ppose -w*p + 128*p = 1501. What is the units digit of p?
1
Suppose 3*n - 5*g - 327 = 453, 4*n + 5*g = 1075. Let p = n + -162. What is the hundreds digit of p?
1
Suppose -483*u + 1896426 = -441*u. What is the hundreds digit of u?
1
Let l(c) = 4*c**3 - 3*c**2 + 2*c - 4. Let w be l(2). Suppose 885 = w*p - 17*p. What is the tens digit of p?
9
What is the units digit of 20/12 - ((-2)/(-5) + (-95488)/120)?
7
Let h(q) = 223*q - 230*q - 14*q**2 + 13 - 8*q**3 - 68. What is the units digit of h(-6)?
1
Let b be 2/(-6) - (1 - 14/(-3)). Let s(c) = 11*c**2 + 5*c - 21. What is the tens digit of s(b)?
4
Let t(s) = -s**3 - 6*s**2 - 7*s - 12. Let h be t(-6). Let l be 4/(-14) + h/(-42). What is the tens digit of l/((30/205)/(-6))?
4
Suppose -15 = -22*x - 37. What is the hundreds digit of (37 + x)*185/20?
3
Suppose 475*i - 66322 = 473*i + s, 0 = 3*i + 2*s - 99511. What is the hundreds digit of i?
1
Suppose 2*p - 38*q - 5086 = -40*q, 0 = 4*p - 3*q - 10214. What is the units digit of p?
9
Let t(r) = 10*r**3 - 51*r**2 - 43*r + 111. What is the hundreds digit of t(18)?
1
Let u = 685 + -67. Let t = u - 281. What is the hundreds digit of t?
3
Let w(i) be the first derivative of i**4/4 - i**3 + 3*i**2/2 - 5*i - 567. Suppose 0*g = 2*u + 2*g - 12, 0 = 3*u + 5*g - 24. What is the units digit of w(u)?
4
Let h be 1158/8 - (-12)/48. Suppose h = 4*k - 743. What is the tens digit of k?
2
Suppose 0 = -462*u + 457*u + 35, -4*o + 293366 = 2*u. What is the tens digit of o?
3
Suppose 34*z - 37*z + 780 = 0. Let h = -19 + -115. Let u = h + z. What is the units digit of u?
6
Let c be (-2)/((-1)/2*1). Suppose h = -3*h - c*d + 1140, -2*h = 3*d - 575. Suppose 3*r + 12 = 0, -3*k - r = k - h. What is the tens digit of k?
7
Let k(t) = 176*t**2 - 7*t + 7. What is the units digit of k(-4)?
1
Suppose -5*b + 26*b - 51407 - 34609 = 0. What is the tens digit of b?
9
Suppose -3*n - 2*x + 68473 + 87852 = 0, 0 = 3*n + x - 156323. What is the tens digit of n?
0
Let x be (1 - -4)*(0 + (-679)/(-35)). Suppose -6*a + 59 = -x. What is the units digit of (-224)/(-6) + a/39?
8
Let n = 24 - 21. Let u(w) = -11*w + 10*w - w - 5 + n*w. What is the units digit of u(9)?
4
Let n(r) = -23*r + 303. Let s be n(13). Suppose -f = -x - 574, -1004 - 690 = -3*f - s*x. What is the units digit of f?
0
Suppose -d - 13 = -2*g - 0*d, 5*g - d - 34 = 0. Let u be (102/(-30) - -5)*25/10. What is the tens digit of 11*(-4 + g) + u?
3
Suppose -417456 = 219*m - 237*m. What is the tens digit of m?
9
Let m be ((-1628)/154)/(2/(-14)). Let j = -72 + m. Suppose j*x = -2*n + 266, 4*n = -3*x - n + 399. What is the units digit of x?
3
Let u(d) = d**3 - 5*d**2 + 4*d - 15. Let j be u(5). Suppose m - j*v = -6, m + 3*v - 2 = -0*m. What is the tens digit of 86 + 2 + 1/m + 3?
