27. Suppose -y*j + 2*j = -66. What is the units digit of j?
3
Let z(b) = -2*b**2 - 30*b - 5. Let n be z(-14). Let m = 74 - n. What is the units digit of m?
1
Suppose 9*l - 10*l = -16. Suppose 5*c - l = -2*y, 0 = -y - 2. Suppose 4*n - 757 = -5*t, c*n - 163 - 288 = -3*t. What is the hundreds digit of t?
1
Let d(f) be the third derivative of 163*f**4/24 + 14*f**3/3 - 17*f**2 + f. What is the units digit of d(5)?
3
Suppose -k - 2*k = -246. Let r = k - 48. Let u = 97 + r. What is the units digit of u?
1
Let o be -6*2/(-8)*80/15. Suppose -10 = -d - o. Suppose -d*j + 0*t + 260 = -t, -4*t = -16. What is the tens digit of j?
3
Suppose 35*i - 30*i - 36445 = -5*d, -5*i - 36465 = -5*d. What is the hundreds digit of d?
2
Let i = -22 - -93. Let u = 90 + -137. Let r = i + u. What is the tens digit of r?
2
Let k be 5/10 - (-1)/2. Let y be (k - (-4)/(-6))*0. Suppose 2*d + 172 = 2*s, -s - 4*d + 48 + 48 = y. What is the tens digit of s?
8
Suppose 4*u + 9 = q, -10*u + 3 = -8*u + q. What is the units digit of (113/u)/(3/(-3))?
3
Suppose -c + 22 = 3*y, -2*y + c + 33 = -2*c. Suppose 3*k + y = 6. What is the units digit of (99/(-18))/(k/22)?
1
Let x be 26 - 34 - 329/(-1). Let p = 58 - -96. Let c = x - p. What is the units digit of c?
7
Suppose -4*p = 3*k - 318, 5*k = 2*p + 3*p - 415. Suppose -m = -4*m + 369. Let j = m - p. What is the units digit of j?
2
What is the thousands digit of ((-5 + (3 - -1))/1)/(1/(-3092))?
3
Suppose -711 = m - 3*f + 153, -4*m = 3*f + 3501. Let p = -148 - m. What is the tens digit of p?
2
Suppose -306090 - 1088344 = -255*m + 252101. What is the units digit of m?
7
Suppose 2*f - 27 = -5*c + 57, 3*f - 5*c = 76. Let p(a) = a**2 - 24*a - 68. What is the tens digit of p(f)?
8
Suppose 58*i - 1175251 - 1175431 = 0. What is the hundreds digit of i?
5
Let o be ((-1495)/(-46))/(1/(-2)). Let g = o - -66. What is the tens digit of (4 + g)*576/15?
9
Let x be (-6)/24 + 465/4. Let h = 438 - x. Suppose 3*m - v - h = 0, 0*v = -2*m - 4*v + 196. What is the hundreds digit of m?
1
Suppose -13*u - 4103 = -2*u. Let q be (u/(-2) - -1)/(2/8). Suppose -2*i + 312 = 2*j, 0 = -5*j + 2*i + 3*i + q. What is the units digit of j?
3
What is the ten thousands digit of 243/12*-90*220/(-33)?
1
Let s(d) = -2187*d + 1093. What is the hundreds digit of s(-37)?
0
Suppose -29*n + 101710 = -2*n + 17551. What is the tens digit of n?
1
Let y be 99/(-33) + (0 - 1*-7). Suppose -5083 = -5*m + 2*h, -y*m + 21*h = 25*h - 4044. What is the units digit of m?
5
Let s(d) = -d**2 + 9*d + 25. Let u be s(11). Suppose 2*h - 2*a - 99 = -u*a, 33 = h - 5*a. What is the units digit of h?
8
Let b(r) = 21*r**2 - 33*r + 30. What is the units digit of b(12)?
8
Let d(n) = 98*n**2 - 822*n + 7. What is the hundreds digit of d(-10)?
0
Let f(a) = 284*a + 427. What is the units digit of f(31)?
1
Suppose 0 = -4*n + 1 - 5. Let y(q) = -q**3 - 4*q - 5. Let r be y(n). Suppose -u - 5*t + 21 = r, -3*t + 2*t - 189 = -4*u. What is the units digit of u?
6
Let x(m) = 11*m - 2487. Let u be x(0). Let a = -1526 - u. What is the units digit of a?
1
Suppose -7 = -4*d + 1. Suppose d*o = -4*y + 16, 3*y + 4 = 2*o + 9. Suppose -v + 127 = -2*z, o*z = 2*v - 269 + 5. What is the hundreds digit of v?
1
Let j(f) = 37177*f - 74360*f - 11 + 37177*f - 5*f**2 + 2*f**3. Suppose -2*d = -3*q + 2*d + 22, d + 13 = 2*q. What is the hundreds digit of j(q)?
2
Let j(a) = -5*a**3 - 3*a**2 - 2*a + 1. Let c be j(-2). Let g = -39 + c. What is the units digit of (-366)/g*(3 - (-2)/(-1))?
1
Let m(p) = p**3 + 15*p**2 - 8*p - 35. Let s be m(-5). Let u = s - 248. What is the units digit of u?
7
Suppose -655*s + 35100 = -650*s. What is the hundreds digit of s?
0
Let b(i) = 3*i**2 + 103*i - 226. What is the thousands digit of b(-51)?
2
Suppose 2*h + 4*z = 516, -h - z = -119 - 142. Suppose 370 = -259*g + h*g. What is the tens digit of g?
7
Let n = -117 - -43. Let k = -292 - -399. Let r = n + k. What is the units digit of r?
3
Let x(y) be the third derivative of y**6/10 - y**5/20 + y**4/6 - 5*y**3/6 + 10*y**2 - 3. What is the tens digit of x(3)?
0
Suppose 42*t - 33*t - 2619 = 0. What is the hundreds digit of t?
2
Let u(s) = -6*s**2 + 192*s + 2. Let f be u(32). What is the units digit of 8 + (-4 - f - -812)?
4
Let f(s) = 8*s - 6. Let b(p) = 2*p - 5. Let w(y) = -2*b(y) + f(y). Let r(j) = -j + 2. Let l be r(0). What is the tens digit of w(l)?
1
Let i be ((-7678)/(-55))/((-2)/(-5)). Let l = i + 392. What is the hundreds digit of l?
7
Let h = 7853 + 18384. What is the ten thousands digit of h?
2
Let b(i) = i**3 + i + 56. Let t be b(0). Let h = -48 + t. What is the units digit of 0 + 554/h + 105/140?
0
Let i = 19 + -14. Suppose -f + 244 = -i*f. Let c = 73 + f. What is the units digit of c?
2
Suppose -28*v + 49 = -21*v. Suppose v*j - 202 = 946. What is the units digit of j?
4
Let q(y) = -y**3 + 2. Suppose -10 = 3*n + l, 2*n - 6*n + 5*l + 12 = 0. Let r be q(n). Suppose r*m = 15*m - 135. What is the units digit of m?
7
Suppose -20*x + 15*x - 40 = 0. Let w(k) = -14*k - 47. What is the tens digit of w(x)?
6
Let o = -3852 + 723. What is the hundreds digit of 0 + o/(-7) + -7?
4
Let k(m) = -2*m - 16. Let x be k(23). Suppose -214 = -3*q + 5*q. Let t = x - q. What is the units digit of t?
5
Let m(r) = -r**3 - 19*r**2 + 13*r - 23. Let c(o) = -98*o**2 + 1 + 97*o**2 + 28. Let s be c(-7). What is the units digit of m(s)?
7
Let z(g) be the second derivative of g**4/12 - 5*g**3/6 + 15*g**2/2 + 63*g. Let o(t) = 3*t - 6. Let m be o(5). What is the units digit of z(m)?
1
Suppose t - 1763 = 5*d, -4*t + 5*d + 9090 - 2053 = 0. What is the tens digit of t?
5
Let n(b) = 2149*b + 523. What is the ten thousands digit of n(23)?
4
Suppose 3*i = -4*b - 154, -4*i + 0*b - 3*b = 217. Let w be (-2 - -3*1)*(i + -10). What is the units digit of w/(-4)*-1*-5?
5
Suppose 5*i - 115755 = -5*o, 0 = i + 2*o - 3404 - 19748. What is the hundreds digit of i?
1
Let n be (-10)/(-35) - 300/(-28). Suppose n*h - 2*w = 8*h + 276, 3*h - 5*w = 276. What is the tens digit of h?
9
Suppose 4*m = 2*m - 8. Let n(a) = -11*a**3 - 5*a**2 + 2*a + 5. Let f be n(m). Suppose 5*d = s - 3*s + f, -4*d = 2*s - 496. What is the hundreds digit of d?
1
Let q(s) = 102*s**3 - 11*s**2 - 11*s + 15. What is the units digit of q(2)?
5
Let n(l) = 7*l**2 - 16*l - 255. What is the thousands digit of n(-30)?
6
Suppose -3*o + 11 - 5 = 0. Suppose 5*s = r + 26 + 20, -r + 44 = 5*s. Let x = s + o. What is the units digit of x?
1
Let h = 526 - 520. Suppose -h*u + 1100 = -3502. What is the hundreds digit of u?
7
Suppose 163823 = 19*g - 323014. What is the ten thousands digit of g?
2
Let m be (3/(-3))/(2/6). Let s be m/(-24) - ((-1795)/(-8))/(-5). Suppose 40*b - s*b + 1075 = 0. What is the units digit of b?
5
Let y(p) = 12*p**2 - 8*p - 7. Let k be y(-1). Suppose 15*b = k*b + 3*u + 79, 3*b = u + 115. What is the units digit of b?
8
Suppose g - 3*t - 471 = -8*t, 0 = -2*g - 2*t + 918. Suppose 68*l - g = 66*l. What is the units digit of l?
8
Suppose 2*l = 5*g - 178 - 37, 3*g - 150 = -3*l. Suppose -22*b - 2898 = -g*b. What is the hundreds digit of b?
1
Let z(y) = 11*y**3 + 18*y**2 - 53*y + 441. What is the hundreds digit of z(13)?
9
Suppose 5*b = -3*v + 1219, 2*v - 11*b - 776 = -7*b. What is the units digit of v?
8
Let v(h) = 3*h**3 - 46*h**2 + 3*h - 66. What is the units digit of v(19)?
2
Let s(f) = -f**3 + 3*f**2 - 19*f + 7. Let d be 60/(-15) - (6 + -1). Let r be s(d). Suppose -3*b = -8*b + r. What is the tens digit of b?
3
Let j = -2531 + 6205. Let t = -1947 + j. What is the thousands digit of t?
1
Suppose 0 = 11*f + f - 1044. What is the tens digit of -2*1 + -1 + 6699/f?
7
Let k be 1500 + -5 + (-2)/2. What is the hundreds digit of ((-4)/3)/((-3)/k)?
6
Let s(u) = -57*u - 7 - 10 - 13. Let p be s(-3). Suppose 13*i - 12*i = p. What is the hundreds digit of i?
1
Suppose -147*g = -151*g + 6096. Suppose 6*k = 2610 + g. What is the tens digit of k?
8
Let z be (-43)/(-15) + (-18)/(-135) - 63. What is the tens digit of 5*(-1 - (z - -7))?
6
Suppose 2 = -0*m - m - i, -5*i = -3*m - 6. Let u be 339 + ((-4)/m - -2). Suppose 4*z = -3*z + u. What is the tens digit of z?
4
Let b(j) be the third derivative of -j**4/4 + 7*j**3/3 + 5*j**2. Let a be b(3). What is the units digit of a/(-10) - 686/(-35)?
0
Let x = 694 + -352. Let q = x - 198. Suppose 0*v = 3*v - 3*h - q, 5*