e units digit of c?
7
Let k = -468 + 963. Let y = k + 463. What is the hundreds digit of y?
9
Suppose -4*n + r + 8 = 0, 11*n = 6*n - 5*r + 10. What is the hundreds digit of n/(-2*2/4) + 597?
5
Let k(n) be the second derivative of -29*n**5/20 - n**4/3 - n**3/2 + 11*n. Let o be k(-3). Suppose 5*v = 9*v - o. What is the tens digit of v?
8
Let m(k) = 5*k + 50. Let l be m(-12). Let w(a) = a**2 + 10*a + 12. Let c be w(l). Suppose y + c*y - 2158 = 0. What is the hundreds digit of y?
1
Let k(a) be the third derivative of a**5/12 - 29*a**4/24 - 23*a**3/3 - 57*a**2 - 2. What is the units digit of k(-7)?
2
Let j = 81 + -66. Suppose -31 - j = -o. Suppose 4*n - 184 = s, 2*n = -3*s + 152 - o. What is the tens digit of n?
4
Let z(s) = -s**2 - 6*s - 16. Let i be z(-4). Let r = 29 + i. Let u = 80 - r. What is the tens digit of u?
5
Let o(r) = 7*r**3 + 5*r**2 - 6*r + 2. Let c be o(2). Let z = c - 63. What is the tens digit of 27/(-2)*(-28)/z?
2
Let m(y) = 3*y - 25. Let l be m(9). Let n be ((-3 - -1)/l)/(2/72). Let f = 115 - n. What is the tens digit of f?
5
Let s be (-7)/(-4) - 3*4/(-48). Suppose 3*v - 26 = s*v - 5*b, -3*b = -v + 50. What is the tens digit of v?
4
Let k(n) = 2*n**2 + 33*n - 54. Let x(u) = 3*u**2 + 32*u - 53. Let y(o) = -5*k(o) + 4*x(o). What is the units digit of y(25)?
3
Suppose -758832 = 43888*m - 43904*m. What is the units digit of m?
7
Let r be (105/7)/(-3)*-3. What is the tens digit of (r/(-30))/(4/(-3256))?
0
Suppose 0 = -f + 5 - 1. Suppose 3*q - 2*a = 4069, -f*q + 755 + 4668 = -5*a. What is the tens digit of q?
5
Suppose 0 = 2*j + o, 14 = -j - 4*o - 0. Suppose j*n + 513 = 5*n. What is the tens digit of n?
7
Let q = 15 - 12. Suppose 2*p + q*v = 794, p + 2*v - 390 = -3*v. What is the units digit of p?
0
Let n(k) = -28 + 28*k + 47 - 14*k. Let d be n(-6). Let q = 226 + d. What is the hundreds digit of q?
1
Suppose 0 = -2*l - 5*o, -4*l = -2*l + 2*o. What is the hundreds digit of (-138)/(-18)*(l - -33)?
2
Let x(m) = -15 + 13*m**3 + 9*m + 17 - 11 + 28*m**3. What is the tens digit of x(2)?
3
Suppose -u = 5, u + 9109 = m - 5*m. What is the tens digit of m/(-12) + 1 + (-12)/(-9)?
9
Let z(c) be the third derivative of 11*c**6/120 - c**5/60 - c**4/12 + 2*c**3/3 - 109*c**2. What is the hundreds digit of z(3)?
2
Suppose -d - 2*v = -15, -17 = -5*d + 3*v + 6. Suppose -d*s + 3993 = -1894. What is the tens digit of s?
4
What is the thousands digit of ((-25)/((-350)/(-56)))/((-3)/2883)?
3
What is the thousands digit of ((-24458)/8)/(13 - (-314)/(-24))?
6
Suppose 101542*x = 101529*x + 1066845. What is the hundreds digit of x?
0
Let v be 4/6*38 + (-12)/36. Suppose 5*r = 10*r - v. Let c(l) = 3*l**2 - 3*l + 7. What is the tens digit of c(r)?
6
Let u = 32 - 36. Let a = u - -83. Let w = 258 - a. What is the units digit of w?
9
Suppose -57478 = -2*l + 3*d - 13837, l = 5*d + 21831. Suppose -28*r + l - 5940 = 0. What is the units digit of r?
7
Let j = 9642 + -8683. What is the hundreds digit of j?
9
Let o be 1/((-45)/325) + 2/9. Let c = o + 69. Let z = c - -32. What is the tens digit of z?
9
Let p = -913 - -607. Let i = p - -447. What is the units digit of i?
1
Suppose 4*w + 71 = 107. Suppose 3874 = w*v - 365. What is the units digit of v?
1
Suppose 0 = 147*r - 51*r - 5853312. What is the thousands digit of r?