9
Suppose 115 = 3*r - 101. Suppose r = -4*n - 3*l, -n + 5*n + 72 = 4*l. Let y(b) = 2*b**2 + 32*b + 12. What is the units digit of y(n)?
4
Suppose -3*i - 720 = -5*i. Let z be (1 + 7/(-5))/((-2)/i). What is the units digit of (-1*(-59)/(-3))/(z/(-216))?
9
Let j(b) = 45*b**2 - 83*b - 484. What is the tens digit of j(-24)?
2
Suppose 53880 = 39*k - 24*k. Suppose -66*r + 62*r = -k. What is the hundreds digit of r?
8
Let y be (-76)/(-32) + 3/(-8). Suppose 48*s = 47*s + y. Suppose -3*c = 3*j - s*c - 229, -4*c = -4. What is the units digit of j?
6
Let s(a) = -a**3 + 14*a**2 - 9*a - 9. Let c be s(13). Suppose -3*n - c + 160 = 0. What is the units digit of n?
9
Suppose 4 = -2*r, 5*r = -18*y + 23*y - 239245. What is the thousands digit of y?
7
Suppose 11*h - 1124 - 240 = 0. Suppose -730 = -2*g + h. What is the tens digit of g?
2
Let k(g) = -522*g**2 + 9 - 16*g + 528*g**2 - 50. What is the units digit of k(-11)?
1
Let h(f) be the third derivative of -11*f**5/120 - 5*f**4/8 - 7*f**3/6 - 2*f**2. Let o(t) be the first derivative of h(t). What is the units digit of o(-10)?
5
Let g(c) = 10782*c**2 - 48*c - 49. What is the tens digit of g(-1)?
8
Let d(h) = -7*h**3 + 30*h**2 + 68*h + 25. Let k(f) = 10*f**3 - 45*f**2 - 101*f - 38. Let t(b) = 7*d(b) + 5*k(b). What is the tens digit of t(17)?
7
Let a = -92 - -106. Suppose -a*x + 32 = -6*x. Suppose x*l = 6*l - 322. What is the hundreds digit of l?
1
Let r(g) = g**3 - 5*g**2 + 2*g + 9. Let m be r(4). Let b be 0 + ((-4)/(-6) - m)*-6. Suppose 2*v = 3*c + 196, -v - 3*v = b*c - 376. What is the units digit of v?
5
Let j(u) = -u**3 - 5*u**2 + 13*u. Let m be j(-7). Suppose -2*t - 3 = -m. Suppose -t*z = 2*z - 300. What is the tens digit of z?
7
What is the units digit of 239*73*(-84 + 87) + -4?
7
Let w = -331 + 328. What is the units digit of ((-474)/18*3)/(w + 2)?
9
What is the tens digit of ((13344/(-4))/8)/((-1)/4)?
6
Suppose -7 = 9*q - 8*q. Suppose 5*h + 34 = -0*v + 4*v, v = 2*h + 10. What is the units digit of (-1039)/q + v + 45/(-7)?
8
Let y(x) = 931*x - 930. What is the thousands digit of y(6)?
4
Let s(j) = 234*j - 673. What is the tens digit of s(27)?
4
Suppose 10678 - 50886 = -7*x. What is the tens digit of ((-2)/8)/((-4)/x)?
5
Let k(t) = 3013*t**2 - t. Let s be k(1). Suppose 0 = -20*j + 24*j - s. What is the hundreds digit of j?
7
Let b = 3532 - -5166. What is the units digit of b?
8
Let q = 18797 - 15339. What is the hundreds digit of q?
4
Let t = 3955 - -22440. What is the hundreds digit of t?
3
Let v(y) = -885*y + 1270. What is the thousands digit of v(-23)?
1
Suppose 0 = 4*k - 1 - 15. Suppose -3*i + 271 = -5*j - 778, j = -k*i + 1437. Let r = -183 + i. What is the units digit of r?
5
Let f be -497 - (6 + -5 + 0). What is the tens digit of (-2 - 0 - -4)*f/(-12)?
8
Suppose 4*n + 187 = -0*s + s, -4*s + 3*n = -696. Let h = 292 - s. What is the units digit of h?
1
Let l = -89 + 96. What is the tens digit of (-2)/l - (-5845)/49?
1
Suppose 100 = 6*u - 2*u. Suppose -u*s = -29*s + 72. Suppose -5*l = -s*l + 637. What is the tens digit of l?
4
What is the thousands digit of -4 + -6 + (10563 - -7)?
0
Let g = -9239 + 15776. What is the units digit of g?
7
Suppose 3*o = t - 7637, -184*t - 7633 = -185*t + o. What is the units digit of t?
1
Suppose -81*b + 29612 - 3568450 = -283*b. What is the hundreds digit of b?
5
Suppose 2*f + 4*w = -320, -836 = 7*f - 2*f + w. Let r = -185 + 100. Let y = r - f. What is the units digit of y?
3
What is the hundreds digit of (-2)/7 + (-94826)/(-14)?
7
Suppose 32*p - 654738 = 9*p - 75*p. What is the tens digit of p?
8
Let t(v) be the second derivative of v**4/12 + 63*v**2 + 1496*v. Let b = -1 + 1. What is the units digit of t(b)?
6
Let v be (((-14)/(-21))/(2/15))/1. Suppose -2*d = 2*d + 4*h - 1256, -v*d + 1576 = -h. What is the hundreds digit of d?
3
Suppose -u - 3*o + 538 = 0, 3*o + 550 = 176*u - 175*u. What is the units digit of u?
4
Suppose 0 = 5*n - 9*n + 3*a - 992, 0 = -n + 3*a - 257. Let v be (1 + 0)/((-5)/(-60)). Let i = v - n. What is the hundreds digit of i?
2
Let x(n) = 3*n**3 + 98*n**2 - 32*n + 35. Let i be x(-33). Suppose 0 = -5*c - j + 4848, -1923 = -i*c + j + 4*j. What is the tens digit of c?
6
Let j(w) be the first derivative of -w**4/4 + 10*w**3/3 + 11*w**2 - 14*w + 3. Suppose 4*t = -3*v + 38, 0*v - 3*v + 23 = t. What is the units digit of j(v)?
2
Suppose 0 = -49*n + 256*n - 1856169. What is the hundreds digit of n?
9
Let q(r) = -6*r - 36. Let l be q(-8). Suppose 3960 = -0*u + l*u. What is the tens digit of u?
3
Let q be (-2)/(-4)*-8 - -6. Suppose -2*r = q*r - 1536. Suppose 4*l + 4*d = d + r, 0 = -4*d. What is the tens digit of l?
9
Let h be ((-42)/28)/(3/(-2) + 1). Let x(i) = 11*i**2 + 5*i + 2. Let g(q) = -10*q**2 - 6*q - 3. Let n(d) = 5*g(d) + 6*x(d). What is the tens digit of n(h)?
4
Let q(s) = 127*s. Let c be q(3). Let t be 91*23/5 + 46/115. Suppose 8*j - t = c. What is the hundreds digit of j?
1
Let c(f) = -10 - 92*f + 101*f + 48. What is the hundreds digit of c(14)?
1
Suppose -7456 + 959 = -s + 15050. What is the ten thousands digit of s?
2
Suppose -3*z - 791 = -b, -1056 = 4*z + 3*b - 5*b. Let w be 24/15 + 67/((-1005)/(-7056)). Let a = w + z. What is the hundreds digit of a?
2
Let z(r) = -9*r**2 - 55*r + 15. Let u(b) = 10*b**2 + 54*b - 15. Let x(s) = -5*u(s) - 6*z(s). What is the units digit of x(-19)?
9
What is the tens digit of 23/(207/1620)*104/12?
6
Let f = 9930 + 28723. What is the thousands digit of f?
8
What is the thousands digit of (-33280902)/(-378) - (16/(-28))/2?
8
Let d be (-1530)/5 + 14 + 