suppose r + 870 = p*r. Suppose h - 4*f - r = 0, 4*h + h = -3*f + 389. What is the units digit of h?
9
Let y = 12 + -9. Suppose 0*u + 129 = -y*p - 5*u, 5*u = -p - 53. Let r = -20 - p. What is the tens digit of r?
1
Let g = -20 + 93. Suppose 1578 = -g*r + 79*r. What is the tens digit of r?
6
Suppose 7*g - 2 = 6*g. Suppose 0 = -3*j + 2*k + 837, -k = j + g*j - 828. What is the units digit of j?
7
Let i(r) = -29*r - 54. Let m be i(-7). Let h = m - 37. What is the hundreds digit of h?
1
Let i(h) = 12*h - 17. Let q = -4 + 20. Suppose -8 = -2*b + 3*w + 16, 0 = -2*b + w + q. What is the units digit of i(b)?
5
Let s = 5457 - 2970. What is the hundreds digit of s?
4
Suppose -11 = -6*n + 7. Suppose -3*u = -3*y + 339, -309 = -0*y - 3*y - n*u. Let r = 155 - y. What is the tens digit of r?
4
Suppose 3*p + 2*p - 1055 = 0. Suppose 5*q - p = -h + 320, -4*q + h = -432. What is the units digit of q?
7
Suppose 0 = 5*i + 15. Let q be (10/i)/(1/(-51)). Suppose 5*l - 4*g = g + q, 0 = -2*l - 5*g + 40. What is the units digit of l?
0
Let c(h) = 716*h - 18. Let a be c(3). Suppose -8*g = -398 - a. What is the hundreds digit of g?
3
Suppose -2*u + 49 = -5*q, -u = 5*q - 5*u + 53. Let y be q/18 - (-3)/(-2). What is the tens digit of (-1)/((y*4/(-312))/(-1))?
3
Let l = 21 + -18. Let s be 0 - 2 - (l - (1 - 1)). Let c(j) = -j**3 - j**2 + 4*j + 1. What is the units digit of c(s)?
1
Let j = 2773 - -1694. What is the tens digit of j?
6
Let t(f) = -f**2 - 10*f - 2. Let p be t(-13). Let o = p - -41. Suppose -j + 391 = -o*k + 4*k, -4*j = -k + 119. What is the tens digit of k?
9
What is the tens digit of (29946/24 - -9)*4?
2
What is the thousands digit of -3 + (-9)/9*-5993?
5
Let u = 341 + -1394. Let q = -710 - u. What is the tens digit of q?
4
Let i(y) = 221*y**2 + 799*y + 13. What is the units digit of i(-8)?
5
Suppose l - 2402 = 2*b, 0 = -3*l - 8*b + 7*b + 7241. What is the units digit of l?
2
Let p be -3*3376/6*(-1)/4. Suppose -8*x - p = -1774. Suppose -2*q - 5*r + x = 0, 2*r - 4*r = -2*q + 148. What is the units digit of q?
7
Let i(o) = 348*o**2 + 2*o - 3. Let a = 114 + -113. What is the tens digit of i(a)?
4
Let m(b) = 7*b**2 - 3*b + 3. Let s be m(1). Suppose 0 = -s*l - 176 + 757. Suppose f = l - 26. What is the units digit of f?
7
Let d = 19319 + -12699. What is the tens digit of d?
2
Suppose -4*w = -t + 3*t - 28, 0 = -3*w - 2*t + 23. Suppose 0 = -w*b - 19 + 1934. What is the units digit of b?
3
Suppose 5*u - 2*q = 1297, -5*u + 2*u - 2*q = -791. Suppose 5*n = 4*d - 327, -d + u = -4*n + 2*d. What is the tens digit of (-4)/18 + (-1778)/n?
2
Suppose 95 = 8*u + 7. Let v = 162 + u. What is the units digit of v?
3
Let n = 780 + -766. Let x be (-22)/(-8) - 1/(-4). What is the tens digit of x/(-21) - (-296)/n?
2
Suppose 70*g - 4748 - 7708 = 62*g. What is the units digit of g?
7
Suppose 5*d + 94 = -11. Let w = d + 21. Suppose w*u = u - 42. What is the units digit of u?
2
Let n = 32442 - 23082. What is the units digit of n?
0
Let r = -158 - -158. Suppose r = 5*w - 5*v - 385, -5*w = -4*v - 132 - 254. What is the units digit of w?
8
Suppose 78*y - 61110 = 16*y - y. What is the units digit of y?
0
Suppose 9*f + 9580 = 19*f. Suppose 0*k - 5*k + 377 = 2*s, 3*k + f = 5*s. What is the tens digit of s?
9
Let g(i) = 11*i - 32. Suppose -2 = a + 5*y, 2*y + 9 - 45 = -5*a. What is the tens digit of g(a)?
5
Let w(s) = 56*s + 51. Let m be w(10). Suppose 1055 = 5*v - 2*h + h, 3*v - m = 5*h. What is the units digit of v?
2
Suppose 6 = -2*o + 12. Suppose -2*t - 519 = -5*t + o*p, -2*p + 8 = 0. What is the tens digit of t?
7
Let f(u) = u**3 + 11*u**2 - 14*u - 20. Suppose 0 = -2*d + 10*d + 96. Let c be f(d). Suppose -2*s - 6 = -c*s, -2*i + 117 = 5*s. What is the units digit of i?
1
Suppose 3*w = 3, n - 2 = -2*w - 5. Let r be n/(2 - -3) - (2 - -1). Let h = r + 91. What is the tens digit of h?
8
Let m = 7767 - 1485. What is the hundreds digit of m?
2
Let b = 470 + -286. Let k be (-2)/(390/393 - 1). Let i = k - b. What is the tens digit of i?
7
Let o(c) = -29*c - 44 + 4*c**2 + 27*c + 35*c. What is the tens digit of o(-15)?
6
Suppose -6*p + 9253 + 15719 = -5472. What is the hundreds digit of p?
0
Let a = -27 + 27. Suppose 2*g - 4*g + 12 = a. What is the units digit of (2 - g - 53)/(-1)?
7
Let t = -3453 - -9253. What is the thousands digit of t?
5
Let w = 2219 - -167. What is the tens digit of w?
8
Let t = 346 - -2944. What is the thousands digit of t?
3
Suppose 12 = 2*f + n, 10*n - 6*n - 16 = 0. Suppose 0*r = 4*r + 2*b - 1074, 0 = f*r + b - 1079. What is the hundreds digit of r?
2
Let l = 22 + -17. What is the tens digit of 1*63*21/15*l?
4
Let l(i) = 88*i**2 - 70*i + 429. What is the thousands digit of l(7)?
4
Let w = -4472 + 9081. What is the hundreds digit of w?
6
Let g = -33 + 37. Suppose -g*j + 1101 = -h, 0 = 2*h - 6. What is the tens digit of j?
7
Suppose -38*l + 109619 = -83383. What is the thousands digit of l?
5
Let w be (23/(-6))/((-15)/(-90)). Let x = -17 + 5. Let p = x - w. What is the tens digit of p?
1
Let a = 29 - 26. Let h be -1 + (162/a - 3). Suppose -5*d = -3*u - h, 3*d - 19 = -4*u + 40. What is the units digit of d?
3
Suppose -4 + 12 = q. Suppose 4*o = -4*z + 44, 0 = 2*o - 3*o + 2*z + q. What is the tens digit of 72 - (4/(-5))/(4/o)?
7
Let b = 15729 + -7074. What is the tens digit of b?
5
Let i = -181 + 185. Suppose n + d = 277, -1312 + 479 = -3*n - i*d. What is the units digit of n?
5
Suppose 24*j = 27*j + 9. Let s be -191 - (j - (-3 + -4)). Let y = -128 - s. What is the units digit of y?
7
Let k(f) = 2*f**2 + 13*f - 5. Let y be k(-7). Let j(u) = 23*u**2 - 26 + 9 - 20*u**y + u. What is the units digit of j(6)?
7
Suppose 2*n + 6 = -2*t, -8*t = -3*t - 5. What is the hundreds digit of -3*-898*n/(-24) + 1?
4
Suppose 32*d + 41400 = 38*d. What is the hundreds digit of d?
9
Suppose -3*x + 189 = 3*j - 261, 3*j - 490 = 5*x. Let o = -152 + j. What is the units digit of o?
3
Let m(b) = -6*b**2 + 18*b + 20. Let r(h) = -5*h**2 + 18*h + 21. Let z(v) = 2*m(v) - 3*r(v). What is the tens digit of z(-6)?
9
Let g = -3671 - -11705. What is the units digit of g?
4
Let b be 1*-2 + (5 - 5) + 540. Let i = b - 226. What is the tens digit of i?
1
Let y be -50 + 4 + 2/(-1) - -4. What is the tens digit of -1 + (-1)/1 + y/(-2)?
2
Suppose -2*x + 10 = 0, y - 3*y + x = -1. Suppose -4*h = -o - 16, o - 2*h - 12 = y*o. What is the tens digit of (124/6)/(-1 + o/(-6))?
6
Let r be (27/(-54))/((-2)/2768). Suppose -2*f + 3*a = -647, r + 291 = 3*f - 2*a. What is the hundreds digit of f?
3
Let q = -28 - 3. Let i = -21 - q. Let w = i + 16. What is the tens digit of w?
2
Suppose -50184 = 2*k - 18*k - k. What is the units digit of k?
2
Suppose b + 2*p = -0*p, -14 = -3*b + p. Let y be ((-3)/2)/(b/(-112)). Suppose n = y - 13. What is the units digit of n?
9
Let o(m) = 11*m**2 + 18*m + 24. Suppose 61 = -13*k - 17. What is the hundreds digit of o(k)?
3
Let b be 1202/12 + 28/(-24) + 1. Let m = b - -172. What is the hundreds digit of m?
2
Let t(n) = -n**3 + 32*n**2 - 13*n + 5. What is the thousands digit of t(7)?
1
Let c = 11078 - 6488. What is the thousands digit of c?
4
Let p be 1 - -50*(-5 + 3). What is the units digit of 8092/18 - 44/p?
0
Suppose 0 = 6*w - 2 - 22. Suppose -w*u = -7*u. Suppose -3*y = 5*f - 0*y - 133, u = -2*f + 3*y + 49. What is the units digit of f?
6
Let t(s) = s + 2*s**2 + 6 + 7*s**3 - 2 + 2*s**3 - 3*s**2. Let p be t(3). Suppose p = 5*d - 5*u - 144, 0 = 5*u - 15. What is the units digit of d?
0
Let g(s) be the second derivative of s**4/12 - s**3 - 9*s**2 + 8*s - 21. Let i(m) = -m**2 - 2*m. Let p be i(-4). What is the tens digit of g(p)?
9
Let o(n) = n**2 - 62*n - 326. What is the units digit of o(-46)?
2
Suppose -11*h = -6*h - 1950. Let j = 653 - h. What is the tens digit of j?
6
What is the thousands digit of (-166 - -4)/(-1 + 5 + 948/(-234))?
3
Let p(i) = i**2 + 26*i. Let z be p(-27). Suppose 35*w - 3448 = z*w. What is the hundreds digit of w?
4
Suppose 4*z = -4, 4*h + z = -z + 2. Let a be h/(-2) - (-765)/(-10). What is the tens digit of 9/(-12)*(a - 3)?
6
Let u = 109 - 37. Suppose 24 = -4*n + u. What is the tens digit of n?
1
Suppose 3*k + 3*p - 306 = 819, 0 = -3*k - p + 1121. Suppose -3*x + k = -167. What is the tens digit of x?
8
Suppose b = 2*c + 385, 7*c = -3*b + 2*c + 1111. Let l = 1 + b. Suppose -l = -5*f - y, y = -3*f - f + 302. What is the units digit of f?
6
Let g be -2*(8/(-56) + (-66)/28). Suppose q - 5*h = 486, g*q - 2*h = 2519 - 204. What is the tens digit of q?
6
Let v(k) = -k - 1. Let r(p) = 31*p - 40. Let d(b) = -r(b) - 5*v(b). What is the hundreds digit of d(-8)?
2
Let g(x) = -7*x + 35. Let v be g(14). Let m = -17 - v. What is the units digit of (-4)/(16/m)*-4?
6
Let y(t) = -t**2 - 5*t + 16. Let g be y(-7). Suppose 3 = n + 5*h - 16, g*h - 2 = n. Suppose 32 = n*a - 88. What is the units digit of a?
0
Let f = 4 + 2. Let t(m) be the first derivative of m**3/3 - 4*m**2 + 21*m - 58. What is the units digit of t(f)?
9
Suppose -5*i + 0*i = 0. Suppose 5*r - 5*t - 40 = i, 3*r + 2*r - 2*t = 46. Suppose -260 = 6*x - r*x. What is the tens digit of x?
6
Let i = 9216 + -5364. What is the units digit of i?
2
Suppose 7*v - 7 = 21. Suppose 0*s + v*z - 980 = -4*s, -2*z = -4*s + 992. What is the units digit of s?
7
Suppose 5*y + 1095 = w - 1212, -2*w - 4*y = -4544. What is the units digit of w?
2
What is the hundreds digit of (5344/6)/(2/9) + 228/76?
0
Let f(g) = -3*g**3 + 5*g**2 + 3*g - 67. Let t(z) = 2*z**3 - 4*z**2 - 2*z + 68. Let o(a) = 3*f(a) + 4*t(a). What is the tens digit of o(0)?
7
Let t(d) = 3*d**3 - 29*d**2 + 194*d - 27. What is the thousands digit of t(16)?
7
Suppose q - 7860 = -2*f + 293, 4*f + 12 = 0. What is the hundreds digit of q?
1
What is the hundreds digit of (1 - 2/10) + (-2468488)/(-440)?
6
Let b(h) = 3*h + 38 - 78 - 4*h**2 + 3*h**3 + 39. Suppose -4*o - 3*s = -14, -6*o + 2*o + s = -6. What is the tens digit of b(o)?
1
Suppose 3*q - 4558 = -r, 4*q - r - 4598 = 1491. What is the thousands digit of q?
1
Suppose -t = 4*v + 736, -2*t - 362 = -0*v + 2*v. Let w = 19 - v. Suppose 5*r + 4 = 4*p - 269, 3*p = 4*r + w. What is the tens digit of p?
7
Let w(a) = -a**3 + 18*a**2 + 31*a - 37. Let m be w(20). Let q = 221 + m. What is the units digit of q?
4
Let l = -192 + 195. Suppose -7*i + 2*b + 1112 = -l*i, 4*i - 1106 = 5*b. What is the tens digit of i?
7
Let b = -4 - -32. Suppose 2*p = 40 - b. Suppose 28 = u + 5*s, -2*u - 112 = -p*u + 3*s. What is the units digit of u?
8
Suppose -5704 = 5*i - 3*m, 3*i - 3*m + 1079 + 2347 = 0. Let a = -762 - i. What is the units digit of a?
7
Let x(a) be the second derivative of a**5/10 - 2*a**4/3 + 8*a**3/3 - 5*a**2/2 - 38*a. What is the units digit of x(7)?
1
Suppose f - p - 4193 = 0, f + 5*p - 2255 - 1932 = 0. What is the thousands digit of f?
4
Let d(k) = -11*k - 112. Let q be d(-10). What is the tens digit of (-16194)/(-45) + (12/(-45))/q?
6
Let d = -74 - -81. Let p(o) = -4*o**2 + o**3 + 7 - 3*o**2 + 3*o - o. What is the tens digit of p(d)?
2
Let a be (-56)/42*3/2. What is the units digit of 20724/228 - a/19?
1
Let m = -31 + 40. Let w(v) = -2*v**3 + 0*v + 11*v**2 + v**3 + 11 - 5*v + m*v. What is the tens digit of w(11)?
5
Suppose -28*s - 43983 = -62726 - 62345. What is the thousands digit of s?
2
Let f(n) = -3*n - 7. Let l be f(-3). Suppose -k = -l*j - 81, -5*k + j + 111 = -303. Suppose -4*v + w = 2*w - k, 4*v = 4*w + 88. What is the units digit of v?
1
Let x be 251/(-2) + 48/32. Let k = x - -401. What is the hundreds digit of k?
2
Let o = 4210 + 2066. What is the tens digit of o?
7
Let g(k) = -3*k**3 + 67*k**2 + 7*k - 92. What is the hundreds digit of g(15)?
9
Let s(j) = 1821*j - 406. What is the thousands digit of s(4)?
6
Let a be 8*4/(-5 + 1). Let l = -58 + a. Let z = 126 + l. What is the tens digit of z?
6
Suppose 0 = -113*c + 337605 - 70361 + 112436. What is the hundreds digit of c?
3
Let j(u) = u + 30. Let r be j(-15). Suppose 2*a + 7 = r. Suppose -2*i + a*k + 128 = 0, -4*i + 128 = -3*k - 103. What is the units digit of i?
4
Suppose 0*i + 3*i + 311 = 2*a, 0 = a - 3*i - 160. Let p be ((-682)/155)/(2/40). Let d = a + p. What is the tens digit of d?
6
Let b(l) = -l**2 + 10*l + 27. Let x be b(12). Suppose 0 = -11*g + 19 + x. What is the units digit of g?
2
Let x = -1365 + 1329. Let t be 108/(1 - -1) + -1. Let m = t + x. What is the units digit of m?
7
Suppose 5*m - 356 - 464 = 0. What is the units digit of (2/4)/(3 + (-490)/m)?
1
Suppose 0*c = -2*c + 2, -2*c = 4*v - 158. Let o = -58 + 62. Suppose -o*l - v + 291 = 0. What is the units digit of l?
3
Let y = 61 - 144. Let w be (7 + 2)*47/3. Let v = w + y. What is the units digit of v?
8
Let l = -338 + 216. Let x = l + 535. What is the hundreds digit of x?
4
Let a = 4443 + 742. What is the tens digit of a?
8
Let u be 2 + (11 - (-1 + 0)). Suppose -u*v + 580 = -4*v. Let b = v + 33. What is the tens digit of b?
9
Suppose 0 = -2*k - 5*c + 50, 0*k - 3*c - 125 = -5*k. What is the units digit of 108*5/(k/15)?
4
Suppose 3*d + 6 = 0, -u - 5*d = 232 - 42. Let k(j) = -27*j. Let a be k(4). Let t = a - u. What is the units digit of t?
2
Let c be 54/4*748/66. Let u = c + 84. What is the tens digit of u?
3
What is the tens digit of ((-5286)/(-4))/((-513)/(-684))?
6
Let z(u) = -3*u + 24*u + 28 + 12*u + 33*u. What is the tens digit of z(6)?
2
Suppose 5*k + 3*a + 15 = 0, -2 - 13 = -k + 3*a. Suppose -6*r + 756 = -k*r. What is the hundreds digit of r?
1
Suppose -2*n - 35 = -41. Suppose -3*h + 1149 = -4*r, -n*h + 0*r + 1146 = -3*r. What is the tens digit of h?
7
Suppose -4*u - 43071 = -5*a, 5*a - u + 7454 - 50528 = 0. What is the thousands digit of a?
8
Suppose -5*o + 15*o = -22546 + 56226. What is the hundreds digit of o?
3
Suppose 0*z - 27838 = -4*z - 5*v, 4*z - 2*v = 27824. What is the hundreds digit of z?
9
Suppose 3*c = -4*h + 24964, -15*c + 2*h + 24994 = -12*c. What is the thousands digit of c?
8
Suppose 2*n = 0, 11*m - 4*m - 3*n = 5*m + 12032. What is the hundreds digit of m?
0
Suppose 0 = -60*c + 65*c - 85. Suppose c*z - 2240 = 7*z. What is the hundreds digit of z?
2
Let y be ((-6)/15)/((-5)/25675). Suppose 0*t = t - 3, y = 5*h + 3*t. What is the tens digit of h?
0
Let m = -95 - -91. Let q = -198 + 132. What is the tens digit of 3/q*-964 + m/(-22)?
4
Suppose 12 = 2*u + 2*v, 8 = -3*u - 2*v + 25. Suppose 486 = z - o + 89, -4*z + u*o = -1584. What is the units digit of z?
1
Let a(d) = -2*d**3 - 23*d**2 - 7*d - 19. Let p be (12/27*6)/((-40)/180). What is the units digit of a(p)?
9
Let d = 18 - 15. Suppose -k + c - 18 = -d*c, -10 = -2*c. Suppose -90 - 32 = -k*f. What is the units digit of f?
1
Suppose 8 + 32 = -5*w. Let g be (-19)/w - 18/48. Suppose 5*o = 5*b + 45, 0 = -g*o - 0*o + b + 20. What is the tens digit of o?
1
Let y be (-327)/(-18) - (-9)/(-54). Let x be 5/(-2)*(-6)/5. Suppose -4*c = -2 + 10, y = f - x*c. What is the tens digit of f?
1
Suppose 0 = -2*a - 2*j + 9222, -a = -4*j - 2638 - 1998. What is the thousands digit of a?
4
Suppose 7 = -2*g + 8*a - 3*a, 4*a = -4*g + 28. Suppose -b + g*y = -37 - 42, -5*y - 80 = -b. What is the tens digit of b?
7
Suppose 0 = w - 0*w - 16. Let t be 39/(-2) - (-4)/w*2. Let s(a) = -a**2 - 21*a - 7. What is the tens digit of s(t)?
3
Suppose -2*b + 3*b = -5*k + 27, -2*k = b - 12. Suppose -19*q + 2702 + 2808 = 0. Suppose 3*y + b = q. What is the tens digit of y?
9
Suppose -11*d + 19057 + 10581 = -4*d. What is the hundreds digit of d?
2
Let l be ((-15)/2)/((-14)/84). What is the tens digit of 14250/l - (-2)/(-3)?
1
Suppose 7*w = 20*l - 24*l + 25433, w = l - 6361. What is the thousands digit of l?
6
Let b = 4516 - -483. What is the hundreds digit of b?
9
Suppose 0 = 26*y - 6381 - 691. Let p = y - 109. What is the units digit of p?
3
Let i = 10771 + -1149. What is the thousands digit of i?
9
Let q(m) = m**2 + 18*m + 5. Let d be q(-16). What is the units digit of (-1530)/d - (7/(-3) + 2)?
7
Suppose -y = 3*y + 3*q - 679, 0 = q - 1. Suppose 0 = -5*g + 5*k + 715, -3*k = g - y + 34. What is the hundreds digit of g?
1
What is the tens digit of 447 + 0 + (-108 - -121)?
6
Let w(k) be the first derivative of k**4/4 + 31*k**3/3 - 35*k**2/2 - 51*k + 57. What is the units digit of w(-32)?
5
Suppose -2*p = -0*m + 3*m, -3*m = -p. Let o(y) = 7*y + 209. Let i be o(-29). Suppose m = 4*w + i - 290. What is the units digit of w?
1
Let d(p) = 8*p - 72. Let q(x) = x - 2. Let u(k) = 2*d(k) - 22*q(k). What is the tens digit of u(-24)?
4
Let y(x) = 7 - 8*x - 5 - 4 - 3*x. What is the tens digit of y(-30)?
2
Let d(s) = -2*s**3 + 10*s**2 + 14*s - 13. Let j be d(6). Let o(h) = -h - 8. Let y be o(-7). What is the tens digit of (j + 1 - (37 + -5))/y?
3
Let l(p) = -p**2 + 3*p + 7. Let r(t) = -t**3 + 2*t**2 - 10*t - 22. Let j(n) = 8*l(n) + 3*r(n). What is the units digit of j(-3)?
1
Let l be (168/(-70))/((-2)/5). Let z be -3*4/(-6)*(l + -4). Suppose 0 = z*d - 0*d + 5*j - 240, -5*j = -2*d + 90. What is the tens digit of d?
5
Let s be (6870/25 - 0) + (-2)/(-10). Let p = 515 - s. What is the tens digit of p?
4
Let h(k) be the third derivative of -k**6/120 - k**5/6 - k**4/3 + 17*k**3/6 - 21*k**2. What is the units digit of h(-9)?
8
Suppose z + 571 = -3*n, 0 = -n - 0*n + 4*z - 199. Let w = -74 - n. What is the hundreds digit of w?
1
What is the units digit of ((-2)/13 + (-220)/429)*-7416?
4
Suppose 1 = 2*n - 11. Suppose 9*z = n*z + 9. Suppose -8 = z*m - 188. What is the units digit of m?
0
Let x be -22*(-6 + -2)*2*-1. Let n = -114 - x. What is the tens digit of n?
3
Suppose 7330*y + 9768 = 7334*y. What is the units digit of y?
2
Suppose 80*f - 76*f + 2360 = 0. Let m = f + 874. What is the hundreds digit of m?
2
Let h = -9278 + 15634. What is the hundreds digit of h?
3
Let j(f) = 267*f - 1806. What is the thousands digit of j(12)?
1
What is the thousands digit of (6 + 1 + 2310/(-350))/(1/9970)?
3
What is the units digit of (1/1)/((-25)/(-10850))?
4
Let x(n) = -1218*n - 137. What is the hundreds digit of x(-8)?
6
Let x(k) = -12*k + 38. Let a be x(3). What is the units digit of (-9 + -1)/(a/(-4))?
0
Suppose -42*r + 32*r = 49*r - 295413. What is the thousands digit of r?
5
Let n(x) = 122 + 194 + 19 + x - x**2. What is the tens digit of n(0)?
3
Let k(o) = 156*o**2 - 4*o + 10. Let g(r) = -104*r**2 + 3*r - 7. Suppose -10 = -13*l + 11*l. Let d(s) = l*k(s) + 7*g(s). What is the tens digit of d(-1)?
5
Suppose -7*n = 3*q - 24890, -2*n + 8 = 4. What is the units digit of q?
2
Let f(w) be the second derivative of -w**5/20 + w**4/12 + 187*w**2/2 + 12*w - 1. What is the tens digit of f(0)?
8
What is the thousands digit of ((-18)/8)/(87/(-74472))?
1
Let k(l) = 2*l**2 - 38*l - 499. What is the hundreds digit of k(-13)?
3
Suppose -2*z = -z + 4. What is the hundreds digit of 3792/26 + z/(-26)?
1
Let j = -18098 - -27431. What is the hundreds digit of j?
3
Let f = -5215 - -13137. What is the thousands digit of f?
7
Let c(l) = 10*l + 2. Suppose 2*b - 11 = -2*h + 1, 2*b - 27 = h. Suppose 2*j = -4*x + 28, 6*j - b = 2*j + x. What is the tens digit of c(j)?
4
Let z(j) = -j + 10. Let p be z(7). Suppose -2*u + 6*h - 8 = 2*h, 0 = u - p*h + 8. What is the tens digit of 162*-1*(-2)/u?
8
Let j(x) = x**3 - 15 - x + 59 + 43. Suppose -3*h - 4*p = -9 - 11, -3*h + 10 = 2*p. What is the units digit of j(h)?
7
Let m = -168 + 292. Suppose k + 0*s = s + m, -k - 2*s = -127. Suppose 2*i - 5*j - k = -3, -8 = -4*j. What is the units digit of i?
6
Suppose -3*x + f + 3*f - 10 = 0, -8 = 4*f. Let v(t) = -t**3 - 6*t - 35. What is the tens digit of v(x)?
1
Suppose 45*g + 6492 = 24*g + 25*g. What is the tens digit of g?
2
Suppose -32 = -3*p + 4*v, -3*p = -0*v + 3*v - 18. Suppose -5*r - 216 = -p*r. What is the units digit of r?
2
Let l(m) = -m - 4. Let a be l(-6). Let c be (a/(-4))/((-2)/(-72)). Let h = 108 + c. What is the units digit of h?
0
Let m = 43 - 43. Let a = m - -6. Suppose 56 + 4 = a*h. What is the units digit of h?
0
Let q(z) = z**2 + 15*z + 38. Let v be q(-11). What is the hundreds digit of (v - (-4 + 2)) + 342?
3
Let h be -528*(2/(-6) + -3). Suppose 5*x - h = 80. What is the tens digit of x?
6
Let g(x) = -2*x**3 + 11*x**2 + 3*x + 2. Let r be g(6). Let j = -10 - r. What is the units digit of 598/j - 6/18*-1?
0
Let z(s) = -4*s + 22. Let u be z(3). Suppose -6*x = u*x - 6336. What is the tens digit of x?
9
What is the units digit of 48/((2 + -3)*1*(-8)/1592)?
2
Let t = 496 - 281. Suppose -i + u + 148 = 0, -t - 93 = -2*i - 2*u. What is the tens digit of i?
5
Let v = 736 + -199. Let h = -205 + v. What is the hundreds digit of h?
3
Suppose 4*w = -2*b + 7*b + 36711, 0 = 5*w - 5*b - 45895. What is the units digit of w?
4
Let m(b) = 145*b**2 - 13*b + 99. What is the hundreds digit of m(5)?
6
Let u(l) = -2*l + 35. Let o be u(-14). What is the hundreds digit of 5450/14 + 4 + (-270)/o?
3
Let v(l) = 22*l - 22. Let n be v(11). Suppose -4*x + n = -6*x. Let a = x - -185. What is the units digit of a?
5
What is the units digit of (0 + 9 + -4)/(-1)*(-2236)/4?
5
Let w(q) = 25*q**2 - 3*q - 5. Suppose -j + 4*k = 4 + 9, 3*j = -4*k + 25. What is the units digit of w(j)?
1
Let u = 1146 - 186. Suppose 23*g + u = 27*g. Suppose -2*b - b = -g. What is the units digit of b?
0
Suppose 890 = 16*q - 68503 - 19839. What is the tens digit of q?
7
Let m(o) = -4336*o + 7. Let t be m(-2). What is the hundreds digit of t/45 - (28/30)/(-7)?
1
What is the hundreds digit of ((-3729)/55)/((3/84)/(15/(-12)))?
3
What is the thousands digit of ((-20)/(-140))/((-2)/14)*1162/(-1)?
1
Let g be 9/(45/400) - 6. Let m = g + 283. What is the units digit of m?
7
Suppose 0 = 2*j - 7*j - 5*l - 45, 3*l - 9 = 3*j. Let s(d) = -2*d - 15. Let b(w) = -5*w - 15. Let x(i) = 4*b(i) - 3*s(i). What is the tens digit of x(j)?
6
Let d(y) = y**2. Let c(o) = -4*o**2 + 14*o - 16. Let l(q) = -c(q) - d(q). What is the units digit of l(14)?
8
Suppose -4*u + 4 - 2 = -2*m, 3*m + 5 = 4*u. Let k(d) = -31*d - 39. What is the units digit of k(m)?
4
What is the tens digit of 72/(-132) + (-228)/66 - (0 - 7152)?
4
Let p be -1*1 - 12/4. Let h be p - 0 - (7 - 11). Suppose -2*a + 0*a + 106 = h. What is the tens digit of a?
5
Let b(c) = 7*c**2 - 12*c - 1. Let i = -140 - -148. What is the tens digit of b(i)?
5
Suppose -2*h = 4, 3*f - 5*h + 3*h = 6259. Suppose f - 357 = 24*x. What is the units digit of x?
2
Let a be 18/((-4)/(6/(-3))). Let g = -30 + 105. Let o = a + g. What is the tens digit of o?
8
Let u = 6 - -23. Suppose 26*x - u*x + 72 = 0. What is the units digit of x?
4
Let p = 3672 + -283. What is the tens digit of p?
8
Let w(u) = 85*u + 828. What is the thousands digit of w(52)?
5
Let v(z) = -400*z - 560. What is the hundreds digit of v(-2)?
2
Let p = -1447 - -1450. Suppose -10 = -3*j - 2*j. Suppose 0 + 5 = j*y - w, y = -p*w - 1. What is the units digit of y?
2
Let s(t) = -1740*t. Let u(v) = -47*v. Let o(d) = -2*s(d) + 75*u(d). What is the units digit of o(-3)?
5
Suppose -r + 2*b = -2*b + 10, 3*r + 5*b - 38 = 0. Suppose -r*j - 114 = -7*j. Let z = j - 69. What is the tens digit of z?
4
Suppose 4*m + 3*q - 12777 - 15015 = q, -2*q = 0. What is the tens digit of m?
4
Suppose 4*r - s = 86, 6*s - 5*s - 2 = 0. What is the tens digit of (-75536)/(-176) - 4/r?
2
Suppose -4*m + 0*a - a = -82, -78 = -4*m + a. Suppose -4*s + m = -8. Suppose -b = t - 59, t - 53 = -2*b + s*b. What is the units digit of t?
8
Let c(s) = 2*s**2 - 113*s - 134. What is the hundreds digit of c(-27)?
3
Let n = -111 + 110. What is the units digit of (1*14)/(72/(-88) - n)?
7
What is the units digit of ((183057/6)/7)/((-20)/(-40))?
7
Let d be ((-6)/(9 + -3))/((-2)/(-4)). What is the units digit of (1 - d) + (-7 - -88)?
4
Let p be ((-135)/(-20))/(1/(-4)). Suppose 24*s + 444 = -156. Let u = s - p. What is the units digit of u?
2
Suppose -87*w + 149539 + 52761 = -17*w. What is the units digit of w?
0
Suppose 100*b - 40*b = -75*b + 537975. What is the units digit of b?
5
Let i = -976 - -607. Let j = i - -735. What is the tens digit of j?
6
What is the tens digit of 6 - (-4)/(-8)*2*(-168 - 0)?
7
Let f(n) = -68*n - 2110. What is the hundreds digit of f(-66)?
3
Let p(n) = -n**3 - 8*n**2 - 4*n - 11. Let a be (-12)/10*(21 - (-3 - -4)). Let f = a - -16. What is the units digit of p(f)?
1
Let l(a) = 5*a**2 + 33*a + 21. Let w(b) = b**2 + b. Let c(q) = -l(q) + 4*w(q). What is the units digit of c(-28)?
7
Let s = 11696 + -2330. What is the units digit of s?
6
Suppose 2*g - q - 9 = 8, q = -4*g + 19. What is the units digit of 147/98*1312/g?
8
Suppose l - 4*t = 480, 5*t + 330 = l - 148. Suppose -6*x + 4*x = -l. What is the units digit of x?
4
Suppose 5*g - 3*u - 191 = 0, 3*g - 5*u = 98 + 7. Suppose 124 = 4*s + k - 48, s = -k + g. What is the units digit of s?
4
Let t(q) = -q**2 - 11*q + 13. Let b be t(-11). Suppose 4*w - 5 = -4*i - b, -i - 3*w - 12 = 0. What is the tens digit of i*(-128)/(-6)*1?
6
Let r be 4/(-26) - (-452832)/104. What is the hundreds digit of r/10 + ((-6)/5)/3?
4
Let y = 3923 - -2979. What is the units digit of y?
2
Suppose 3*q - 4*j = -16, 2*q = -2*j - 1 + 9. Suppose q = 4*r - 5*r + 5. Suppose -t + 152 = t + r*d, 2*t - d = 128. What is the tens digit of t?
6
Let w(l) = 8*l - 6. Let s(i) = -i**3 + 13*i**2 - 10*i - 15. Let d = -50 + 62. Let c be s(d). What is the units digit of w(c)?
6
Suppose k - 4771 = -5*a, 2*a = k + 3*a - 4751. What is the tens digit of k?
4
Let b be ((-2546)/8)/((-5)/20). Suppose -4773 = -10*t - b. Suppose 0 = 9*h + 134 - t. What is the units digit of h?
4
Suppose 4*v + 4*m = 5*m + 3281, -5*v + 4105 = -5*m. Let a = v + -355. What is the hundreds digit of a?
4
Let g(j) = 7994*j**2 - 9*j + 10. What is the thousands digit of g(1)?
7
Suppose -11*v - 16 - 28 = 0. What is the units digit of (6/v)/(1/(-42))?
3
Let s(z) = -z**3 + z**2 - z + 42. Let v be s(0). Let i be (-25)/(-75)*-12*3/(-2). Suppose -78 - v = -i*c. What is the units digit of c?
0
Let t(b) = 3*b**2 + 23*b - 13. Let x(m) = -2*m**3 + m + 1. Let d be x(-1). Suppose d*n - i + 2*i = -25, -4*n - i = 47. What is the units digit of t(n)?
7
Suppose -3328 = -3*g - b, 0*b - 5535 = -5*g - 4*b. What is the units digit of g?
1
Let n(z) = -z**2 - z + 18. Let i be n(-5). Let y be 108/(-21) + i/(-14). Let a(q) = 4*q**2 + 9*q + 9. What is the units digit of a(y)?
4
Suppose 0 = -4*l + 20 + 344. Let q = -177 - l. What is the units digit of 2 + 3*q/(-12)?
9
Suppose -5*w + 206 = 66. Let y = 24 - w. What is the tens digit of (6/y)/((-15)/890)?
8
Let l be 4 - (2 + -2) - -2. Let j be -2 - (-4 + l)/1. What is the units digit of (j + 116/(-10))/(2/(-10))?
8
Let g = -4620 + 10213. What is the hundreds digit of g?
5
Let x = 4321 + -646. What is the thousands digit of x?
3
Let q be (2667/6)/(4/8). Suppose -3*n + 381 = -2*i - 284, q = 4*n - 5*i. What is the hundreds digit of n?
2
Suppose -2750 + 950 = -12*y. Suppose -5*o + 34 = 2*i - 156, 2*i = -4*o + y. What is the units digit of o?
0
Let p(m) = -m**3 - 6*m**2 - 5*m + 2. Let z be p(-5). Let b(g) = -4*g + 1 - z*g + g**2 + 6. What is the tens digit of b(-6)?
7
Let u = -37 + 43. Suppose 175 = w + u*w. Let s = 36 - w. What is the units digit of s?
1
Let f = -1527 + 5176. What is the tens digit of f?
4
Let g = -59 + 99. Suppose 15*f - 10*f - g = 0. What is the units digit of f?
8
Suppose -19*a + 17*a + 467742 = 64*a. What is the units digit of a?
7
Suppose -5*k = -12*k + 3486. Suppose 5*x = 3*x + k. What is the units digit of x?
9
Let r(h) = h**3 - h**2 + h - 1. Let z be r(2). Let t = z - -3. Suppose 4*m = v - t - 47, -m - 165 = -3*v. What is the tens digit of v?
5
Suppose 0 = -2*d - 3*d - 4*w + 29, 19 = 4*d - w. Suppose -4*m = d*p - 1972, 2*m = -5*p - 3*m + 1970. What is the units digit of p?
6
Let v be (-21)/(-84) + (-21)/4. Let f be -68*((-4 - v) + -3). Suppose -6*l + 10*l = f. What is the tens digit of l?
3
Suppose 12 = -4*p - 0*i + 4*i, 4*p = -5*i - 39. What is the units digit of 18/p + 0 - -199?
6
Suppose 17*r = 16*r + 2*a + 9524, 2*r - 3*a = 19047. What is the thousands digit of r?
9
Let l = 23855 - 14909. What is the tens digit of l?
4
What is the units digit of 3246/(9 + 15/(-2))?
4
Let q = -25 - -28. Suppose -x - 2 = 0, 625 = q*z - 5*x - 204. What is the units digit of z?
3
Let x = -52 - -62. Suppose -x*f + 1942 + 1898 = 0. What is the units digit of f?
4
Let v(c) = c**2 - 7*c + 23. Let t = 37 + -37. Suppose t*s = -3*s + 36. What is the units digit of v(s)?
3
Suppose -14*t - 35 - 133 = 0. What is the hundreds digit of 4 + 8/t*-174?
1
Let j(m) = 0*m + 0 - 2*m + 2 - 4*m**2 + 5*m**2. Let c be j(3). Suppose 0 = -c*p + 3*q + 148 + 27, 3*p + q = 119. What is the units digit of p?
8
Let b = -164 + 456. Let l = 421 - b. What is the units digit of l?
9
Suppose -6*j + j = -8135. Suppose 6 = p + 3, 5*r - j = -4*p. What is the units digit of r?
3
What is the tens digit of (-28115)/(-4) + 2/8 + (-19 - -15)?
2
Let d(q) = q**3 + 21*q**2 + 19*q + 23. Let r be (-2 + 1)/5*-25. Suppose 0 = r*o - 4*o + 20. What is the units digit of d(o)?
3
Let k = -467 + 669. Suppose -17*x = -5676 + k. What is the hundreds digit of x?
3
Let u be 5 + 2/(-2 + 4). Let j be (0 + u)*24/(-9). Let v(c) = -c**2 - 20*c - 2. What is the units digit of v(j)?
2
Suppose -3*o - 2*l + 74 = 0, -4*o + 5*l = -88 + 20. Let p = o - -121. What is the tens digit of p?
4
Let n(r) = r**3 + 8*r**2 - 7*r - 13. Let a(i) = 2*i + 20. Let t be a(-5). Suppose -4*m = t + 6. What is the tens digit of n(m)?
7
What is the hundreds digit of (13986/8)/(((-528)/(-128))/11)?
6
Let x be 6 + ((-8)/(-2) - 2). Let k(t) = t**3 - 9*t**2 + 10*t - 1. Let y be k(x). Let c = 40 - y. What is the units digit of c?
5
Let j(v) = 18*v**3 - 24*v**2 - 2*v - 26. What is the hundreds digit of j(6)?
9
Suppose -4*a - 226 = -2*p, 2*p - 2*a + 8 - 224 = 0. Let k = p - 39. Suppose -19*n = -15*n - k. What is the tens digit of n?
1
Let c be (-2)/(40/(-12))*-15. What is the units digit of 279 + (-48)/(-36)*c/(-4)?
2
Suppose 4*u - 14403 = 1651*l - 1646*l, -14412 = -4*u - 4*l. What is the hundreds digit of u?
6
Let d(g) = -25*g + 52. Let s be d(-6). Suppose -7*b + 204 = -s. What is the units digit of b?
8
Suppose 5*g + 2955 = 3*p, -4*g + 2905 + 1067 = 4*p. What is the hundreds digit of p?
9
Let c be -157 + 2*25/10. Let b = c - -267. What is the hundreds digit of b?
1
Let i = -696 - -380. Let j = -168 - i. What is the tens digit of j?
4
Let k(q) = 2*q - 27. Let t be k(15). Let x(h) = -h**t + 5*h**2 + 3*h - 8 + h**2 - 4*h**2. What is the tens digit of x(-4)?
7
Suppose -215*l + 49*l = -1118552 + 313784. What is the hundreds digit of l?
8
Let t(m) = -2*m + 8*m**2 + 13*m**2 - 8*m**2 + 2*m + m. Let r = 7 - 5. What is the tens digit of t(r)?
5
Let w(l) = -2*l - 19. Let q be w(-12). Suppose -i = -2*x + 1, -4*x - 2*i = -2*x - 16. Suppose -3*g + x*a = -249, a - 2*a = q. What is the tens digit of g?
7
Let r = -87 - -86. Let t(a) = 25*a**2 - 4*a - 5. What is the tens digit of t(r)?
2
Let k be 1/(((-12)/10)/(-6)). Let z be (-2)/5 + 12/5. Suppose -k*a = -z*i + 207, -a + 133 - 33 = i. What is the tens digit of i?
0
Let n be (-8)/14 + 36/63. Suppose n = 3*z + 6 - 18. Suppose -j - 1 = 0, -z*y = -3*y - j - 26. What is the units digit of y?
5
Suppose -491 = 5*o - 2311. What is the units digit of o?
4
Suppose -14 = 2*v - 3*v - 5*x, -4*v - 2*x = -20. Suppose v*p - 991 - 557 = 0. What is the units digit of p?
7
Let r(d) = 10*d + 6*d**3 - 292*d**2 + 140*d**2 + 144*d**2. What is the hundreds digit of r(4)?
2
Let o = -84 + 75. What is the tens digit of -3*(294/o - 0/(-1))?
9
Suppose -85 = o - 5*s - 1250, s - 5851 = -5*o. Suppose -2290 - o = -10*t. What is the units digit of t?
6
Let g(n) = n - 6. Let v be g(8). Let q(a) = a**3 + 8*a**2 - 9*a - 37. Let r be q(-8). Suppose 155 + r = v*h. What is the tens digit of h?
9
Let s = -21950 + 31942. What is the hundreds digit of s?
9
Let m(c) = -11*c - 25. Let p(t) = -10*t - 26. Let b(y) = 5*m(y) - 6*p(y). Let h = 32 - 23. What is the units digit of b(h)?
6
Suppose 7 + 5 = 4*q. Suppose 3*c + u = -2*u, q*c - 8 = u. Suppose 3*t - 2*a = 23, -c*a = t + 1 + 2. What is the units digit of t?
5
Let h(m) be the third derivative of -m**6/120 - m**5/12 - m**4/4 - m**3/2 - 11*m**2. Let g be h(-4). Let b(j) = 20*j - 19. What is the units digit of b(g)?
1
Let o(p) = 9 + 112*p + 4 - 5*p + 7. What is the hundreds digit of o(3)?
3
Let x(j) = -4*j + 287. Suppose 0 = d + 3*d. What is the units digit of x(d)?
7
Let l(q) = -12*q + 78. Let r(d) = 12*d + 12. Let u be r(-3). What is the units digit of l(u)?
6
Let g(x) = x**2 - 3*x - 20. What is the tens digit of g(19)?
8
Suppose -5*q = 4*y - 35, 2*y - 25 = 2*q + 3*q. Suppose -y*f - 948 = -13*f. What is the units digit of f?
6
Let s(x) = x + 8. Let d be s(-4). What is the units digit of d - 4/((-20)/2235)?
1
Let z = -29 + -101. Let v = 251 + z. What is the tens digit of v?
2
Suppose -5*x - 12 = 5*a + 43, -4*a + 5*x = 26. What is the units digit of (-2676)/a*24/16?
6
Suppose 67 - 13 = 6*w. Suppose -w*v - 1005 = -14*v. Suppose 4*l + 2*z - 160 = 0, 5*l = -z - 2*z + v. What is the tens digit of l?
3
Suppose 2*h = -3*l - 6908 + 31605, 3*l = 3*h + 24687. What is the units digit of l?
1
Suppose 15*p = 23*p + 5*p - 99736. What is the units digit of p?
2
Suppose 0 = 5*j + 5*v + 10, 0 = 2*j + 4*v + 9 + 3. Suppose 58 = i + 5*u + j, 2*u = -2. What is the tens digit of i?
6
Suppose -g - 2*x = -9, g = -0*g + 3*x + 19. Suppose 0 = -3*a - g + 10, -4*j = 2*a - 558. What is the tens digit of j?
4
Suppose 0 = 2*l + 151 + 2675. Let x(k) = -k**3 - 3*k**2 + 10*k - 5. Let h be x(-5). What is the units digit of (-3)/15 + h/(75/l)?
4
Suppose -2*j = -0*j - 8. What is the units digit of j + ((-218)/5)/(12/(-30))?
3
Let o(t) = 72*t**2 - 119*t - 9. What is the hundreds digit of o(8)?
6
Let b = 15350 - 5730. What is the thousands digit of b?
9
Let h(j) = j + 6. Suppose -2*u - 5 = -c + 4, 2*u + 2*c + 24 = 0. Let v be h(u). What is the units digit of v*3*108/(-18)?
8
What is the tens digit of (2 - 2806)*(-6)/((-72)/(-42))?
1
Suppose 73*i - 142415 = 83309 - 5921. What is the thousands digit of i?
3
Let l = -3046 - -8055. What is the thousands digit of l?
5
Suppose 0 = 4*c - 5*q - 28, 4*c = 4*q - 3*q + 44. Let u = 133 - c. What is the units digit of u?
1
Suppose 53271 + 31979 = -t + 11*t. What is the tens digit of t?
2
Let g(m) = 11*m + 1. Let s be g(-2). Suppose -5*v - t + 203 = -360, -t = -3. Let k = s + v. What is the tens digit of k?
9
Let z = -997 + 2545. Suppose 4*l + 4*c - z = 0, -460 = -l - 2*c - 73. What is the tens digit of l?
8
Let d be 9/(63/14)*1/(-2). What is the units digit of (17/(-2))/(d/42)?
7
Let a = -24 - -2. Let x = -22 - a. Let r(j) = j + 37. What is the tens digit of r(x)?
3
Let j(g) = g**2 - 7. Let f = 50 + -34. Let p = -10 + f. What is the units digit of j(p)?
9
Suppose 79576 - 233945 = -25*o + 77456. What is the hundreds digit of o?
2
Let p be (3/(-9))/(-1)*87. Let j = p + -22. Suppose -l - 2*h + 51 = 0, 2*l - 3*h + 241 = j*l. What is the units digit of l?
7
Suppose 4*x + j = 36636, 52*x = 48*x + 5*j + 36636. What is the hundreds digit of x?
1
Let l(d) = -d**3 + 3*d**2 + 5*d + 5. Let f be l(5). Suppose -4*q - 225 = -q. Let m = f - q. What is the units digit of m?
5
Suppose 4*m - 1501 + 1485 = 0, x + m - 8856 = 0. What is the thousands digit of x?
8
Let c = -278 - -166. Let i be (1 - c)/((-16)/(-32)). Suppose -4*t + d = -4*d - i, 5*d = -4*t + 206. What is the units digit of t?
4
Suppose 3 = -3*f, 4*f + 5600 = 3*o - 18881. What is the thousands digit of o?
8
Let p = -2278 - -2306. Suppose 0 = 2*l - 0*l + 4. What is the units digit of p/(-7) + (-30)/l?
1
Suppose 20*o - 25*o = 2025. What is the tens digit of o/(-90)*(-94)/(-3)?
4
Suppose 32*k = -16*k + 10*k + 26980. What is the tens digit of k?
1
Suppose -12 = -4*o, -4*o - 42760 = -5*r - 9*o. What is the units digit of r?
9
What is the tens digit of -6 - ((-40)/5 - 0) - -5411?
1
Suppose 33 = s - 195. What is the tens digit of s - (-2 + (-6)/(-6))?
2
Let k be (24/16)/(1/(-2)). Let o(v) = -80*v - 24. What is the units digit of o(k)?
6
Let w be 24/60*(-6530)/(-4). Let t = w - 427. What is the hundreds digit of t?
2
Suppose m - 4*y = -4*m - 50, 4*y = -5*m - 10. Let z(t) = -2 + 5 + 0*t**2 + 3 + 9*t + t**3 + 10*t**2. What is the units digit of z(m)?
6
Let y be -12 + 133 + (1 - 2). Let f = y - 57. What is the tens digit of f?
6
Suppose 4*z + 4*k = -2169 + 28677, 5*z - 4*k - 33117 = 0. What is the thousands digit of z?
6
Let o(p) = -28 - 146*p - 9 + 17 - 19. What is the hundreds digit of o(-3)?
3
Let x(t) = 61*t**2 - t + 3. Let o be x(5). Suppose 1356 = 4*v + 2*m, 5*v - 172 = 5*m + o. What is the units digit of v?
9
Let a be (-2)/(-4)*-6 - -86. Let f = a - -43. What is the units digit of f?
6
Suppose 0 = -2*v - 6, -x = v + 4*v + 5. Suppose 0*j = 2*j - x. Suppose -p + 48 = -2*r - 38, 5*p - 505 = -j*r. What is the tens digit of p?
9
Suppose -3*x + 0*x = -3*a - 87, 0 = -5*a - x - 121. Let s be ((-1 + -1703)/12)/(-1 - 1). Let o = s + a. What is the units digit of o?
6
Let i = -211 + 261. Suppose -253 = -51*u + i*u. What is the hundreds digit of u?
2
Let f = -12 + 9. Let m be -3 - (-31 - 2 - f). Let s = 28 - m. What is the units digit of s?
1
Suppose -3*m = -3*j + 521 + 136, -442 = -2*j + 3*m. What is the units digit of j?
5
Suppose f + 4*r = 14, -f - 1 = -0*f - r. Suppose -2*a = f - 10. Suppose g + a = s + 32, -2*g - 4*s = -26. What is the tens digit of g?
2
Let y = -192 + 107. Let f = y + 547. What is the hundreds digit of f?
4
Let p(x) be the third derivative of 7*x**5/60 - 7*x**4/24 + 17*x**3/3 - 2*x**2 - 35. What is the tens digit of p(3)?
7
Suppose -102216 = -74*j + 48*j - 11944. What is the hundreds digit of j?
4
Let c be 1/(8/6) + (-74919)/(-156). Suppose 7*v = c + 674. What is the hundreds digit of v?
1
Let t = -7367 - -11423. What is the units digit of t?
6
Suppose 4*k + 148*m = 153*m + 11139, 0 = 4*k + 4*m - 11148. What is the thousands digit of k?
2
Suppose -4*f = 3*s + 48, 4*s = 2*f - 34 - 30. Let l(x) = -x**3 - 16*x**2 - 25*x - 20. Let d be l(s). Suppose 0*o = -5*o + d. What is the units digit of o?
6
Suppose -3*p + 2*r - 19 = 0, 5*p - 23 = 6*p - 4*r. What is the hundreds digit of p/(-6) + (-1108)/(-8)?
1
Let f = -4800 + 8602. What is the tens digit of f?
0
Suppose 23*s - 23*s = -29*s + 36656. What is the units digit of s?
4
Let k = -847 - -8785. What is the tens digit of k?
3
Suppose -413*w = -410*w - 3*y - 2772, 2*w - 3*y - 1851 = 0. What is the units digit of w?
1
Let n(f) = -180*f**3 - 3*f**2 + f - 1. Let j(u) = -181*u**3 - 4*u**2 + u - 2. Let w(p) = -3*j(p) + 4*n(p). What is the hundreds digit of w(-1)?
1
Suppose -29*t - 184*t = -297987. What is the thousands digit of t?
1
Suppose -9125 = -3*f + 2*x, 4838 = 4*f - 5*x - 7338. What is the tens digit of f?
3
Suppose -10*o = -28962 - 21558. What is the units digit of o?
2
Let h(m) = -m**2 + 18*m + 16. Let u be h(17). What is the hundreds digit of (44/u)/((0 - -1)/171)?
2
Suppose -5*l = -5*j - 105, -2*j + 14 = 2*l - 44. Suppose 4*v + l = 9*v. Suppose -4*n - 84 = -4*r + 144, 5*r + v*n = 335. What is the tens digit of r?
6
Suppose 141*l - 175*l = -308312. What is the tens digit of l?
6
Suppose -2*j - 3*k + 1 = 0, -4 = 2*k - 2. Let f(s) = -2*s**2 - 3 - 2*s**j + 4*s + 20*s**2. What is the tens digit of f(2)?
6
Suppose -6*u - 6*u = -2340. Let w = u + 134. What is the tens digit of w?
2
Suppose -27*g = -70*g + 393149. What is the units digit of g?
3
Let p = -2 + -43. Let b = 43 + p. Let d(n) = 3*n**2 + n + 2. What is the units digit of d(b)?
2
Suppose f + 3*x - 2847 = 0, 77*f = 72*f + 2*x + 14252. What is the thousands digit of f?
2
Suppose -3*f = -5*d - 31 + 1, 0 = 2*d - f + 11. Let y = d + 1. What is the units digit of 5/(-30)*-74 + y/(-3)?
3
Let w be 40/18 - (8/36 + 0). Suppose -w*m + 3*y = 2, 0*m + 6 = -2*m + 5*y. What is the units digit of (1 - (3 + -3)) + m?
3
Let v = 11400 - 3068. What is the tens digit of v?
3
Suppose -5*f + 4*d + 34085 = 0, 0 = -268*d + 265*d - 15. What is the units digit of f?
3
Let w(j) = 2*j**3 + 29*j**2 + 19*j + 31. What is the thousands digit of w(13)?
9
Let o = 13450 + -5434. What is the thousands digit of o?
8
Suppose 1 + 0 = f - 3*s, 4*f - 36 = -4*s. Suppose -f*h = -8*h + 15. Let k = h + -13. What is the units digit of k?
2
Suppose 2*y + 213 = 1125. What is the units digit of 15/((-225)/(-6)) + y/10?
6
Suppose -5*h - 7961 - 4244 = -3*x, h + 20371 = 5*x. What is the hundreds digit of x?
0
Suppose 14*j = 9*j + 30. Suppose j*h - 1566 + 324 = 0. What is the tens digit of h?
0
Let g be 2352/72 + 8/6 + -2. Suppose -g*b = -37*b + 1165. What is the tens digit of b?
3
Let i = 10966 + -5260. What is the tens digit of i?
0
Let j(y) = y**2 + 17*y + 22. Let l be j(-11). Let q = 108 + l. What is the units digit of q?
4
Suppose -2*o + 4*i - 277 + 3933 = 0, -3*o - 2*i = -5452. What is the hundreds digit of o?
8
What is the units digit of 8608 - 198 - (-1 - -1)?
0
Suppose 0 = 5*n + 7*o - 3*o - 10, 2*o = -5*n. Let t be (6/(-10))/((-198)/(-6270)). What is the tens digit of (-1)/(-1) - -4*t/n?
3
Suppose 0 = -4*w - 536 + 1924. Let c = 493 - w. What is the tens digit of c?
4
Let j(c) = -9*c**3 - 6*c**2 - 2*c + 1. Let m = 46 + -55. Let x be m/18*(-4)/(-2) - 1. What is the tens digit of j(x)?
5
Suppose -p + 294 = -8*p. Let c = 45 + p. Suppose 3*u + g - 210 = 0, 3*u - c*g = -6*g + 204. What is the tens digit of u?
7
Suppose 0 = -x - f + 3, 0 = -x - 2*x + f + 1. Let y be (0 + -4 - -7)*x. Suppose 0 = d + 4*u + 15, 3*u + 17 + 13 = y*d. What is the units digit of d?
5
Suppose -3*p = -4*p + 4*z - 28, -p - 7 = 3*z. Let x = 19 + p. Suppose x*h - 87 = -6. What is the tens digit of h?
2
Let f(r) = -7*r + 6. Let k be f(2). What is the units digit of (-4750)/20*k/10?
0
Suppose -5*v + v = 40. Let c(f) be the first derivative of -f**4/4 - 10*f**3/3 - 3*f**2/2 - 15*f - 126. What is the tens digit of c(v)?
1
Let a = -910 - -1088. What is the tens digit of a?
7
Suppose -16*j = -11*j - 4*f + 33, 2*j - 3*f + 9 = 0. Let b(v) = -5*v - 19. Let c(d) = -2*d - 9. Let w(p) = 6*b(p) - 13*c(p). What is the units digit of w(j)?
9
Suppose -47 = -3*r + 19. Let i = r - 85. Let z = 110 + i. What is the units digit of z?
7
Suppose -4*g = 2*r + g - 10046, -3*r + 15069 = -5*g. What is the units digit of r?
3
Suppose 218*k - 20 = 213*k, -4*m = 5*k - 18664. What is the units digit of m?
1
Let y = 176 - -3814. What is the thousands digit of y?
3
Let r(x) = -x**2 + 10*x + 10. Let m be r(11). Let j be (-2*m*1)/(44/330). Suppose -3*d = -4*z - 61, -d = -3*z - j - 12. What is the units digit of d?
5
Suppose 3*p = -5*w + 1648, -2*w - p + 660 = -0*w. Let n = w - 147. What is the tens digit of n?
8
Let p(w) = 11*w**3 - w**2 + 107*w + 1. What is the tens digit of p(9)?
0
Let l = 8132 - 3546. What is the tens digit of l?
8
Let o be 0 - (9 - 9 - -4). Suppose 2*q - 165 = -c, 3*c + 11 = 5*q - 407. What is the tens digit of 1 - (q + -3)/o?
2
Suppose -7*p + 14*p = -20*p + 68445. What is the thousands digit of p?
2
Let n(r) = -15*r - 68. Let f be n(-5). Suppose -f*t = -816 - 157. What is the units digit of t?
9
Let a(p) = p**2 - 10*p + 18. Let t be a(11). Let l = 248 - t. What is the hundreds digit of l?
2
Suppose 76*p - 52703 = 27*p + 162848. What is the tens digit of p?
9
Let f = -3796 + 5453. What is the units digit of f?
7
Suppose -17*w - 1428 + 4369 = 0. What is the units digit of w?
3
Suppose 0 = -0*f + 6*f - 4212. What is the units digit of (-2 - f/(-8)) + 9/36?
6
Let y be -10*23/2 + -2. Let l be -2*(y/(-6) - -1). Let a = -5 - l. What is the tens digit of a?
3
Suppose 75*f = 137438 + 402142 - 121905. What is the units digit of f?
9
Suppose -17*d + 16924 = -31016. What is the tens digit of d?
2
Let t = -7315 + 13227. What is the hundreds digit of t?
9
Suppose -5*a - 2168 = x - 9512, -4*x + 29400 = -4*a. What is the tens digit of x?
4
Let h(u) = 5*u**2 - 3*u. Let z(l) = -20*l**2 + 12*l + 1. Let a(g) = -9*h(g) - 2*z(g). Let r be a(-4). Let p = r + 183. What is the units digit of p?
9
Suppose -3*l = 12, v - 24 = -l + 2. What is the hundreds digit of v/4*(-3496)/(-57)?
4
Let o be -136 + 136 + 2 + (-2)/(-2). Let j = 65 + o. What is the units digit of j?
8
Suppose -3*s = -12, 0 = 5*u - 4*s + 342 + 1359. Let o = -115 - u. What is the tens digit of o?
2
Suppose -3*a + 75 = -36. Let t be 1*(0 - (0 - 103)). Suppose a + t = 5*d. What is the units digit of d?
8
Suppose 5*v + 3*l - 8 = 4*l, -v + 6 = 2*l. Suppose 1035 = -3*h + 7*h + 3*z, 4*h - 1050 = v*z. What is the tens digit of h?
6
Let o be 5/(25/20) + 0. Suppose 2*f = 2*l - 408, o - 1 = -3*f. Suppose 4*q - 1 = l. What is the tens digit of q?
5
Let b = -34 + 60. Suppose b*k - 20*k - 1116 = 0. What is the hundreds digit of k?
1
Suppose 0 = 113*k - 1297548 + 183368. What is the thousands digit of k?
9
Let i be (-3)/((-6)/(-4)) - -4. Suppose 3*y - 5*y = i*k - 126, 3*y = 6. Suppose 2*j - 67 = k. What is the tens digit of j?
6
Let c(r) = -6*r**3 + 8*r**2 + 9*r + 12. Let x be c(-5). Suppose -2595 = -8*v + x. What is the tens digit of v?
3
Let s(z) = z**3 + z**2 + 3. Let b be s(0). Let d be (0/(-5))/(2*(-1)/2). Suppose -2*j + 322 = 5*t - j, d = b*t - 2*j - 188. What is the units digit of t?
4
Suppose 3*b = 4*j + 23412 + 5695, b - j = 9703. What is the tens digit of b?
0
Let o = 648 + -581. Let x(j) = 5*j - 2. Let y be x(-5). Let v = o + y. What is the units digit of v?
0
Suppose -1150*w - 17354 - 516 = -1152*w. What is the tens digit of w?
3
Suppose 4*z + 11 = -1. Let d be 2/9*z*129/(-2). Let h = d + -17. What is the tens digit of h?
2
Suppose -81*y + 30*y + 177175 = -32*y. What is the thousands digit of y?
9
What is the hundreds digit of (11 + (-30814)/(-21))*6 + (-1 - -2)?
8
Let o = -253 + 223. What is the tens digit of ((-112)/(-10) - -4)/((-1)/o)?
5
Suppose -2*g + 2*f = -506 - 2780, 0 = 3*g - 2*f - 4932. What is the hundreds digit of g?
6
Let g = -9 + 6. Let v(q) = -9*q**3 - 2*q**2 + 4*q + 3. Let j be v(g). What is the units digit of (10/(-6))/(2/j*-3)?
0
Suppose 11*p - 12855 = -6*p + 30104. What is the hundreds digit of p?
5
Suppose -c + 336 = c. What is the tens digit of (c/1 - 3) + 6?
7
Suppose 4*m + 8 = 8*m. Suppose 3*f = 5*b - 31, -3*b = -5*f + m - 59. What is the tens digit of (13/3)/((-2)/f)?
2
Let l = 53 + -48. Suppose -1132 = -9*x + l*x. What is the units digit of x?
3
Let w = 3 - -1. Let c be (-3)/(-6) + 52/8 + -5. Suppose 4*u + 18 = c, -w*v - u + 272 = 0. What is the units digit of v?
9
Suppose 2*m = -3*q + 140, -q - 30 = -2*q - 4*m. Let f be ((-132)/(-10))/((-15)/q). Let l = 112 + f. What is the units digit of l?
8
Suppose -345 + 369 = 6*o. Suppose o*c + c - 5*v = 1555, -327 = -c + 5*v. What is the tens digit of c?
0
Let f = 720 - -2129. What is the units digit of f?
9
Let b(p) = 238 - 24*p + 117 + 10*p + 7*p. What is the units digit of b(0)?
5
Let q = -294 + 274. Suppose 2*r - 89 = -4*w - w, -r - 4*w = -43. Let y = r + q. What is the units digit of y?
7
Let c(w) = 73*w**3 - 16*w**2 + 37*w - 3. What is the tens digit of c(3)?
3
Let j(d) = d**3 - 16*d**2 + 23*d - 142. What is the hundreds digit of j(19)?
3
Suppose 6413 = r - 5*d, 3*r - 4*d = 6827 + 12434. What is the units digit of r?
3
Let s(p) be the third derivative of -p**4/4 + 7*p**3/2 + 40*p**2. Let k(y) = -3*y + 11. Let n be k(6). What is the tens digit of s(n)?
6
Let h be 2/9 - 2/9*712. Let m(z) = -251*z**3 + z**2. Let q be m(-1). Let u = q + h. What is the tens digit of u?
9
Let o(v) = -4 - 2*v**3 + 11*v**2 + 16*v**2 + 11*v**2 - 41*v**2. What is the tens digit of o(-4)?
7
Let w = -20052 + 28539. What is the units digit of w?
7
Let i = 228 + -33. Let h = i + -122. What is the tens digit of h?
7
Suppose i + 2*v = -4*i + 40543, -5*v = 5. What is the hundreds digit of i?
1
Let b be -7*30/(-35)*5. Suppose 0 = 3*t + 3*n - 6*n - 66, -5*t - n = -140. Let y = t + b. What is the units digit of y?
7
Let z(w) = 23*w - 91. Let s be z(14). Suppose -213 = -l - 3*c, s = l - 0*c - 3*c. What is the hundreds digit of l?
2
Let b = 17 - 11. Suppose 8 - 92 = -b*k. Let h = k - -30. What is the units digit of h?
4
Let x(g) = g**2 + 12*g + 49. Let f be x(-18). Let k = f - 70. What is the units digit of k?
7
Let g = -5776 - -14642. What is the units digit of g?
6
Suppose -14*i + 34627 = 6137. Suppose 0 = 29*u - 40*u + i. What is the tens digit of u?
8
Suppose -4*v - n + 7 = 0, 0*v + 4*v = 5*n + 13. Suppose 0 = -4*j - 4*h + 888, v*j = -5*h + 395 + 49. What is the tens digit of j?
2
Let i = -35 + 14. Let t(y) = y**3 + 21*y**2 - 10*y + 29. What is the tens digit of t(i)?
3
Suppose 5*b - 30693 = n, 12*b - 6123 = 11*b - 5*n. What is the units digit of b?
8
Let x = 104 + -76. What is the tens digit of 10/(-2) + 2 + (186 - x)?
5
Suppose 17*y - 1184 = -2*a + 15*y, y = -5*a + 2972. What is the units digit of a?
5
Let d(a) = 38*a**2 + 54*a - 48. What is the tens digit of d(-5)?
3
Let g = -1870 - -4063. Suppose n - 6*n - 2*i + g = 0, 445 = n + 2*i. What is the hundreds digit of n?
4
Let d(h) = 18 - 1 + h**3 + 15*h**2 + 14 - 9. Suppose -7*b + 3*b - 60 = 0. What is the units digit of d(b)?
2
Let v = 1291 + 1244. What is the units digit of v?
5
Let b(h) = -h**2 + 7*h - 1. Let u be b(6). Suppose -5*p + 28 = -3*l - 58, -u*l + 5*p - 130 = 0. Let t = l - -47. What is the tens digit of t?
2
Let t(k) = k + 13. Let p be t(-5). Suppose 2*f + f = 5*o + 32, f + 3*o = -p. Let d(z) = 18*z + 10. What is the tens digit of d(f)?
8
Suppose -6224 = -k - d, -2*k + 4*d + 6489 = -5965. What is the units digit of k?
5
Suppose -32*y + 760206 = 70*y. What is the hundreds digit of y?
4
Let d(p) = -82 + 27*p + 2*p + 22*p. What is the hundreds digit of d(7)?
2
Suppose -15*f + 377435 - 8507 = 39*f. What is the units digit of f?
2
Let t be (6/(-4))/((-9)/24). Let r(q) = 2*q**3 - 7*q**2 - 3*q + 4. Let k be r(t). Suppose -k*p + 367 = -17. What is the units digit of p?
8
Let n = 738 + 7620. What is the units digit of n?
8
Let l = -29 + 5. Let b = 834 - 793. Let u = b + l. What is the units digit of u?
7
Let t = -46 - -49. Let o(a) = 16*a**3 - 7*a**2 + 9. Let v(g) = -8*g**3 + 4*g**2 - 5. Let f(z) = t*o(z) + 5*v(z). What is the units digit of f(2)?
2
Suppose 0 = -4*h - 4, 31*y - 35*y + 4*h + 2144 = 0. What is the hundreds digit of y?
5
Let c(r) = -36*r - 45. Let w be c(-10). Suppose -2*b - 5*b + w = 0. What is the units digit of b?
5
Let h be ((-6)/9)/((-22)/99). Suppose -h*m - 3*a = -444, 3*m - 438 = a - 2*a. What is the hundreds digit of m?
1
Suppose -5*o + 4*t = 24 + 121, t - 5 = 0. Let u(g) = g**2 + 9*g - 73. What is the hundreds digit of u(o)?
3
Let v(q) = -4*q**2 + 3*q + 44. Let r(y) = -y**2 - y + 1. Let f(i) = 3*r(i) - v(i). What is the hundreds digit of f(24)?
3
Let c(g) = -11*g**2 + 9*g + 33. Let q be c(10). Let o = -517 - q. Suppose -3*k - 2*k = -o. What is the tens digit of k?
9
Let c = -41 + 43. Let u(a) = 33*a + 1. Let h be u(c). Suppose 3*i - 3*q = 155 + h, 4*q + 226 = 3*i. What is the units digit of i?
0
Let f = 190 + -160. Suppose -313 = -z - 2*j, j = z - 331 + f. What is the tens digit of z?
0
Suppose 2*h = -3*h + 1035. Let d = -1792 + 1680. Let l = h + d. What is the units digit of l?
5
Let z = 54 - 49. Suppose z*g - 134 = -109. What is the units digit of g?
5
Let z be (20/(-90)*3)/(1/231). Let b = z - -241. What is the units digit of b?
7
Suppose -9*j - 4437 = -2*g - 4*j, g = 5*j + 2206. What is the hundreds digit of g?
2
Suppose 3*o - 32 + 14 = 0. Let n be 424/o - 1/(-3). Suppose 4*a = 3*a + 5, 0 = 2*i + 3*a - n. What is the tens digit of i?
2
Let n(x) = -39*x. Let j be n(-6). Let a = j + -192. What is the units digit of a?
2
Suppose -2*s - 4 = 0, 3*s - 7706 = -316*m + 315*m. What is the hundreds digit of m?
7
Let m = 4081 + 5628. What is the units digit of m?
9
Let p be ((-19)/76)/(1/(-20)). What is the tens digit of 2/p*10 - -374?
7
Suppose 3*l - 7*l + 12 = 0. Suppose b - p - l*p = -13, 2*b - 7 = -3*p. Let w(i) = 64*i**2 - i - 1. What is the units digit of w(b)?
4
Let s(f) = 2*f**2 + 9*f + 728. What is the hundreds digit of s(-31)?
3
Let c = -32 - -32. Let z be 7 + c + 2 + -1. Let k = z + -2. What is the units digit of k?
6
Let u be (2 + -6)*(1 + -2). Suppose y - 6*f + 5*f - 97 = 0, u*f - 8 = 0. What is the units digit of y?
9
Suppose 4*j - 2*u - 6 = 0, 2 = 2*j - 0*u - 2*u. Let c(p) = -j*p + 4*p - 2*p - 6*p - 15 + 2*p**2. What is the tens digit of c(9)?
9
Suppose -h - 5*x - 60 = 3*h, 4*h + 2*x + 48 = 0. Let s be ((-42)/9 + 2)*45/h. Let c = 73 - s. What is the tens digit of c?
6
Let d be (9 - -2)/(-16 + 15). Let p(b) = 2*b**2 + 11*b + 50. What is the units digit of p(d)?
1
Suppose 3*q = 4*c - 32088, -2*c - 23*q + 16044 = -27*q. What is the tens digit of c?
2
Suppose 14015 = 9*f + 10*f - 96337. What is the thousands digit of f?
5
Let b(k) = 360*k**2 + 2*k + 2. Suppose 4*m + 3*i = -16, 5*i + 3 = -2*m - 19. What is the hundreds digit of b(m)?
3
Let d be (-2)/((-12)/6)*5. What is the units digit of (-5)/d*429*-1?
9
Let z = -12999 - -22384. What is the tens digit of z?
8
Let d(y) = -279*y + 9. Let i(b) = b**2 - 5*b + 5. Let l be i(2). What is the tens digit of d(l)?
8
Suppose -2*o - 4*y + 10051 = -6*y + 1419, -y = 0. What is the units digit of o?
6
Let g = -5597 - -10246. What is the hundreds digit of g?
6
Suppose -3*d + 634 = 2*u, -970 = -5*d - 4*u + 90. Suppose 2*n = -2*v + d, 3*v - 3*n = v + 183. What is the units digit of v?
9
Let q be ((-12)/14)/(18/(-84)) - 1. What is the tens digit of (-10)/(20/q)*-22?
3
Suppose -4*h - 164 = 5*k - 1009, -169 = -k - 2*h. Suppose 0 = -3*w + 496 - k. Let t = -57 + w. What is the units digit of t?
2
Suppose 562456 = 69*c + 64*c + 98818. What is the units digit of c?
6
Suppose 2*g - 16578 = -2*z, 16578 = -30*g + 32*g - 2*z. What is the thousands digit of g?
8
Let i = 21 - 17. Suppose -i*d = 3*k - 1222 + 145, d + 1077 = 3*k. What is the units digit of k?
9
Let c(v) = -v**2 + 5*v + 14. Let d be c(7). Suppose -5*x + 1459 - 179 = d. Suppose -3*y + 4*o + x = 0, -136 = -5*y + 3*o + 298. What is the units digit of y?
8
Let c = 442 - 9. Let u = 826 - c. What is the tens digit of u?
9
Let p be -5 + 2388/28 - 2/7. Suppose -p = d + 3*d. What is the tens digit of 117/(-2)*d/15?
7
Suppose -18*v + 8 = -19*v. Let c be 4/v*1*-10. Suppose 58 = c*l - 12. What is the tens digit of l?
1
Suppose r = -0*h - 5*h + 29, -h = -2*r - 8. What is the tens digit of (1/(h/51))/(4/96)?
0
Let y = -226 - -244. Let v(c) = c**2 + 6*c + 27. What is the hundreds digit of v(y)?
4
Let u = 2 - 0. Suppose 14*o = 2141 + 337. What is the tens digit of (-5)/3 + u - o/(-9)?
2
Let i(j) be the second derivative of 439*j**4/12 - 2*j**3/3 + j**2/2 - 16*j. What is the tens digit of i(1)?
3
Let x = -35 - -40. Suppose x*c + 925 - 115 = 0. Let t = c + 247. What is the tens digit of t?
8
Suppose 75*s + 95388 - 511944 = -s. What is the hundreds digit of s?
4
Let p(a) be the first derivative of 10*a**3/3 + 9*a**2/2 + 19*a - 18. What is the hundreds digit of p(-5)?
2
Suppose -5*y - 2796 = -o, 5*o - 4380 = 3*y + 9622. What is the hundreds digit of o?
8
Let b be -1 - -4*(-4)/(-16). Suppose 20*g - 436 - 2944 = b. What is the hundreds digit of g?
1
Let r = -46 - -49. Suppose r*q = o + 35, q + 7 = 5*o + 42. What is the units digit of (-333)/(-5) + (-6)/q?
6
Let p(x) = x - 6. Let i be p(16). Let m be i + -1 + -20 + 16. Suppose g = 4*v - 376, -m*v - 2*g + 545 - 88 = 0. What is the tens digit of v?
9
Let j(d) = d**3 - 63*d**2 - 71*d - 227. What is the units digit of j(66)?
5
Let i(h) = h - 6. Let g be i(9). Suppose 4*b + 3 = 3*k, -2*k + 3*b - 14 = -g*k. Suppose -24 = k*n - 189. What is the tens digit of n?
3
Suppose -2*z = -z + 16. Let b = 1 + z. Let j = b + 95. What is the tens digit of j?
8
What is the hundreds digit of -3 + (441002/184)/(-1 - 5/(-4))?
5
Suppose -45 = -3*r + 18. Let i be 30/(-12)*((-48)/(-10))/(-1). Suppose -i*w + 9*w + r = 0. What is the units digit of w?
7
Let d(z) = -13*z**3 + 2*z**2 + 5*z + 36. What is the thousands digit of d(-5)?
1
Let b = -8476 - -18173. What is the thousands digit of b?
9
Let b = -3030 + 9852. What is the units digit of b?
2
Let o be (-6)/(-3) + (-2 - -2). Suppose -o - 2 = -2*c. Suppose -c*b = 5*b - 168. What is the units digit of b?
4
Suppose -f - 3*y = 24 + 19, f + 2*y + 42 = 0. Let g be 10/f - (-37)/4. Suppose -o + 3 = 4*s, -1 = -5*s + 5*o + g. What is the units digit of s?
1
Let g(h) = -86*h**3 - 2*h**2 - 4*h - 64. What is the tens digit of g(-4)?
2
What is the units digit of (1*(-1291 + -2)/3)/((-2)/26)?
3
Let v(r) = -2*r - 49. Let z(h) = 3*h + 74. Let d(s) = 8*v(s) + 5*z(s). Let i be d(-10). What is the tens digit of -74*2/(3*16/i)?
3
Let j be (-3)/4 + 31/4. Suppose j*b + 880 - 3099 = 0. What is the units digit of b?
7
Let b be (-27)/(-6)*(-52)/(-117). What is the hundreds digit of (656/b - -2)*(-4)/(-6)?
2
Let s = -58 + -33. What is the units digit of 356/6*(8 - s/(-14))?
9
Let y(v) = 378*v**2 + 31*v + 113. What is the hundreds digit of y(-4)?
0
Let h be 105/(-21)*13/(-5). Let f(s) = s**2 - 13*s + 19. Let i be f(h). Suppose i = 2*v - 131. What is the tens digit of v?
7
Let t = 127 + -122. Suppose -4*y - 87 = -x, 3*x + t*y = y + 325. What is the hundreds digit of x?
1
Let v = -12 - -14. Suppose v*p + 3*p - w = -570, 4*w + 20 = 0. Let t = -19 - p. What is the units digit of t?
6
Let n be (-80)/(-3)*(-18)/(-15). Suppose 7 = -t - n. Let y = -37 - t. What is the units digit of y?
2
Suppose 0*p + 12 = -p. What is the units digit of (-287 + (-3)/1)*p/15?
2
Suppose 108*p - 30 = 105*p. Suppose 1530 = p*u + 240. What is the units digit of u?
9
Let f(v) = -4*v**2 - 14*v - 13. Let m be f(-8). Let s = m + 294. What is the hundreds digit of s?
1
What is the units digit of (-2)/2*(-5043 + -5 - 3)?
1
Let k(u) = -125*u - 7. Let n be k(4). Let y = -62 - n. What is the hundreds digit of y?
4
Let i(r) = 2*r**2 + 17*r + 10. Let v be i(-8). Let f be 25*(-10)/v*-1. What is the units digit of 2/(20/f)*6?
5
Suppose 8 = -25*s + 21*s. Let r(i) = 117*i**2 + 7*i + 5. What is the tens digit of r(s)?
5
Let p(y) = -29*y**3 - 2*y**2 + 12*y - 6. What is the thousands digit of p(-7)?
9
Let l(t) = t**3 - 30*t**2 + 147*t - 25. What is the units digit of l(24)?
7
Let k(u) = u**2 - 13*u + 38. Let o be k(9). Suppose 0 = o*l - 453 - 111. What is the hundreds digit of l?
2
Let v(q) = -q + 2*q**2 - 2*q + q + 1. Let s be (3/(-24))/(0 - (-8)/(-64)). What is the units digit of v(s)?
1
Let h be 3 + 130/6 + 1/3. Suppose 0*b - b - 10 = -3*o, 4*b = -o + h. What is the tens digit of (-888)/(-10) + 1 + b/25?
9
Let s(r) = 2*r + 26. Let h be s(-8). Suppose p - h*p + 18 = 0. Suppose -27 - 107 = -2*d + 2*k, -p*k = -4*d + 262. What is the tens digit of d?
6
Let g be 32/6*(-27)/(-18). Let f(y) = y**2 + 4*y + g*y**2 - 6 - y**3 - 8*y. What is the tens digit of f(4)?
5
Suppose 0 = 2*t + 5*t - 672. Let m be 1/(4 - 385/t). Let g = -2 - m. What is the units digit of g?
4
Suppose 6*a = 374 + 520. Let o = 207 + a. What is the units digit of o?
6
Let j = 43 + -40. Let m(l) = 7*l - 14. Let y be m(j). What is the tens digit of (y/((-35)/48))/(9/(-30))?
3
Suppose -m + 165 = 3*s - 0, -155 = -m - 5*s. Suppose -7*v + 6*v + 100 = 0. Suppose -5*n + m = 5*f, -2*f - v - 23 = -3*n. What is the tens digit of n?
3
What is the thousands digit of (69547/10 - 5) + 1*(-3)/(-10)?
6
Suppose 3*c - 365160 = -11*c - 71*c. What is the hundreds digit of c?
2
Suppose -2*y = -3*c + 6416, -23*y = -c - 19*y + 2152. What is the tens digit of c?
3
Suppose 4*r + 2*q - 39400 = 0, 5*r + 3*q - 76526 = -27276. What is the thousands digit of r?
9
Suppose a - 2*i - 616 = 282, 3610 = 4*a + i. Suppose -a = -3*c - 3*h + 295, -4*c + 1588 = 2*h. What is the tens digit of c?
9
Let d(h) = -h**2 + 16*h - 19. Let r be d(14). Let t be (r/(-3) - -1)/((-4)/(-134)). Let x = -40 - t. What is the units digit of x?
7
Let p(s) be the second derivative of 3*s**2 + 0 + 8*s - 10/3*s**3. What is the tens digit of p(-4)?
8
Suppose -14*o + 10*o = -624. Suppose -27*q + o + 11670 = 0. What is the hundreds digit of q?
4
Suppose -x + 2*f - 16 - 160 = 0, 2*x - 2*f + 356 = 0. What is the tens digit of 6/(-8) + (-26415)/x?
4
Let b be 2/6 + 2/3. Let q = b + 2. Suppose -p + 90 = 2*j, q*p = 3*j + 2*p - 130. What is the tens digit of j?
4
Suppose 202*i = 199*i + 2*c + 21791, -5*i - c = -36301. What is the hundreds digit of i?
2
Suppose 0 = -5*f - 21*f - 7*f + 90123. What is the hundreds digit of f?
7
Suppose -2*j = -4, -2*j = -4*q + 2*q + 4. Suppose q*t = 460 + 212. What is the units digit of ((-8)/(-16))/(1/t)?
4
Let n(p) = 3*p**3 - 4*p**3 + 3*p + 0*p**3 + 17 + 2*p**2 + 17*p**2. Let d be n(19). Let l = d - 34. What is the tens digit of l?
4
What is the tens digit of (150/7)/((-12)/(-5460))?
5
Let s(q) be the second derivative of 2*q**3/3 - 21*q**2/2 - 11*q. Let x be s(6). Suppose -d - 108 = -x*d + 2*f, 5*d = -f + 246. What is the tens digit of d?
5
Let m(o) = 1944*o - 111. What is the tens digit of m(4)?
6
Let n = -14 + 18. Suppose -2*i + n - 46 = 0. Let q = i - -37. What is the tens digit of q?
1
Let w = -72 + 315. Suppose -3*k - 38 = -5*o - 28, -3*k + 4*o = 5. Suppose -4*c - w = -k*n - 55, -3*c = -2*n + 78. What is the tens digit of n?
3
Let q be ((-4)/(-3))/(4*1/6). Let v be (-35)/(-28)*q*2. Suppose v*p + 145 - 600 = 0. What is the units digit of p?
1
Let u = 25 - 94. What is the tens digit of (-8 + 56/8)/(1/u)?
6
Let j be 915/(7/(-9) + (-2)/9). Let u = j - -1377. What is the units digit of u?
2
Suppose 0 = 5*u - y - 16, 4*u = 2*y + 2*y. Suppose u*g + 2*z - 972 = 448, -4*z + 1424 = 4*g. What is the tens digit of g?
5
Let z = 3221 - -5675. What is the units digit of z?
6
Suppose 0 = 3*w, 0*m + 24 = 2*m - w. Suppose m*g = 14*g - 86. Suppose z - 4*k = -0*z + 19, 4*k - g = -z. What is the tens digit of z?
3
Suppose j - 278 = 2*h, 0 = -27*j + 25*j - 2*h + 538. What is the units digit of j?
2
Suppose 0 = 17*u + 6556 - 17113. Let h = -409 + u. What is the tens digit of h?
1
Let b(q) = -2*q + 5. Let w be b(3). Let j be 5 - (-1 + 4)*w. Suppose 0 = -j*t + 6*t + 74. What is the tens digit of t?
3
Suppose 4*q = -104 + 120. What is the tens digit of (q/(-8))/((-1)/488)?
4
Suppose -3*j - 2*h - 1139 = 2*j, 0 = -j - 5*h - 214. Let p = -212 - j. What is the tens digit of p?
1
Suppose 0 = -4*o - 4*i + 27678 + 1942, 0 = -5*i + 5. What is the hundreds digit of o?
4
Suppose -2*q + 10 = 5*g, -4*g = -q + 2*q - 5. What is the units digit of 3 + (25/q - -252)?
0
Let k(b) = -9*b**3 - 13*b**2 - 17*b + 67. What is the thousands digit of k(-9)?
5
Let j(z) = 6*z**2 - 7*z - 8. Let h be j(14). Suppose -f + a = 3*f - h, f - 260 = 4*a. What is the hundreds digit of f?
2
Let r(g) = 10*g**2 - 38*g + 72. What is the hundreds digit of r(-13)?
2
Suppose -20*v = -29*v + 981. What is the units digit of -19 + v - (-6)/(0 - 2)?
7
Let x = 136 - -48. Suppose -g - x = -3*g. Let n = g - 64. What is the tens digit of n?
2
Let j = 28 - 28. Suppose j = -o + 5*o + 92. Let l = o - -93. What is the units digit of l?
0
Let z(l) = l + 19. Let m be z(-9). Suppose -12 + m = -d. What is the tens digit of d - (3 + 0 + 31)*-1?
3
Let v(n) = -2*n - 12. Let j be v(-7). Suppose i + 6*q - 88 = j*q, 3*q = 5*i - 440. Let y = i - 41. What is the tens digit of y?
4
Suppose 18835 + 62124 = 9*m + 12568. What is the hundreds digit of m?
5
Let o = 537 + 1939. What is the hundreds digit of o?
4
Let z(v) = -2*v**3 + 2*v**2 - 2. Let b be z(-1). Suppose -b*p = 2*p + 5*l - 1027, 0 = -4*p - 3*l + 1029. What is the tens digit of p?
5
Let v(g) = g**2 - 17*g - 6. Let m be v(17). What is the tens digit of ((-4)/m*-3)/((-20)/4280)?
2
Suppose -46 + 42 = -2*t. Suppose b - 1221 = -t*b - h, 5*h + 1628 = 4*b. What is the units digit of b?
7
Let f(u) = u**3 + 44*u**2 + 58*u + 104. What is the tens digit of f(-36)?
8
Let d(y) = -y**3 - 2*y**2 + 2*y - 411. Let l be d(0). Let z = -152 - l. What is the hundreds digit of z?
2
Suppose 9*i + 404 - 8 = 0. Let l = i - -38. Let r = 17 - l. What is the tens digit of r?
2
Suppose -2*k - 3*k = 4*m - 18, -3*k = -5*m + 4. Suppose -x + 1056 = 4*t, -k*t - x = -5*t + 799. What is the tens digit of t?
6
Let r be ((-620)/(-8) - -3)*30/5. Let n = 777 - r. What is the hundreds digit of n?
2
Let r(n) = -n**3 - n - 1. Let b(w) = -2*w + 8. Let c be b(5). Let k be r(c). Suppose y = 2*g - 3*g + 9, -k = -g + y. What is the units digit of g?
9
Let l(t) = t**2 - 3*t - 11. Let s = -16 + 11. Let y be l(s). Let n = y + 30. What is the tens digit of n?
5
Let c be -417*(-5 + (-16)/(-3)). What is the units digit of c*2/((-6)/9)?
7
Let x = 4555 - -2282. What is the hundreds digit of x?
8
What is the units digit of ((-459)/2)/(9/(-270)*1)?
5
Suppose 11 + 19 = 6*l. Suppose 3*t - l*s = -s + 81, -4*s = 5*t - 167. What is the tens digit of t?
3
Let a = -5728 + 8236. What is the tens digit of a?
0
Let x = 224 + -220. Suppose k + x*k = 1325. What is the hundreds digit of k?
2
Let s(k) = -k**3 + 25*k**2 + 12*k + 19. Let x be s(26). Let l = -234 - x. What is the hundreds digit of l?
1
Suppose -4*m - 6 = -p - 4*p, -5*p = -2*m - 8. Suppose 5*b - 3*b + p*k = 14, -14 = -2*b - k. What is the units digit of (-14 + 16)/(1/b)?
4
Let g(x) = -42*x + 49. Let f be -6 + 6 + -4 + -5. What is the tens digit of g(f)?
2
Let p(x) = -x**3 + 21*x**2 + 17*x - 19. What is the thousands digit of p(-11)?
3
Let j(d) = 5945*d + 63. What is the hundreds digit of j(1)?
0
Let p be 50/(-20) + 4 - (-549)/2. Suppose -4*t + p = -304. What is the tens digit of t?
4
Let t be 5/(-2)*-28 - 3. Suppose 16 - t = -g. Let m = -23 + g. What is the tens digit of m?
2
Let i be (-1)/(-2)*(-8)/2. Let u be (29 - (-2)/i) + -3. Let f = -4 + u. What is the tens digit of f?
2
Let f(c) = 2*c**3 + c**2 + 8869. What is the units digit of f(0)?
9
Suppose 38 - 26 = 3*c. Let h = 7 + -4. Suppose 0 = -h*i - 5*v + 174 + 79, -c*i + 360 = v. What is the units digit of i?
1
Suppose -j = -3 - 1. Suppose -4*f = -j*k + 856, -3*f - 626 = -3*k - 4*f. Suppose -108 = -6*g + k. What is the units digit of g?
3
Suppose -12 = -f - 7. Suppose f*w - 2*d = 315, -4*w = -0*d - d - 255. Let t = 113 - w. What is the units digit of t?
8
Let u = -2179 + 3135. What is the tens digit of u?
5
Let g = -2440 + 2832. What is the tens digit of g?
9
Let i be (5/((-25)/(-20)) + 0)/1. What is the hundreds digit of 5*i/10 - 229*-1?
2
Suppose 135 = 101*l - 98*l. Suppose -44*a - 245 = -l*a. What is the hundreds digit of a?
2
Suppose -183282 = -13*t - 9*t. What is the hundreds digit of t?
3
Let l(w) be the first derivative of -7/2*w**2 + 7*w - 2. What is the tens digit of l(-9)?
7
Suppose 2*f - 5*u - 140 - 114 = 0, -2*u + 508 = 4*f. Let k = -106 + f. What is the tens digit of k?
2
Suppose 2*x = 2*j - 6, -5*x + 27 = -4*j + 5*j. What is the hundreds digit of 618/(-15)*(j + -12)?
2
Let j(a) = 6*a - 20. Let v(y) = -4*y**2 - 28*y + 6. Let m be v(-7). What is the units digit of j(m)?
6
Suppose 3*j - 104 = 7*j. What is the tens digit of (j + -2)/(354/(-114) + 3)?
6
Suppose 23 = 3*i + 32. What is the units digit of (20/i + 0)*-18 - -1?
1
Let f = 9031 - 3365. What is the tens digit of f?
6
Suppose -n = -4*n + 168. Let b = 51 + -47. Suppose 32 = b*k - n. What is the tens digit of k?
2
Suppose -31458 = -42*a + 57517 + 138455. What is the thousands digit of a?
5
Let g(v) = 3*v**3 - 8*v**2 - 2*v - 5. Let o be g(4). Suppose 0 = 5*x - 5, n - x - o - 157 = 0. What is the units digit of n?
9
Let c(u) = 40*u**2 - 39*u**2 + 6 - 3 - 6*u. Let a be c(6). Suppose -a*q - s + 87 = 2*s, -5*s = -2*q + 65. What is the tens digit of q?
3
Suppose 5*o + 6 = -4, 4*a + 2*o = -296. Let r(b) = -12*b**2 - 2*b - 4. Let q be r(-3). Let t = a - q. What is the tens digit of t?
3
Let u = -23 - -15. Let d be 670/u - 4/16. What is the units digit of -3*(d/9 + -2)?
4
Let a = 46 - 43. Let q(g) = -g**2 + 4*g + 1. Let f be q(a). Suppose 33 - 1 = f*s. What is the units digit of s?
8
Suppose 0 = -6*l + 3336 + 468. Suppose 3*v - 432 = -4*t + 59, 5*t + l = 4*v. What is the tens digit of v?
6
Suppose -1621 - 629 = -3*r. Let c = -536 + r. What is the units digit of c?
4
Suppose 0 = 4*k - 3*k - 4*n + 16, -k = -2*n + 6. What is the tens digit of (-2)/16*k*-258?
2
What is the units digit of -86 - -77 - (-5582 + -2)?
5
Suppose -o - y + 3 = 6, 2*o - 5*y - 15 = 0. Let u be (1 - o)*-3 - (-110)/2. Suppose w = -w + u. What is the units digit of w?
6
Suppose -3*h - 19 + 34 = 0. Suppose 3*z - 7 = -o - 0*z, -17 = -3*o - h*z. Suppose 0 = o*w - 3*p - 173, -221 = -5*w + 2*p - 3*p. What is the tens digit of w?
4
Let a(t) = 2841*t + 565. What is the tens digit of a(3)?
8
Let r = -14175 - -23824. What is the hundreds digit of r?
6
Suppose -b + 3*a = -17, -10 = -3*b - 2*a - 3. Suppose 8 = i - 2*k, 4*k = -b*i + k + 1. Let y(u) = 24*u + 4. What is the units digit of y(i)?
2
Let l(d) = 2*d + 1. Let i(b) = -175*b - 2. Let o(c) = i(c) - 4*l(c). What is the tens digit of o(-2)?
6
Let c(n) be the first derivative of n**4/4 + 7*n**3/3 + 5*n**2 + 18*n + 52. What is the units digit of c(-4)?
6
Let c(a) = -a**3 - 4*a**2 + 16*a - 1. Suppose -3*y = -5*q - 4, -55 = 5*y - 2*q + 6*q. What is the tens digit of c(y)?
3
Suppose 3*n - 23179 = 5*r, -84 = -3*r - 99. What is the hundreds digit of n?
7
What is the units digit of (297/36 + -13)*-16?
6
Suppose -121485 = 23*w - 322712. What is the hundreds digit of w?
7
Let h be (-6)/4*6/(-9). Let k(b) = 389*b**2 + 2*b - 1. What is the units digit of k(h)?
0
Let h = 30051 + -20659. What is the tens digit of h?
9
Let s be ((-2)/(-4))/(8/(-48)). Let h = 31 - s. What is the tens digit of 0/12 + h + 0?
3
Let f(p) = 6*p - 10*p**2 + 14*p**3 - 6*p**3 - 7*p**3 + 8. Let z be f(6). Let d = z - -142. What is the tens digit of d?
4
What is the tens digit of 1288118/2366 + 1 + (-20)/14?
4
Let z = 3219 - 2622. What is the tens digit of z?
9
Suppose 3*p - 20 = 7*p. Let r(v) = -v**2 - 2*v - 5. Let w be r(p). Let u = w + 35. What is the tens digit of u?
1
What is the tens digit of (1484/112 - 17)/((-7166)/7160 - -1)?
7
Let y(q) = 464*q**2 + 9*q - 8. Let f be 9/4 + (-50)/40. What is the units digit of y(f)?
5
Let n(y) = y**3 - 15*y**2 - 28*y - 21. Suppose 7*z - 374 = -15*z. What is the tens digit of n(z)?
8
Let m be (-6 + 21)/((-3)/12*-6). Let p(d) = 3*d**2 + d - 63. What is the units digit of p(m)?
7
Suppose 0 = 3*g + 5*a - 22925, 486*a - 483*a - 22923 = -3*g. What is the units digit of g?
0
Suppose -35393 = -4*a - 2*a + 19651. What is the tens digit of a?
7
Suppose 24*h + 6 = 27*h, 2*h - 5086 = -3*y. What is the thousands digit of y?
1
Let j = 790 - 510. What is the hundreds digit of (j - 14) + -8 + 2?
2
Let j(z) = 3*z + 21. Let s be j(-5). Let q = -7 - s. Let t = 66 + q. What is the tens digit of t?
5
Let y(k) = 114*k**3 - 11*k**2 + 37*k + 3. What is the thousands digit of y(4)?
7
Suppose -781 = -4*z + p, 3*p - 217 + 12 = -z. Suppose -2*c + 0*c = -z. Suppose 2*m = 3*q - 3*m - c, 3*m = q - 34. What is the units digit of q?
1
Let d be (-6 - (-92)/15) + 16684/(-30). Let q = d - -933. What is the hundreds digit of q?
3
Let v(c) = -5 + 30*c**3 + 7*c**2 + 0 - 10*c - 43*c**3 + 14*c**3. Suppose -j = 4*t - 2*t + 17, -5*t = -4*j - 3. What is the tens digit of v(j)?
6
Suppose 349 = -2*c + 3*c. Let f = -61 + c. What is the units digit of f?
8
Let v(d) = d**2 + 2*d - 12. Let t be v(-5). Let c = t + -347. What is the units digit of c/6*24/(-16)?
6
Let b = 1199 - 650. Let c = b - 303. What is the tens digit of c?
4
Suppose -10*j + j = -2*j - 18473. What is the thousands digit of j?
2
Let v = 97 + 99. Let h = -109 + v. What is the units digit of h?
7
Suppose -19*h = -20*h + c - 2, -2*h = -3*c + 9. Suppose 0*s - h*t - 1159 = -4*s, s - 295 = -t. What is the units digit of s?
2
Let t be (2/3)/((112/(-2121))/(-8)). Suppose 1467 = 4*k - t. What is the tens digit of k?
9
Let y(m) = 953*m**2 + 66*m + 3. What is the thousands digit of y(2)?
3
Let j(x) = 24*x + 12. Let v be j(10). Let z = 193 + v. What is the units digit of z?
5
Let j be 6/4 - ((-45)/(-10) + -5). What is the units digit of (55/(-40)*j)/(2/(-24))?
3
Suppose 308835 = -17*z + 62*z. What is the tens digit of z?
6
Let y(n) = -2*n**2 + 12*n + 28. Let g be y(13). Let k = g + 257. What is the units digit of k?
3
Let i = -4761 + 11179. What is the thousands digit of i?
6
Suppose 30*r - 43*r - 18762 + 93980 = 0. What is the thousands digit of r?
5
Let w(v) be the first derivative of -63*v**2/2 - 11. What is the units digit of w(-7)?
1
Let n(d) = -3*d**3 - 5*d**2 + 8*d - 150. What is the tens digit of n(-10)?
7
Let f(d) = d + 13. Let k be f(7). Suppose 0 = -7*w + 2*w + 4*s - k, -6 = 2*w - 2*s. Let m(h) = -4*h + 16. What is the units digit of m(w)?
8
Let j = 8271 - 1006. What is the hundreds digit of j?
2
Let d = 25 + -36. Let f(m) = 9*m**3 - 3*m**2 + 31*m + 35. Let l(r) = -5*r**3 + r**2 - 16*r - 18. Let w(b) = d*l(b) - 6*f(b). What is the units digit of w(-8)?
4
Suppose 5*q = 10*q - 25. Let s be 5/(q/(-82)) - -1. Let a = -14 - s. What is the units digit of a?
7
Let y = 4677 - 1097. What is the units digit of y?
0
Suppose 4*s + 13756 = 5*f, 748*s - 750*s = -3*f + 8254. What is the thousands digit of f?
2
Suppose 5*a - 25 = 0, -3*a + 33885 = 237*s - 232*s. What is the units digit of s?
4
Let l = 126 + -183. Let u = -47 - l. Let f = u + -5. What is the units digit of f?
5
Let w(m) = m - 1. Let v = -27 - -29. Let o(c) = 11*c - 1. Let t(y) = v*w(y) + o(y). What is the tens digit of t(2)?
2
Let l(b) = -1673*b - 61. What is the tens digit of l(-6)?
7
What is the thousands digit of (-107308)/(-56) - (-9)/(-42)?
1
Let q(f) = 2*f + 2. Let t be q(0). Suppose t*c - 5 = c. Suppose 3*g = -5*o + 88, -c*o = -2*g - g + 98. What is the tens digit of g?
3
What is the units digit of (-8 - 107360/(-12)) + (-24)/(-18)?
0
Let t(w) = w**3 - 7*w**2 - 10*w + 10. Let z be t(8). What is the tens digit of (11 + z + 7)*(-37)/(-4)?
1
Let g = 79 + -84. What is the tens digit of 2/(-5) + (-1402)/g?
8
Suppose 3*a = 5*s - 10, -s - 4*s + 4*a = -10. Suppose 5*z + 3 = 13, -s*z + 4 = -m. Suppose 5*w + 25 = m, -w = -2*v + 6*v - 115. What is the units digit of v?
0
Suppose -156*h + 155*h + 7 = 0. Suppose -h*z = 4*z - 4125. What is the units digit of z?
5
Suppose 4*w + 3*j - 1356 = 0, -1722 = w - 6*w + 3*j. Let f = w - -104. What is the tens digit of f?
4
Let g be 126/(-27)*(-12)/14. Suppose -200 = -10*d + 8*d - b, d - 100 = -g*b. What is the tens digit of d?
0
Suppose 704*b - 118416 = 688*b. What is the thousands digit of b?
7
Let f(k) = 273*k**2 + 7*k - 44. What is the thousands digit of f(4)?
4
Suppose -2*h - 5*i + 8 = 0, -3*h + 32 = -h - i. Suppose -36 = 5*y - h*y. Suppose 3*z - 397 = -y*k, -k = -3*k - z + 197. What is the units digit of k?
7
What is the units digit of (2988/(-24))/((-2)/124)?
9
Let l(z) = -3*z + 22. Let n be l(-16). Let m = 137 - n. Let y = m - 36. What is the units digit of y?
1
Let x = 3 - -2. Let a be 23680/288 - (-2 - (-20)/9). Suppose y + 135 = x*o - 3*y, 2*y = -4*o + a. What is the tens digit of o?
2
Let o(v) = -2*v**2 - v + 5. Let y be o(0). Suppose 7*w - 49 = 3*w - 5*d, 0 = 2*w - y*d + 13. What is the units digit of w?
6
Let u = -91 - -53. Let j = 37 + u. What is the units digit of (-61 - ((-8)/4 + 2))*j?
1
Suppose 60492 = 29*q - 55102. What is the tens digit of q?
8
What is the tens digit of (-5 - ((-217)/21 + 6))*(-43962)/4?
2
Suppose -283 = 4*d - 1811. Let x be d/3 - 116/87. Let y = x - 51. What is the units digit of y?
5
Suppose 5*y = h + 234, -5*h = 5*y - 0*h - 240. Let g = -47 + y. Suppose g = 4*u - 2*u - 48. What is the units digit of u?
4
Let j(p) = -4 - 8*p + 4*p + 15 - 21*p. Let x(c) = 726*c - 319. Let r(k) = -88*j(k) - 3*x(k). What is the units digit of r(2)?
3
Let o(a) = 2 - 17*a**2 + 8*a**2 + 12*a**2 - 6*a. Suppose 2*c + 0*n = -4*n, 5*n + 10 = 0. What is the units digit of o(c)?
6
Suppose -12*z + 18976 = -19712. What is the units digit of z?
4
Let c = 6 + 636. Suppose -3*p = b - c, -4*p + 5*p + 5*b = 228. What is the hundreds digit of p?
2
Suppose 48*l - 43*l - 24250 = 0. What is the tens digit of l?
5
Suppose 2*t - 3068 = -2*t - 2*d, -d = -5*d. What is the units digit of t?
7
What is the hundreds digit of 148010/18 + (-15)/(-27)*4/10?
2
Suppose 26*k = -3*k + 165133 + 31893. What is the hundreds digit of k?
7
Suppose 0 = -l + 19*l - 102644 - 53956. What is the tens digit of l?
0
Suppose -10*w + 4*m + 12546 = -7*w, 4*m = -4*w + 16756. What is the thousands digit of w?
4
Let i = -186 - -186. Suppose 8*r + 7*r - 6450 = i. What is the tens digit of r?
3
Let k be (-2 - -5)/(9/24). Suppose 1 = -7*y + k*y. What is the units digit of 19/4 - y/(-4)?
5
Let p(n) = -175*n - 35. Let f be p(-5). Suppose 5*v - 5*l - f = 0, -4*l + 96 = 5*v - 753. What is the tens digit of v?
6
Suppose 0 = -4*z + 9*z + 2*h - 44617, 4*h = -3*z + 26759. What is the hundreds digit of z?
9
Suppose 0 = -0*m - 3*m + 51. Let y(d) = 5 - 32 + 28*d - m*d. What is the tens digit of y(6)?
3
Suppose -34*b = -56*b - 101371 + 291561. What is the thousands digit of b?
8
Let v = 83 + -59. Suppose s - 53 = v. What is the tens digit of s?
7
Let i(q) = -q**2 + 10*q - 30. Let z be i(13). Let v = -37 - z. Suppose -13*j - v = -15*j. What is the units digit of j?
6
Suppose 3*y = -6, 0 = -j - 2*j - 4*y + 2206. Suppose -164 = -2*h + j. What is the tens digit of h?
5
Suppose -8 = -4*g + 8. Suppose 2*t = g*t - 812. What is the tens digit of t?
0
Suppose -2*h + 6*h = -4*u + 60, -u - 24 = -2*h. Let z(w) = -w**2 + 32*w - 41. What is the tens digit of z(h)?
0
Let o = 1265 - -7162. What is the thousands digit of o?
8
Let g(s) = 2*s**2 + s - 12. Let r be g(3). What is the units digit of 2937/22*6/r?
9
Let t = 9 - 3. Suppose 82 + 260 = t*v. Suppose 208 = 5*j - v. What is the units digit of j?
3
Let f(a) = 2*a**2 - a + 1. Let v(p) = p**3 - 5*p**2 - p + 10. Let z(o) = -4*f(o) + v(o). What is the units digit of z(14)?
4
What is the hundreds digit of ((-10)/20)/((-5)/18510)?
8
Let o(d) = d**2 + 8*d + 12. Let c be o(-7). Suppose -6*b + 4 = -c*b. Suppose 3*k - 5*l - 112 = 0, -l - 63 - 75 = -b*k. What is the units digit of k?
4
Let k = 15 - 10. Suppose -5*u - 427 = k*t - 3*u, -2*u = t + 87. Let l = t - -134. What is the tens digit of l?
4
Let j(m) = -m**3 + 8*m**2 + 17*m - 24. Let f be j(11). Let q = f - -491. What is the units digit of q?
1
Let f = -10435 + 16411. What is the thousands digit of f?
5
Let u(f) = 69*f**2 - 14*f. Let h be u(-5). Suppose -22*t + h = -2671. What is the tens digit of t?
0
Suppose 5*j - 104 = -y, j + 4*j = 20. Let w be 4 + -25 + 24 + (-13)/(-1). Suppose y = 19*d - w*d. What is the units digit of d?
8
Let h be -2*(4 + (4 - 2)). What is the tens digit of (4 + -7)*(-8)/h*-176?
5
Let y(g) = -g + 11. Let h be y(8). What is the tens digit of (6 - 11)*(-15)/h?
2
Let b be (-1)/(4/(-1*12)). Suppose j - 2*w - b*w + 7 = 0, -w + 9 = -4*j. What is the tens digit of 7 + 34 - (j + 1 + 1)?
4
Let x(v) = -v**2 + 14*v + 31. Let k be x(-12). Let a = k + 706. What is the tens digit of a?
2
Suppose -2*z + 28 = -z + 5*x, 2*z + 4*x - 26 = 0. Suppose 5*j + 4*y = 871, -z*y = 8*j - 4*j - 696. What is the hundreds digit of j?
1
Suppose 0 = -4*m, 26 + 19 = -3*f - 5*m. Let i be (10/(-4))/((f/10)/3). Suppose 330 = i*g + t + 4*t, 0 = 4*t + 8. What is the tens digit of g?
6
Let c be 11/(-33)*(-6)/2. Let m be 2 + 1*-1*(4 + c). What is the tens digit of 1 - m/2*(-28)/(-1)?
4
Let z(h) = -h**2 + 4*h. Let f be z(4). Let q(o) = -2*o - 4. Let y be q(f). Let u(d) = -d**3 - d**2 + 7. What is the tens digit of u(y)?
5
Let x be 3 + -1 + 67*(-3 - -5). Let o = x - -31. What is the tens digit of o?
6
Let x(r) = r**3 + 7*r**2 - 9*r - 4. Let q(d) = -3 - 4*d - 6*d**2 + 5*d - 3*d. Let i be q(-1). What is the units digit of x(i)?
9
Suppose -472*x - 133361 = -491*x. What is the thousands digit of x?
7
Suppose 0 = -19*g - 74444 + 123614 + 109138. What is the tens digit of g?
3
Let x(z) = -81*z + 464. What is the tens digit of x(-99)?
8
What is the units digit of 359*(-2 + (-120)/(-6))?
2
Let n be (0 + 3/6)/((-1)/(-4)). Suppose -175 = -2*x + 5*m, -3*x + 422 = n*x + 3*m. Suppose 2*a = -4*d + 44, 2*a + 5 = 5*d + x. What is the units digit of a?
0
Let i(w) = -3*w**3 - 7*w**2 - 2. Let z be i(-3). What is the tens digit of z/4 + -5 - -185?
8
Let k be 14 + (1 - 2) + -2. Let c(l) = 13*l + 467. Let j be c(-36). Let f = j + k. What is the units digit of f?
0
Suppose -4*p - 7 = -15. Let n(r) = 3*r**3 + 5*r**p - 2*r**3 + 13*r - 5 - 13*r**2 - 4*r**2. What is the tens digit of n(11)?
1
Suppose h + 33 = 336. Let d be h/12 + (-3)/(-4). Suppose -g + d = g. What is the units digit of g?
3
Let n(g) = g + 3. Let l be n(-2). Let z(b) be the third derivative of 11*b**5/15 + b**4/12 - b**3/3 + 4*b**2. What is the tens digit of z(l)?
4
Let h(g) be the third derivative of g**6/120 - g**5/4 + 7*g**4/12 + 16*g**3/3 + 56*g**2. What is the tens digit of h(15)?
4
Suppose 4*p + p - 18 = -2*g, -g = -2*p + 9. Let a be (-3)/(p/(-8)*3). Suppose u = -a*l + 42, -l - 191 - 30 = -5*u. What is the tens digit of u?
4
Let y be (-2*1)/((-4)/58). Let l be 6/5*8500/255. Suppose 3*d - y - l = 0. What is the units digit of d?
3
Let z(g) = -g**3 - 8*g**2 - 2*g - 8. Let i be z(-8). Let q be 2*(-12)/9*(-12)/i. Suppose -q*c - o = -3*o - 128, 5*c - 158 = 3*o. What is the tens digit of c?
3
Suppose -7*x = -4*x + 1332. Let s be ((-3)/(-6))/(2/x). Let k = 192 + s. What is the units digit of k?
1
Let a(m) = 3*m**2 + 15*m - 6. Let z(k) = -7*k**3 - 4*k**2 + 5*k - 1. Let c be z(1). Let t be a(c). Suppose -172 = -8*u + t. What is the units digit of u?
6
Let k be -2 + 4 + -1 - (47 + -43). What is the tens digit of (-14)/k*420/5 - -1?
9
What is the tens digit of (-23623 - 9)/(-14) + -10?
7
Suppose 0 = 5*n + y - 35505, -169*n + 171*n - 14190 = 2*y. What is the thousands digit of n?
7
Let n(u) = -53*u + 14. Let s(b) = b + 1. Let g(i) = n(i) + 6*s(i). What is the units digit of g(-3)?
1
Let z = 65 + -55. Let q(b) = b**3 - 6*b**2 - 18*b + 23. What is the tens digit of q(z)?
4
Let a(p) = 23*p**3 - 10*p + 13. Let o be a(2). Suppose -o - 99 = -h. What is the tens digit of h?
7
Let k be (65/13)/(1 + -2). Let z(o) = o**2 + 6*o - 1. Let d be z(k). What is the units digit of (-550)/d + (-8)/12?
1
Suppose 655 = 5*v - 0*v - 2*x, -v - x + 124 = 0. Suppose -f + v + 202 = 0. What is the hundreds digit of f?
3
Suppose 65240 = 64*i - 15*i + 13006. What is the thousands digit of i?
1
Let q = -2412 + 4727. What is the thousands digit of q?
2
Let w = -165 - -18. Let r = -84 - w. Suppose -3*i - 2*p = -2*i - 22, 3*i = -3*p + r. What is the tens digit of i?
2
Suppose 8*n + 7*n = 45. What is the tens digit of n/2*(-2068)/(-33)?
9
Let x = -1639 + 6349. What is the tens digit of x?
1
Suppose -109*p + 105*p + 31928 = 0. What is the hundreds digit of p?
9
Let q = 126 + 122. Let x = q + 179. What is the tens digit of x?
2
Let u(v) = 2*v**2 - 11*v + 196. What is the tens digit of u(-51)?
5
Suppose -d - p + 8686 - 628 = 0, 3*d - 3*p = 24186. What is the tens digit of d?
6
Let z(o) = -7*o - 29. Let a(w) = -4*w + 13. Let m be a(7). Let j be z(m). Let r = j - 28. What is the units digit of r?
8
Let j(k) be the second derivative of -8*k**2 + 7*k - 4/3*k**3 + 0 + 1/6*k**4. What is the units digit of j(-4)?
8
Let q(i) = -33*i + 113. Let g be q(-20). Let d = g - 362. What is the hundreds digit of d?
4
Let b(u) be the second derivative of -u**4/6 + 31*u**3/6 - 20*u**2 + u - 17. What is the tens digit of b(13)?
2
Let a(q) = 1 + 7 - 56*q - 9 - 2. Let f be a(-4). Let g = f + -121. What is the hundreds digit of g?
1
What is the tens digit of (-7631 + 100)/((-1)/1)?
3
What is the hundreds digit of 6725 + 11/((-77)/(-42)) - (2 + 3)?
7
Let v be -2 + (-24)/(-10) - (-1476)/(-15). Let g = -61 - v. Let q = g + 4. What is the tens digit of q?
4
Let l be (4 - (3 - -24)) + 1. Let j = l + 64. What is the tens digit of (j/(-8))/(((-15)/56)/5)?
9
Let i = 9481 - -432. What is the tens digit of i?
1
Let z(u) = 49*u**2 + u. Let n be z(1). Let b be (-6)/4 - 5/(n/(-35)). Suppose v + 9 = 2*v + b*s, 5*s = -4*v + 39. What is the tens digit of v?
1
Let m(v) = -2*v**2 - 4*v - 4. Let f(l) = 3*l**2 + 5*l + 5. Let j(c) = 3*f(c) + 4*m(c). Let t be j(-1). What is the tens digit of 1/t - (0 - 34)?
3
Let u = 216 - 184. Let f = 327 - u. What is the hundreds digit of f?
2
Suppose 34*s = 144724 + 21366. What is the thousands digit of s?
4
Let w = -193 - -185. Let i(x) = 8*x**2 + 13*x + 6. What is the hundreds digit of i(w)?
4
Suppose -39 = 5*z - 104. Suppose -z*w = -23*w + 840. What is the tens digit of w?
8
Let q(x) = 3*x + 18. Let n be q(-14). Let i = -2 - n. Suppose i = 2*f + 4*m, 4*f - f = -4*m + 23. What is the units digit of f?
1
Let r(s) = -3*s + 35. Let l be r(11). Suppose 3*t = l*z + 1220, -743 = -4*t + 2*z + 883. What is the units digit of t?
6
Let q(k) = -k - 16. Let g(o) = -1. Let v(a) = -5*g(a) - q(a). What is the units digit of v(6)?
7
Suppose 4*b - 6300 = -0*b. Suppose -b = -103*v + 96*v. What is the tens digit of v?
2
Let b = -1133 - -2065. What is the tens digit of b?
3
Let t(h) = -64*h - 7*h - 31*h - 3. Suppose -710 = 21*n - 689. What is the units digit of t(n)?
9
Let y(v) = 747*v + 86. What is the thousands digit of y(9)?
6
Let x be 42/15*(7 - 2). Suppose 0 = 19*u - x*u - 30. Suppose -u*r + 183 = -123. What is the units digit of r?
1
Let n = -2122 + 3992. What is the hundreds digit of n?
8
Let o = -15912 - -22437. What is the units digit of o?
5
Let d(u) = 81*u**2 - 10*u + 5. Let y be d(-7). What is the units digit of (32/12 - 3)/((-4)/y)?
7
Suppose -6*m + 17225 + 10717 = 0. What is the thousands digit of m?
4
Let s(m) = 20*m**3 - 10*m**2 + 25*m - 132. What is the units digit of s(7)?
3
Let o(g) = -g**3 + 8*g**2 - 9*g - 1. Let i be o(5). Suppose i*u - 20*u - 2592 = 0. What is the units digit of u?
8
Let k(u) = 2*u**2 - 35*u + 18. Let f be k(11). Let x = f + 256. What is the units digit of x?
1
Let i(a) = -a**2 + 5*a + 8. Let m be i(6). Let s be 0 + 1407/36 + 27/(-324). Suppose -s = m*b - 3*b. What is the tens digit of b?
3
Suppose 4*d + 3*g + 143 = 0, 5*d - 3*g + g + 173 = 0. Let t = d - -44. Suppose 16 = -t*o + 268. What is the tens digit of o?
2
Suppose 0 = -l - 3*w + 9, 4*l - 75 = w + 13. Let c = l + -17. Suppose -172 = 2*u - c*u. What is the units digit of u?
6
Let q be (-3)/((-6)/(-4)) - (16 + -288). Suppose 95*j = 93*j + q. What is the hundreds digit of j?
1
Let x(m) = 3*m**3 + 9*m**2 - 60*m + 645. What is the tens digit of x(10)?
4
Let c(y) = 1446*y**3 - 2*y + 1. Let o be c(1). Suppose -5*k + 2203 = -3*l, 5*k - 751 = -4*l + o. What is the tens digit of k?
4
Let v = -13264 - -20383. What is the tens digit of v?
1
Let s = -50 + -157. Let b(y) = y - 7. Let i be b(4). What is the tens digit of s/(-6)*(-4)/i?
4
Let n be 0 - (-43 - (1 - -1)). Let t be ((-480)/420)/((-4)/21). Suppose t*k = k + n. What is the units digit of k?
9
Let b be 105/(-30)*(2 + (-1 - -1)). Let t(o) = o**2 + 7*o - 3. Let c(u) = 2*u**2 + 14*u - 5. Let q(m) = 4*c(m) - 7*t(m). What is the units digit of q(b)?
1
Let p = -3877 + 6405. What is the units digit of p?
8
Let h(v) be the second derivative of -v**5/10 - 7*v**4/6 - 8*v**3/3 - 63*v**2/2 + 9*v - 2. What is the tens digit of h(-9)?
0
Suppose 2*t - 3*p - 20 = -0*p, 3*p = -12. Suppose 3*g = -t*g + 763. What is the tens digit of g?
0
Suppose 8*a = 15303 + 216 + 17857. What is the hundreds digit of a?
1
Suppose -100*h + 411392 = 18*h - 137426. What is the tens digit of h?
5
Suppose 19 = 4*h + 3. Let d be (h + (-21)/9)*3. Suppose d*x - x - 1 = -t, 2*t - 2*x - 2 = 0. What is the units digit of t?
1
Let y(w) = -2413*w - 49. Let l be y(-4). What is the units digit of 27/(-21) + 1 - l/(-21)?
7
Let p(t) = -14*t + 16. Let z be p(-5). Let q = z - 251. What is the units digit of (-3)/6 - q/2?
2
What is the units digit of 15/1*(-70)/175 + 2992?
6
Suppose -3*k + 8*k = 3*m - 220, -k - 3*m - 62 = 0. Let h(o) = -25*o - 3. Let y be h(-1). Let t = y - k. What is the units digit of t?
9
Let s(m) = m**2 - 16*m - 25. Let r be s(15). What is the units digit of ((-48)/(-10))/(r/(-1900))?
8
Suppose 10 = -2*x + 2*m + 204, 0 = 4*x + m - 413. Suppose -790 = -4*v - 134. Let u = v - x. What is the units digit of u?
2
What is the units digit of 189436/22 + (-63)/(-231)?
1
Let v = 3614 - 1110. What is the tens digit of v?
0
Suppose 29*s + 16362 = 47*s. What is the hundreds digit of s?
9
Let m be (4 + -6)*(-8)/16. What is the tens digit of (-8 + 7)/(m*(-4)/1284)?
2
Suppose -5*x - 5*n = -15, 0 = -0*x + 4*x - n - 7. Suppose 0 = x*c + 110 - 318. What is the tens digit of c?
0
Let a(i) = 34*i + 19. Let k(j) = -j**2 + 12*j - 24. Let r be k(9). What is the tens digit of a(r)?
2
Suppose 1117*j - 1106*j = 30305. What is the thousands digit of j?
2
Let l(n) = 16*n**2 - 2*n + 286. What is the thousands digit of l(-18)?
5
Suppose 0 = 3*w - 3, -5*o + 50 + 161 = -4*w. Suppose 4*h + 2*u - o = 187, -2*u - 176 = -3*h. What is the tens digit of h?
5
Suppose 5*c - 6704 = -j + 1645, 0 = -2*j - 2. What is the thousands digit of c?
1
What is the thousands digit of 468464/52 - 4*1/(-52)?
9
Suppose -4*j - 3*s = -5163, -5*j = -3*s - 8494 + 2047. What is the units digit of j?
0
Suppose 144*x - 149*x + 220 = 0. What is the tens digit of x - -10 - (0 + 3)?
5
Suppose 0*f + 3*v = 3*f - 654, 2*v = 4*f - 866. Let r = f + -109. What is the hundreds digit of r?
1
What is the thousands digit of -1 - (-3 + -3) - (-5534 - -2)?
5
Let r = 102 - 98. Let y(v) = 54*v - 26. What is the tens digit of y(r)?
9
What is the tens digit of (212712/28 - 3/(-21)) + 2?
9
Let r(u) = -4*u + 26. Suppose c + 3*c = 4*o + 204, 5*c - 2*o = 264. Suppose -5*y = 4*k + 19, 4*k - 4*y = -2*y - c. What is the tens digit of r(k)?
7
Let y = 1822 - -4655. What is the thousands digit of y?
6
Suppose 11*o - 14098 - 4197 - 84280 = 0. What is the thousands digit of o?
9
Let j(y) = -4*y**3 - 2*y**2 - 7*y + 1. Suppose -21*i = -22*i - 4. What is the hundreds digit of j(i)?
2
Let k be ((-22)/(-4) - 6)/(1/(-238)). Suppose 4*b = i - k, -2*i + 274 = 3*b - 2*b. What is the tens digit of i?
3
Suppose 3 - 13 = -2*i. Suppose i*w - 7*w = -158. What is the units digit of w?
9
Suppose 3*k + k = 5*w + 22, -2*w = -4. What is the tens digit of -71*((-1)/(-2))/(-1)*k?
8
What is the tens digit of (1/3)/(74/469530)?
1
Let g(k) = 3*k + 22. Let v be g(-10). Let i be (-1 - v/4)*-35. Let d = 116 + i. What is the tens digit of d?
8
Let a(h) = -2*h - 3 - 8 - 2*h + 6*h. Let j be a(6). What is the tens digit of (-29*(2 + -1))/((-1)/j)?
2
Suppose 35*c - 7*c - 65604 = 0. What is the tens digit of c?
4
Let d = -2808 + 4383. Suppose 114*w = 121*w - d. What is the units digit of w?
5
Let s = -1768 - -8448. What is the hundreds digit of s?
6
Let x = 391 - -1659. Suppose 0 = -0*l - 5*l + x. What is the hundreds digit of l?
4
Let q(p) = -p**2 + 5*p - 2. Suppose -2*k = -2*x + k + 3, -4*x + 16 = 4*k. Suppose -5*o - s = -9 - 9, 6 = x*o - s. What is the units digit of q(o)?
4
Suppose -l - 8*w + 2 = -12*w, -3*w + 6 = 0. What is the hundreds digit of 3768/l - 4/(-22 - -2)?
3
Let z(f) = -10 - 8 + 2*f**2 + f + 8*f. Let h = 159 + -169. What is the units digit of z(h)?
2
Suppose 3*c = -5*r + 22327 + 2162, -12 = 4*r. What is the tens digit of c?
6
Let l = -5187 + 8632. What is the hundreds digit of l?
4
Let o(s) = 1048*s**2 + 184*s + 545. What is the units digit of o(-3)?
5
Suppose -4*c = -4 + 20. Let n = -59 + 41. What is the tens digit of (n/c)/((-3)/(-30))?
4
Let x(p) = -221*p + 2641. What is the tens digit of x(0)?
4
Suppose -27 = -6*u - 3. Suppose -5*o = u*b + 149 - 705, 2*b - 288 = -5*o. What is the hundreds digit of b?
1
Suppose 8*l = -5*h + 15799, -3*h - 1007 - 986 = -l. What is the hundreds digit of l?
9
Suppose 60*q = 169*q - 327. Let a(j) = -j**3 + 8*j**2 + j + 6. Let y be a(6). Suppose -q*r = -5*d - 7*r + 392, d - y = 2*r. What is the tens digit of d?
8
Let a(f) be the first derivative of 1/3*f**3 - 3*f - 10 - 1/2*f**2. What is the units digit of a(-2)?
3
Let q(y) = y**3 + 12*y**2 + 6*y - 7. Let j be q(-5). Suppose 0 = -4*b - 3*v - 82 - 487, -5*v - j = b. Let k = b - -244. What is the tens digit of k?
0
Let y = 161 + -437. Let k = y + 549. What is the units digit of k?
3
What is the hundreds digit of (138/10 - 14)/((-2)/7570 - 0)?
7
Suppose -1281 = -2*i + 3*v + 4613, -4*i + 11804 = 2*v. What is the tens digit of i/14 - 4/(-14) - 1?
1
Suppose 2*h = -4, -79*h + 80*h = -3*s + 27775. What is the units digit of s?
9
Let x(z) = z**2 + 4*z + z**2 - 2*z**2 + 2*z**2. Let u be x(-3). Let i = 1 + u. What is the units digit of i?
7
Let d(l) = -l**2 + 30*l + 1. Let y be (-1)/(15/(-153)) + 1/(-5). What is the tens digit of d(y)?
0
Suppose 5*o = 5, 5*o - 87 = u + 40. Let s = u + 447. What is the units digit of s?
5
Let m(p) = 36*p**2 - 3*p - 22. What is the tens digit of m(-7)?
6
Suppose -3*w - 18412 = -4*k + 738, -3*w + 19138 = 4*k. What is the thousands digit of k?
4
Let u = -243 - -23. Let w be (1/2)/((-11)/u). Suppose y - w = -2*c, -4*c + 4*y = 3 - 23. What is the units digit of c?
5
Let g = 32 + 53. Let h = 228 + g. What is the tens digit of h?
1
Let u(p) = -p**2 + 4*p + 2. Suppose 25 + 39 = 4*a. Suppose 28*l + a = 32*l. What is the units digit of u(l)?
2
Let z = 23 - 22. Let c be 8/(-52) + ((-67)/(-13) - z). Suppose c*v = 3*v + 19. What is the units digit of v?
9
Let l(i) = i**3 + 16*i**2 + 18*i + 59. What is the units digit of l(-15)?
4
Suppose 0 = 4*g - 1611 + 495. Let j = g - 127. Suppose -5*l + j = -78. What is the tens digit of l?
4
Suppose 0 = 2*k + 4*t - 9378, 0 = 2*k - t - 3544 - 5849. What is the tens digit of k?
9
Suppose -4*n = -o - 19260, -4*n - 5*o = -3474 - 15762. What is the units digit of n?
4
Suppose 270 = -4*c + 282, c = 4*b - 29129. What is the thousands digit of b?
7
Let s(v) = 32*v**2 - 2*v + 5. Let p be s(-2). Let f = 218 + p. What is the tens digit of f?
5
Let k = 26 - 22. Let y be (-6)/k*32/(-12). Suppose 5*r = y*a + 196, 5*r - 119 - 53 = -2*a. What is the units digit of r?
6
Let i = 220 - 149. What is the units digit of i + 23 - (5 + 0)?
9
Let w be 44/(2*1/31). Suppose -3*i + 3*z + 22 = z, i = -2*z + 2. What is the tens digit of i/(-30) - (w/(-10) - 2)?
7
Let l be -2 + (0/3)/(-2) + 647. Let p = l - 180. What is the hundreds digit of p?
4
Suppose 0 = -2*t + 4*d + 126 + 140, 5*t + 2*d - 677 = 0. Let v = t - 102. What is the tens digit of v?
3
What is the thousands digit of 110/(-10) + 13 - -2513?
2
What is the thousands digit of 1811 - (-3 - 1*5/(-5))?
1
Let q(j) = 95*j - 6. Let r be q(2). Let l be (-4 - r/(-6))*3. What is the tens digit of l/30*36/2?
4
What is the tens digit of 2385/(-1325) - 74058/(-10)?
0
Suppose -j = -9*j + 16. Suppose w - 18 = -j*w + 2*h, h + 37 = 5*w. Suppose w*c - 3*c = 465. What is the tens digit of c?
9
Suppose -4*h + 2223 = 3*x, 0 = x - 4*h + 5*h - 742. Suppose -22*o + x = -17*o. What is the units digit of o?
9
Let d = 52 + -49. Let l(p) = 39*p**2 - 12*p - 1. What is the tens digit of l(d)?
1
Suppose -84*n = -95*n + 33. Suppose -n*c + 4*c = 4*s - 1521, 5*c + 25 = 0. What is the units digit of s?
9
Suppose 5*z - 320 = -0*z. Suppose x - z = -4. Suppose j - 32 = -4*f + 180, -f = 2*j - x. What is the tens digit of f?
5
What is the hundreds digit of -2*44/3*(-684)/96?
2
What is the thousands digit of (87282/(-65))/(172/(-80) - -2)?
8
Suppose 0 = t - 11 + 9. Let n be (t/((-8)/30))/((-4)/8). Let d(c) = -2*c**2 + 32*c + 10. What is the tens digit of d(n)?
4
Let c be (9/4)/((-20)/(-19600)). Suppose -18*v + c = -3*v. What is the tens digit of v?
4
Suppose -7*q = -4*k - 6*q + 3487, 0 = k - 3*q - 869. What is the tens digit of k?
7
Let n = -39 + 41. Let w(h) = -3*h - n + h - 4*h - 1. What is the units digit of w(-1)?
3
Let p = 74 + -99. What is the hundreds digit of (-105)/p + -4 + 3027/15?
2
Let i = 285 - 16. Suppose -1093 = -6*l + i. What is the hundreds digit of l?
2
Let t(s) = -18*s**3 - 3*s**2 + 12*s + 11. What is the tens digit of t(-4)?
6
Let g(y) = 5*y**2 - 3*y - 12. Let s = 49 + -43. Let h be g(s). What is the units digit of ((-36)/(-5))/(45/h)?
4
Let s(c) be the third derivative of -c**4/8 + 16*c**3/3 - 10*c**2 - 5. What is the tens digit of s(-6)?
5
Suppose -4*o + 17*o + 543996 = 94*o. What is the thousands digit of o?
6
Let a(u) = 10*u**2 + 4*u - 229. What is the hundreds digit of a(-30)?
6
Suppose -3*i + 2*g + 28550 = 0, i - 14*g - 9519 = -11*g. What is the tens digit of i?
1
Let x = 144 + -52. Let k = 211 - x. What is the units digit of k?
9
Let c = 3128 + 1191. What is the tens digit of c?
1
Suppose -m = n - 115 - 1916, 4*m + 2*n - 8128 = 0. Suppose 22*c = m + 1575. What is the units digit of c?
4
Let m be (-15)/(-1)*(-6 + 7). Suppose -1 = -h + 4*f + 13, f = 5*h - 165. Suppose d = 4*t - h, -d + 4*d - m = -t. What is the units digit of t?
9
Suppose -62*p - 74372 = -249646. What is the tens digit of p?
2
Let a(b) = -5*b + 30. Let g(o) = 10*o - 59. Let k(u) = -5*a(u) - 2*g(u). Let v be k(8). Let m(j) = 7*j - 16. What is the tens digit of m(v)?
4
Suppose -g - 34 + 48 = 0. Suppose -g*d = 15*d - 12035. What is the hundreds digit of d?
4
Let g(x) = x**3 + 21*x**2 + 21*x + 6. Let u be g(-20). Let r = 19 + u. Suppose r*a + 373 = 4*v, 2 = -a - 3. What is the units digit of v?
7
Suppose 9244 = 4*z - 10*g + 5*g, 3*z - 3*g = 6933. What is the thousands digit of z?
2
Let w = 216 + -379. Let z = 178 - w. What is the units digit of z?
1
What is the thousands digit of (3218 - -20) + 13*-1?
3
Suppose 7 - 14 = z - 5*j, 4*z - 3*j = -11. Let f be (z - -3 - -2) + -4. What is the tens digit of 3 + (-4 - -81) + f?
7
Suppose -3*q - 5*c + 32 + 11 = 0, -4*c - 4 = -4*q. Suppose q*y + 716 = 8*y. What is the tens digit of y?
5
Let a(t) = -t**3 - 3*t**2 + t + 3. Let i be a(2). What is the tens digit of (-35)/(3 + 50/i)?
0
Let n be 346/(-8) + 5/20. Let r = 50 + n. Let h = 41 - r. What is the tens digit of h?
3
Let t be (-6)/8 - 190/(-40). Suppose -t*c + 8*c + 5*g - 1659 = 0, -3*c - 2*g + 1253 = 0. What is the tens digit of c?
2
Let d be (-3)/(-1)*(-6 + 22/3). Suppose 0 = 5*v + 2*s - 2312, -3*v - 5*s - 457 = -d*v. What is the hundreds digit of v?
4
Let m be 20*(-1 - 48/(-30)). What is the tens digit of (-4360)/(-12) - (-8)/m?
6
Suppose 0 = -5*t + 4*s + 3061, -5*t - s - s = -3067. Let k = -329 + t. What is the hundreds digit of k?
2
Suppose 168*b - 164*b = 460. Suppose -5*q - 5*z - 345 = 0, 3*q + q + 5*z = -281. Let s = q + b. What is the units digit of s?
1
Let r be (-24)/(-10) - 94/235. Let d(j) = -3*j - 4. Let n be d(-3). Suppose r*q = 2*o + 30, n*o = 2*o + 12. What is the units digit of q?
9
Let u be 45/(-10) + (-2)/(-4). Let l(f) = -2*f - 10. Let t be l(-7). What is the units digit of t + -9*u/12?
7
Let g(v) = -17*v - 8. Suppose 0 = -s - 3*a - 3, 2*a = -4*s + 3*a - 51. Let o be g(s). Suppose -n = -3*n + o. What is the tens digit of n?
9
Let t = 1675 + -774. Suppose -10*r + 3*c - 307 = -11*r, 3*r = c + t. What is the units digit of r?
1
Let j be ((-3315)/(-10))/(12/6176). What is the hundreds digit of j/520 + (-1)/10?
3
Let k(o) = -o**3 - 10*o**2 + 7*o + 12. Suppose 9*f + 6 = -93. Let w be k(f). Let m = 78 - w. What is the units digit of m?
2
Let a = -15 + 20. Let p be 3/5 + (-18)/a. What is the tens digit of 286/4 + p*2/12?
7
Let y = -12613 + 19030. What is the units digit of y?
7
Suppose j - 5*r = 8, -3*j - 4*r + r + 6 = 0. Suppose t = -x + j*t + 95, -x - t = -98. What is the tens digit of x?
9
Suppose 0 = 5*f - 4*f + 46. Let c = 78 - 108. What is the tens digit of (5/c*f)/(2/12)?
4
Let p = -149 - -153. What is the tens digit of (-20 - -2)*-5 + p?
9
Suppose 5*x - 4*y - 6029 = -1459, -4*x + 5*y + 3665 = 0. What is the hundreds digit of x?
9
Let g = -62 + 90. Let n = 224 + g. What is the units digit of n?
2
Let p(s) = 41*s**2 + 5*s + 11. What is the units digit of p(-2)?
5
What is the thousands digit of 40/(-16)*4380/(-2) + -1?
5
Let h(t) = -3*t**2 + 7*t + 3*t**2 - 2 + 2*t**2. Let j be 5/((-11)/(-7) + 20/(-35)). What is the units digit of h(j)?
3
What is the hundreds digit of (2/8)/((-13)/52) - -3788?
7
Suppose 4*s + t = 2897, -5*t = 2*s - 6*t - 1441. Let k = s + -410. What is the tens digit of k?
1
Let k(v) = -7274*v**3 + v**2 + 11*v + 10. What is the hundreds digit of k(-1)?
2
Let u(f) = 2*f**2 - 11*f - 1. Let z = 40 - 32. Let w be u(z). Suppose 44*d = w*d + 200. What is the tens digit of d?
4
Suppose 2*u - 19108 = -7*o, 0 = -8*o + 3*o - 10. What is the hundreds digit of u?
5
Let t = -248 - -364. Let s = t + -27. What is the units digit of s?
9
Suppose 11*y - 1 - 109 = 0. Suppose 2*r - 2 = -l - l, 0 = -l + 2. What is the units digit of 35/y - r/2?
4
What is the units digit of ((-17624)/10)/(8*(-15)/300)?
6
Let o(g) = 106*g**2 + 70*g - 8. What is the hundreds digit of o(-10)?
8
Let y be -17 + 7 + (0 - (-20)/(-4)). Let n(d) be the third derivative of -d**5/60 - 3*d**4/4 + 23*d**3/6 + d**2. What is the tens digit of n(y)?
6
Let g(v) = 5490*v**3 + 40*v**2 - 41*v. What is the thousands digit of g(1)?
5
Let g be (-22)/(-14) - (-93)/217. Suppose -847 = h - 5*h - 5*l, 3*h - g*l - 641 = 0. What is the hundreds digit of h?
2
Let k = 8077 + -5392. What is the tens digit of k?
8
Let d = 31 + -13. Let m = d + -16. Suppose -m*k + 66 = 2*k - 2*t, t - 12 = -k. What is the tens digit of k?
1
Suppose 5*l - 9967 = -m, 4*l = -3*m + 3*l + 29943. What is the tens digit of m?
8
Suppose -m + 18*m = -714. What is the hundreds digit of 2145/22*m/(-9)?
4
Suppose -539 + 1414 = 7*i. Let a = 273 - i. Let f = a + -96. What is the units digit of f?
2
What is the hundreds digit of ((-4 + 3)*1 - -7)*(-378427)/(-294)?
7
Let z = 26 + -30. Let n be (-2)/(-20)*z - 44/(-10). Suppose 0 = -p, 0 = -2*l - n*p + 2 + 30. What is the units digit of l?
6
Let l be 4 + 35/(-28) + (-3)/4. Let v(j) = 7*j**2 + 16*j. What is the tens digit of v(l)?
6
Let h(f) = f**2 - 2*f - 83. Let l be h(-20). What is the tens digit of l + 1 + -3 + 4/4?
5
Let s(r) = 31*r**3 + 4*r**2 + r - 12. What is the tens digit of s(4)?
4
Suppose 2563 + 1703 = -6*d. Let h = d - -490. Let i = h - -312. What is the tens digit of i?
9
Let k = -19 - -61. Let f = k - -32. What is the tens digit of f?
7
Suppose -4*i - 4*m = -28, -4*i - 4 = -3*m + 3. Let f(n) = 5*n - 5*n + i + 7*n - 20. What is the units digit of f(4)?
0
Suppose 5*p = 5*q - 2375, -2*q - p + 309 = -647. Let x = -127 + q. What is the hundreds digit of x?
3
Let u(k) = -k**3 - 6*k**2 - 12*k - 11. Let n = 142 + -151. What is the hundreds digit of u(n)?
3
Suppose 4*x + 67 = -3*z + 23, 0 = -3*x - 6. What is the tens digit of 1 - (-1 + -203)/(z/(-16))?
7
Let s = 451 - 448. Suppose 4*v = -0*v + 4*r, -3*v - 2*r + 15 = 0. Suppose s*t + 206 = 5*x, 2*x - 181 = -2*x - v*t. What is the units digit of x?
3
Suppose -3*h - 5*g = 0, -6*g = h - g. Suppose -2*d + 4 = -0*d. Suppose h = d*q + 2*q - 40. What is the units digit of q?
0
Let q(a) = 11*a**2 + 40*a - 21. What is the hundreds digit of q(-14)?
5
Let f(u) = -3*u**3 + 14*u**2 - 21*u + 12. Let o(s) = s**3 + 2*s. Let c(d) = -f(d) - 4*o(d). What is the tens digit of c(-15)?
1
Let s = -95 - -99. Suppose -8*o - 1300 = -4*z - 5*o, 3*z = -s*o + 950. What is the hundreds digit of z?
3
What is the hundreds digit of (2/(-2 + -2))/((-19774)/(-19776) + -1)?
9
Let s(a) = -6*a**3 - 10*a + 4*a**3 - 7 + a**3 + 7*a**2 + 24. Let l be s(7). Let h = -34 - l. What is the units digit of h?
9
Suppose 3*t - 12 = -0*t, -3*p + 20 = 5*t. Suppose p = -4*x + 814 - 138. What is the units digit of x?
9
Suppose -4*o = i - 14, -2*i + 2*o = i. Suppose -431 = -5*p + p + 3*t, -4*t = -12. Suppose -p = -2*z + m, -7*z = -i*z + 2*m - 257. What is the tens digit of z?
5
Suppose 0 = -17*t + 73621 - 15345. What is the tens digit of t?
2
Suppose b + 5*q - 9 = 0, b - 8 = -7*q + 3*q. Let y(j) = 94*j. What is the tens digit of y(b)?
7
Suppose 5*f + 5*p + 815 = -370, -4*f = -3*p + 927. Let w = 639 + f. What is the hundreds digit of w?
4
Suppose -4 = 2*o, -44*a - 8662 = -47*a + 5*o. What is the thousands digit of a?
2
Suppose -44 = 3*g + g. Let s = 14 + g. Suppose 49 = -l + 3*l - s*y, -2*y + 122 = 4*l. What is the tens digit of l?
2
Let o(k) = -k**2 - 12*k - 34. Let j be o(-30). Let x = 913 + j. What is the hundreds digit of x?
3
Let l be (32/(-20))/((-3)/(-30)). Let y = -51 - l. Let x = y + 55. What is the tens digit of x?
2
Suppose t - 6644 = 1500. What is the units digit of t?
4
Let r = 9 + 4. Suppose 0 = 5*i - 3*x - x - r, -x = -4*i + 17. Suppose 0 = i*n - 4*l - 450, -3*n + 0*n + l + 277 = 0. What is the units digit of n?
4
Let d = -1958 + 8321. What is the hundreds digit of d?
3
Let p = 14 - 9. Suppose j + j - p*i - 230 = 0, 0 = 3*j + 3*i - 366. Let y = 207 - j. What is the tens digit of y?
8
What is the tens digit of 2095/10*4*10/(-40)*-4?
3
Suppose 4*s + 92 = 2*l, -l = 5*s - 5 - 48. Let r = -42 - -55. Suppose -47*o + l*o - r = 0. What is the units digit of o?
3
Let b(d) = -73*d**3 + 2*d + 3. Let w be b(-1). What is the tens digit of w - (-6)/(-2) - (2 - 6)?
7
Let h(l) = -30 + l**3 - 6 - 5*l - 12 + 36*l**2. What is the hundreds digit of h(-36)?
1
Let r(w) be the first derivative of -w**2/2 + 34*w + 3. Suppose 203 + 17 = 11*d. What is the tens digit of r(d)?
1
Let z(n) = 3*n**3 - 21*n**2 + 125*n - 2. What is the hundreds digit of z(13)?
6
Let t(w) = -w**2 - 15*w - 11. Let u be (-1)/(12/(-9))*8/2. Let h be (-4 - (u - 8)) + -14. What is the units digit of t(h)?
5
Let z(k) be the second derivative of -k**4/12 + 2*k**3 + 15*k**2/2 + 7*k + 6. What is the tens digit of z(10)?
3
Let s(l) = 2*l**3 + 13*l**2 + 5*l. Let o be s(-6). Let g be ((-45)/20)/(o/(-64)). What is the units digit of g/12 + 5*19?
7
Suppose 0 = g - 6*g - 20. Let v be ((-350)/(-28))/((-2)/g). Suppose -v = -x - 4*x. What is the units digit of x?
5
Let b(s) = 207*s - 64. What is the units digit of b(12)?
0
Suppose 37*z + 30 = 31*z. Let d(y) be the third derivative of y**5/15 + y**2. What is the units digit of d(z)?
0
Suppose -4*o - 5*s = -0*s + 770, -s + 197 = -o. Suppose -m - 2*m = -873. Let n = o + m. What is the tens digit of n?
9
Suppose -9600 = 37*c - 282475. What is the thousands digit of c?
7
Let k = 16057 - 6237. What is the hundreds digit of k?
8
Suppose -8*v = -3*v + 2*m + 5, -v = m - 2. Let w be 147/9 - v/(-9). Suppose -183 = -4*q + 5*u, q - 29 - w = u. What is the tens digit of q?
4
Suppose -42*p + 166284 + 7482 = 40164. What is the tens digit of p?
8
Suppose -308536 - 11182 = -82*q. What is the tens digit of q?
9
Let h = 5806 + -4955. What is the tens digit of h?
5
Let v = 16216 - 9369. What is the units digit of v?
7
Suppose 2*s - 1392 = 5*s - 3*p, -4*s - 5*p - 1883 = 0. Let l = s - -920. What is the hundreds digit of l?
4
Let d(k) = k - k**2 + 8 + 77 + 11 + 2*k**2. Suppose -20*v - 4*v = 0. What is the units digit of d(v)?
6
Let c(u) = -u**3 - 2*u**2 - 2. Let y be ((-8)/(-6))/((-1)/(-3)). Suppose 0 = 3*f - y*z + 28, 2*f = -0*f - 2*z. What is the units digit of c(f)?
0
Suppose -5*r - 2*d = 210, -2*r - 2*d + 4*d - 84 = 0. What is the units digit of r + 39 + 212 + 0?
9
Suppose 8 = r + r. Let l(d) = -32*d + 11. Let q be l(-4). Suppose 3*j = -0*j + 5*o + q, r*j - 142 = -2*o. What is the units digit of j?
8
Suppose 54*c - 40*c = 23184. What is the units digit of c?
6
Let s = -11276 + 17715. What is the tens digit of s?
3
Suppose -27018 = -3*w + 3*r, -4*w - 6*r + 36004 = -5*r. What is the tens digit of w?
0
Suppose 0 = 15*h - 19*h - 24. What is the tens digit of (8/6)/(-5*h/4005)?
7
Let q = 14531 + -8445. What is the hundreds digit of q?
0
Suppose -33*x + 29*x = k - 10032, 5*x = -4*k + 12540. What is the units digit of x?
8
Let j = 3 - 0. Suppose j*r - 545 - 721 = 0. What is the units digit of r?
2
Let z(m) be the third derivative of -m**6/120 - 9*m**5/20 - 13*m**4/8 + 15*m**3/2 - 9*m**2. What is the units digit of z(-26)?
3
Let y(z) = -25*z**2 + 6*z + 9. Let s(b) = b**3 + 2*b**2 - b + 4. Let h be s(-3). Let a be y(h). Let p = a + 160. What is the tens digit of p?
5
Suppose -4*w - 132 = -4*j, -3*j - w + 2*w + 95 = 0. Suppose -182 = -5*v + 343. Suppose j = -y + v. What is the tens digit of y?
7
Suppose 2*t + 342 - 1192 = 0. Let k = t + -292. What is the tens digit of k?
3
Let r = 26 - 24. Let x = r + -2. Suppose x = 4*v - 0*v - 40. What is the units digit of v?
0
Suppose 0 = -2*b - 2, -3*b - 42 = -5*a - b. Suppose 6*d + a = 110. Suppose d = x - 0*h + 4*h, 4*x + 5*h = 112. What is the units digit of x?
3
Let z be (-609)/(-58)*(3 + -1). Suppose 0 = -24*f + z*f + 327. What is the hundreds digit of f?
1
Suppose 0 = 100*r - 98*r - i - 15784, 4*i + 23681 = 3*r. What is the hundreds digit of r?
8
Let v(w) = -w**2 + 19*w + 23. Let g be v(20). Suppose 3*t = g*d - 4*d + 366, -5*d + 1878 = -t. What is the tens digit of d?
7
Let t(o) = -45 + 0*o + 41 - o. Let g be t(-3). Let x(b) = -54*b**3 + 3*b**2 + 3*b + 1. What is the tens digit of x(g)?
5
Let c = 1723 - -909. What is the thousands digit of c?
2
Let f = -90 + 55. Let b = 38 + f. Suppose 2*y = 7*y - b*w - 180, -y = -w - 36. What is the tens digit of y?
3
Let a = -224 + 231. Suppose a*k = 131 + 121. What is the tens digit of k?
3
What is the units digit of (-2370)/(-195) - 12 - (-3 - (-64530)/(-13))?
7
Suppose 5*x - 5*f = -0*x + 4250, -5*f = x - 832. What is the hundreds digit of (2 + 1)*x/21?
1
Let g(f) = 6*f**3 - 9*f**2 + 22*f - 7. What is the units digit of g(4)?
1
Let k be 4/(-1) - (-6 + -1). Let f be 50/15 + (-4)/k. What is the tens digit of (f - 3)*13*-6?
7
Suppose -u = 3*u + 168. Let v = u + 46. Suppose v*f - 3*m - 56 = 94, 0 = -4*m + 8. What is the units digit of f?
9
Suppose 0 = 4*u + 8542 - 12485 - 24381. What is the thousands digit of u?
7
Let a(x) = 3*x**3 - 8*x**2 - 17*x - 9. Let p(v) = 7*v**3 - 15*v**2 - 33*v - 19. Let l(k) = -9*a(k) + 4*p(k). What is the hundreds digit of l(-7)?
1
Let z = 6990 - 3446. What is the hundreds digit of z?
5
Suppose -3*u + 1 + 3 = -x, 2 = -3*u - 5*x. Suppose 5*s = p + u + 1, 10 = -5*p + 4*s. What is the tens digit of 4 - (-240)/((-6)/p)?
8
Let p be (-3 + -239)/(-2) - 0. Suppose -119 = -10*l + p. What is the units digit of l/36 + 4/3?
2
Let g = 1 - -1. Let h(t) = t + 1. Let k be h(g). Let o(d) = 5*d - 1. What is the tens digit of o(k)?
1
Suppose 5*r - 2*t - 198 = -4*t, 3*t = -r + 37. What is the units digit of 0 + 1/8 + 6675/r?
7
Suppose -14522 = -86*c + 12997 + 2151. What is the tens digit of c?
4
Let i(v) = 35*v - 3 + 34*v**2 + 4 - 35*v**2. What is the hundreds digit of i(15)?
3
Suppose 10*y - 5*y - 10 = 4*t, 2*y - 4 = 0. Suppose -4*d - 5*u - 32 = -0*u, t = d - 4*u + 29. Let o = d + 106. What is the tens digit of o?
9
What is the units digit of 2 + -2 - (-3 + -4 + -8775 - -7)?
5
Suppose 4*m + 760 = 6*i - 2*i, -5*m = -i + 186. Suppose -2*b = -0*b + 3*f - i, -3*f = b - 103. What is the units digit of b?
8
Suppose 11*z = -3*z + 28. Suppose 647 = 3*q - z*y, 205 = q + 2*y - 0*y. What is the tens digit of q?
1
Let q be 2 + 0 + 1 + (-3)/(-1). Let w(d) = -3*d - 2. Let l be w(q). What is the units digit of 30/l*(-34)/3?
7
Let f(a) be the second derivative of 6*a**3 + 37*a**2/2 + 6*a - 1. What is the units digit of f(8)?
5
Suppose -5*l = -3*q + 13 + 95, 3*l - 3*q + 60 = 0. What is the tens digit of (-36)/(-21)*(-1596)/l?
1
Let b(n) be the third derivative of n**5/20 - n**4/4 + 10*n**3/3 - 5*n**2. What is the hundreds digit of b(11)?
3
Let g = -830 + -9. Let u = -555 - g. What is the hundreds digit of u?
2
Let c(r) be the second derivative of r**5/20 - 7*r**4/12 - r**3/3 + 7*r**2 - 6*r. Let s be c(7). Suppose s = -5*y + 15 + 10. What is the units digit of y?
5
Suppose -3*t - 2*h = -12653, 135*t + 5*h = 137*t - 8467. What is the units digit of t?
1
Let f = -163 + 168. Suppose -f*a + 1786 = -534. What is the hundreds digit of a?
4
Suppose -9*h - 950 = -14*h. Let c = 100 + -193. Let d = c + h. What is the units digit of d?
7
Suppose -5*m + 122 = 12. Let z be 348/60 - (m/(-10) - -2). What is the tens digit of (-1)/((-155)/77 + z/3)?
7
Suppose -2*o = 2*w - 10, 5 = 5*w - 5. Suppose -z + 2*z = o*j + 456, j = -1. What is the hundreds digit of z?
4
Let f(i) = 123*i**3 + 5*i**2 - 6*i - 11. What is the thousands digit of f(4)?
7
Suppose -30 = k - 36. Suppose -120 = -3*l - u, k*l - 2*l = -2*u + 158. What is the tens digit of l?
4
Suppose 4*l - 48 + 24 = 0. Suppose -l*u = -751 - 689. What is the tens digit of u?
4
Suppose -3*q + 15 = -0*q. Suppose 0 = 2*r - q*r - 15. Let f(h) = -2*h**3 - 5*h**2 + 5*h - 3. What is the units digit of f(r)?
7
Let q(k) = -2*k**2 + 6. Let v be q(4). Let w = v + 31. Suppose 162 = w*g - 128. What is the units digit of g?
8
Let y(i) = -i**3 + 4*i**2 + 6*i - 2. Let n be y(5). Suppose -n*p - 68 = -3*c - 8*p, -p - 76 = -5*c. Suppose c = r - 42. What is the tens digit of r?
5
Let s = -779 + 3039. What is the thousands digit of s?
2
Let x = 16 + -12. Let d(w) = 0*w**3 + x - w**3 + w + w - 5*w. What is the tens digit of d(-3)?
4
Suppose u - 35061 = -4*h, -337*h = -333*h + 2*u - 35058. What is the units digit of h?
6
Let y(q) = q**3 - q**2 + 1. Let v(k) = -4*k**3 + 7*k**2 + 7*k + 3. Let j(p) = -v(p) - 5*y(p). What is the hundreds digit of j(-5)?
1
Let p = 7179 + 2270. What is the thousands digit of p?
9
Let k(i) = 62*i**2 - i - 11. What is the units digit of k(-9)?
0
Suppose 9782 = 2*c + 2*z, -510*z + 506*z - 4901 = -c. What is the hundreds digit of c?
8
Let a be 5 + -4 - (-2)/2. Suppose -248 = -a*z + 3*u + 169, 5*z - u = 1036. What is the units digit of z?
7
Suppose -2*g = 4*g - 2172. Suppose -2*d + 384 = -g. What is the units digit of d?
3
Suppose 3 = f + 6, -2*z - 5*f + 2173 = 0. What is the hundreds digit of z?
0
Let l be -42 + ((-4)/(-14) - 156/(-42)). Let i = -164 - -75. Let u = l - i. What is the tens digit of u?
5
Suppose -l + 3*q = -q + 109, q - 3 = 0. Suppose 2*p + 1 = 5*r + 202, r + 3*p = -47. Let y = r - l. What is the tens digit of y?
5
Let f = 166 - 163. Suppose -f*s + 2*s - d = -83, -5*d - 77 = -s. What is the tens digit of s?
8
Suppose -n = -6*n + 2*n + 26700. What is the hundreds digit of n?
9
Suppose -3*k + p = -8782, 1780*p - 8 = 1782*p. What is the units digit of k?
6
What is the thousands digit of ((-16)/3)/(1*(-4)/6456)?
8
What is the units digit of (-16)/(-112)*-371*(-109 + 0)?
7
What is the units digit of 25776/18 - (-26)/2?
5
Let m be 7/(-56) + (-66)/(-16). Suppose m + 0 = -4*t, -435 = -2*v + 3*t. What is the hundreds digit of v?
2
Let b = -2476 - -3586. What is the units digit of b?
0
Let w(n) = -n**3 - 9*n**2 + 43*n + 9. Suppose 0 = -10*b + 16*b + 84. What is the tens digit of w(b)?
8
Let l = -23 + 45. Suppose 0 = 3*x + l - 31. Suppose 6*r = x*r + 207. What is the units digit of r?
9
Let u = 8 - 3. Let t(i) = -i**2 - 186*i + 5*i**2 - 10 + 190*i - 2*i**2. What is the units digit of t(u)?
0
Let o(j) = -12*j + 32. Let s be o(3). What is the hundreds digit of (314/s)/1*-4?
3
Suppose -72 = 4*d - 12*d. Suppose 0 = -2*g + s + d, s + 1 = -5*g + 6. Suppose -58 = -2*a + 3*c, 3*a + g*c - 5*c - 90 = 0. What is the units digit of a?
2
Let p(b) = b**3 + 5*b**2 - 18*b - 10. Let k be p(-7). What is the units digit of (-12)/k + (-431)/(-3)?
3
Suppose 2*t - 4*l - 1015 = 77, -3*t + 3*l + 1635 = 0. Let a = t - 267. What is the tens digit of a?
7
Suppose -3*k = 2*m - 11684, -5*k + 0 - 20 = 0. What is the units digit of m?
8
What is the tens digit of 2/9 + ((-506562)/(-54) - -1)?
8
Suppose -8*v + 9 + 7 = 0. Suppose -v*p + 626 = 2*r, -p - 3*p - 3*r = -1251. What is the tens digit of p?
1
What is the thousands digit of -11*5/45 - -1 - 72476/(-36)?
2
Let x(d) = d**2 + 5*d + 2. Let g be x(-5). Suppose 4*y = 16, -g*y + 115 = -4*b + 1711. What is the hundreds digit of b?
4
Let n be 1/3 + (-3)/((-9)/4172). Suppose 0 = -3*i + 16*i - n. What is the units digit of i?
7
Let w(j) = -4*j**3 - 8*j**2 + 8*j - 43. What is the units digit of w(-9)?
3
Let y(c) = 200*c**2 - 14*c - 14. Let t be y(-1). Let h = t - 138. What is the units digit of h?
2
Let f(h) = 3*h + 39. Suppose -9*o + 12*o = 0. Let b be f(o). Suppose 10*w - 7*w = b. What is the units digit of w?
3
Let v = 1865 + 289. What is the units digit of v?
4
Let v = 3564 - -1386. What is the tens digit of v?
5
Let b be -43*(1 + (-4)/2). Suppose k + b = 40. What is the units digit of 1*k/9*(2 + -248)?
2
Let a(y) = -45*y**3 - 13*y**2 - 2*y - 15. What is the thousands digit of a(-4)?
2
Let l = 1211 + 4846. What is the tens digit of l?
5
Let r(q) = 349*q - 102. What is the units digit of r(19)?
9
Let p(a) = a**3 + 30*a**2 - 27*a - 34. What is the hundreds digit of p(-11)?
5
Suppose -561*h = -472*h - 204077. What is the tens digit of h?
9
Suppose -68 = -z - 171. What is the tens digit of 3/(3/4)*z/(-4)?
0
Suppose n - 2*v - 4082 = 0, -9*n = -7*n - 3*v - 8167. What is the units digit of n?
8
Let t be 2 + (-1254)/(-15) + 8/20. Let f = t - 3. What is the units digit of f?
3
Let t(g) be the second derivative of 371*g**4/12 - 2*g**3/3 - 3*g**2/2 + 43*g. What is the units digit of t(-1)?
2
Suppose -2*b = -4*y - 13188, -377*b + 373*b = -4*y - 26384. What is the hundreds digit of b?
5
Let p(g) = 3*g**2 - 41*g - 37. Let t be p(27). Suppose -2663 + t = -5*r. What is the hundreds digit of r?
3
Let g be 1/(0 + 1/(-28)). Suppose b + f = -126 + 162, -5*b + 183 = 2*f. Let c = g + b. What is the units digit of c?
9
Let s(z) = 10*z**2 + 27*z + 11. Let q be s(-8). Let h = q + -225. What is the units digit of h?
0
Let s(w) = 87*w**3 + w + 2*w**2 - 3 - 6*w**2 - 5*w**2 + 6*w**2 + 4. Let j = 2 + -1. What is the tens digit of s(j)?
8
Let s = 182 + -134. What is the tens digit of -15*8/(-20) + s?
5
Let f = -92 + 187. Let m = 153 + f. What is the units digit of m?
8
Suppose 3*q + 2 + 7 = 0, 4*v + 3*q + 9 = 0. Suppose v = -3*w + 5*n + 12, 1 = -3*n - 8. What is the tens digit of (2/(-4) - w)*126*1?
6
Let z be -2*((-9)/2 + 2). Let a(q) = -18*q - 57. Let i be a(-3). What is the tens digit of z - i - -4 - -3?
1
Let g(f) = 4 - f**2 + 4 - 7 + 8*f. What is the units digit of g(5)?
6
Let z be -1 + 5131/(-21) - (-4)/(-6). Let s = 457 + z. What is the tens digit of s?
1
Suppose 2*r = 8541 + 3171 + 2174. What is the hundreds digit of r?
9
Suppose -12*s + 17*s - 2760 = 0. Let r = s - 275. What is the units digit of r?
7
Suppose y - v - 1341 = 5259, 6604 = y - 2*v. What is the hundreds digit of y?
5
Let g = 1521 + -905. Suppose -3*w + 2*p = -g, -w + 640 = 2*w + 4*p. What is the tens digit of w?
0
Let s(x) = -x**3 + 10*x**2 - 13*x - 21. Let n be s(8). Let o(z) = 33*z**2 + 7*z + 4. What is the units digit of o(n)?
2
Suppose t = 5*l + 384, 2*t - t + 309 = -4*l. What is the hundreds digit of (-22)/l - 3440/(-14)?
2
Let s(y) = -112 + 83 - y**2 - 2*y + 96. What is the tens digit of s(0)?
6
Let n(z) = 405*z**2 - 4*z - 3. Let y(q) = -4*q**2 - 65*q - 17. Let t be y(-16). What is the units digit of n(t)?
6
Let c = -1272 - -2580. What is the tens digit of c?
0
Let o be (-16)/(-6) + 4/(-6). Suppose 5*b - 25 = 3*a, -4*b + b = o*a - 15. Suppose a - 9 = -f. What is the units digit of f?
9
Let o = -229 - -234. What is the tens digit of o/(-2)*(-2112)/60?
8
Let b = 10 - 8. What is the units digit of 4/(-14) + (-47785)/(-133) - b?
7
Suppose -5*s + 28 = -2*o, -3*o + 8 = s - 1. Suppose -4*n + s*n = 10. What is the units digit of n*(-2)/((-10)/7)?
7
Let k be 9 - 2*(-1 + 3). Suppose 2*f - 43 = 3*n - 18, f + k*n = 32. Suppose f*x - 216 = 13*x. What is the units digit of x?
4
Let r(n) be the second derivative of n**4/12 + n**2/2 - 5*n. Let g(q) = 2*q**2 - 3*q - 11. Let i(b) = -g(b) + 3*r(b). What is the tens digit of i(-7)?
4
Let g(a) be the third derivative of a**7/168 - a**5/40 - 5*a**4/12 - 14*a**2. Let v(h) be the second derivative of g(h). What is the tens digit of v(2)?
5
Suppose -2*u = 23*u - 100. Suppose 5*g = -0*g - u*j + 1714, j + 1734 = 5*g. What is the units digit of g?
6
Suppose 5246 + 1774 = 3*a - 5*t, 0 = -5*a + 2*t + 11681. What is the units digit of a?
5
Let f = 116 + -113. Suppose -f*z = 4*j - 1699, -3*z = -3*j + 776 + 493. What is the units digit of j?
4
Let v = -9114 + 13041. What is the thousands digit of v?
3
Suppose -2*a - 239 = -2*u - u, 10 = 2*a. Suppose 2*i + 2*t - 272 + 336 = 0, -t = 4*i + 125. Let r = u + i. What is the units digit of r?
2
Let k(o) = o**2 + 8*o. Suppose 5*u + 30 = 5*n, -3*n + 2*n = -5*u - 38. Let p be k(u). Suppose p = -2*m + 11 + 9. What is the units digit of m?
0
Let r(c) = c**3 + 4*c**2 - 2*c - 5. Let x be r(-4). Suppose 7*l + 2977 - 3243 = 0. What is the units digit of (-2)/3 + l/x?
2
Let p = 182 + -172. Suppose p*l = 5*l + 5*d + 2310, 5*d - 438 = -l. What is the units digit of l?
8
Let p(f) be the third derivative of -1/120*f**6 - 2*f**2 + 1/4*f**4 + 0*f + 0 - 11/60*f**5 + 29/6*f**3. What is the hundreds digit of p(-12)?
1
Let d(m) = -m + 2. Let t(f) = -48*f - 69. Let u(x) = 12*d(x) + t(x). What is the units digit of u(-7)?
5
Suppose -5*g - 1 = w + 3, -w + 5*g = -26. Let f = w - 34. Let s = -5 - f. What is the units digit of s?
8
Let h(q) = -3384*q - 61. What is the hundreds digit of h(-2)?
7
Suppose 0 = 3*o - 5*v - 10, -2*v - 3*v = 3*o - 50. Suppose 17*p - o*p = 133. What is the units digit of p?
9
Suppose -19278 + 56293 = 4*c - 5*t, 2*t - 37050 = -4*c. What is the units digit of c?
0
Let o(v) = 169*v + 2. Let t = 31 - 26. Let j be o(t). Suppose -7*c = 4*c - j. What is the units digit of c?
7
Suppose -1048 = -2*p - 2*p. Suppose 2*q = 952 - p. What is the hundreds digit of q?
3
Let t(w) = -w**2 + 6*w - 7. Let d be t(5). Let f be 5/10*d - 1. What is the tens digit of f/(-5) - (-1188)/30?
4
Let y be 13/2*(3 + 5)/4. Suppose 4*p + 21 = y. What is the tens digit of 130*2/p*11/(-22)?
6
Let t = 219 - 131. Let m(r) = -5*r**3 - 2*r**2 - 2*r - 1. Let g be m(-1). Suppose -l - 181 = -3*l - 3*j, l - t = -g*j. What is the tens digit of l?
9
Let i = 225 + -215. Let o(v) = v**3 - 8*v**2 - 14*v + 23. What is the units digit of o(i)?
3
What is the hundreds digit of 19465/34*32/20?
9
Let h be 3 - ((-8 - -6) + (2 - 0)). Suppose -2*s = -5*g + 162, -h*g = s - 3*s - 94. What is the tens digit of g?
3
Let x(l) = 48 - 113*l - 32 + 50 + 94*l. What is the tens digit of x(-4)?
4
Let d(v) = 3*v - 59. Let x be d(17). Let z(l) = l**3 + 14*l**2 + 5*l + 12. What is the hundreds digit of z(x)?
3
Suppose 4*i - 44 = -4*d, -d + 1 + 1 = 0. Suppose -193 + 3631 = i*p. What is the units digit of p?
2
Let n = -1202 - -1250. What is the units digit of n?
8
What is the thousands digit of ((-124)/(-124))/(1/4955)?
4
Let z be 3*12/18*(-1)/(-2). Let g(x) = x**3 - x - 1. Let m(i) = i**3 + 12*i**2 - 18*i + 9. Let r(t) = z*m(t) - 2*g(t). What is the tens digit of r(10)?
5
Let v(t) = 2*t**2 + 12*t + 41. Let i be v(31). Suppose 0 = 2*w + 5*x - 787, -350 = 5*w - 5*x - i. What is the tens digit of w?
9
Let x(s) be the third derivative of s**6/72 - s**5/30 - 7*s**3/3 - 4*s**2. Let i(k) be the first derivative of x(k). What is the tens digit of i(4)?
6
Let d(a) = 10 - 22 - a + 6*a**2 - 2*a**2 + 7 + 2. Suppose -4*g - 5*p = -29 - 16, -3*p + 25 = 2*g. What is the units digit of d(g)?
2
Let t(s) = s**2 + 20*s - 9. Let q be t(-21). Suppose 0 = 5*h + 2*x - 195, 2*h + q*x - 14*x = 64. What is the tens digit of h?
3
Suppose 184*z - 48*z = 445762 + 444766. What is the thousands digit of z?
6
What is the units digit of (-4 - -7)*2186/(-4)*42/(-9)?
1
Suppose 0 = 4*t + 5*y - 864 + 132, -4*t + 3*y = -764. Suppose -3*z - 161 = -s - s, -4*s - t = 4*z. Let j = z + 86. What is the tens digit of j?
3
Let u be 1/(-5)*(2 + -27). Suppose 0*r - 4*v = -u*r + 88, 106 = 5*r + 2*v. Let j = r - -17. What is the tens digit of j?
3
What is the units digit of (37 + -4)*24 - (1 - -4 - 8)?
5
Let t(v) = 9*v + 5. Let w(i) = 36*i + 21. Let p(d) = -21*t(d) + 5*w(d). Suppose -20 = 2*a + 2*r, 0 = 5*a - 2*r + 43. What is the tens digit of p(a)?
8
Let w(p) = p**2 - 6*p - 77. Let n be w(12). Let l(r) = -17*r - 24. Let x(f) = 69*f + 97. Let g(o) = 9*l(o) + 2*x(o). What is the tens digit of g(n)?
5
Let j(q) = -q - 1 + 2 - q**3 - q**3 + q**2 + 3*q**3. Let p be j(0). What is the tens digit of -1 + (p*138)/2?
6
Suppose -2*k - 51238 = -15*k + 43337. What is the units digit of k?
5
Suppose -171 = -2*b + 1057. Suppose 0 = 3*f - 727 - b. What is the units digit of f?
7
Let m(f) = 10*f**2 - 3*f - 2. Suppose 2*d - 8 = -2*d. Suppose d*l = -5*x + 5, 0 = x - l + 8 - 2. What is the tens digit of m(x)?
1
What is the thousands digit of 16902/2 - (161/23 + -7)?
8
Suppose -3*t + 1 + 32 = 3*k, 3*k = 3*t + 3. Let l = k - 2. Suppose l*y - 205 = -9. What is the tens digit of y?
4
Let k(s) = -6*s**3 - 2*s**2 - 2*s - 1. Let w be k(-1). Suppose 139 = 3*n - 5*x, -26 + 127 = 2*n - w*x. Suppose 9*y + n = 11*y. What is the tens digit of y?
1
Suppose -4*i + 1125 = -3*j, -3*i + 840 = -2*j - j. Let q = i - 194. What is the tens digit of q?
9
Let m = 3171 - 2112. What is the thousands digit of m?
1
Suppose 59 = 5*k + 10*u - 12*u, u = 5*k - 62. Suppose -k*i + 4*i + 2385 = 0. What is the hundreds digit of i?
2
Suppose -3*t + 0 + 51 = 0. Suppose -5 = -v + t. Let l = 23 + v. What is the tens digit of l?
4
Suppose -53*b + 47*b = -72. Suppose 4*d = -5*z + 226, z = -2*d - 3*d + 272. Let c = d - b. What is the units digit of c?
2
What is the thousands digit of (6680 - -15) + 16/(4/(-2))?
6
Suppose -4*p + 56909 - 20980 = 5*s, p - 43130 = -6*s. What is the hundreds digit of s?
1
Suppose -5*g + 25658 = 3*t, 0 = -4*t - g + 3999 + 30223. What is the units digit of t?
6
Suppose 3*z + 3*p = 12, -16 = -5*z + 4*p + 22. Suppose -w = 3 - z. Suppose -w*b = -212 - 10. What is the tens digit of b?
7
Let n = -1786 - -3654. Suppose -15*v = -n - 652. What is the tens digit of v?
6
Let l be (-191)/(1/(-10)*-2). Let p = -532 - l. What is the hundreds digit of p?
4
Suppose -93814 - 66343 = -17*o. What is the thousands digit of o?
9
Suppose 0 = 41*n - 29*n - 672. Suppose 6 = -2*m, 7*k + 2*m = 9*k - n. What is the units digit of k?
5
Suppose 0 = 3*o + 728 + 826. What is the tens digit of ((-14)/(-7))/(7/(o/(-4)))?
3
Let c(u) = u**3 + 17*u**2 - 7*u + 32. Let g be c(-18). What is the units digit of -3 + (3 - g) - 6?
0
Suppose -6*g = -9*g + k + 8461, 4*k + 11276 = 4*g. Suppose -15*l + 8*l = -g. What is the units digit of l?
3
Let u(q) = -20*q**2 - 8*q + 19. Let f be u(3). Let o = -181 - f. What is the units digit of o?
4
Suppose 0 = -8*l + 13*l - 4240. Suppose 272*b - 270*b = l. What is the units digit of b?
4
Suppose 2*d - 5*k - 1672 = 0, 3*k + 4213 = 5*d + 7*k. Suppose 6*z + d = -161. What is the tens digit of 2/(-5) + z/(-5)?
3
Suppose 0 = 3*r - q - 18659, -12458 = -2*r - 12*q + 8*q. What is the thousands digit of r?
6
Suppose d - 5*d - 15914 = -3*a, -4*a + 21220 = -4*d. What is the tens digit of a?
0
Suppose 489744 = 21*a + 36*a. What is the hundreds digit of a?
5
Suppose -4*c + 14 = -2*k, 5*c - 2*k - 8 = 8. Suppose -4*w + 522 = -2*w - c*x, -5*x = 3*w - 807. What is the hundreds digit of w?
2
Let w(y) = 13*y**2 - 2*y - 1. Let f be w(-1). What is the hundreds digit of (46 - f)/((-2)/(-27))?
4
Let a = 13 - -5. Let h be ((-404)/(-6))/(a/(-27)). Let f = h - -183. What is the tens digit of f?
8
Let x(q) be the first derivative of 71*q**3 + q - 51. What is the units digit of x(-1)?
4
Suppose -3*i + 60 + 232 = -4*t, 3*t - 3*i + 222 = 0. Let k be (-196)/(-35) + -6 + 708/(-5). Let g = t - k. What is the units digit of g?
2
Let j(y) = 142*y**2 - 6*y + 25. What is the tens digit of j(6)?
0
Let p = -4 + 9. Suppose 5*g + p*z + 7 = 22, -5*g = 4*z - 14. Suppose -118 = -g*u + 62. What is the tens digit of u?
9
Let g = -16809 + 24722. What is the units digit of g?
3
Let d = -1207 - -3299. What is the tens digit of d?
9
What is the tens digit of 22 + 3822 + -2 + 5?
4
Suppose 13*v - 72 = 123. Let i(n) = n**3 - 17*n**2 + 33*n - 12. What is the units digit of i(v)?
3
Let y be ((-42)/5)/((-42)/1120). Suppose -2*k + 6*k = y. Suppose -3*m + 2*o + 60 = 0, k = 3*m + 4*o - 22. What is the units digit of m?
2
What is the units digit of 3 + (-1)/(-6 + (-45731)/(-7623))?
2
What is the thousands digit of 3*147055/45 - 1/(-3)?
9
Suppose -3*s + 4 + 5 = 0. Suppose 5*c = 10, 3*u = c - s*c + 13. Suppose 2*b - t = 124, 4*b - 311 = -b + u*t. What is the units digit of b?
1
Let d(u) = -17*u**3 - 1. Let p be d(-1). Suppose -23 + 6 = -5*s + m, s - p = -4*m. Suppose s*c - 1 - 19 = 0, 239 = 4*f - c. What is the tens digit of f?
6
Suppose -4*m + 22306 = -6*v + 9*v, -22298 = -3*v + 4*m. What is the thousands digit of v?
7
Let o = 6931 - 522. What is the thousands digit of o?
6
Let u = -182 - -178. What is the tens digit of (-24 + 33)/((u/(-14))/2)?
6
Suppose 20*o + 2*p - 39926 = 16*o, 7*p = -3*o + 29961. What is the tens digit of o?
8
Suppose 0 = -2*s - x + 2, -3*s + 5*x = -12 - 17. Let p = -2 - -131. Suppose -g + 187 = 3*n, -s*g + p = 2*n + 2*g. What is the units digit of n?
2
Let w(z) = 5*z**2 + 39*z - 45. What is the hundreds digit of w(31)?
9
Suppose -3*f - 2*d + 2 = -d, -5*f - d + 2 = 0. Suppose 6*z - 1716 + 30 = f. What is the units digit of z?
1
Suppose n = -4*y + 20352, -y + 5097 = n - 3*n. What is the units digit of y?
9
Suppose 34*v - 36 = 38*v. Let y(q) = -42*q + 52. What is the hundreds digit of y(v)?
4
Suppose 3*g = d - 6595, -83*g + 33007 = 5*d - 82*g. What is the tens digit of d?
0
Let f(v) = v + 8. Let q be f(-3). Suppose q*n = 4*w + 10*n - 154, -5*w + 5*n = -170. What is the tens digit of w?
3
Let q(i) = 3*i + 31. Let g be q(-9). Suppose z - 29 = -z + 5*o, -g*z = -o - 13. What is the units digit of -22*(18/(-4) + z)?
5
Let h be (3*(-5)/(-20))/((-2)/(-8)). Suppose h*l + 2 = 2*l. What is the units digit of 27/l*(-4)/(-7)*-7?
4
What is the tens digit of 5*(-113)/(-20)*(234 + -2)?
5
Suppose 0 = 37*i - 41*i + 16. Suppose 0 = -i*o + 4, 0*o = 5*q + 4*o - 1344. What is the units digit of q?
8
Let l(f) = 77 + f + 4334*f**2 - 9*f - 4333*f**2. What is the units digit of l(18)?
7
Suppose -9*u - 3 = -6*u. Let q be (-670)/(-15) + u/(-3). Suppose 2*t + q = 5*t. What is the tens digit of t?
1
Suppose -5*f + 300 = 2*a - 176, -4*f + 379 = a. Suppose -g + 1344 = 5*y, -4*y + 2*g + 1172 = f. What is the units digit of y?
9
What is the hundreds digit of 107857/37 + (-182)/3367?
9
Let t be 1/3 + 55/15. Let d be (2/t)/((-2)/64). Let i = 18 - d. What is the units digit of i?
4
Let m be -3 - 3/(3/(-5)). Suppose 4*w - 4 = m*l, 2*l - 4*l - 2*w = -2. What is the tens digit of 3*((-66)/(-9) + l)?
2
Let r(z) = -3*z + 3713. What is the units digit of r(0)?
3
Let k = -840 - -6571. What is the tens digit of k?
3
Let n = -13041 - -19587. What is the tens digit of n?
4
Suppose -2*s - 2*n + 17 - 3 = 0, 0 = s - 4*n + 13. What is the hundreds digit of (s + 72/(-30))*635?
3
Let w(b) = -180*b + 140. What is the hundreds digit of w(-40)?
3
Suppose -13*r - 9687 = -18*r - 4*t, 0 = 3*r - t - 5802. What is the hundreds digit of r?
9
Suppose 10659 = 4*q - 5*i, -45*i + 46*i = 5. What is the units digit of q?
1
Let w = -6 + 77. Let v = w + -51. Suppose 6*f = f + v. What is the units digit of f?
4
Let d be (-10)/((-3)/((-6)/(-4) - 3)). Let l = d + 2. What is the tens digit of 3/l - 2 - -34?
3
Suppose 4*b + 5*u - 22074 = 0, 5*b = -2*u + 22632 + 4969. What is the hundreds digit of b?
5
Suppose 0 = a + 3*a + 5*s - 69, -93 = -4*a + 3*s. Suppose 126 + a = 3*d. Suppose 0 = 4*r + d - 285. What is the tens digit of r?
5
Suppose 7*m - 37067 - 40960 = -9602. What is the units digit of m?
5
What is the thousands digit of 1/19 - 4365816/(-798)?
5
What is the thousands digit of (5749264/(-119))/(-16) + (0 - 4/7)?
3
Let m(o) = 3*o**2 + 5*o + 53. Let u be m(-17). Suppose -u - 560 = -5*q. What is the units digit of q?
9
Let d = -96 + 57. Let f(m) = -m**3 + 11*m**2 - 18*m - 3. Let s be f(9). What is the units digit of (-2)/s + (-2158)/d?
6
Let v(d) = -14*d - 37. Let w be v(-3). Suppose 4*x + w*n = 850, -11*x + 655 = -8*x - 5*n. What is the tens digit of x?
1
Let y(g) = 261*g - 2. Let b(f) = 87*f - 1. Let n(j) = -7*b(j) + 2*y(j). Let o = 147 - 148. What is the tens digit of n(o)?
9
Suppose -102479 - 32903 = -27*r + 13550. What is the tens digit of r?
1
Let b = -4758 + 9328. What is the thousands digit of b?
4
Suppose -7*l - 5 = -2*l, 3*n + 4*l - 10823 = 0. What is the thousands digit of n?
3
Let r(j) = 8*j + 3. Suppose 4*q + 3*v + 8 = 7*v, 5*q + 4*v - 8 = 0. Let g(h) = h**3 + h**2 + 2*h + 6. Let c be g(q). What is the tens digit of r(c)?
5
Let i(c) = -10*c + 4*c + 9 + 573*c**2 - 563*c**2. Suppose 0 = o - 1 - 2. What is the units digit of i(o)?
1
Let y(s) = 6*s**2 + 5*s - 1. Suppose -3*d - 6 = -3*r - d, -3*d = 5*r - 29. Suppose -2*m + 10 = m + r*v, 2 = m + v. What is the tens digit of y(m)?
1
Let a be 4/(-6)*315/(-10). Suppose a*o = 26*o + 40. Let i = 29 + o. What is the tens digit of i?
2
Let j(g) = 32 - 9*g - 2*g**2 + 23*g**2 - 3*g**2 - 4*g**2. What is the hundreds digit of j(4)?
2
Let i be 1 + (-6)/(-6 + 4). Let q(m) = 3*m**2 + 4*m + 3. Let w be q(i). Suppose 0 = -2*x - 4*z + 142, -5*x + 5*z + w + 333 = 0. What is the units digit of x?
7
Suppose 17422 = -9*c + 58921. What is the hundreds digit of c?
6
Suppose 4*g - 34 = 2*u, -27*u = 4*g - 26*u - 31. Let c(a) = 2*a**2 + 7*a + 37. What is the units digit of c(g)?
1
Suppose -2*z + 12 = z + 4*f, -4*z + 5*f - 15 = 0. Let v(m) = 12*m**3 + 2 + 223*m**2 - 2*m - 224*m**2 + z*m. What is the units digit of v(2)?
0
Let l = -647 - -1234. What is the hundreds digit of l?
5
Let d(i) = i + 8. Let n = -17 + 22. Let f be n + (4 - 2 - 4). What is the units digit of d(f)?
1
Suppose 2*l - 2 - 10 = 0. Suppose 11*y - l*y = 30. What is the units digit of y?
6
Let a(p) = -2*p**2 - 7*p - 1. Let v be a(-5). What is the units digit of (-26)/208 + (-4786)/v?
9
Let l(z) = 22*z - 155. Let q be l(11). Let c = -142 - -91. Let d = q + c. What is the units digit of d?
6
Suppose 0 = -5*c + 20, -2*i - 3*c = 196 + 228. What is the hundreds digit of 5 - (3 + i + -3)?
2
Let u = -1884 + 2653. What is the hundreds digit of u?
7
Let j be (24/20)/((-4)/(-20)). Suppose -3 = j*f - 9. Suppose -4*l - 5 + f = 0, -4*w + 65 = -5*l. What is the units digit of w?
5
Let a(t) = 2*t**3 + 2*t**2 - 8*t + 1. Suppose 0 = -5*d + 4*h + 10, 5*h - 18 = -5*d + 37. What is the hundreds digit of a(d)?
4
Suppose 28*l - 15504 + 104 = 0. What is the hundreds digit of l?
5
Suppose 3*v + 938 = 2*m - 2598, -8 = 2*v. What is the tens digit of m?
6
What is the thousands digit of ((-228)/342)/((-2)/10284*(-2)/(-4))?
6
Suppose 3*f + 4*b = -1, -f - 5*b - 8 = -4*f. Let r be 3 + (f - -8) + (1 - 1). Suppose 8*i - r*i + 368 = 0. What is the tens digit of i?
9
Let u(o) = 2756*o + 68. What is the units digit of u(1)?
4
Suppose -2*j + 5*g = -6*j + 3228, -3*j = -3*g - 2448. Suppose -j = -z - 3*z. Suppose 3*u = -65 + z. What is the units digit of u?
6
Suppose -12 = -4*h - 24. What is the tens digit of -21*h/(-2)*532/(-63)?
6
Suppose 8*g - 15 - 17 = 0. Suppose 0 = 5*s + 3*m + 945, -g*m = -0*m + 20. What is the tens digit of ((-4)/((-32)/s))/(2/(-8))?
9
Let r(k) = 2*k**2 - 23*k + 12. Let h be r(9). Let j = h - -33. What is the tens digit of 100 + 1 + j/(-4) + -1?
0
Let l(x) = x**2 + 8*x - 22. Let r be l(-10). Let u = r - -6. Suppose -388 = -z - 3*z - 4*s, 188 = 2*z + u*s. What is the hundreds digit of z?
1
Suppose -c + 6*c = 10. Let r be ((-416)/((-8)/c))/2. Let x = 43 + r. What is the units digit of x?
5
Let x be 15/(-2)*6/(-9). Suppose -x*n + 2*p + 1004 = 0, 3*n - 3*p - 644 + 38 = 0. Suppose -3*j = 5*h - n, 0*h + 64 = j - h. What is the units digit of j?
5
Suppose -2*v = z + 77, 5*z + 5*v = -39 - 341. Let g = z + 497. What is the units digit of g?
2
What is the units digit of -13 - (-15 + -3) - -2415?
0
Suppose 3*w - 31 = -w + 5*l, 5*l = 5*w - 35. Suppose 3*j = 18 - 3. Suppose 3*g - j*d + 4 = w*g, 3*g - 5*d - 12 = 0. What is the units digit of g?
4
Let t be (-3952)/(-12) + 2/3. Suppose 4*y = 3*o - 43, 2*o + 3*y - 1 = 5. Suppose 3*f = o + 6, 5*j = -f + t. What is the units digit of j?
5
Let t(p) = p**3 - 3*p**2 - 8*p + 33. Let a be t(4). Suppose -a*r = -23*r + 162. What is the tens digit of r?
2
What is the units digit of (-11 + -2711)/(-2*(-1)/(-3))?
3
Let y(u) = -5*u + 41. Let n be y(7). Suppose -398 = 4*g - n*g. What is the units digit of g?
9
Suppose 7996 = i + 5*t, 3*t = 2*t - 3. What is the hundreds digit of i?
0
Let t(z) = 15*z + 53. Let h be (5 + 155/(-25))*-5. What is the hundreds digit of t(h)?
1
Let v = 256 + 111. Let t = 805 - v. What is the hundreds digit of t?
4
Suppose -27378 = 421*j - 424*j. What is the tens digit of j?
2
Suppose -30*f = -5*b - 35*f + 31345, 2*b + 4*f = 12532. What is the hundreds digit of b?
2
What is the tens digit of (-444360)/70*(-3)/3?
4
Suppose 5*f - 16 + 6 = 0, -5*t = -4*f - 492. Suppose 2*k = 2*a - t, -7*a + 122 = -4*a + 4*k. What is the units digit of a?
6
What is the hundreds digit of 1/((2 - 194072/21564) + 7)?
3
Suppose 7*f - 41 - 29 = 0. Suppose 4*t = p - 22, 2*p - 4*t - f = 14. Suppose 310 = 5*a + 5*w, 3*a - p*w - 11 = 155. What is the tens digit of a?
5
Suppose -2903 = -10*g + 33903 + 55144. What is the thousands digit of g?
9
Suppose 5*s = 754 + 371. Let f be 12/(-5)*s/6. Let g = f - -127. What is the tens digit of g?
3
Suppose -1113 = 275*u - 278*u. Suppose 0 = 5*m + 56 - u. What is the units digit of m?
3
Suppose -56052 = 156*j - 174*j. What is the hundreds digit of j?
1
Let i = -5798 + 9821. What is the units digit of i?
3
Let w(i) = -i**2 - 14*i + 41. Let v be w(-17). Let y be (-7)/(-4)*(v + 6). What is the tens digit of (-681)/y - (-2)/(-7)?
9
Let s(n) be the first derivative of -21*n**4 - n**2/2 - n + 2. Suppose 3*g - 4*d = 9, 0 = 3*g + 3*d + 11 + 1. What is the units digit of s(g)?
4
Let y be (2/(-6))/(1/9). Let v be 3*(y/(-9) - (1 + -3)). Suppose -v*n = -124 - 37. What is the tens digit of n?
2
Let a be 18/189*6 - 1338/14. Let t = 56 - a. What is the tens digit of t?
5
Let r = -111 + 9292. What is the tens digit of r?
8
Suppose -u + 5*j = -25, -2*u + 3*j + 65 = 8*j. Let g = 416 + u. What is the tens digit of g?
4
Let o(y) be the second derivative of 7*y**3 + 71*y**2/2 + 56*y + 1. What is the units digit of o(5)?
1
Suppose 0 = -c - 5*r - 611, c + 3*r + 531 = -88. Let u = -181 - c. What is the hundreds digit of u?
4
What is the thousands digit of (1 - (4 - 2))*-2065 + (53 - 52)?
2
Let b(x) = -214*x - 1878. What is the hundreds digit of b(-18)?
9
Suppose -2*a + r + 2*r = 175, -r = -4*a - 345. What is the tens digit of a/(1/2 - (-11)/(-14))?
0
Suppose 0 = 25*r - 19*r - 14040. What is the units digit of 20/3*5/(250/r)?
2
Suppose 25*p - 21*p - r = 35362, 3*r - 6 = 0. What is the tens digit of p?
4
What is the tens digit of 8/(-12)*-8321 - (-8)/12?
4
Let v = 15966 - 7666. What is the units digit of v?
0
Let a = 122 - 118. Suppose 4*d + n + 2*n = 773, 0 = a*d + n - 783. What is the units digit of d?
7
What is the thousands digit of ((-1816)/40)/(10/(-1850))?
8
Let s be (1 - 2)/((-4)/252). Suppose -5*v = -q - 61, 0 = -4*v + 3 + 13. Let u = q + s. What is the tens digit of u?
2
Let s(x) = -x**2 - 37*x + 9. Let l be s(-37). What is the tens digit of (52/(-6) - 4)*l/(-2)?
5
Suppose -5*c + 31220 = -0*c. What is the units digit of (0 - 1)/(c/694 + -9)?
7
Suppose -4*z + 2004 = 5*p, z - 231 = 5*p + 295. Let n = z - 353. What is the units digit of n?
3
Let x(q) = -6*q**2 - 59*q - 44. Let a(y) = 4*y**2 - 2. Let p be a(1). Let u(r) = r**2 + 12*r + 9. Let j(c) = p*x(c) + 11*u(c). What is the units digit of j(12)?
5
Let m(b) = 2*b**2 - 9*b - 10. Let y be m(6). Suppose -12*x = -y*x - 544. What is the units digit of x?
6
Suppose -19*f = -7*f + 48. What is the units digit of (-1321)/f + (-15)/12?
9
Suppose 3*r = 4*x + 2024, 2*x + 2036 = 3*r + x. Let y = r + -421. What is the units digit of y?
9
Let f = 131 + -99. Suppose 5*b - 4*t = 834, -b - f = t - 197. What is the hundreds digit of b?
1
Let s = 23928 - 15245. What is the tens digit of s?
8
Suppose 16026 = -15*t + 19*t + 2*n, 4*t - 9*n = 16037. What is the hundreds digit of t?
0
Let x be ((-3)/(-2) + -1 + 0)*6. Suppose -x*k = k - 8. Suppose -k*v - 2*v = -4, 2*v - 92 = -2*w. What is the units digit of w?
5
Suppose 41 = 9*p + 311. Let y be (1 - 42/(-18))*p/(-2). Suppose q - 4*c - 58 = 0, -y = -2*q + c + 94. What is the tens digit of q?
7
Let q be (-83622)/(-88) - (-1)/(-4). Let z = -503 + q. What is the hundreds digit of z?
4
Suppose -11*p + 140 = 3*p. Let z(b) = b**2 + 6*b + 7. What is the hundreds digit of z(p)?
1
Suppose -2*s + 16 + 8 = 0. Suppose 0 = -7*z + 3*z + s, 4*h = -z + 375. What is the units digit of h?
3
Let n be (-76)/5 + (-3)/(-15). Let o be -2 - -2*n/(-10). What is the units digit of o - 5 - -3 - -48?
7
Let w be 27/36 + 326/(-8). Let g = -22 - w. What is the units digit of (g/4)/(6/60)?
5
Let c = 95 - 3. Let z be (-1 - -78)/((-3)/(-6)). Let m = z - c. What is the tens digit of m?
6
Let l(d) = 76*d + 4. Let h be (4 - 88/12)/(2/(-3)). What is the tens digit of l(h)?
8
What is the hundreds digit of ((-16497)/36)/(-3 - 280/(-96))?
4
Let u be -4 + (-188)/8*-6. Suppose 8*a = u + 527. What is the units digit of a?
3
Let g be (-209)/(-3) + 4/(-6). Let o = -125 - -124. Let d = o + g. What is the tens digit of d?
6
Suppose 49*c - 93345 = 2*c - 2*c. What is the hundreds digit of c?
9
Suppose c - 3373 = -g, 4*g - 6738 = 27*c - 29*c. What is the units digit of c?
7
Suppose -34 = 2*h - 40. What is the units digit of ((-46)/h)/(9/(-108))?
4
Let u = 167 + -192. Let x(z) = -z**3 - 23*z**2 + 32*z - 14. What is the tens digit of x(u)?
3
Suppose -287391 = -23*z - 16*z. What is the units digit of z?
9
Let h(r) = -r**3 + 4*r**2 + 5*r - 2. Let t be h(5). Let m = 114 - t. What is the tens digit of m?
1
What is the thousands digit of (-1 - (-180)/10)/(1/236)?
4
What is the thousands digit of (-2 - (-14726)/5)/(42/105)?
7
Let d(r) = r**3 + 6*r**2 - 8*r - 13. Let t be d(-7). Let k = 1 - t. Let y = 31 - k. What is the units digit of y?
4
Let g(s) = s - 25. Let m be g(15). Let d be 0/2*(-6 - m)/(-4). What is the tens digit of 22 - (0 - (d - 1))?
2
Suppose -2*p - 12 - 4 = -4*t, 0 = t + 4*p - 13. Let q be (5 + 0)/t*-2. What is the units digit of (-1 - q) + 75 + -4?
2
Suppose 2*q = -u + 19213 - 4722, 0 = 5*u - 25. What is the units digit of q?
3
Suppose r + 5 = 0, -3*i + 4*r + 66 + 110 = 0. Suppose -3*w - i = -106. What is the tens digit of w?
1
Let d(q) = -146*q + 448. What is the tens digit of d(-30)?
2
Let p = -24 + 26. Let b(u) = 3*u**3 - 4*u**p - 4*u**3 + 0*u**3 + 4 - 6*u. What is the tens digit of b(-5)?
5
Let k be 21*(-3)/((-6)/(-10)) + 1. Let j = 116 + k. What is the tens digit of j?
1
Suppose -5*j + 3*k + 34 = 0, -3*k - 5 = j - 1. Suppose -j*v = -1048 + 43. What is the hundreds digit of v?
2
Suppose 0 = 2*c - 237 - 7. Suppose -9*u + 373 = -c. Suppose 0 = -4*v + s + 333, v - u = -4*s + 24. What is the units digit of v?
3
Let u(x) = x**3 + 5*x**2 - 8*x - 10. Let y be u(-6). Suppose 0 = -4*o + c + 1559, y*c + 787 = 5*o - 1161. What is the units digit of o?
0
Let r(w) = w**3 - 5*w**2 + 5*w - 8. Let i be r(4). Let p be (3 + i)*(-762)/(-6). Let s = p - -222. What is the units digit of s?
5
Suppose -3 = -p - 5, p + 3042 = u. Suppose -u = w - 9*w. What is the units digit of w?
0
Let a(j) = 1148 + 3*j + 19*j**2 + j**3 - 4*j**2 - 1163. What is the tens digit of a(-14)?
3
Suppose 209*l - 204*l = 10. Let z(c) = 43*c**2 - 6*c + 5. What is the tens digit of z(l)?
6
Suppose -2*v - 5*z - 406 + 60 = 0, 5*z = 4*v + 752. Let h = v - -550. What is the tens digit of h?
6
Let t be (-3)/(1 - 52/40). Suppose t*f = 5*f. Suppose 5*w = -0*y + 2*y + 28, f = -5*w - 2*y + 32. What is the units digit of w?
6
Let d be 105588/(-30) + (-15)/(-25). What is the hundreds digit of (d/15)/(-1) - 16/(-40)?
2
Let k(a) = -5*a**3 + 4*a**2 + 32*a + 266. What is the thousands digit of k(-7)?
1
Suppose -44*t + 32945 = 82*t - 26653. What is the tens digit of t?
7
Let t(r) = 21*r**2 + 2*r + 7. Let n(o) = -64*o**2 - 5*o - 22. Let f(b) = -4*n(b) - 11*t(b). What is the hundreds digit of f(3)?
2
Let v = 1547 - 1067. Suppose 5*a + 10 = 0, 2*f + 0*a + 3*a + v = 0. What is the tens digit of 2 - f/12 - (-2)/8?
2
Let t = -132 - -1850. What is the tens digit of t?
1
Suppose -29*u = 4*u + 4*u - 347356. What is the tens digit of u?
8
Suppose -a + 4*a + 15 = 0, -4*z + 2*a = -18. Suppose z*q = q - 4*c - 61, -5*q = -2*c + 349. What is the tens digit of 3/(-1) - (q - -3)?
6
Let o(d) = 89*d**2 + 44*d - 240. What is the hundreds digit of o(7)?
4
Suppose -13 = -5*n + 37. Suppose -72 = 4*y - n*y. Suppose -114 = -18*w + y*w. What is the units digit of w?
9
Let p(t) = 13*t**2 - 4*t. Let o be p(3). Let q be ((-3)/(o/10))/((-1)/14). Suppose 2*g - l - 111 = 59, q*g - 3*l - 340 = 0. What is the tens digit of g?
8
Suppose 615 = 2*f - 121. Let p = f + -186. What is the hundreds digit of p?
1
Let s be (-2 - 10)/(39/(-36) + 1). Suppose -14*i + 13*i = -s. What is the hundreds digit of i?
1
Let n = -3210 - -6332. What is the thousands digit of n?
3
Suppose 3*g - 25256 = -3*h - 4517, -4*h = 2*g - 27654. What is the hundreds digit of h?
9
Suppose -8*j - 621 = -27090 - 46203. What is the units digit of j?
4
What is the tens digit of ((-61545)/(-60))/(2/8)?
0
Let k = 3369 - 957. Suppose -10*m = -4*m - k. What is the tens digit of m?
0
Suppose 21*c - 4570 + 3489 = 4799. What is the hundreds digit of c?
2
Let f(y) = 130*y + 2. Let b be f(-1). Let p = -226 - b. Let h = p + 182. What is the tens digit of h?
8
Let j(p) be the third derivative of 5*p**4/3 - 9*p**3/2 + 6*p**2 + 3. What is the units digit of j(10)?
3
Suppose 26*b + 69 = 29*b. Let z = b + 9. Let v = -2 + z. What is the tens digit of v?
3
Let r(i) = 7*i + 19. Suppose -4*y - u = -611, 2*y - 2*u = 195 + 113. Let s be 34/y - (-70)/9. What is the tens digit of r(s)?
7
Suppose 5*s + 40 = 4*d, 0*s - 3*d + 11 = s. Let i(q) = -28*q + 5. Let j be i(s). Let r = j + -81. What is the units digit of r?
6
Suppose a = 5*j + 3, j = 2*a + a + 5. Let q(s) = -453*s**3 - s**2 + 2*s + 2. What is the hundreds digit of q(j)?
4
Let x(o) = -o**3 + 8*o**2 - 5*o - 12. Let v be x(7). Suppose 14 = -v*b - 2*c, 2*c - 4 = -5*b + 6*b. Let l = b + 57. What is the units digit of l?
1
Suppose 4*d = 2*d - k + 328, 5*k = 2*d - 304. What is the tens digit of (-158)/((-9)/(d/12))?
3
Let z(k) = k + 6. Let n be z(0). Let j be n/(-27)*-3*111. Suppose 2*m - 2 - j = 0. What is the tens digit of m?
3
Let l = -1547 - -1693. What is the tens digit of l?
4
Let d(t) = t**3 - 6*t**2 - 5*t - 4. Let o be d(6). Let b = o + 39. What is the units digit of b/(-5)*(-1*2 - 45)?
7
Let c(w) = -4*w + 3. Suppose 5*g + g = 2*g. Let k be c(g). Suppose -k*i + 0*o + 234 = -5*o, -5*o = -2*i + 161. What is the tens digit of i?
7
Let d = -89 - -106. Suppose d*b = 10*b + 252. What is the tens digit of b?
3
Suppose -24 = 5*b + 581. Let u be 1 + (b/(-44) - (-3)/(-4)). Suppose u*k = -0*k + 156. What is the units digit of k?
2
Suppose 4*r - 6174 = 8670. What is the tens digit of r?
1
Let k(b) = -b**2 - 2*b + 29. Let d be k(4). Let s(c) = 8*c**2 + 3*c + 12. What is the hundreds digit of s(d)?
2
Let g(x) = 4*x**2 - 3*x - 5. Let z be g(-4). Let j = -124 + z. Let l = j - -92. What is the units digit of l?
9
Suppose -r = 2*r + 2859. Let n = 243 + r. What is the tens digit of (n/(-40))/(2/8)?
7
What is the thousands digit of (2269/4)/((-3)/12*3 - -1)?
2
Let h be (-4)/(-5)*(-1 + (-7)/(-2)). Suppose -451 = -h*f - p, 4*f - 674 = f + p. What is the hundreds digit of f?
2
Let h = -3988 + 6951. What is the hundreds digit of h?
9
Let i(t) = -17*t**2 + 2*t + 27. Let q be i(-4). Let l = q + 372. What is the hundreds digit of l?
1
Suppose -5*z - 4*g + 7 = -2*g, -z - 5*g - 17 = 0. Suppose -z = -b + 4. Suppose -211 = -b*u + 90. What is the tens digit of u?
4
Suppose p = 2*p + 2, 4*p - 29 = -b. Let i = 55 - b. What is the tens digit of 34/(-153) + 1066/i?
5
Let w(n) = 95*n**2 - 6*n + 3. Suppose 2*c + 3*m = -2*m + 11, 2*c - 2 = -2*m. What is the tens digit of w(c)?
9
Let h(o) = -320*o + 45. What is the tens digit of h(-14)?
2
Let c be 1 + (-10)/12 - (-17)/6. Suppose -c*x + 267 = -126. What is the units digit of x?
1
Let s(x) = -7*x**3 - 12*x**2 + 5*x + 14. Let c(y) = -8*y**3 - 11*y**2 + 4*y + 15. Let m(q) = -5*c(q) + 6*s(q). What is the units digit of m(-10)?
9
Let m = 156 - -197. Let d = -110 + m. What is the hundreds digit of d?
2
Suppose 102*o = -33*o + 41*o + 112894. What is the units digit of o?
1
Let i be (-28486)/(-16) + 9/(-24). Suppose -335 = 3*x - 4*q - 1669, -5*q = -4*x + i. What is the units digit of x?
0
Suppose 18*v - 13*v + 140 = 0. Let k = -14 - v. Let w = 81 + k. What is the tens digit of w?
9
Suppose -669*i = -662*i - 56889. What is the tens digit of i?
2
Suppose -7*m - 2600 + 283 = 0. What is the hundreds digit of 5/(-2)*(-56)/70 - m?
3
Suppose 0 = -2*y - 4*b - 16, 0*y - 5*b = y + 14. Let x = y + 123. Suppose -3*v - x = -6*v - a, 4*v - 5*a = 127. What is the tens digit of v?
3
What is the units digit of 6 + 0 - (7*-746 + 156/(-39))?
2
Let h(y) = 2*y**3 - y - 1. Let w(b) = 3*b**3 + 19*b**2 + 23*b + 26. Let j(d) = h(d) - w(d). What is the tens digit of j(-18)?
8
Let v be 4/(4/(-5)) + 7. Suppose r + 0*z + 5*z - 220 = 0, -v*r = 2*z - 448. What is the tens digit of r?
2
Suppose -n - 75 = -26*n. Suppose n*o + 33 = 3*y, 3*o = 3*y + 2*o - 27. What is the units digit of y?
8
Let v(q) = -9*q**3 + 5*q**2 - 3. Let s be v(2). Let k = s + 119. What is the tens digit of k?
6
Let g(h) = 13*h - 18*h + 20*h + 12. Let s be (-25)/(-9) + 10/45. What is the tens digit of g(s)?
5
Suppose p - 16 = -4*a + 17, -5*a + 127 = 3*p. Suppose 48*j + 429 = p*j. What is the hundreds digit of j?
4
Suppose 0 = -4*z - a + 24395, -73*z + 68*z - 2*a = -30493. What is the tens digit of z?
9
Let i(q) = -28*q**3 + 4*q + 6 + 2*q + 27*q**3 + 6*q**2. Let s be i(7). What is the tens digit of 168/(-16)*(s + -1)?
2
Let h be -4*(6/(-15))/((-2)/(-5)). Suppose 4 = -3*d + h*d. What is the units digit of d?
4
Suppose -t - 114 = 26. Let c be (-520)/390*1398/(-8). Let k = c + t. What is the units digit of k?
3
Suppose 2*b - 6 = -6. Suppose 5*r - 8 = -5*d + 17, r - 2*d + 10 = b. Suppose -2*a + r*a = -106. What is the tens digit of a?
5
Suppose -5*y + 6*y - 3*b + 3 = 0, 0 = 5*b. Let r be (-7 - y/3)*32/6. Let q = r + 48. What is the tens digit of q?
1
Suppose -12 = -4*u, 3*u + u = 3*q - 18816. What is the tens digit of q?
7
Let u(l) = 2087*l - 30. What is the units digit of u(2)?
4
Let z(n) = 7*n**2 + 90. What is the hundreds digit of z(-19)?
6
Let f(k) = 211*k + 130. What is the units digit of f(15)?
5
Let v(q) = -q + 22. Let x be v(17). Suppose g = -g - x*j - 8, -3*g + 5*j = -13. What is the units digit of 79 + 1/g + 0?
0
Let n be 1/(-2)*(-3 + -5). Suppose n*d + 4 = -2*g, 2*g + 3 + 1 = -3*d. Let o(b) = b**3 + b**2 - b + 50. What is the units digit of o(d)?
0
Let i(n) = n**3 + 65*n**2 - 63*n + 294. What is the units digit of i(-64)?
2
Suppose -4*n = y - 587, 4*n + 0*y - 596 = -4*y. What is the hundreds digit of (n/8)/(((-133)/(-84))/19)?
2
Let x(j) = -3*j + 3. Let i be x(9). Suppose -12*m + 1125 = -3*m. Let h = m + i. What is the hundreds digit of h?
1
Let s = 4019 - 3228. What is the tens digit of s?
9
Let q(s) = 14*s**3 + 28*s**2 - 9*s - 12. What is the hundreds digit of q(7)?
0
Let n(j) = 3486*j + 93. What is the units digit of n(1)?
9
Let a(q) = -2*q**2 - 25*q + 9. Let r be a(-13). What is the tens digit of (-1902)/r*28/42?
1
Suppose -5*y + 3*r + 46116 = 4*r, 1 = r. What is the units digit of y?
3
Suppose -3*d + 246 = 3*m, 103 = 3*m - d - 151. Suppose -18 = o - m. What is the units digit of o?
6
What is the thousands digit of 8/10*((-60)/8 + 10) - -7911?
7
Suppose 4*r = -4*z - 364, 3*z - 3*r - 81 = 4*z. Let q = -2 - z. What is the units digit of q?
4
Let u(m) = -58*m**2 + 57*m**3 + 4*m - 9 + 6*m + 56*m**2 - 5*m. What is the units digit of u(2)?
9
Suppose 0 = -7*j + 16*j - 126. Suppose -j*p = -18*p + 680. What is the hundreds digit of p?
1
Let w = -168 - -187. Suppose 0 = f + w - 149. What is the units digit of f?
0
Let s(q) = -q**3 + q + 2. Let x be s(0). What is the units digit of 9/45*995 + 2/x?
0
Suppose 4*b = 8 + 8. Let i(m) = -m**3 + 5*m**2 - 2*m - 8. Let t be i(b). Suppose 4 = -4*g, t*g - 2*g = -q + 19. What is the units digit of q?
7
Let w = 2575 - 1617. Suppose 17*f = -w + 3865. What is the tens digit of f?
7
Suppose -5*w = -b - 17, 4*w + b = 5 + 5. Suppose 0 = 4*q - l - 199, w*q - 2*q - 2*l = 41. What is the tens digit of q?
5
Suppose -3*z + 4*z - 5*k - 7683 = 0, 4*z - 2*k - 30732 = 0. What is the units digit of z?
3
Let z(o) = -o**2 + 5*o + 3. Suppose a - 3 = 2. Let g be z(a). Suppose -g*f + 171 = 2*u, -154 = -5*f - 4*u + 131. What is the tens digit of f?
5
Let p = -7135 + 10416. What is the units digit of p?
1
Suppose -o + 2*z - 4*z = -156, -5*o + 2*z = -804. Let f = 286 - o. What is the units digit of f?
6
Suppose 18*f + 29918 = 127262. What is the hundreds digit of f?
4
Let b be (1 - (-111)/9)*21. Let j = -191 + b. Let x = j - 46. What is the units digit of x?
3
Suppose 3*y + 4*d = 14, y + 5*d - 13 = 10. Let p be 0/(-8) + 8 + y. Suppose 2*t = -n + p*n + 188, 4*t - 352 = -2*n. What is the units digit of t?
9
Let w be 2 - -1 - (1 + -11)/2. Let a be ((-4)/w)/((-1 - 2)/24). Suppose -t - t - 262 = -a*b, 5*b + 4*t - 321 = 0. What is the tens digit of b?
6
Suppose 57 = -10*o + 157. Let i(j) = -j**3 + 10*j**2 + 8*j + 1. What is the tens digit of i(o)?
8
Let f(z) = -29*z**2 - 5*z - 5. Let j be f(-1). Let l = j - -494. What is the tens digit of l?
6
Suppose 0 = -v - 2*x + 16 - 3, 0 = 5*x - 10. Suppose 4189 = v*o + 211. What is the hundreds digit of o?
4
Let h = 43 - 41. Let p be (-15)/(-10) + (-57)/h. Let d = p - -95. What is the tens digit of d?
6
Let h(u) = -u**3 - 2*u**2 + 3*u - 4. Let y be h(-6). Suppose 11*m - y + 34 = 0. What is the units digit of m?
8
Let n(c) = -332*c - 4. Let i(b) = b**3 + 5*b**2 + 4*b - 4. Let r be i(-3). Let p be n(r). What is the units digit of -3 - (p/14 + 6/(-21))?
5
Let p be 44/(-5)*(-10 + 15). Let w = 43 + p. What is the tens digit of ((-5 - 4) + -3)*1/w?
1
Suppose -46812 = -48*v - 1591 + 2347. What is the hundreds digit of v?
9
Let p be 2/(-6) + -3*(-6139)/9. Suppose 5*j - p = -3*y, 3*y = -6*j + 2*j + 1635. What is the units digit of j?
1
Suppose b = -5*d - 48, -4*d + 0*d = 2*b + 36. Let c be (-2)/(-11) - d/(-55). Suppose c = 4*p - p - 270. What is the units digit of p?
0
Let d(b) = 2*b + 24. Let m be d(-12). Let j be m + 74 + 1 + 3. Let p = -40 + j. What is the units digit of p?
8
Suppose 8*b = -0*b - 96. Let z(u) = -u**2 - 12*u - 6. Let r be z(b). Let v(f) = f**3 + 8*f**2 - 2*f - 3. What is the tens digit of v(r)?
8
Let v(h) = -h**3 - 7*h**2 - 34*h - 281. What is the thousands digit of v(-22)?
7
Let m(b) = -b**3 + 19*b**2 - 6*b - 218. Let j be m(18). Suppose 4*w - 3*w - 20 = 0. Let q = j + w. What is the tens digit of q?
1
Let y be 2/6 + 1650/(-9). What is the tens digit of (y + -2)/(-3 + 2)?
8
Let p be (1712/24)/(6/27). Suppose 0 = -j + p + 137. What is the tens digit of j?
5
Let b(k) be the first derivative of 4*k**3/3 - 7*k**2 - 39*k - 54. What is the hundreds digit of b(-9)?
4
Suppose -112*z - 20 = -110*z. Let k = z + 214. What is the hundreds digit of k?
2
Let h(n) = -n**3 + 13*n**2 + 3*n - 2. Suppose 0 = -4*t + 4*l + 36, -3*t + 4*l + 10 = -t. What is the tens digit of h(t)?
3
Let l(g) = -2510*g - 360. What is the units digit of l(-3)?
0
Let a(k) = 9*k + 842. What is the tens digit of a(33)?
3
Suppose 0 = 5*p + 5, 5*s - p - 31 = -5. Let h = 19 + -19. Suppose i - 83 = -3*q + 176, 5*i - s = h. What is the tens digit of q?
8
What is the units digit of 85*(99/5 - (-37 + 36))?
8
What is the tens digit of (-3*(119/21 + -5))/(4/(-18798))?
9
Let r(j) = 93*j + 4. Let q(o) = -o**2 + 14*o - 9. Let b be q(13). Suppose b*v + 3 = 7. What is the units digit of r(v)?
7
Suppose 5*k + 0*k - 728 = -3*t, 2*t - 497 = -k. What is the tens digit of t/(0 + 1)*1?
5
Let d = 3 + 1. Suppose -4*v + d*c = -1620, 4*v + 314 = c + 1946. Suppose 7*b - v = 116. What is the units digit of b?
5
Suppose -o + i + 4 = 0, o + 3*i = -0*o - 12. Let t be 2 - o - -6 - 4. Suppose x - 50 = t*r, -x - 2*x + 98 = r. What is the tens digit of x?
3
What is the hundreds digit of (1010/(-4))/((-2)/32)?
0
Let a = 306 - 517. Let o = -103 - a. Suppose 5*r + 5 + o = 3*u, 3*u - 111 = 3*r. What is the tens digit of u?
3
Let r(a) = -5 + 2*a**3 - 2*a**3 - 5*a**2 + a**3 + 19 - 6*a. Let w be r(7). What is the tens digit of (w/4)/(4/8)?
3
Suppose 23*m = 133882 - 35626. What is the thousands digit of m?
4
Suppose l = 754 + 26. Suppose 2*i - 2*u = -23 + 539, -3*i + l = -5*u. What is the tens digit of i?
5
Let b be (433/(-4))/((-19)/456). Let x be b/10 + 2/10. Let s = x + -173. What is the units digit of s?
7
Suppose 29068 = -388*i + 401*i. What is the units digit of i?
6
Let m = -3180 + 6678. What is the units digit of m?
8
What is the units digit of (-4)/56*2 - -2294*(-144)/(-42)?
5
Suppose 4*x + 82 = n, -4*n - 3*x + 0*x + 271 = 0. Let z = 95 + n. Suppose 4*v - 115 = -5*k, -4*k + 52 - z = -5*v. What is the tens digit of v?
2
Let k be -1 + (-4)/(-2 + -2). Suppose -4*r - 4 = k, -3*r = 4*g + g - 62. What is the units digit of (2 + -1 + 1)/(1/g)?
6
Suppose 7955*q - 7969*q = -125930. What is the tens digit of q?
9
Let i(k) = 201*k**2 + 17*k - 35. What is the units digit of i(6)?
3
Suppose -13119 = 3*r - 7*r + 8577. What is the units digit of r?
4
Suppose -18*n + 748 = -16*n. Suppose -8*b + n = -66. What is the units digit of b?
5
Suppose 0 = -8*j + 5 - 5. What is the hundreds digit of 0 - 2 - -4 - (-173 + j)?
1
Suppose 62670 = -13*d + 184779. What is the units digit of d?
3
Let n = -9886 + 18128. What is the units digit of n?
2
Let p = 2747 + 3427. What is the hundreds digit of p?
1
Suppose 93*w = 56*w + 29896. What is the hundreds digit of w?
8
Suppose -95*p - 44 = -99*p. Suppose 171 = p*q - 4933. What is the units digit of q?
4
Let s be (-9 + 6)*(-1)/(-3). What is the tens digit of 257*1 - s*(-3 + 7)?
6
Let k(v) = -v**3 + 15*v**2 - 9*v - 23. Let y be k(11). Suppose -274 - y = -3*c. What is the tens digit of c?
1
Suppose 8*s - 4*s - 2400 = 0. Suppose 0 = -0*b - b - i + 128, 0 = 5*b - 3*i - s. Suppose 5*z - 4*a - 451 = 0, a + b + 55 = 2*z. What is the units digit of z?
7
Suppose 7*k = 6*k + 5. Let x(d) = -4*d + 10. Let u be x(k). What is the tens digit of (-48 - u)*(-1)/2?
1
Suppose 2*v - 3*s = 6, 8*s + 10 = -v + 3*s. Suppose -5*a + 2*a - 4*z + 879 = v, a = -4*z + 293. What is the tens digit of a?
9
What is the hundreds digit of 1/(-4) + 36690/8 + (339 - 334)?
5
Let w(f) = 3*f + 11. Let d be w(-3). What is the tens digit of (1110/(-18))/(d/(-12))?
7
What is the hundreds digit of (40280/(-15) - 2)/(-4*(-2)/(-24))?
0
Suppose 5*z - 2350 = 1470. Suppose 8*s = 2148 + z. What is the units digit of s?
4
Let z(l) = 2*l**2 + 11*l + 11. Let h be z(-6). Suppose -5*t + 5*a = -2230, 15*t - h*t + 893 = -a. What is the units digit of t?
7
Let x be (-4)/2 - -1 - -3. Let a(c) = -c**2 + 8*c - 3. Let j be a(2). Suppose j*g - 133 = x*g. What is the tens digit of g?
1
Suppose 198935 + 6709 = 37*m - 63568. What is the units digit of m?
6
Suppose -2*g = o - 3*o - 348, o = 2. Suppose 3*u - 785 + g = 0. What is the hundreds digit of u?
2
Suppose 2*r - 3*r = -19. Suppose -3*i + 2 = -r. Let x = i + -2. What is the units digit of x?
5
Suppose 13*k + 68 + 23 = 0. Let x(r) = -17*r + 79. What is the units digit of x(k)?
8
Let i(o) = 984*o - 826. What is the thousands digit of i(7)?
6
Let v = -61 + 65. Suppose 0 = -3*b - 0*b - 3*q + 183, v*q = 3*b - 190. What is the units digit of b?
2
Suppose -8 = -4*j + 3*l + 8, j - 5*l = -13. Suppose 0 = -y + 2, -293 = 6*k - j*k + 2*y. What is the tens digit of k?
9
What is the tens digit of (-2 + 3 + -2)*1*(-7115 - 2)?
1
Let y = 1761 - -2194. What is the tens digit of y?
5
Let u be (-16)/2*(-70)/80. Suppose -u*h + 764 = -1147. What is the hundreds digit of h?
2
Let w(i) = i**3 - 10*i**2 + 15*i - 20. Let n be -3 + ((-17)/(-3) - (-4)/(-6)). Suppose 0 = -2*p + 2*b + 12, -2*b - b + 27 = n*p. What is the tens digit of w(p)?
3
Let g(k) = -k**3 - 11*k**2 + k + 15. Let t be g(-11). Suppose -8 = -v - 3*h, 0*h + 4*h + 64 = t*v. Let r = v - -63. What is the tens digit of r?
7
Let n be 5/5 + 38 + -3. Suppose 7*k - 3*k - n = 0. Suppose 2*o + 50 = 2*j, j + 6*o = 3*o + k. What is the tens digit of j?
2
Suppose 0 = -y + 5*y - 2*h - 28382, 5*h + 35485 = 5*y. What is the units digit of y?
4
Suppose -f + f - h = 0, 0 = f + 4*h - 6928. What is the thousands digit of f?
6
Let d be 27/3*(-10 + (-1496)/(-99)). Let s(i) = i + 5. Let y be s(0). Suppose 2*f - y*o = 7*f - 245, f - 2*o = d. What is the tens digit of f?
4
Suppose -5*d - 2310 = 5*c, d + 1429 + 881 = -5*c. Let f = 862 + c. Suppose 0*l = 4*l - f. What is the tens digit of l?
0
Let m = 1513 - -3302. What is the tens digit of m?
1
Let y = -38 + 42. What is the tens digit of -1*3 - (-4)/(y/297)?
9
Let m(x) = -12*x + 62. Let f be m(5). Suppose -2*j - 60 + 425 = t, f*t - 727 = -j. What is the tens digit of t?
6
Let n be 2 - -1*(-4 - -5). Let i be (-2 + n)*440/5. Suppose 2*z - i = -3*w, 2*z - 7*z = 20. What is the tens digit of w?
3
Let l(q) = 144*q. Let k(w) = -w + 1. Let t(o) = -3*k(o) + l(o). What is the hundreds digit of t(3)?
4
Let h(l) = 4*l**2 - 4*l - 3. Let m be h(-1). Let c be (0 + 0/(-3))/(-1). Suppose c = 2*w + m*j - 0*j - 167, -2*w + 2*j + 188 = 0. What is the tens digit of w?
9
Suppose 20*r = 2*u + 19*r - 1110, 0 = -u - 5*r + 566. What is the tens digit of u?
5
Suppose -24*h + 3417 = -7*h. Suppose -5*n - 2176 = -5*q - h, 405 = q + n. What is the units digit of q?
0
Suppose x = -4*i + 91, -2*i - 2*x - 21 = -59. Suppose -4*b = -308 + i. What is the units digit of b?
1
Let z(r) = -6*r + 24. Let f be z(-6). Let c = -50 + f. Let q(x) = x**3 - 9*x**2 - 9*x - 6. What is the units digit of q(c)?
4
Let j be (-3)/(-3 + 0)*5. Suppose 0 = j*f + i - 80, -2*i - 23 = -2*f + 21. Let c = -10 + f. What is the units digit of c?
7
Let l = -25 - -7. Let n = l - -37. Let d = n + 38. What is the units digit of d?
7
Let b = 8136 - -416. What is the hundreds digit of b?
5
Suppose -2*b - 3*b + 3*s - 249 = 0, 5*s - 255 = 5*b. Let d = b - -45. What is the units digit of 21/1 + 6 + d?
4
Let q(j) = -24. Let o(t) = t**2 + 2*t + 47. Let p(s) = 3*o(s) + 5*q(s). What is the tens digit of p(-5)?
6
Suppose 19 = 5*y - 1. Let l be -1 + (18 - 16/y). Suppose -l*r + 504 = -4*r. What is the tens digit of r?
5
Let c(u) = 2*u**3 + 17*u**2 - 31*u - 10. Let x be c(-10). What is the units digit of (x - -2) + (-936)/(-7 - -3)?
6
Suppose 0 = 2*a - 2*c - 34, 0*a + a + 3*c = 5. Let n = 46 + -74. What is the units digit of a/n + 2/((-8)/(-82))?
0
Let u be -2 + (-18)/(-15) + 18634/55. Let d = u - 26. What is the hundreds digit of d?
3
Suppose 32*s = 30*s + 916. What is the hundreds digit of s*((-15)/(-6) - (3 - 1))?
2
Let u(h) = -627*h - 1567. What is the thousands digit of u(-6)?
2
Let m(h) = -2*h**3 + 18*h**2 - 2*h + 31. Let s be m(9). Suppose -793 = s*d - 6799. What is the hundreds digit of d?
4
Suppose -1385*h = -1374*h - 104940. What is the tens digit of h?
4
Let f = 9736 - 3727. What is the units digit of f?
9
Suppose -1366*k + 12276 = -1382*k + 76388. What is the thousands digit of k?
4
Let m(v) = 2*v**2 - 36*v + 39. Let t be m(17). Let q be (0 + 2)/((-1)/(-2)). Suppose 3*i - q*f - 76 = 117, -t*i - 5*f = -345. What is the units digit of i?
7
Suppose 543 = -c - 3*l + 7*l, -4*l - 4 = 0. Let w = 775 + c. Suppose -w = -5*z + 82. What is the tens digit of z?
6
Suppose 4 = w + 7. Let y = 57 + w. Suppose r - y = -r. What is the tens digit of r?
2
Let p(m) = -19*m + 3*m**2 - 2*m**2 + 20*m. Let d(h) = -2*h**2 - 15*h + 23. Let j(s) = d(s) + 3*p(s). What is the units digit of j(16)?
7
Suppose 76*f - 42*f - 36*f + 19342 = 0. What is the thousands digit of f?
9
Let d(n) = 6*n + 555 + 11*n - 545 - n**2. What is the units digit of d(17)?
0
Let m(d) = d - 16. Let f be m(11). What is the units digit of (-16)/80 - 1026/f?
5
Let c be (-142)/(-4)*(7 + 11). Suppose 16*u - 7*u - c = 0. What is the units digit of u?
1
Suppose -621*m + 288376 = -563*m. What is the tens digit of m?
7
Let z = -28 - -30. Let k be 31/2*(3 - (-3 + z)). Let x = k - 4. What is the units digit of x?
8
Let a be 3/18 - (-145)/30. Let d(i) = 0 + 4*i + a*i + 7 - 8*i. What is the units digit of d(-5)?
2
What is the thousands digit of ((-103808)/80)/(3/(-15))?
6
Suppose -246548 = -49*t + 183133. What is the tens digit of t?
6
Suppose -16*u + 84*u = 368764. What is the tens digit of u?
2
Let j be ((2 - 2)/(3 - 5))/2. Suppose b - 3*b = j. Suppose -4*l + 13*l - 189 = b. What is the tens digit of l?
2
Suppose 4*h = -3*z + 25, -6*h = -8*h + 2*z + 16. Suppose 8*m = -h*m + 1140. What is the tens digit of m?
7
Suppose 53*z = 48*z - 4*h + 26005, -4*h = 0. What is the thousands digit of z?
5
Let r(w) = w**3 - 9*w**2 - 6*w - 13. Let v be r(10). Suppose -v + 87 = 10*d. Let s(o) = o**3 - 5*o**2 - 4*o - 2. What is the tens digit of s(d)?
1
Let l(q) = q**3 + 4*q**2 + 6*q + 5. Let o be l(6). Let v = o - 211. What is the units digit of v?
0
Suppose -4*j + 8*o + 8 = 6*o, -2*j - o + 8 = 0. Suppose 0 = -2*i + m + 111, 155 = 3*i + j*m - 34. What is the tens digit of i?
5
Suppose -11*j - 905 = -6*j. Let d = 202 + j. What is the tens digit of d?
2
Let l be (1/2)/((-20)/(-30080)). Suppose -p - l = -5*p. What is the tens digit of -3 - 1/((-2)/(p/2))?
4
Let s be 3 + 0 - (3 + -4). Suppose s*u - 26 = k - 6, 0 = 5*u - k - 25. Suppose -110 = u*f - 7*f. What is the units digit of f?
5
Suppose 13 = 2*t - 1. Let a(r) = 2*r**2 - 15*r + 7. Let f be a(t). Let y(o) = o**2 - o + 31. What is the units digit of y(f)?
1
Suppose -4*m - 2 = -2*l, 0 = -6*m + 2*m + 8. Suppose -3*v = -0*v - 10*v. Suppose l*x = -v*x - a, -5*x + 4*a = -25. What is the units digit of x?
1
Let y = -5409 - -15251. What is the hundreds digit of y?
8
Let i be 126 - 2/(-2)*2. Suppose 136 = -3*q - i. What is the units digit of q/(-1) - 14/7?
6
Let k(n) = -27*n**2 + 13*n - 14. Let x be k(6). Let f = -634 - x. What is the tens digit of f?
7
Let p(a) = a + 3. Let i be p(3). Suppose 1330 = i*v - 74. Let s = v - 160. What is the units digit of s?
4
Let w = 12735 - 6728. What is the thousands digit of w?
6
Suppose -5 = -213*c + 212*c, 5*x - 13670 = -4*c. What is the thousands digit of x?
2
Let q = -6354 + 11386. What is the tens digit of q?
3
Let h(a) = 44*a - 1010. What is the units digit of h(82)?
8
Suppose 2*x = -40*u + 38*u + 15146, 9 = -3*x. What is the tens digit of u?
7
Let k be -40 + (-3 - (-5 + 2 + -2)). Let j = 42 + k. Suppose -j*b - 3*x + 380 = -7*x, -257 = -3*b - 4*x. What is the units digit of b?
1
Let p = -4 + 4. Suppose p = 4*x + 11*x - 5370. What is the units digit of x?
8
What is the units digit of 0 + (-23)/46 - (-22362)/4?
0
Suppose -17*x - 15*x - 324489 = -65*x. What is the hundreds digit of x?
8
Suppose -108*k - 17160 = 4*k - 618264. What is the hundreds digit of k?
3
Let f(r) = 159*r - 24. Let p be f(-7). Let i = 1603 + p. What is the hundreds digit of i?
4
Let g(v) = v**2 - 440*v + 21. What is the units digit of g(-19)?
2
Let p(m) = m**3 + 10*m**2 - 2*m - 12. Let c be p(-10). Suppose -23 - 9 = -c*f. What is the units digit of 227/f + 8/32?
7
Suppose 7*a - 425 = 380. Suppose 4*l - a + 7 = 0. What is the units digit of l?
7
Let i(x) = 15*x + 4. Let n be i(0). Suppose 0 = 3*g + 5*z - 55, 13 = n*z + 29. What is the tens digit of g?
2
Let u(s) = 2*s**3 + 31*s**2 + 61*s + 4. What is the tens digit of u(-11)?
2
Let s(n) = 6 + 27*n - 26*n + 3. Let y(i) = 2*i + 27. Let j(v) = -7*s(v) + 2*y(v). What is the tens digit of j(-12)?
2
Let i = -705 - -5366. What is the units digit of i?
1
Let f be 3/(-12) - (-33)/4. Suppose 4*h + 32 = 3*i, -3*h - f = 7. Suppose 0*l + 106 = 3*l + i*z, 4*l - 138 = -2*z. What is the tens digit of l?
3
Let y = 1569 + 2107. What is the thousands digit of y?
3
What is the thousands digit of -2*(82925/(-20) - -4*6/(-96))?
8
Let c(u) = -653*u - 978. What is the thousands digit of c(-8)?
4
Let d(k) = k**3 - 12*k**2 - 6*k + 25. Let w be d(10). Let v = 618 + w. What is the units digit of v?
3
Suppose 0*s - 17 = -2*u - s, 0 = 3*u + 4*s - 38. Suppose u*k + 17 = 41. Suppose -4*f - o = -285, -3*f + 168 = -k*o - 60. What is the units digit of f?
2
Suppose 6*v = -28*v - 37*v + 377010. What is the thousands digit of v?
5
Suppose -6 = -2*p - 4*k, -4*k - 4 + 0 = 0. What is the units digit of -1*(-5 + (p - 466))?
6
Suppose 90*n + 22452 = 102*n. What is the units digit of n?
1
Let c = -5 + 8. Suppose -3*v + 4*p + 18 = p, 3*p = -c*v + 6. What is the tens digit of 2*((-570)/v)/(-5)?
5
Let d be (11 + 4)*(-1 + (-14)/(-10)). Let f(u) = -4*u - 5 - u**2 - 2*u**2 + d*u + 8*u**2. What is the tens digit of f(4)?
8
Let p(z) = z**2 - 3*z - 28. Let c be p(7). Suppose c = 15*t - 5996 + 1886. What is the units digit of t?
4
Suppose -250*r + 254*r = 0. Suppose p - 17*p + 1104 = r. What is the tens digit of p?
6
Suppose 10*x + 1224 = 6*x. Let z be -3 + (3 - x/3) + -2. What is the tens digit of (-646)/(-8) + -5*(-5)/z?
8
Let f(t) = 5*t + 78. Let y be f(-15). Suppose -89 = -y*v + 115. What is the tens digit of v?
6
Suppose 2*x - 4 = 6. Suppose 0 = x*c - 4*c - 3. Let p(w) = 8*w**2 - 6*w - 4. What is the tens digit of p(c)?
5
Let p(f) = 2*f**2 - 11*f - 4. Let b be p(6). Let s be (2 + 10)*b/(-4). What is the units digit of ((-15)/s - 2) + (-149)/(-2)?
5
Suppose 15*w - 130499 + 10019 = 0. What is the tens digit of w?
3
Let u = 195 + -449. Suppose -2*g = 3*g + 150. What is the tens digit of 20/g - u/3?
8
Let x = -197 - -204. Suppose -x*d = -1866 - 143. What is the hundreds digit of d?
2
Suppose 4*q - 4*z = 5*q - 19, -5*z + 29 = 3*q. Let r be (q - 4/4)*26. Suppose 0 = 4*j + r - 280. What is the units digit of j?
7
Let t(g) = 7*g - 2. Let a be t(1). Suppose -d - 8 = -5*b, a*b - 12 = 13. What is the units digit of d?
7
Suppose 2*p = -95*n + 92*n + 5749, 4*p = n - 1893. What is the hundreds digit of n?
9
Let q(b) = b**2 - 8*b + 5. Let w be q(6). Let n be (-2)/w + (-3 - 216/(-28)). Suppose -258 = -5*f - x, 0 = n*x + 1 - 16. What is the units digit of f?