0
Suppose -84710 = -2*v + 58*w - 60*w, v - 2*w = 42334. What is the hundreds digit of v?
3
Let q = -24 - -22. Let v be 3 + (-126)/q + -2. Let h = -45 + v. What is the tens digit of h?
1
Let b(j) = -j**3 - 7*j**2 + 12*j + 7. Suppose 0*p = -7*p - 70. What is the tens digit of b(p)?
8
What is the tens digit of (1683/4)/(90/420*(-21)/(-18))?
8
Suppose -x - 1 = 11. Let t be (-2)/x + ((-7)/6)/7. Suppose 0 = 4*y - 5*c - 447, 8*y - 3*y + 4*c - 569 = t. What is the hundreds digit of y?
1
Suppose -3 = -4*q + 13. Suppose -2*g = 4*r - 1312, -q*r + 982 = -r + g. What is the hundreds digit of r?
3
Let i be 224/48 - 22/6. Let s(j) = 65*j**3 - j + 0*j + 0*j. What is the units digit of s(i)?
4
What is the tens digit of (-2660)/35*1/(4/(-933))?
2
Let m be 6/(-15)*(-5 + 0) + -1874. What is the units digit of m/(-65)*(0 - -5)?
4
Let t = 27 - 24. Suppose 0 = u - 5*m - t, 0*u - 2*u + 4*m + 36 = 0. Suppose u = 2*y - 34. What is the tens digit of y?
3
Suppose 4 = -3*u + 4*b, 4*b + 3 - 15 = u. Suppose -2*v + 7 = 3*t, u*v - 13 = -4*t + 5*v. Let i(n) = 19*n**2 + 8. What is the units digit of i(t)?
9
Let z(j) = 2*j**3 - 70*j**2 - 148*j + 186. What is the tens digit of z(40)?
6
Let t be (-2 - (0 - 1))*1*-2. Suppose c + 15 = 2*v, 3*v + 5*c - 18 = t*c. Suppose v*f - 6 = 6*f. What is the units digit of f?
6
Suppose -4233 = -17*f - 0*f. Suppose 28*l = 25*l + f. Suppose 0 = -3*k - l + 167. What is the units digit of k?
8
What is the thousands digit of (56226/21)/((-11)/(-77))?
8
Suppose -707 = -t - 2*m, -63*t - m - 725 = -64*t. What is the tens digit of t?
1
Let x(j) = j**2 + 2*j - 174. Let m(d) = -4*d**2 - 17*d - 2. Let g be m(-5). What is the units digit of x(g)?
1
Suppose 4*y - 4*r = 74216, 2*y - r - 52725 = -15611. What is the units digit of y?
0
Suppose -2*g - 24 = -3*o, -g + 7 - 39 = -4*o. Let b be -1 + (4 - -12)/4. Suppose -b*y - 5 = -4*y - h, -o = 4*h. What is the units digit of y?
7
Suppose 4*p = p - 1245. Let j = 751 + p. What is the units digit of j?
6
Let b = 18 + -10. Let f(c) = c**3 - 19*c**2 + 42*c - 132. Let k be f(16). What is the units digit of (k/(-15))/(b/40)?
6
Suppose -5*z + 5 = -5. Suppose 0 = -3*c - z*c + 2050. Suppose -c = 4*s - 9*s. What is the units digit of s?
2
Suppose 6 = 3*b - 3*p, -p - 16 = -5*b - 2. Suppose 9 = -b*m, 4*s + m - 556 = 925. What is the tens digit of s?
7
Let u(l) = -l**3 - 21*l**2 - 19*l + 28. Let r be u(-20). Suppose -4*k - 2291 = -5*b - r*k, 3*k = 12. What is the hundreds digit of b?
4
Let t be -922*(-5)/(-35)*42/12. Let l = 223 - t. What is the hundreds digit of l?
6
Let j = 59 + -32. Suppose -4*v - j = -3*p, 2*v + p - 17 = 6*v. What is the units digit of (3/(-18)*v)/(4/296)?
7
Suppose -1373937 + 352783 = -122*z + 43*z. What is the hundreds digit of z?
9
What is the tens digit of (-10)/30*(-3 + -75903)?
0
Let o = 143 - 44. Suppose 0 = -5*y - 5*f + 465, -4*f = -0*y + y - o. What is the tens digit of y?
9
What is the hundreds digit of (-150285)/(-135) - 10 - 2/9?
1
Let n = -30 - -32. Suppose 0 = 4*v - 4*l - 32, -4*v = -3*l - 13 - 14. Suppose n*s - 3*a = v*s - 117, 3*a = s - 87. What is the units digit of s?
2
Suppose -2*s + 2*r = -34172, 25*s - 5*r = 27*s - 34172. What is the thousands digit of s?
7
Let v(x) = -9*x + 2. Let b be v(2). