 54. Let w = 212 - x. What is the units digit of w?
1
Suppose 0 = -4*o - s + 29726, 57*s - 54*s = 6. What is the units digit of o?
1
Suppose o = 4*t - 109, -3*t + 104 = -3*o + 2*o. Let r = 91 + o. What is the units digit of (-506)/(-12) + r/(-12)?
2
Let h(i) = 24*i**3 + 4*i**2 - 3*i + 13. Suppose -5*m - 2*j = j - 30, 0 = -m - 2*j + 13. Let q be h(m). Suppose 2*a = 6*a - q. What is the units digit of a?
2
Let k(g) = -g**3 - 7*g**2 + 9*g + 17. Let a be k(-8). Suppose i + 7 = a. Suppose -5*d = n - 554, -i*d - 5*n = d - 328. What is the hundreds digit of d?
1
Suppose 175*b + 662 = 176*b. Let q = 1040 - b. What is the tens digit of q?
7
Let r be (-4)/(-2) + 73 - (28 + -27). Suppose 3*h + 5*j - r = 4*j, -4*h = 5*j - 84. What is the units digit of h?
6
Let n(b) be the first derivative of 1/2*b**4 + 1 + 2/3*b**3 - 3*b + 5/2*b**2. What is the tens digit of n(3)?
8
Let u(c) = -2*c**3 - c**2 + 1. Let q be (-13 + (-2)/(-2))*-2. Suppose 4*h - 3 = -w - 2, 0 = -h - 5*w + q. What is the units digit of u(h)?
2
Let r(z) be the second derivative of 5*z**4/12 - 19*z**3/6 + 8*z**2 + 72*z. What is the units digit of r(-9)?
2
Let q be 3/(30/(-1816))*(-12 - -2). Let y = q + -840. What is the units digit of y?
6
Let f(m) = -86*m + 99. Let h be f(-7). Let l = 1154 - h. What is the units digit of l?
3
Let y be (12/20)/(0 - (-3)/15). Suppose -3*m - 3*r = 222, -y*m + 4*r = 6*r + 227. Let q = 136 + m. What is the units digit of q?
7
Suppose 3*c - 5186 = -4*u, -450 - 1270 = -c + 3*u. Let k = 2460 - c. What is the units digit of k?
4
Let u(o) = 7*o**3 - 16*o**2 - 83*o - 85. Let s(p) = -11*p**3 + 24*p**2 + 124*p + 127. Let l(q) = 5*s(q) + 8*u(q). What is the hundreds digit of l(17)?
8
Suppose -18324 = -2544*l + 2540*l. What is the tens digit of l?
8
Let x be ((-14)/10)/(4/(-20)). Suppose -z + 6*z - 1080 = 0. Suppose 0 = x*j - z - 162. What is the tens digit of j?
5
Suppose -8*f + 4*f = -36. Suppose v = 1, -v + f + 12 = 5*d. Suppose 0 = -7*n + 171 + d. What is the tens digit of n?
2
Suppose 6*z + c = 7*z + 2, z + c - 2 = 0. Suppose -4*b + 4*g + 1504 = z, -5*b + 3*g + 287 = -1587. What is the hundreds digit of b?
3
Suppose -5*o = -4*l + 39408, 2*o = -269*l + 274*l - 49277. What is the tens digit of l?
5
Suppose 0 = 5*h - 3*z - 51501, -63*h - 30947 = -66*h - 4*z. What is the units digit of h?
5
Let u(h) = 8*h**3 - 5*h**2 + 58*h + 11. What is the thousands digit of u(15)?
6
Let g = 10 + 158. Suppose q - 203 - g = 0. What is the tens digit of q?
7
Suppose -16*j + 128 = 16*j. Suppose 2 = g, 0 = -l + j*g - 402 + 1103. What is the tens digit of l?
0
Let x be -3*(6 + -5) - -7. Suppose 4*g + x*h - 1056 = 0, -4*g + h + 121 = -955. What is the hundreds digit of g?
2
Let v = 111 - 106. Suppose -j = -v*j + 2668. What is the units digit of j?
7
Let b = 87 - 87. What is the tens digit of 5/(-15)*b + 1 + 324?
2
Let z(q) = 577*q - 40. Let p be z(2). Suppose 442*y = 440*y + p. What is the tens digit of y?
5
Suppose 361*s - 642095 = 308*s. What is the ten thousands digit of s?
1
What is the tens digit of (-560)/(-6)*173736/889?
4
Let o = 72 - 61. Suppose 0 = 3*q - 2*t - 1243, -9 = 4*t + o. What is the units digit of q?
1
What is the tens digit of 8092 - (-5)/(25/(-9))*(-50)/15?
9
Let q(t) = 14*t + 11. Let c(p) = -p + 1. Let j(y) = -6*y - 3. Let v(o) = 3*c(o) - 3*j(o). Let l(k) = 5*q(k) - 4*v(k). What is the tens digit of l(4)?
4
Let d = -15699 + 29049. What is the ten thousands digit of d?
1
What is the thousands digit of (2 + -5)*(3 - 2) + (3712 - -167)?
3
Let o(i) = -35*i + 47. Suppose 2 = 4*n + 22. What is the units digit of o(n)?
2
What is the thousands digit of (109*15)/((-18)/(-414))?
7
Let y(d) = -92*d + 34. Let q(k) = 2*k + 1. Let t(h) = 5*q(h) + y(h). What is the units digit of t(-2)?
3
Let z = 227 - 228. Let g(q) = -91*q**3 - 2*q**2 + q + 2. What is the units digit of g(z)?
0
Suppose 5*p = -0*p - 45. Let w(a) be the second derivative of -a**4/12 - 13*a**3/6 - 4*a**2 + 418*a. What is the units digit of w(p)?
8
Let b be 6 - 5/4*(-80)/(-50). Suppose -2*a + 4*g + 227 = 77, -240 = -b*a - 4*g. What is the units digit of a?
5
Let i = -40 + 45. Suppose 4*h - 7*n - 2429 = -8*n, i = 5*n. What is the hundreds digit of h?
6
Suppose 0*m + 96 = -4*m. Let u be (-6584)/m - (-6)/9. Suppose d + 4*d = u. What is the units digit of d?
5
Suppose -50*c + 1678985 = 403335. What is the hundreds digit of c?
5
Suppose -9*m = -4*m - 15, -4*a + 7009 = 3*m. What is the hundreds digit of a?
7
Suppose 188*k - 255640 = 133*k. What is the hundreds digit of k?
6
Let g(a) = -35*a**2 + 3*a - 2. Let c be g(1). Let r = -32 - c. Suppose 5*d + r*d = 511. What is the units digit of d?
3
Let r = -627 + 1275. Suppose 0 = 3*k - 2*z - 1929, 0*z = k + z - r. What is the tens digit of k?
4
Let u = -2 - 34. Let g = 41 + u. Suppose 12*l = g*l + 637. What is the tens digit of l?
9
Let x = 9661 + -9200. What is the tens digit of x?
6
Let k(n) = n**3 - 5*n**2 + 10*n - 6. Let d be k(6). Let o be (4 + (-34)/10)/(4/80). Let j = o + d. What is the hundreds digit of j?
1
Suppose 0 = -4*m + 5*h + 68838, -51621 = 41*m - 44*m + 5*h. What is the tens digit of m?
1
Let j = -715 - -188. Let i = 737 + j. What is the tens digit of i?
1
Let c(y) = -y**3 - 7*y**2 + 2. Let j be c(-7). Let m(t) = 2*t**j - 96 - 17*t + 113 + 0*t**2. What is the tens digit of m(12)?
0
Let l(x) = 42*x**2 + 51*x + 348. What is the ten thousands digit of l(-16)?
1
Suppose 0 = -k - 10*k + 55. Suppose 1022 - 3677 = -k*y. What is the tens digit of y?
3
Let b be 30/8 + 12/48. Suppose 0 = -b*x + 3*x. Suppose 7 = 2*l - 2*u - 87, -4*l + 2*u + 182 = x. What is the units digit of l?
4
Let u(a) = 76*a**3 - 10*a**2 + 46*a - 196. What is the hundreds digit of u(4)?
6
Let t = -1043 + 1043. Let c(y) = -3*y**3 + 103. Let n(j) = -10*j**3 + 308. Let a(v) = 7*c(v) - 2*n(v). What is the units digit of a(t)?
5
What is the tens digit of (3 - -2640) + 54 + -66?
3
Suppose 2*a - 3 = -3*o, -3*a + 4*a - o + 1 = 0. Suppose a = -6*q - 3*q. Suppose q = -5*c + 2*j + 378, -2*c + 4*j = c - 238. What is the units digit of c?
4
Suppose 0 = -9*n + 10*n - 53. Let j be n/4 + (-11)/44. Suppose 5*q = -4*b + 502, -186 = -2*q - b + j. What is the units digit of q?
8
Suppose -5*b + 48910 = -5*d, 65*b - 60*b + d - 48952 = 0. What is the thousands digit of b?
9
Suppose -4*m + 482360 = 12*m + 24*m. What is the ten thousands digit of m?
1
What is the hundreds digit of 39/3 + 15701 + 16?
7
Suppose 0*s - 2*s = 4*w - 16, -4*w = -s - 16. Suppose 0 = -3*i - 0*i, -w*i = -2*d + 664. Suppose -3*z - z + d = 0. What is the units digit of z?
3
Let m(u) = u**2 - 15 + 22 + 0*u**2 + 10*u**2 - 8*u. What is the tens digit of m(5)?
4
Let o(a) = 28*a**2 + 19*a + 1. Let c be o(-11). What is the units digit of c/5*(-6)/(-24)?
9
Let o(g) = -g**2 - 29*g + 54. Suppose 4*r - 25 = -5, a = 3*r - 40. What is the hundreds digit of o(a)?
1
Let w(p) = 227*p - 1751. What is the tens digit of w(37)?
4
Suppose -f - 2*o - 201 = 217, 2*o = -2*f - 826. Let s(w) = 4*w + 26. Let h be s(-6). What is the units digit of 3 - h - f/8?
2
Let x(r) = -12 - 4 + 55*r - 3 - 3. Let b be x(6). Suppose k - 96 = -5*a, -a = -4*k - 2*a + b. What is the units digit of k?
6
Let b(n) be the third derivative of 5*n**5/12 + n**4/12 + 2*n**3 + 7*n**2 - n. What is the hundreds digit of b(4)?
4
What is the hundreds digit of -4 - (-2*(-85091)/(-12) - (-5)/(-30))?
1
Suppose -4*i + 17113 = -o + 3504, 3*o = -15. Suppose -6*p = -i + 35. What is the tens digit of p?
6
Let h = 10016 + -4024. What is the tens digit of h?
9
Suppose 7*o - 5*o = -10. Let k be ((o - -3) + 3)/((-1)/(-307)). Suppose -2*g + 230 = 2*y, 236 = 5*y - 3*g - k. What is the tens digit of y?
1
Let f(n) = -n**3 - 9*n**2 - 11*n. Let h be f(-8). Let o be 12/h*116/2. Suppose 44 = 5*d + o. What is the units digit of d?
3
Let a(j) = 18*j**2 + 66*j - 1278. What is the units digit of a(43)?
2
Suppose -3*p - x + 3 = -24, 2*p = -3*x + 11. Suppose p*k + 418 = 4168. What is the hundreds digit of k?
3
Let v(u) = u**3 + 32*u**2 + 36*u - 64. Let j be v(-28). Suppose 5*i - j = -274. What is the tens digit of i?
5
Suppose -34329 - 5782 = -w - 3*m, 120317 = 3*w + 5*m. What is the hundreds digit of w?
0
Suppose 59 = 2*d + 5*y, 2*d + 2*y - 3*y - 41 = 0. Suppose 14 - d = -4*v. Suppose -45 = -v*u + 41. What is the units digit of u?
3
Let 