1
Let q be (2/5)/((-396)/(-195) + -2). Suppose -q*r = -5*r - 3320. What is the tens digit of r?
1
Let r(u) be the second derivative of 58*u**3/3 - u**2/2 - 5*u. Let l be r(1). Let h = 181 - l. What is the units digit of h?
6
Let n(b) = 24*b + 53. Let f be n(10). Suppose 5*i = -5, -870 = -3*z - i + f. What is the tens digit of z?
8
What is the units digit of (4/(-6) + 11186/(-15))/(20/(-250))?
0
Let u = -3044 - -3495. What is the tens digit of u?
5
Let o be 12/3 + (2 - 4). Suppose -2*c = -a + 303, -o*c = -19*a + 23*a - 1232. What is the hundreds digit of a?
3
What is the thousands digit of (7 - (-416)/(-24))*-687 + 1 + -6?
7
Let z = -141 + 200. Let b(f) = 10*f + 6. Let s be b(-3). Let y = z + s. What is the tens digit of y?
3
Let m(l) = -12*l - 32. Suppose 0 = -3*k + u - 82, -4*u + 2*u = -8. What is the tens digit of m(k)?
8
Let c = -84 - -103. Let b(m) = 2*m**2 - 25*m + 50. What is the tens digit of b(c)?
9
Let k(p) be the first derivative of 12*p**4 + p**3/3 + 5*p**2/2 - 5*p + 71. What is the tens digit of k(2)?
9
Let v be (-2)/(-4 - -2) - -2. Suppose c = 2*m + 79, 2*m + 145 = 2*c - 5. Suppose 2*n - 5*u - 72 = c, 237 = v*n - 3*u. What is the units digit of n?
4
Let k = 20505 + -11992. What is the tens digit of k?
1
Let f(y) = 2*y**2 - 2*y + 7846. What is the thousands digit of f(0)?
7
Suppose 4 = 10*n - 16. Suppose -n*c + 4*w = 3*c - 2174, 3*c = 5*w + 1294. What is the units digit of c?
8
Let m be (-5)/90*-87 - (-2)/12. Suppose -4*c = 4*i - 1000, m*c - 972 = -4*i + 8*c. What is the hundreds digit of i?
2
Let x = 8925 - 3143. What is the hundreds digit of x?
7
Let n(d) = -d**2 + 17*d - 22. Suppose 2*i - 160 = -2*i. Let y = i - 28. What is the units digit of n(y)?
8
Suppose 4*t + 0*t = 16. Let q(a) = -2 - 3 + 254*a - 228*a + 0. What is the units digit of q(t)?
9
Let w(j) = 19*j + 13. Let r(o) = -9*o - 6. Let v(b) = -5*r(b) - 3*w(b). Let t be v(-12). Let c = -87 + t. What is the tens digit of c?
4
Suppose 4*a = -5*o + 111, 3*o = a - 20 - 12. Suppose 0 = 3*c + 6*g - 11*g - 36, 0 = -5*g + 15. Let v = a + c. What is the tens digit of v?
4
Let f(k) be the first derivative of 12*k - 6 + 1/3*k**3 + 5/2*k**2. What is the units digit of f(-7)?
6
Suppose -206*u = -139*u - 148807. What is the units digit of u?
1
What is the hundreds digit of 6515 + (-10 - (-90)/9)?
5
Suppose 0 = 4*w + 4*q - 280, -4*q + 3*q = -4*w + 295. Suppose w = 4*c + 13. What is the units digit of -4 - (-1310)/c - (-1)/(-3)?
3
Suppose -8*i + 11*i = 2*c - 7372, 0 = -i. What is the hundreds digit of c?
6
Let c(b) = -323*b - 11. Let y be c(1). Let w = y + 797. What is the units digit of w?
3
Suppose 2*b = -5*r + 7398 + 1978, -2*b + 7500 = 4*r. What is the tens digit of r?
7
Let k = -25 + -23. What is the tens digit of (-3)/k*28*252?
4
Let d(n) = 179*n**2 - n + 2. Let z(u) = -89*u**2 - 1. Let y(g) = 6*d(g) + 11*z(g). What is the units digit of y(2)?
9
Let w = 1653 - -1036. What is the units digit of w?
9
Suppose 19036 = 4*y + 2*a, -34*y + 32*y - 5*a = -9502. What is the units digit of y?
1
Let k(y) = 97*y**2 - 23*y - 64. What is the tens digit of k(-10)?
6
Let r(s) = -56*s**3 - s**2 - s + 1. Let l be (-6)/(-3)*-1*(-1 + 2). What is the tens digit of r(l)?
4
Suppose 0*h + 1505 = -7*h. Let u = h + 431. What is the hundreds digit of u?
2
Let y(d) = 16*d**2 - 10 - 11*d - 29*d**2 + 12*d**2. Let g be y(-10). Let n(q) = q + 72. What is the units digit of n(g)?
2
Let i be ((-2)/(-4))/((-20)/40)*394. Let s = 833 + i. What is the hundreds digit of s?
4
Suppose -2*i = -3*z - 94 - 708, 3*i - 1209 = 3*z. Let a = 606 - i. What is the units digit of a?
9
Let z(o) = -7*o - 20. Let b(u) = 3*u + 10. Let a(v) = 5*b(v) + 2*z(v). Let s be a(-19). What is the tens digit of (-3)/((-6)/196) + (-9 - s)?
9
Suppose -80 = -8*g + 10*g. Let m = 26 - g. What is the units digit of m?
6
Let f be 52/28 - -2*4/56. Suppose -3*c + 107 + 22 = f*l, 3*l - 174 = 2*c. What is the tens digit of l?
6
Let x(n) = -8153*n - 155. What is the units digit of x(-1)?
8
Suppose -80 + 5 = 5*c. Let u = 136 - 133. What is the tens digit of 2*(-5)/c - (-67)/u?
2
Let f(r) = -r**3 - 9*r**2 - 257*r + 41. What is the hundreds digit of f(-20)?
5
Let y(l) = 212*l + 369. What is the hundreds digit of y(19)?
3
Let d(h) = -9*h**3 + 29*h**2 + 20*h + 2. What is the tens digit of d(-8)?
0
Suppose 2*w + 14 = b, -5*b + 2*b + 32 = -4*w. Suppose b*p = -2*p + 456. Let f = -18 + p. What is the units digit of f?
8
Let m be (-6)/(-9)*(-3)/(-1). Suppose 5*t + 2*b = 1093, -2*t - 3*b + 437 = -m*b. Let o = 318 - t. What is the tens digit of o?
9
Let x = -3263 + 12760. What is the thousands digit of x?
9
Let p(d) = 5*d + 152. Let g(o) = -8*o - 302. Let y(a) = -3*g(a) - 5*p(a). What is the tens digit of y(27)?
1
Suppose -38 = -3*w - 2*v, 0*v - v + 1 = 0. Suppose -w*i - i = -2106. What is the tens digit of i?
6
Let k = -12190 + 21812. What is the tens digit of k?
2
Let h = 5829 + -3503. What is the thousands digit of h?
2
Let q(d) be the second derivative of d**5/20 + d**4/12 - d**3/6 + 39*d**2 - 19*d - 3. Let x be (-3 - -3)/(1 - 0). What is the tens digit of q(x)?
7
Suppose -5*h = -6*h + 2. Suppose 5*t = h*t - 18. What is the units digit of 75 - (t/3 - 0)?
7
Let y(o) = -o + 20. Let f(h) = -3*h + 40. Let d(j) = 3*f(j) - 5*y(j). Let u be d(4). Suppose 33 = u*c - 207. What is the units digit of c?
0
Suppose 2*b + 7 - 5 = -3*r, -4*b + 16 = r. What is the hundreds digit of (1413/(-6))/(3/r)?
3
Suppose -5*s + 30025 = 5*r, -85*r + 4*s = -88*r + 18015. What is the hundreds digit of r?
0
Let i be 5*(1 - 9/15). Suppose -2*o + 150 = -r, o - r - 226 = -i*o. What is the tens digit of o?
7
Let a(r) = 4*r**2 + 31*r - 36. Let n be a(30). Suppose -4*y - 17*y = -n. What is the tens digit of y?
1
Let x = 4893 - 1882. What is the tens digit of x?
1
Let h = -398 + 684. Suppose 85 = -i + h. Suppose m + i = 4*m. What is the tens digit of m?
6
Let m = 771 - 1323. Let q = 1015 + m. What is the tens digit of q?
6
Let b(m) = m**3 + 4*m**2 - 38*m + 3. What is the units digit of b(-8)?
1
Suppose 3*u - 3*r = 19164, 20*u - 25*u - r + 31910 = 0. What is the hundreds digit of u?
3
Suppose -4*h = -3*k + 9, 3*h = -3*k - 0*k + 9. Let t be 2/(-6) + 916/k. Suppose -11*z + t = -47. What is the tens digit of z?
3
Suppose -3*v + 5*f + 340 - 11 = 0, -4*v - f + 477 = 0. Suppose -5*s - 627 = -1707. Let y = s - v. What is the tens digit of y?
9
Let y(v) = 69*v**3 + 8*v**2 - 46*v + 4. What is the tens digit of y(4)?
6
Let o(j) be the first derivative of -j**4/4 - 19*j**3/3 + 9*j**2 + 37*j - 17. What is the units digit of o(-20)?
7
Let n(s) be the first derivative of s**3/3 - s**2 - 19*s - 162. Suppose 0 = z + 3*t + 8, 3*t = -t. What is the tens digit of n(z)?
6
Suppose 1203 = 12*x - 981. Let d = x - -33. What is the tens digit of d?
1
Suppose -5*f = -16*f - 0*f + 67177. What is the hundreds digit of f?
1
Let n(q) be the first derivative of -2*q**3/3 + 2*q**2 + 2*q + 10. Let u be n(4). What is the units digit of (u/10)/((-6)/30)?
7
Suppose -76*w = 47*w - 246. What is the units digit of w?
2
Let x = -10385 - -19775. What is the thousands digit of x?
9
Suppose -4*s - 4250 = -2*n, 3*s + 38 = 47. What is the hundreds digit of n?
1
What is the tens digit of (-30)/(-75)*2935 + (-2 - -3) + 4?
7
Let x = 2692 - 2652. What is the units digit of x?
0
Let t(n) = 41*n**2 + 220*n - 54. What is the units digit of t(-17)?
5
Let d be 1*((0 - (3 - 4)) + 0). What is the hundreds digit of ((-18)/6)/(d/(-92))?
2
Let y = 76 - -116. Let g be 156/42 - 2/(-7). Suppose -g*k = m - 0*m - 370, 2*k - 3*m = y. What is the units digit of k?
3
What is the units digit of ((-14493)/(-2))/((294/56)/7)?
2
Suppose 4*f - 24 = 20. Let o(g) = -g**3 + 10*g**2 + 12*g - 6. Let d be o(f). What is the units digit of 74/d - (-1)/5?
5
Let d = 39 + -240. Let u = 242 + d. What is the units digit of u?
1
Let m be -3*(-2)/(-8) - (-3)/4. Suppose -5*u + 1665 = -x, m = 7*u - 4*u - x - 997. What is the units digit of u?
4
Let b(k) = k**2 - 86*k + 228. What is the units digit of b(90)?
8
Let f(x) = -326*x**2 - 2*x + 0*x + 128 + 325*x**2. What is the units digit of f(0)?
8
What is the thousands digit of 9 + 611499/63 + (-4)/(-6)?
9
Let z = 3430 - 2745. What is the hundreds digit of z?
6
Suppose 7*a + 12 = 2*l + 2*a, 0 = 2*l + a - 36. What is the hundreds digit of 38175/85 - l/136?
4
Suppose 0 = -5*l, -98*l + 103*l = 2*r - 12734. What is the thousands digit of r?
6
Suppose o - 8 = -5. Suppose -171 = o*t - 6*t. Suppose -t - 268 = -5*i. What is the tens digit of i?
6
Let j(r) = -r**2 - 71*r + 827. What is the units digit of j(-54)?
5
Let y(p) = -p**3 - 13*p**2 - p - 10. Let b be y(-13). Let o(q) = 36 - 12*q**b + 24 + 18*q**3 - 7*q**3. What is the units digit of o(0)?
0
What is the thousands digit of -5 + 4/42 + 50/42*6058?
7
Suppose 29*k + 1635 = 12956 + 4165. What is the units digit of k?
4
Let g(f) = -11*f + 2. Let z(s) = 11*s - 1. Let l be 2/(-9) + (-80)/(-36). Let q(m) = l*z(m) + 3*g(m). What is the units digit of q(-3)?
7
Suppose y - 24049 = -y - 5*a, y - 12027 = -3*a. Suppose -13*o = 13*o - y. What is the units digit of o?
2
Let k = 8 + -6. Let g be -6*8*(-7)/42. What is the units digit of (g - (5 + -3)) + -5 + k?
3
Suppose -11*d + 22 + 22 = 0. Suppose -d*n - n - y + 839 = 0, 4*y + 151 = n. What is the hundreds digit of n?
1
Suppose 9 = 2*p + 7. What is the units digit of (-37*p)/(4*9/(-72))?
4
Suppose 398 - 377 = 3*k. Suppose 5*q = k*s - 4*s + 2103, -3*q + s = -1265. What is the units digit of q?
3
Let c(z) = 2*z**2 + 11*z - 35. Let m be c(-8). Suppose 3*j = -m*p + 842, -5*j = 4*p - 5*p - 1422. What is the units digit of j?
4
Suppose 2*t + 3*h = -2*t - 1314, 0 = 3*t - h + 992. What is the tens digit of (4/(-10))/(((-4)/t)/(-2))?
6
Let k(v) = 570*v**2 + 4*v - 38. What is the hundreds digit of k(4)?
0
Let l(p) = p**2 + 3*p + 3. Let k be l(3). Let q = k + -23. What is the tens digit of 4 + (2 - q) + 12?
2
Suppose y - 2*u = -37 - 4, 41 = -y - 2*u. Let h = -6 - -92. Let z = y + h. What is the units digit of z?
5
Let w(s) = 55*s**2 - 57*s - 181. What is the units digit of w(-3)?
5
Suppose 2*h = -4*t - 14, 3*h + 0*t - 14 = t. Suppose 4*r - 5*c + 17 = 0, -5*r + c + 8 = h. Suppose r*q = 0, -2*q = -n + 9 + 6. What is the units digit of n?
5
Suppose -q = -6*q + 25. Let b = 2241 - 2239. Suppose 4*l + l = -4*w + 223, -b*l + q*w + 109 = 0. What is the units digit of l?
7
Let m be -31 + 374/119 + (-2)/14. What is the units digit of 1108/28 + (48/m)/(-4)?
0
Let m(o) = -o**2 - 2*o - 115. Let x = -38 + 38. Let a be m(x). Let p = a - -166. What is the units digit of p?
1
Let f be (-3 - -1) + 0 + 6. Suppose x - 3*m - 628 = -x, f*x - 4*m - 1260 = 0. Suppose -2*z = -0*z + 2, 5*k + 3*z - x = 0. What is the units digit of k?
4
Suppose 3*o = o + 3*o. Suppose o = -5*r + 7 - 7. Suppose r = g - 81 - 6. What is the units digit of g?
7
Let g be (6/7)/(22/77). Suppose 4*j = g*j + 34. Suppose -8*i + 9*i = j. What is the tens digit of i?
3
Let c = 69 - 261. Let i = -49 - c. What is the tens digit of i?
4
Let t(u) = u**3 + 8*u**2 + 12*u + 7. Suppose 12 = -3*r + 5*l, r - 8 = 3*r - 4*l. Let k = r + -2. What is the units digit of t(k)?
7
Suppose 2*l - 256 = 2*d, 0 = -4*l + 5*d + 326 + 186. What is the tens digit of l?
2
Suppose 45*k + 42*k = 76*k + 65362. What is the thousands digit of k?
5
Let n be (-20336)/(-6) + 28/(-21). Suppose p - 12*p = -n. What is the tens digit of p?
0
Suppose -5*f - 139 + 4414 = 0. Let t = f + -545. What is the units digit of t?
0
Let q be (-105)/(-3)*3/5. Suppose 0 = -22*y + q*y + 3. Suppose -y*o + 236 = 47. What is the units digit of o?
3
Suppose 0 = -2*n - 5*w - 5, 5*w + 6 = n + 1. Suppose 3*v + 57 = 2*t, t + 3*t - v - 89 = n. Let m = 39 - t. What is the tens digit of m?
1
Let m = -20880 + 29878. What is the hundreds digit of m?
9
Let k(q) = 14*q**2 - 312*q + 59. What is the hundreds digit of k(27)?
8
Let m(l) = l**2 + 2*l + 5. Let a be m(-5). Suppose a = -p + 8. What is the units digit of -3 + 0 - (1 + p)?
8
Suppose 0 = 6*x - 1 - 41. Suppose x*w = 5*w + 114. Suppose 4*a = w + 319. What is the units digit of a?
4
Suppose x + 7 = -4*f, 2*f + 10 = x - 1. Suppose -506 = -x*u + 159. What is the tens digit of u?
3
Suppose 2*c - 1536 - 14296 = 0. What is the thousands digit of c?
7
Suppose 35*g + 125679 - 105521 - 268623 = 0. What is the tens digit of g?
9
Suppose -40582 = -5*g - p, 5*g - p - 18277 = 22311. What is the units digit of g?
7
Let w = -1 + 3. Suppose 5*l + 114 = 139. What is the units digit of l/((-5)/(-52)) - w?
0
Let q(l) = -l**3 - 23*l**2 + l + 32. What is the tens digit of q(-28)?
2
Suppose -384 = -s + 7*s. Let i = 153 - s. What is the hundreds digit of i?
2
Let r = -1 - -6. Suppose -t + r*v = 140, -3*v + 72 = -5*t - 540. What is the tens digit of ((-96)/10)/(18/t)?
6
Let o be 5/1 - (-1 + 2). Suppose 3*a = -f + 6*a + 465, 0 = -o*f - a + 1808. What is the units digit of f?
3
Suppose 0 = -5*c + 3 - 8. Let y(j) = -275*j**3 - j. Let m be y(c). Suppose 0 = 6*w - 150 - m. What is the units digit of w?
1
Suppose -2*l - 11 = -4*v + 5, 3*l + 4 = -4*v. What is the tens digit of ((-1110)/18)/(l/24)?
7
Let k = -140 + 217. What is the units digit of (-2)/4*2*k/(-1)?
7
Suppose -8 = -6*s - 8. What is the hundreds digit of 0 + 207 + (s + 0)/(-7)?
2
Suppose -2*f = -5*z - 5*f + 2531, -2534 = -5*z - 2*f. Let h = z + -281. What is the hundreds digit of h?
2
Let r = 108 - 117. Let n(m) = 3*m**2 - 13*m - 4. What is the hundreds digit of n(r)?
3
Let l(h) = 2*h**2 + 30*h + 22. Suppose 112 = 17*o - 24*o. What is the units digit of l(o)?
4
Let t(p) = 115*p**2 - 145*p + 13. What is the tens digit of t(8)?
1
Suppose 4*b - 227 = -51. Let x = b - 39. Suppose 3*h = -5*t + 216 - 61, x*t = 3*h + 125. What is the units digit of t?
8
Let j(x) = -3*x - 27. Let y be j(-9). Suppose 2*t - 2*o - 6 = y, 4*o - 6 + 3 = -t. What is the units digit of 2/t + 1 + 244/3?
3
Let f be (-4)/(-14) + 60/35. Suppose -4*h - 207 = 4*t - 563, 2*h - 196 = 4*t. Suppose h = f*y - 28. What is the units digit of y?
0
Let c(y) = 108*y**2 + y - 8. Suppose -4*d + 4 = 4*z, 4*d + 0*d = 4*z + 12. What is the tens digit of c(d)?
2
Let u(g) = -g**3 - 11*g**2 - 8*g - 16. Let j be u(-10). What is the tens digit of (18/j)/((-1)/212)?
0
Suppose 2*a - 103 = -5*v, -v + 2*a + 27 = 4*a. Let c = v + 13. Suppose c + 62 = d. What is the tens digit of d?
9
Let b be 1 + (-63)/(-5) - 15/25. Let t = 13 - b. Suppose -v - 4*v + 240 = t. What is the units digit of v?
8
Suppose 0 = 33*d - 29*d - 80. Suppose 24*l = d*l + 1324. What is the tens digit of l?
3
Let v(r) = 3*r**3 - 50*r**2 + 29*r - 134. What is the hundreds digit of v(20)?
4
Suppose 0 = -5*w - u + 8890, -3*w + 33*u + 5334 = 30*u. What is the hundreds digit of w?
7
Let f = 1794 - 894. Suppose 0 = 3*c - 10*j + 13*j - f, -3*j = -5*c + 1516. What is the units digit of c?
2
Let h(b) = -7*b**2 + 22*b + 21. Let j(k) = -8*k**2 + 23*k + 21. Let c(a) = 7*h(a) - 6*j(a). Let n be c(9). What is the units digit of -1*(-5)/((-45)/n)*-6?
6
Let i = 28 - 28. Suppose -7*o - 11 + 95 = i. Suppose 3*x = 2*j + 2*j + o, 4*j = 0. What is the units digit of x?
4
Let m = 2131 - -108. What is the units digit of m?
9
Let y(b) = 6*b**3 - 10*b**2 - 28*b + 339. What is the tens digit of y(9)?
5
Let w(o) = 333*o**2 - 11*o - 16. What is the thousands digit of w(5)?
8
Let w = -11 - 11. Let h = w - -95. What is the tens digit of h?
7
Let u = 2427 + 5562. What is the units digit of u?
9
Suppose 10*r + 11738 = 62258. What is the tens digit of r?
5
Let f be (136/14 + -2)*(3 + -10). Let k be 3*((-564)/9)/4. Let i = k - f. What is the units digit of i?
7
Let g be 6 + -3 + 2*1/(-2). Suppose h - 3*h - 404 = -4*t, -514 = -5*t - g*h. What is the hundreds digit of t?
1
Let b = -9 - -12. Suppose 2*c - b*c = -4*r, 5*c = 4*r. Suppose 2*x - 5*x + 12 = c. What is the units digit of x?
4
Let h(b) = -1411 + b - 4*b + 16*b + 1390 - b**2. Suppose 8 = 2*w, o = -2*w - w + 18. What is the units digit of h(o)?
1
Let v be 39/4 - 24/32. Let h be ((-6)/1)/(v/((-666)/(-4))). Let z = -65 - h. What is the tens digit of z?
4
Let m be -6*((-2)/(-7) + 55/(-70)). Suppose -6 = -3*o + m. Suppose -5*n = -o*y - 38, -5*y = -y - 16. What is the units digit of n?
0
Suppose -14*k = -10*k + 16. Let m = 16 + k. Let y = m + 49. What is the tens digit of y?
6
Suppose h = 4*h + 4*m - 26126, 4*h = -m + 34852. What is the hundreds digit of h?
7
Let h = -2296 + 4480. Suppose 8*s = 12*s - h. Suppose 0*o + 6*o - s = 0. What is the units digit of o?
1
Suppose -5*u - 5*m = 2280, 4*u + 2*m + 330 + 1490 = 0. Let q = 846 + u. What is the units digit of q?
2
Let p = -24 - -79. Suppose -p + 41 = -2*q. What is the units digit of q?
7
Let p(q) = -61*q**3 + 9*q**2 + 3*q + 11. What is the hundreds digit of p(-5)?
8
Suppose 5*r = -u - 24 - 2, 22 = -5*r - 2*u. What is the tens digit of (-1)/(2*r/2412)?
0
Let p(c) = 95*c - 15. Let w be p(4). Suppose -4*a + j + 586 = 0, 375 + w = 5*a - 5*j. What is the tens digit of a?
4
What is the thousands digit of (-4)/18 - (6 - 39890/9)?
4
Suppose -18 = -10*m - 18. Suppose -d + 2*d + 767 = 2*y, -3*y + 4*d + 1143 = m. What is the units digit of y?
5
Suppose 5*a - 3*w = -2*w + 5, -5*a + 5*w = -25. Suppose -2*i = -a*i - 42. What is the tens digit of i + ((-1)/(-1) - -3)?
2
Let c(w) = w**3 - w**2 - 2. Let y be c(2). Let o = -88 - -91. Suppose 1 = y*m - o. What is the units digit of m?
2
Let r(x) = -x**3 - 2*x**2 - 12*x - 26. Let t be r(-8). Suppose 0 = -5*n + 736 + t. What is the units digit of n?
8
Let u(x) = 421*x**3 - 2*x**2 + 1. Let m be u(1). Let y be 1/(3/(4 + 20)). Suppose y*p - p - m = 0. What is the units digit of p?
0
Let o = 5215 + -3553. Suppose 15*p = o + 4128. What is the units digit of p?
6
Let h = -1263 + 2517. What is the thousands digit of h?
1
Suppose -w = -2*x + 863, 0 = 2*x - 5*w - 346 - 529. Suppose 4*v + x = 2226. What is the tens digit of v?
4
Let c(w) be the second derivative of 9*w**3 + 3*w**2/2 - 15*w + 3. Let k(v) = -v**2 + 2*v. Let j be k(1). What is the tens digit of c(j)?
5
Suppose 4*g + 9124 = s, -47*s - 5*g = -51*s + 36474. What is the units digit of s?
6
Suppose 2*c - c - y - 3648 = 0, 5*c + y - 18228 = 0. What is the thousands digit of c?
3
Let o = -135 + 51. Let x be ((-4)/2)/(4 - o/(-18)). Suppose x*m + 4*h + h = 32, -m + h = 0. What is the units digit of m?
4
Let b = -152 + 174. Suppose b*q - 4*q = 5724. What is the tens digit of q?
1
Let k be (-22 + 7)*202/(-5). Let t = k + -364. What is the tens digit of t?
4
Let x = -1591 + 3659. What is the units digit of x?
8
Suppose -127*v + 133*v = 2622. Let y = v + -165. What is the tens digit of y?
7
Suppose 0 = 5*v - 29 - 36. Suppose -4 = -r + 5*p + 4, v = 4*r - p. Suppose -u + 48 = r*h, 5*u - 4*h - 241 = 56. What is the units digit of u?
7
What is the units digit of (-1 - 12/(-18))/((-7)/151452)?
2
Let d be (27*4/(-6))/(-1). Let c be (d/(-36))/(1/(-6)). Suppose -c*g + 9 = 0, 3*r - 265 = 3*g + 23. What is the units digit of r?
9
Let w(i) = -3*i - 9. Let d be w(-3). Suppose 0 = 5*n - 4*t - 1893, 2*n - 3*t + 2*t - 759 = d. What is the hundreds digit of n?
3
Let d(l) = -l**3 - 15*l**2 - 23*l + 9. Let w be d(-10). Let i = w + 447. What is the hundreds digit of i?
1
Let u = -194 - -201. Suppose -11*b - 630 = -2*y - u*b, -2*b = 4*y - 1280. What is the hundreds digit of y?
3
Suppose 26*r + 28*r + 32760 = 58*r. What is the hundreds digit of r?
1
Suppose 28*p + 30400 = 36*p. Suppose 0 = 3*i - 13*i + p. What is the units digit of i?
0
Suppose -4*y + 12446 = 10*y - 2240. What is the hundreds digit of y?
0
Suppose 5*k + 5*l - 1695 = 0, -2*l + 7*l + 1735 = 5*k. Suppose -4*o - k = -1591. What is the units digit of o?
2
Let x = 5438 - 4415. What is the units digit of x?
3
What is the tens digit of (-185 + -8)/(6/(-138))?
3
What is the hundreds digit of (4 + (-2277)/36)*(-13 + 1/1)?
7
Let k be (-2)/(49/(-220) + (-9)/(-45)). Suppose 150 = k*s - 82*s. What is the units digit of s?
5
Let l(g) = g + 4. Let y be l(-10). Suppose 8*r - 5*r = -132. What is the units digit of 4/12*r*y?
8
Let g(i) = i**3 + 5*i**2 - 5*i + 13. Let r be g(-6). Suppose 4*o - 11 = 3*h, -15 = 4*o - r*o. What is the tens digit of (4/(-8))/(h/(-402) - 0)?
6
Let g = 22 + -37. Let t(p) = -p**3 - 13*p**2 + 17*p - 6. What is the tens digit of t(g)?
8
Let r be (-1)/(-3) - (-456)/(-18). Let g be 485/r + -3*2/(-15). Let f = g - -72. What is the units digit of f?
3
Let d(a) = -4 - 2*a**2 + 17*a**2 - 4. What is the tens digit of d(5)?
6
Suppose 351493 = 134*k - 350597 + 24854. What is the units digit of k?
4
Suppose 0 = -2*w + w + 1. Suppose o - 4 + w = 0. Suppose 2*s + o*s = 265. What is the tens digit of s?
5
Suppose -925510 = -92*a + 3*a - 239854. What is the tens digit of a?
0
Suppose -30028 = -3*u + v - 3737, -35040 = -4*u + 5*v. What is the thousands digit of u?
8
Let s(z) = -5*z**3 - 1. Suppose 0*g - 3*g = -4*t + 15, 0 = -4*g - 5*t + 11. Let u be s(g). Let a(l) = l**3 - 2*l**2 + 3*l + 5. What is the units digit of a(u)?
9
Suppose 2*v = -3*v - 675. Let n = 315 + v. What is the units digit of n?
0
Let w(o) = 5*o**3 + 3*o**2 - 2*o. Let q be w(-3). Let j = q + 141. What is the units digit of j?
9
Suppose 2*x + 5*z + 4 = 0, 2*x - 2*z - 24 = -0*x. Suppose -3*u - 2 = -x. Suppose 2*k = 4*c - 18, 3*c - 30 = -u*c + 5*k. What is the units digit of c?
3
Let g = 2033 + 775. What is the units digit of g?
8
What is the tens digit of (-3555)/(-10)*(-15)/((-180)/232)?
7
Let o = -6 - -13. Suppose r - o - 15 = 0. Let a = 9 + r. What is the tens digit of a?
3
Let p = -993 + 1795. Let u = p - 507. What is the hundreds digit of u?
2
Suppose -5*x + 5*k + 150 = 0, -3*x = 3*k - 93 + 27. Let d = 26 - x. Suppose 173 = 3*b + b - 3*c, -2*b + c + 87 = d. What is the tens digit of b?
4
Let c(t) = -14*t + 28 + 68*t - 18 + 5. What is the tens digit of c(7)?
9
Let s(k) = -k**3 - 11*k**2 - 21*k - 11. Suppose -36 = 2*g + 2*g. Let j be s(g). Let a(z) = z**3 - 16*z**2 + 4*z - 9. What is the units digit of a(j)?
5
Suppose 2*u + 139198 = 38*u - 120398. What is the units digit of u?
1
Let t(p) = -p**2 - 12*p - 35. Let o be t(-7). What is the tens digit of 189 - (1 - o/(-4))?
8
Let h(u) = 4*u**2 - 4*u + 2. Let x be h(1). Let z be 31 - 0/((-2)/x). Let m = z + -11. What is the tens digit of m?
2
Suppose -12*b = -2*b + 2240. Let c = 512 + b. What is the units digit of c?
8
Suppose -15 - 5 = 4*o + 4*r, -18 = 3*o + 2*r. Let x = -56 + 53. What is the tens digit of (132/8)/(x/o)?
4
What is the units digit of 0 + (-9 - -9) - -3788?
8
Suppose -2*m - 11 = g + 4, -g - 6 = 5*m. Let p(k) = -k**3 - 22*k**2 - 37*k + 18. What is the hundreds digit of p(g)?
3
Let m be -37 - (-3)/((-3)/1). Let p = m - -42. Suppose a - p*l + 18 = 0, 0*a = 4*a + l - 13. What is the units digit of a?
2
Let y = 210 + -14. Suppose -1494 - y = -10*t. What is the tens digit of t?
6
Suppose 12*p - 18 = 9*p. Suppose -p*v + 70 = -80. What is the tens digit of v?
2
Suppose 1046*d - 104063 = 1027*d. What is the hundreds digit of d?
4
Let f = -67 + 46. Let g(q) = -2*q**3 - 2*q**2 + 2*q - 33. Let u be g(-4). Let b = u + f. What is the tens digit of b?
3
Let b(c) = 1429*c**2 + 1. Let t be b(-1). Suppose -2*m - 4*q = -596, -5*m = -10*m + 5*q + t. What is the hundreds digit of m?
2
Let y(c) be the first derivative of c**4/12 - 8*c**3/3 - 7*c**2/2 + 6. Let u(j) be the second derivative of y(j). What is the units digit of u(12)?
8
Let s(v) = 2*v - 19. Let p be s(11). Suppose -2*f = -5 - p. Suppose f*i = 2*g - 46, -4*g = -3*i - 34 - 73. What is the tens digit of g?
2
Let n(z) = 7 - 8*z**2 + 22*z**2 - 10*z - 15*z - z**3. Suppose 52 = 4*h + 5*y - 7, -7*h = -2*y - 71. What is the tens digit of n(h)?
9
Let t(j) = -736*j + 256. What is the hundreds digit of t(-12)?
0
Let u be 6/4*(-32)/(-6). Let g be 6 + 109/3 - 6/18. What is the units digit of u/4*(g - 1)?
2
Let t = -119 + 140. Let r = 131 + t. What is the units digit of r?
2
Suppose 2*f = 4*f + 4, f + 12 = 2*t. Suppose -23 = b - 2*b - p, t*b - 5*p - 85 = 0. Suppose b = 4*r - 3*r. What is the tens digit of r?
2
Let n(t) = 21*t**3 + 14*t**2 - 16. What is the units digit of n(4)?
2
Let l be -1 + (-5)/(-4) - (-321035)/(-44). What is the tens digit of (-1)/(-11)*2 + l/(-44)?
6
Let m(r) be the first derivative of r**2 - 13*r + 6. Let v be m(11). What is the units digit of (-3)/(v/6) - -15?
3
Suppose d - 3 = -2*b, -3*b + 7*b + d - 9 = 0. Suppose b*o = -4*j + 1336, 6*o - 1336 = -4*j + 2*o. What is the units digit of j?
4
What is the units digit of (-9 + -5341)*(1 - 11/5)?
0
Let r(b) be the third derivative of b**5/20 - b**4/6 - 3*b**3 - 3*b**2 - b. What is the tens digit of r(11)?
0
Let r(n) = -2*n**2 - 4 - n + 3*n**2 + 3*n. Let p = 1459 + -1463. What is the units digit of r(p)?
4
Let x(v) = 16*v + 5*v + 12 - v**3 + 2*v - 21*v**2 + 19. What is the units digit of x(-22)?
9
Let y(l) = -10*l - 1. Let x be y(-1). Suppose 1254 = -3*q + x*q. What is the tens digit of q?
0
Suppose 0 = -3*p + 2*d + 20403, -55*p + 53*p + 13583 = 5*d. What is the thousands digit of p?
6
Suppose -3*u = -t + 2204, 0 = -4*t + 3*u + 8287 + 538. What is the tens digit of t?
0
Suppose 1470 = 3*i + 12. Suppose -189*a + 187*a = -i. What is the tens digit of a?
4
Suppose -9*o + 382 + 275 = 0. Let d = 51 + o. What is the hundreds digit of d?
1
Suppose -17*u + 24*u + 118781 = 20*u. What is the tens digit of u?
3
Suppose 5621 = b - 28*w + 32*w, -5*w - 28155 = -5*b. What is the tens digit of b?
2
Let i(z) = -z**3 + 8*z**2 - 7*z + 7. Let j be i(7). Suppose -j*k + k = -702. Suppose 3*n = -k + 330. What is the units digit of n?
1
Suppose 22*p + 6664 - 13562 = 120064. What is the tens digit of p?
7
Suppose -9008 = -r + 2*g, -36058 = -20*r + 16*r - 5*g. What is the thousands digit of r?
9
Suppose -2*h - 2*i = -373 - 115, -i = 0. Suppose -p + g + h = -27, 2*p - g - 542 = 0. What is the tens digit of p?
7
Let s be (12/18)/(10/45). Suppose -y + m + 34 = -27, -s*y = -2*m - 182. What is the units digit of y?
0
Suppose 0*t - t + 170 = -4*m, -346 = -2*t + 2*m. Let c = -20 + t. What is the units digit of c?
4
Suppose 5*j + 29*j = -j + 165900. What is the thousands digit of j?
4
Let a(d) = -2*d**2 - 56*d + d**2 + 57*d - 13 - d**3. What is the tens digit of a(-8)?
2
Let y(g) = 18*g**2 - 34*g + 758. What is the thousands digit of y(17)?
5
Let k(w) be the third derivative of w**6/120 - 3*w**5/20 + 5*w**4/24 - 7*w**3/6 + w**2 - 706. Suppose -5*j + 2*j + 27 = 0. What is the tens digit of k(j)?
3
Let q(c) = 4*c**3 - 22*c**2 + c - 27. What is the thousands digit of q(13)?
5
Suppose -2*m + 12313 = -6*m + 49809. What is the thousands digit of m?
9
Let f be (-35)/(-14)*12/10. Suppose -n + 28 = f*n. Suppose 0 = n*o + 8 - 281. What is the tens digit of o?
3
Suppose 970 = 5*u + p - 2*p, 3*u = -p + 574. Let w = -126 + u. What is the units digit of w?
7
Suppose 5*r = -4*z + r - 8, 0 = 3*z - 3*r - 18. What is the units digit of (5 - 92/12)/(z/(-51))?
8
Suppose -4*q = -13 - 11. Let s = q + -8. What is the units digit of 1/(-3)*(s + -235)?
9
Let v(q) be the second derivative of -q**4/12 - 4*q**3/3 - 6*q**2 + 7*q. Let a be v(-5). What is the units digit of 8 + -1*(a - 0)?
5
Suppose 8 + 2 = -2*y. Let w be ((-32)/(-6))/(y/(-90)). Let d = 146 - w. What is the tens digit of d?
5
Suppose -4*s = 2 - 10. Let l be (-17)/((-357)/6) - (-26)/7. What is the units digit of (s*(-1)/l)/(2/(-340))?
5
Let m(d) = d - 3. Let n be m(6). Suppose 298 = -5*j + n*g, -5*j - 4*g - 13 - 278 = 0. What is the tens digit of (4 + -1)*j/(-3)?
5
Suppose 2*r + 112 = -4*w, -2*r = -w - 38 + 5. Let t(d) = -5*d + 62. What is the hundreds digit of t(w)?
2
Let h(v) = 2*v**3 + v**2 - v - 7. Let f be h(-3). Let q = f - -47. What is the tens digit of (0 - -99 - 3) + (q - 0)?
9
Suppose 0*h - 416 = -16*h. What is the units digit of 4 + 31/4*(-2 + h)?
0
Suppose 45987 = 28*l + 13871. What is the units digit of l?
7
Let p(a) = -2*a**2 - 5*a + 12. Let v be p(-4). Suppose 3*m = v, 67 = b - 5*m - 75. What is the tens digit of b?
4
Let v = 71 + -33. Suppose -5*i + 4*j + 74 = 0, 2*i - 5*i = 4*j - v. What is the units digit of i?
4
Let v(j) = -1. Let s(i) = -39*i + 9. Let a(h) = -s(h) - 4*v(h). Suppose n - 2 = -0. What is the units digit of a(n)?
3
Suppose -10 = 5*q, 5*n + q + 4*q = -180. Let v = 22 + n. Let h(r) = -r**3 - 10*r**2 + 17*r - 9. What is the tens digit of h(v)?
7
Let x(i) = 6*i**3 - 2*i**2 + 2*i + 2. Let t(q) = q - 9. Let d be t(3). Let y(l) = l**3 + 6*l**2 + 2. Let j be y(d). What is the tens digit of x(j)?
4
Suppose z = -3*d + 9869, -4*z = 514*d - 516*d - 39490. What is the hundreds digit of z?
8
Let t(u) = 1526*u**2 + u + 1. What is the thousands digit of t(-2)?
6
Let c be (-2 - -124)/(-1)*25/10. Let x = -440 - c. Let q = 201 + x. What is the tens digit of q?
6
Let q = 17 + -14. Suppose q*k = 4*k - 3. Suppose -99 = -k*z + 81. What is the units digit of z?
0
Let s = 2 + -10. Let d be ((-2)/4)/(1/s). What is the units digit of d - 4/((-4)/45)?
9
What is the thousands digit of (5 - (-141382)/20) + (-4)/40?
7
Let p = 116 - 114. Suppose 0 = 7*f - p*f - 5*t - 2125, 5*f + t = 2143. What is the hundreds digit of f?
4
Let j = 200 + -197. Suppose -j*m = -2*q - 304, -2*m + q + 233 = 31. What is the hundreds digit of m?
1
What is the tens digit of 13*538 - (17 - (22 + -5))?
9
Let t be ((-20)/8 - 1)*-10. Let l = t + -39. What is the units digit of (-1)/(l/372*1)?
3
Suppose 0*g = 2*g - 4*v - 8, -4 = 5*g - 2*v. Let u(f) = -2*f**3 + f**2 + 9*f + 6. What is the units digit of u(g)?
8
Let s be 10 + -12 + (-2 + 4 - -57). Suppose -y + 219 = -s. What is the hundreds digit of y?
2
Let u(n) = n**3 + 92*n**2 + 4*n - 133. What is the hundreds digit of u(-91)?
7
Let g be -2 + (-92)/(-22) - 16/88. Suppose u + g*f = 85, -u = 2*u + 3*f - 240. What is the units digit of u?
5
Let y be 4/((-4)/(-4)) - -5. What is the units digit of (-1)/(y/51*6/(-342))?
3
Let j = 5564 - -854. What is the units digit of j?
8
Let z = -102 + 184. Suppose -3*m = 3*g, g + 8*m = 3*m. Suppose g = -3*h - 4*j + 126, 0*h = -2*h - 2*j + z. What is the tens digit of h?
3
Let q(c) be the second derivative of -c**5/10 + 31*c**4/12 - 17*c**3/6 + c**2 + 3*c. What is the tens digit of q(14)?
5
Suppose 2*o + 19 = 119. Let p be o*4 + (-12 - -15). Let g = p + -116. What is the tens digit of g?
8
Let r(v) = 241*v**2 - 58*v - 324. What is the tens digit of r(-5)?
9
Let l(c) = 2*c**2 - 35*c. Let v be l(18). Let n = -15 + v. Suppose 4*m = 3*a - 56, -5*a + 42 + 3 = n*m. What is the tens digit of a?
1
Let j = 12 + 17. Let l be (-184)/(-6) - (-4)/12. Suppose -j*i + l*i = 112. What is the tens digit of i?
5
Let w be (-4)/1 + -20 + 610. Suppose 5*z - w = 3*z. What is the hundreds digit of z?
2
Suppose 0 = -5*s + 11 + 19. Suppose 0 = -9*c + s*c - 168. What is the units digit of (-3)/7 + (-3720)/c + -1?
5
Suppose 11*o - 15191 + 3823 = -3*o. What is the units digit of o?
2
Let p = 174 - -177. Suppose -3*a - 3*y + 213 = 0, -4 = -y + 1. Suppose -g = -z - 18 - a, 4*g + z = p. What is the tens digit of g?
8
Let s(o) = 3*o - 12. Let x be s(5). Suppose i + 20 = -3*r - x*i, 6 = -3*i. What is the units digit of ((-9 - r)/10)/((-2)/52)?
3
What is the hundreds digit of ((-8)/10)/(4/(-10)) - (-16296)/8?
0
Let f(b) = 18*b**3 + 4*b**2 + 22*b - 86. What is the units digit of f(4)?
8
Suppose 5*v + 20 = 0, 5*v + 8 = -p - 40. Let w = 85 + p. What is the units digit of w?
7
Let f(w) = -w**2 - 3*w - 38. Let j be f(-12). Let h(l) = -6*l**2 + 3*l + 5. Let n be h(-4). Let m = n - j. What is the units digit of m?
3
Suppose 5*o = -4*r + 14619, -r - 65*o + 3660 = -62*o. What is the thousands digit of r?
3
Let c(q) = q**3 - 7*q**2 - 2*q - 7. Let r be c(6). Let t = r + 24. Let u = -24 - t. What is the units digit of u?
7
Suppose -3*q = 3*f - 900, -q + 2*f + 109 + 176 = 0. Let c = q - 149. What is the units digit of c?
6
Let l = 267 + 72. Let u = l + -16. What is the hundreds digit of u?
3
Suppose 26*p + 5*i = 27*p - 2095, 0 = -3*p - 3*i + 6375. What is the units digit of p?
0
Suppose 1 = -b + 4. Suppose -4*p + 3*u = -0*u - 2, u = -b*p + 8. Suppose -5*o + 5*l = -63 - 52, -116 = -4*o - p*l. What is the tens digit of o?
2
What is the tens digit of (-2 - 1564/8)*(-6 + -42 + 2)?
8
Let t(l) be the first derivative of -9*l**2/2 - l + 73. What is the units digit of t(-7)?
2
Let f(d) be the third derivative of -d**5/60 - 11*d**4/6 + d**3/2 - 3*d**2 - 3. What is the units digit of f(-16)?
1
Let x(r) = -r**3 - 68*r**2 + r + 226. What is the units digit of x(-69)?
8
Let p be 4/(-2)*1*-6. Suppose -189 = p*n - 13*n. What is the units digit of n?
9
Suppose -23*f + 24589 + 107316 = 0. What is the thousands digit of f?
5
Suppose 3*l + 10*z - 28595 = 5*z, -5*l - 5*z + 47665 = 0. What is the thousands digit of l?
9
Let y(g) = 6*g**3 - 7*g**2 - 8*g + 41. What is the tens digit of y(12)?
0
What is the thousands digit of (-4)/(-18)*9/6*24573?
8
Let o be -15*(52/(-20) + 3) - 1. Let w(a) = a + 3. Let m be w(o). What is the units digit of (m + 5)*(4 - -1)?
5
Suppose 3*d + 36 = 5*s + 7, 2*s - 26 = 2*d. Let a = d + 32. What is the tens digit of a?
1
Let w be ((-3)/(-1))/(-4*(-15)/(-520)). Let v(o) = -o**3 - 25*o**2 + 13*o + 13. What is the units digit of v(w)?
1
What is the units digit of (-4)/(-24) + 4/8 + 19146/9?
8
Let t(i) = 69*i**2 + 2*i. Let n = -34 + 45. Suppose 3*k = 3*g + 6, -5*g - k = k - n. What is the tens digit of t(g)?
7
Let z(r) = 26*r**2 - 22. Let p be z(-10). Suppose 1282 = u + 5*x, 2*u + 4*x - p = x. What is the tens digit of u/20 + 4/10?
6
What is the units digit of (-4)/(-7) + (-321946)/(-119)?
6
Let g(b) = -b**3 + 4*b**2 + 8*b - 28. Let t be g(4). What is the units digit of (5 - 1 - t) + -5 + 167?
2
Suppose -6*l = -1684 - 3770. Suppose -5*a + z = -l, 2*a + 10*z - 11*z - 363 = 0. What is the units digit of a?
2
Suppose -17*o + 753 + 777 = 0. What is the tens digit of o?
9
Let q be (-6237)/(-72) - 6/(-16). Suppose 0 = -11*z - q + 406. What is the units digit of z?
9
Let z(r) = -5*r - 19. Let c be z(-5). What is the units digit of 4*10/c*(1 - -5)?
0
Suppose 5*d + 5*z = 25045, 5*z - 553 = -4*d + 19484. What is the tens digit of d?
0
Suppose y = 6*y - 2775. Let r = 822 + -798. What is the units digit of (16/r)/((-5)/(y/(-2)))?
7
Suppose 0 = -196*l + 931306 + 76557 + 32505. What is the units digit of l?
8
Suppose 5*m - 102 = -17. Suppose f = 12 + m. Suppose 0 = 5*k + f - 74. What is the units digit of k?
9
Let m = 101 + -97. Suppose 0 = -m*g + 4*l + 48, -4*g + 40 = -0*l - 2*l. What is the units digit of g?
8
Let j(k) be the first derivative of -7 + 1/4*k**4 + 20*k + 8*k**2 + 6*k**3. What is the units digit of j(-17)?
7
Let k(m) = -77*m - 18. Suppose -f = 4*o + 22, 5*o - 7*f = -9*f - 26. What is the hundreds digit of k(o)?
4
Let z = 9305 + -6574. What is the units digit of z?
1
Suppose -32 = -2*m - 3*w, 0 = -3*m + 3*w - w + 35. Let t = -35 + m. What is the tens digit of 3 + (-1778)/t - (-4)/22?
8
Suppose -16*n - 2*b = -19*n + 14857, 0 = -4*n + 3*b + 19808. What is the units digit of n?
5
Let r = 67 - 101. Let i be (7 + (-469)/(-35))*-5. Let f = r - i. What is the tens digit of f?
6
Suppose -3*l + 4*a + 358 = 0, -5*a + 234 - 712 = -4*l. Suppose 44 = -2*s + l. What is the units digit of s?
9
Let r = 63 + 110. Suppose a = -5*y + 4*a + 401, 2*y + 3*a - r = 0. What is the tens digit of y?
8
Let w(n) = 795*n - 223. What is the thousands digit of w(2)?
1
Let a(y) = 6*y**3 - 4*y**2 - y - 11. Let w be a(-4). Let u = 790 + w. What is the tens digit of u?
3
Suppose 17*j = -11*j + 56140. What is the units digit of j?
5
Suppose 5*k + 29685 - 78065 = 0. What is the units digit of k?
6
Suppose 12 + 3 = 4*h + 5*f, 0 = h - f - 6. Suppose h*r = -10 + 45. What is the units digit of r?
7
Let b(i) = i**3 + 3*i**2 - 3*i + 7. Let f be b(-4). Suppose -f = -3*t + 2*j + j, -j = -4. Suppose -7 - 108 = -t*d + a, a - 29 = -d. What is the tens digit of d?
2
Let w = -27 - -30. Let t(u) = -5*u**2 + 5*u**2 + 3*u**w + 5 - u - 3*u. What is the tens digit of t(2)?
2
Suppose o + 12 = -4*a - 24, 0 = 3*a - 2*o + 38. What is the tens digit of 77572/220 + 6/a?
5
Let c(y) = -156*y - 2052. What is the thousands digit of c(-68)?
8
Let q(o) = -402*o - 1. Let w be q(-1). Let k = -100 + w. What is the tens digit of k?
0
Suppose 0 = -2*w - i + 56, -2*i - 56 - 42 = -3*w. Let s = -26 + w. What is the tens digit of (-2*(-22)/s)/(4/16)?
4
Let i = -4879 - -1649. Let a be 1*-3 - 0 - i/5. Suppose -8*s + 149 + a = 0. What is the units digit of s?
9
What is the tens digit of 8516 - ((-20)/6 + (-8)/(-24))?
1
Let d(p) = -p**3 + 10*p**2 - 5*p + 9. Let k = 52 + -48. Suppose -5 + 37 = k*v. What is the units digit of d(v)?
7
Let n(h) = h**2 - 13*h - 1009. What is the units digit of n(-48)?
9
Let d(b) = 10*b**2 - 14*b + 5. Let l be d(10). Suppose 2*t + 2*y - l = -21, -2*y = 0. What is the units digit of t?
2
Let n = 37 - 28. Let o be (n/6)/(1*(-3)/12). What is the units digit of o/(-2)*222/18?
7
What is the tens digit of (9/7)/(51/2142)?
5
Let j(w) = -w**2 - 26*w + 39. Let p be j(-27). Suppose 4*v - 762 = -2*n, -411 = -2*v - 7*n + p*n. What is the hundreds digit of v?
1
Let x = 23 - 20. Suppose 0 = -6*w + x*w + 150. Let a = 142 - w. What is the units digit of a?
2
Let g be 261 - ((-1)/3 + 5/15). Let c = 444 - g. What is the hundreds digit of c?
1
Let u = 7084 + -1284. What is the thousands digit of u?
5
Let b(u) = u**3 - 6*u**2 - 21*u + 15. Let k(s) = s + 1. Let i(c) = -b(c) + 4*k(c). What is the tens digit of i(8)?
6
Suppose -5*d - u + 743 = 0, u + 280 = 4*d - 309. Suppose -80 = -4*k + d. Suppose 3*z - k = 2*z. What is the units digit of z?
7
Let i be (-3)/(-1) + 5/15*0. What is the tens digit of (-10)/i*7866/(-95) + 4?
8
Suppose -3*g + 8 = -r, -4*g - 16 = -3*r - 5*g. Suppose a + 0 = -3*i - 4, 4*i = -4*a. Suppose a*x - 194 = j, 102 = 2*x - r*j - 98. What is the units digit of x?
6
Let d(z) = -6*z - 3*z + 5 - 9*z - z**2. What is the units digit of d(-15)?
0
What is the units digit of 4*16/(704/62073)?
3
Let f(s) = 229*s + 410. What is the thousands digit of f(3)?
1
Suppose -4*o - 37 + 45 = 0. Suppose 0 = -i - d + 4*d + 337, 0 = -o*i - 2*d + 666. What is the hundreds digit of i?
3
Let t = 499 - 325. Let j = -4 + 8. Suppose 0 = 2*y - j*y + t. What is the tens digit of y?
8
Let r(j) = -9*j + 74. Let x be r(6). Suppose -1085 = -x*c + 7915. What is the tens digit of c?
5
Let j(k) = -k**3 - k**2. Let p(y) = 4*y**3 + 3*y**2 - 2*y - 293. Let s(w) = -3*j(w) - p(w). What is the tens digit of s(0)?
9
Let b = -43 + 23. Let g = b - -24. What is the units digit of (-2)/(-3)*474/g?
9
Let l(p) = -p - 28. Let q be l(-7). What is the hundreds digit of q*10/15*(-39)/2?
2
Let w(c) = 119*c**2 - 53*c - 224. What is the thousands digit of w(-4)?
1
What is the tens digit of (-35)/(-28) - (-30807)/4?
0
Suppose 4*k + 13*y - 10*y - 8598 = 0, -y = 5*k - 10753. What is the thousands digit of k?
2
Let g(c) = -c**3 + 11*c**2 - 18*c + 9. Let d be g(9). Suppose d*n - 700 = 5*n. What is the units digit of n?
5
Let r(l) be the third derivative of -67*l**6/720 - l**5/40 + 11*l**4/24 + 3*l**2. Let t(z) be the second derivative of r(z). What is the units digit of t(-1)?
4
Let k = 15359 - 9530. What is the units digit of k?
9
Suppose -8 = -h - 3*g, h - g = -4*h + 24. Suppose -h*a + 0*m - 2909 = m, -2*a - 1168 = -4*m. What is the units digit of 2/3*a/(-4)?
7
Let t(j) = 106*j**2 - 25*j + 33. What is the tens digit of t(9)?
9
What is the thousands digit of ((-45)/(-60)*633)/(6*3/240)?
6
Suppose 5*x + 51 = 8*x. Let h = x + -13. Suppose 0 = -3*n + 173 + h. What is the tens digit of n?
5
Let s = -27 - -44. Suppose 11*c + 1650 = s*c. What is the units digit of c?
5
Let f(c) = -144*c + 12. Let w be 2 + (-10)/3 - 10/6. What is the hundreds digit of f(w)?
4
Suppose 308*j - 312*j - 1664 = -4*s, 3*s - 1246 = j. What is the hundreds digit of s?
4
Let u(p) = -p**2 + 3. Let v be u(-3). Let q = v + 9. Suppose -q*s - 2*z = -56, 6*s + 5*z = 4*s + 19. What is the tens digit of s?
2
Suppose 5*f = 25 - 15. Suppose -4*i + 60 = -f*i. Let g = 89 - i. What is the tens digit of g?
5
Let q = -7725 + 11898. What is the tens digit of q?
7
Suppose 6*y - 77 - 307 = 0. What is the units digit of (10704/y)/((-6)/(-8))?
3
Let u be 336/(-11) + (-6)/(-11). Let i = u + 123. What is the units digit of i?
3
Suppose -15*n + 11*n = -100. Let j = -21 + n. Suppose 0 = -2*u - 4*f + 54, 7*u - 2*u = j*f + 65. What is the tens digit of u?
1
Let t(d) = -996*d + 34. What is the thousands digit of t(-9)?
8
Let t(o) = o**2 - 5*o - 9. Let h be t(-3). Suppose -4*b + 9 + h = -5*c, -3*b + 3*c = -15. Let x(s) = 56*s**2 - 3*s + 1. What is the units digit of x(b)?
4
Suppose 140 = -d - 5*h, -h - 444 = 3*d + 2*h. Let s = 372 + d. What is the hundreds digit of s?
2
Suppose 4*k - z + 71 = 0, k + 20 = -0*z - 2*z. What is the units digit of k/(-150)*5*215?
9
Let a(r) = -r**3 + 19*r**2 - 4*r - 1. Suppose 34*p + 270 = 49*p. What is the units digit of a(p)?
1
Let k(t) = 1 - 1 - 390*t**3 - 2*t - 1 - 303*t**2 + 302*t**2. What is the units digit of k(-1)?
0
Suppose 2*d = -d + 9. Let i(x) = -x - 37. Let n be i(-42). Suppose -19 = 4*z - 5*u - 51, d*u = -n*z + 40. What is the units digit of z?
8
Let c(l) be the first derivative of 3*l**7/28 + l**6/180 - l**4/12 - 17*l**3/3 + 11. Let m(g) be the third derivative of c(g). What is the units digit of m(1)?
0
What is the units digit of (1*-25)/(((-324)/(-4632))/(-27))?
0
Let a(v) be the second derivative of v**4/3 - v**3/6 - 5*v**2/2 + 10*v. Let r be a(4). What is the tens digit of 2/(-8)*(r - -3)*-2?
2
Let d(s) = 2*s**3 - 11*s**2 - 9*s - 9. Let f(y) = -y**3 + 5*y**2 + 4*y + 4. Let h(g) = -3*d(g) - 7*f(g). Let a = -180 + 184. What is the tens digit of h(a)?
2
Suppose -5*k - k = -24. Let p be ((-12)/k)/((-3)/8). What is the tens digit of ((-85)/(-20))/(2/p)?
1
Let q = -123 + -22. Let d = 220 + q. What is the tens digit of d?
7
Let i(u) = -u**3 - 6*u**2 - 8*u - 9. Suppose -r = -5*r - 12. Let c be (-3 + (6 - r))*(1 + -2). What is the units digit of i(c)?
9
Let i(u) = -123*u**3 - 5*u**2 + 15*u + 1. What is the tens digit of i(-4)?
3
Suppose -x - x - 154 = 0. Let u be 7 + (7 - (-4 + 117))/2. Let i = u - x. What is the tens digit of i?
3
Suppose 19659 = 3*d - 27*y + 28*y, 0 = -d - 5*y + 6539. What is the tens digit of d?
5
Let k = 9863 + -3980. What is the thousands digit of k?
5
Let i(x) be the second derivative of x**5/20 + 3*x**4/2 + x**3/3 + 20*x**2 + 16*x. Let n be i(-18). Let q(j) = 18*j + 8. What is the tens digit of q(n)?
8
Suppose 4*h - 3*h - 5*g - 14 = 0, -5*h = -5*g - 10. What is the tens digit of (h - (-6)/(-8))/(2/(-48))?
4
Suppose 4*i + k + 27 = 0, 2*i + 31 = 11*k - 8*k. What is the hundreds digit of 3 + (-13)/4 + (-3690)/i?
4
Let k(f) = -5*f**2 - 24*f + 7. Let a be k(-9). Let z = -83 - a. What is the tens digit of z?
9
Let s(q) be the third derivative of q**5/60 - 7*q**4/24 + 7*q**3/6 + 17*q**2. Let t be s(6). Suppose -101 + t = -5*h. What is the units digit of h?
0
Suppose -29162 = 2*v - 7*v + 18368. What is the tens digit of v?
0
Let o(i) = -i**3 - 7*i**2 - 5*i + 7. Let q(l) = -4*l**2 - 5*l - 2. Let m be q(-2). What is the tens digit of o(m)?
1
Let i be (-12)/9 - (-4404)/36. Let g = i - -28. What is the units digit of g?
9
Suppose -59280 = 81*l - 74412 - 161367. What is the tens digit of l?
7
Suppose d - 3*h - h = 6741, -3*h = 5*d - 33751. What is the hundreds digit of d?
7
What is the thousands digit of (-2)/8*(8 + -39472)?
9
Let f = -141 + 148. Suppose -6*h + f*h - 2*v = 411, 0 = -2*v + 8. What is the tens digit of h?
1
Suppose 4 = 8*x - 12. Suppose -b - m = -119, 4*m = -x*b - b + 361. What is the tens digit of b?
1
Let o be 4 - ((-2)/6)/(-1)*-3. Suppose 3*m + o*m - 16 = 0. Suppose m*w - d = 201, -2*w = 3*d + d - 186. What is the units digit of w?
9
Suppose 0 = -2*q - 3*q - 2*s + 35069, -12 = 4*s. What is the tens digit of q?
1
Suppose -4*o + 79 + 57 = 5*j, 0 = 2*o - 8. Let b be 64/j*9/6. What is the units digit of 8*b/12 - (-2)/6?
3
Let b(o) = 42*o**3 + 2*o**2 - o. Let q be b(1). Let u = q + 259. What is the tens digit of u?
0
Let s(q) = 12 - 2 - 70 + 26*q - 14. What is the units digit of s(5)?
6
Let o(u) = u**3 + 13*u**2 + 12*u. Let r be o(-12). Let q(i) = -i**3 - 2*i**2 + i + 143. What is the hundreds digit of q(r)?
1
Let b = -42 + 495. Let r = -192 + 192. Suppose 5*v + r*d + 4*d = b, -4*d - 105 = -v. What is the tens digit of v?
9
Suppose -12*a = -4665 - 3651. What is the hundreds digit of a?
6
Let m = -73 + 77. Suppose -n = 2*n + q - 999, -3*q = m*n - 1337. What is the tens digit of n?
3
Let y(r) = -r**3 - 5*r**2 + 9*r + 21. Let c be y(-6). Suppose c*v + 62 = 5*t + 2, -3*v + 48 = 4*t. Suppose -3*b = -t - 159. What is the units digit of b?
7
Let h be ((-2965)/(-20) - (-1)/(-4)) + -1. Let d be (-2)/12 + h/18. Suppose d*a - 9 - 23 = 0. What is the units digit of a?
4
Let p(x) = -x**2 - 47*x - 7. Let h be p(-37). Suppose m - 90 = h. What is the hundreds digit of m?
4
Let x(l) = 171*l**2 + 9*l - 17. What is the hundreds digit of x(2)?
6
What is the thousands digit of (-268338)/56*12/(-9)?
6
Let z = 1340 - -5374. What is the tens digit of z?
1
Let u be (5/(25/(-4)))/((-2)/30). Let h be 25/(-20) - (-3)/u. What is the tens digit of (-5776)/(-72) - h/((-9)/2)?
8
Suppose 17*o - 18*o = 5*g - 5882, 11736 = 2*o + 3*g. What is the thousands digit of o?
5
Let j = 28 + -26. Suppose 0 = 4*l + y - 19, 0 = -j*l - 2*l + 5*y + 1. Suppose -l*m + 272 = -0*m. What is the units digit of m?
8
Let x = -209 - -200. Let i(k) = -2*k**3 - 13*k**2 + 2*k + 15. What is the tens digit of i(x)?
0
Suppose -44*p = -89*p + 471239 - 117269. What is the units digit of p?
6
Suppose -w - 17 = -98. Let l = -56 + 69. Let g = w + l. What is the tens digit of g?
9
Let v(x) = -2*x**3 - 2*x**2 + 12*x + 15. Let w be v(-10). Suppose -663 + 2790 = 5*p + 4*n, n = -4*p + w. What is the hundreds digit of p?
4
Let a = -165 - -150. Let r(i) = -2*i**3 - 27*i**2 + 21*i + 5. What is the tens digit of r(a)?
6
Suppose -4*d + 15495 = 3*a, 3*a - 7*d = -5*d + 15477. What is the tens digit of a?
6
Let g(n) = -n + 10. Let o be (-9)/(-12) - (-58)/8. Let r be g(o). What is the units digit of (5/(25/10))/(r/17)?
7
Suppose -5*h + 10 = 40. What is the units digit of 519/21 - (h - (-80)/14)?
5
Suppose 2*x = 5*v + 251, 567 - 7 = 5*x + v. Suppose -3*m = 4*i - 77, 5*i + x = 2*m + 2*m. What is the units digit of m?
7
Suppose 0 = -4*a + 6*a - 68. Let r = -39 + a. What is the units digit of (-6)/15 - (3 - (-482)/r)?
3
Suppose 4*f - 6*w - 5936 = 0, f + 3*f - w - 5956 = 0. What is the tens digit of f?
9
Let y = 745 - 335. Let n = y + -198. Suppose -2*q + 5*v = -108 - 72, -2*q - 3*v = -n. What is the tens digit of q?
0
Let d(c) = 83*c - 2. Let z be (-7)/(-1)*18/42. Suppose z*r = -3, -2*r = 3*j + 3*r + 2. What is the tens digit of d(j)?
8
Let g(r) = 1095*r + 119. What is the thousands digit of g(8)?
8
What is the hundreds digit of 19660/2 - (-33 + 37)?
8
Suppose -24*x + 81*x - 218764 = 31*x. What is the units digit of x?
4
Let t be 35 - 36 - (0/1 - 10). Suppose t + 171 = 4*d. What is the tens digit of d - (-1 + (5 - 4))?
4
Let k be -10 + -1 + 4 + 2. What is the units digit of (2 - (-361)/k)/(5/(-25))?
1
Suppose -f = 0, -2*u = -8*f + 7*f. Suppose u = 5*t - 380 - 640. What is the units digit of t?
4
Let h be 1/((-3)/228*-4). Let q = -10 - h. Let z = 40 + q. What is the units digit of z?
1
Let k be (-5 - -5) + -6 - -233. What is the hundreds digit of k + (8 + -4 - 10)?
2
Let z be (23 + -22)/((-2)/16) + 4. Let o(j) = -4*j**3 - j**2 - 7*j - 14. What is the hundreds digit of o(z)?
2
Suppose x = -5*n + 284, -3*x + 4*n + 1391 = 2*x. Let j = -101 + x. What is the tens digit of j?
7
Let t be 2/(-1 + -1) + -2 + 6. Suppose 4*k = t*a - 467, -3*k - 455 = -3*a - 5*k. What is the units digit of a?
3
Let x(y) = -y**2 - y - 737. Let z be x(0). What is the units digit of 3 + z/(-4) - 5/20?
7
Let r = 6819 - 4086. What is the tens digit of r?
3
Let m(o) be the second derivative of 2*o**4/3 + o**3/3 - 5*o**2 - 28*o. What is the units digit of m(6)?
0
Let c = -3 + 23. Suppose 3*n - 14 = 31. What is the tens digit of 7/((-14)/(-144))*n/c?
5
What is the units digit of 245/10*2360/70?
6
Let b = -49 - -20. Let c = b - -56. What is the tens digit of c?
2
Suppose t = -3*t + 1804. Suppose -2*i = -67 - t. What is the hundreds digit of i?
2
Let r = 9 + -6. Suppose -4*d + 1324 = r*y, 53 - 1385 = -4*d - 5*y. What is the tens digit of d?
2
What is the units digit of (-124)/3*(-19 + 16)?
4
Suppose -4*t + 0*t - 16 = 0, -1810 = -2*g - 4*t. Suppose -g = -20*l + 3667. What is the hundreds digit of l?
2
Suppose -3*a = -6*a - 2*b + 4, -3*b = 2*a - 6. Suppose a = -y - r + 428, 0 = 5*y - 2*r - 2*r - 2185. What is the tens digit of y?
3
Suppose -5*z + 0*l = 4*l + 5, 0 = 2*z + 3*l + 9. Suppose -4*p - 360 = -2*h, -z*h + 2*p + 544 = -3*p. What is the units digit of h?
8
What is the thousands digit of -19142*(-5)/50*5 + 12/2?
9
Let j(f) = -f**3 + 7*f**2 + 10*f - 4. Let k be j(7). Let l = 330 + k. What is the hundreds digit of l?
3
Let u(q) = -2*q + 2. Let j be u(-1). Suppose 0 = k - 4*z - 412, -4*k = k + j*z - 1988. What is the units digit of k?
0
Let d = -13802 + 20675. What is the thousands digit of d?
6
Let g(p) be the first derivative of 47*p**2 - 50*p - 76. What is the units digit of g(5)?
0
Suppose 2*l + 2*a - 26 = 0, 0 = -3*l - 0*a + 4*a + 11. Let y be ((-6)/l)/(1/(-147)). What is the units digit of (-654)/(-7) + (-42)/y?
3
Let d be (3 + 21/(-14))/(1/2). Suppose 8 + 2 = 2*g, -d*g + 1655 = 5*j. What is the tens digit of j?
2
Let v(r) be the third derivative of r**6/120 + 3*r**4/8 + 305*r**3/6 + 38*r**2. What is the tens digit of v(0)?
0
Suppose -4*n = l - 3, -5*l = 3*n - 4*l - 1. Let b(o) = o**3 - 4*o**2 + o + 2. Let d be b(6). Suppose n*v = v + d. What is the tens digit of v?
8
Suppose 2*p = 2*l - 2, 0*l + 3*p = -4*l - 17. Let z be (l - -1) + (6 - 5). Suppose -k + 63 = 4*s - 6*k, -s - 4*k = z. What is the units digit of s?
2
Let g(b) = b**3 - 3*b**2 + 14. Let k be 0*4/16*-1. What is the units digit of g(k)?
4
Let c(l) = -l**3 + 3*l**2 + 7*l - 5. Let t be c(4). Suppose 9*o - 278 = t*o. What is the units digit of (-3)/(-6)*((o - -3) + 0)?
1
Let x(a) = -80*a - 8 + 77*a - 4. Let s be x(-13). What is the units digit of 1/(-9)*2 - (-1842)/s?
8
Let p be 2251 - (-12)/(-54)*(7 - -2). Suppose p = 8*f + 89. What is the units digit of f?
0
Let i be (0 + -1)/(7*(-7)/12152). Suppose 0 = 2*w - 5*w - t + 7, 2*w = 5*t + 16. Suppose 0 = w*r + 5*l - i, 4*r + 4*l = 9*l + 319. What is the units digit of r?
1
What is the thousands digit of 674*(-12 - (-450)/20)?
7
Suppose 0 = 4*y - 257*u + 255*u - 17570, 5*y = -5*u + 21955. What is the thousands digit of y?
4
Suppose -r + 2 = 0, -2*s + 121 = -2*r - 315. What is the hundreds digit of (2 + s/12)*(-3 + 21)?
3
Let w(x) = -x**2 + 23*x - 43. Let p be w(21). What is the units digit of 113/(-2)*(-5 - p)?
6
Let n = -129 - -132. Suppose 0*g + 15 = 3*g. Suppose -k - 74 = -2*p + 2, -n*p + 140 = g*k. What is the tens digit of p?
4
Let q(j) = 99*j - 18. Let t be q(8). Suppose -t = -22*d + 13*d. What is the tens digit of d?
8
Let k(b) = -b**2 + 15*b + 25. Let z be k(12). Suppose -8*w + z = -3. Suppose 0 = 6*t - 2*t - w. What is the units digit of t?
2
Suppose -10 + 4 = 2*j. Let u be -4*(-8 - (-9 - -4)). What is the tens digit of (u/14)/j + (-135)/(-7)?
1
What is the hundreds digit of (1/2*9 + -6)*-386?
5
Let j(a) = -913*a - 1000. What is the thousands digit of j(-6)?
4
Let u = -13400 - -20893. What is the thousands digit of u?
7
What is the tens digit of (2035/20 + (1 - 0))*(-4316)/(-83)?
4
Suppose m - 2815 = 2*i - 15742, 0 = i - 5*m - 6450. What is the tens digit of i?
6
What is the units digit of (-99)/(-2)*(8 - -74 - 16)?
7
What is the units digit of 118944/189*3/4*7?
4
Let l = -14 - -15. Suppose 12*t - 8*t - 164 = 0. Let s = t - l. What is the tens digit of s?
4
Let t(b) be the third derivative of 139*b**6/60 + b**5/60 - b**4/12 + b**3/3 - 72*b**2. What is the hundreds digit of t(1)?
2
Let r(b) = -603*b - 545. What is the thousands digit of r(-12)?
6
Let y be ((-18)/63)/(8/14)*6. What is the hundreds digit of 4 - (1/y*-3 + -132)?
1
Suppose -3*h = 11*h - 19572. What is the units digit of h?
8
Let y(s) = 3*s**2 + 143*s - 266. What is the units digit of y(-65)?
4
Suppose 28*d - 49*d - 7*d + 263340 = 0. What is the thousands digit of d?
9
Suppose 0 = -z - 3*c + 7*c + 86, -5*z - 4*c + 406 = 0. Suppose -k = 2*b - 73, k - 3*k - z = -2*b. What is the units digit of b?
8
Let n(y) = -3*y**3 + y**2 + 3*y + 1. Let k be n(-2). Suppose 1 = 4*b - k. Suppose -102 = b*p - 288. What is the tens digit of p?
3
Let p(q) = -49*q - 19. Let u be p(-6). Suppose -5*y + 3*w + 277 = 0, 7*y - 5*w = 2*y + u. What is the units digit of y?
6
Let d(w) = 6*w**3 - 3*w**2 - 11*w + 6 - 17*w**3 + 10*w**3. What is the units digit of d(-5)?
1
Let g(b) = 2*b**2 - 4*b - 8. Let q be g(-2). Suppose 3*c - q*c - 4*o + 978 = 0, -c - 2*o + 198 = 0. What is the units digit of c?
4
What is the hundreds digit of (2/9)/((-6)/(-108)) - -3628?
6
Let b = 4139 + -1963. Suppose 3*y = -8*w + 3*w + 1317, b = 5*y + 2*w. What is the tens digit of y?
3
Let i be 6/(-6)*-81 + -5. Suppose -4*o + i = -2*m - 408, -5*o + m + 602 = 0. What is the hundreds digit of o?
1
Let a(y) = -54*y + 4. Let k be a(-9). Let r = k - 92. What is the units digit of r?
8
Let p = 9230 + -2450. What is the units digit of p?
0
Let q(t) = 204*t**3 - t**2. Let m = -42 + 43. What is the hundreds digit of q(m)?
2
What is the hundreds digit of 2*258/(-12)*-1*149?
4
Let f(z) = 2*z**2 - z. Let i be f(5). Suppose -24 = -0*x - 6*x. Suppose -x*t + i = -t. What is the tens digit of t?
1
Let t(z) = -z**2 - 28*z + 170. Let d be t(-31). Suppose -2*s - 6 = -3*b, 5*s = s + 12. Suppose -3*w = -b*w + d. What is the tens digit of w?
7
Suppose -3601*p - 76725 = -3612*p. What is the thousands digit of p?
6
Suppose -3*g + 2*r - 1409 = 0, 3*g = 2*g + 2*r - 463. Let y = g + 879. What is the tens digit of y?
0
Let c be 182 + (-4)/(-12)*0. Let g = -48 + c. Let s = -86 + g. What is the units digit of s?
8
Suppose 0 = -5*a - q + 18280, 4*a + 3*q - 7*q - 14648 = 0. What is the units digit of a?
7
Suppose -50*m + 53*m = 3381. Suppose -4*b = -i - m, -4*i + 12 + 8 = 0. What is the hundreds digit of b?
2
Let k(n) = -13*n**3 + 12*n**2 - 41*n + 10. What is the tens digit of k(-6)?
9
Suppose -7*z - 100 = -n - 10*z, -4*n = z - 345. Let k be -39*(4/(-3) + 1). Let v = n - k. What is the units digit of v?
2
Let a(f) = 188*f**2 - 64*f + 32. What is the tens digit of a(6)?
1
Let q(i) = 44*i**2 + 41*i + 39. What is the units digit of q(6)?
9
Let v(o) = 4582*o - 149. What is the thousands digit of v(2)?
9
Let r(c) = 2*c + 3. Let u be r(-2). Let o(f) be the third derivative of 41*f**5/60 + f**4/24 + f**3/3 - 30*f**2. What is the tens digit of o(u)?
4
Let v(u) = 6*u**3 - 58*u**2 + 5*u - 24. Let c(a) = a**3 - 12*a**2 + a - 5. Let y(r) = 11*c(r) - 2*v(r). What is the tens digit of y(-17)?
6
Let t = -6757 - -11515. What is the tens digit of t?
5
Let t(r) = r**2 + r - 11. Let u(y) = -143*y - 1. Let b be u(1). Let i be b/(-14) - 8/28. What is the tens digit of t(i)?
9
Let w = 425 - 274. Suppose -w = 4*f - 831. Suppose 6*j + f - 608 = 0. What is the units digit of j?
3
Let x be -2 - 0 - (-24 - -5). What is the hundreds digit of 585/45*1*x?
2
Suppose -48*a + 281311 + 77825 = 0. What is the hundreds digit of a?
4
Let p(x) = -17*x + 2. Let m be (0 + 1)/(-1*6/78). What is the hundreds digit of p(m)?
2
Let f be (-92640)/64*(-8)/10. Suppose -4*x + f = -406. What is the units digit of x?
1
Suppose 6*u = -13*u + 213405 - 36724. What is the tens digit of u?
9
Let p = -8931 - -17191. What is the thousands digit of p?
8
Let c(x) = 24*x - 43. Let d be c(2). Suppose -d*y + 28*y = 9223. What is the units digit of y?
1
Let o = 47 + -47. Let x(v) = -4*v - 23. Let w be x(o). Let u = w + 48. What is the tens digit of u?
2
Suppose -25 = 5*f, -2*f - 588 + 3478 = 2*c. What is the tens digit of c?
5
Let a(p) be the second derivative of p**4/4 - 5*p**3/6 + 2*p**2 - 9*p. Let m be a(2). What is the units digit of 2/4 + 303/m?
1
What is the tens digit of (2/8 + (-81246)/(-8))/(868 - 866)?
7
What is the thousands digit of ((10/25)/(6/15))/(3/12306)?
4
Suppose 5*r - 3 - 6 = 4*c, 3*r = 15. Suppose -2*w = -c*d + 870, -3*d + 8*d - 1090 = 2*w. What is the units digit of d?
0
Suppose -5*d + d + 745 = 5*k, 13*k - 425 = -2*d. What is the units digit of d?
0
Let g = -1 - -1. Let b = -390 + 392. Suppose -2*i + q = -60, -b*i - 3*q = -g*q - 60. What is the units digit of i?
0
Suppose 13*b = -5*y + 11*b + 12370, -4*y - b = -9899. What is the units digit of y?
6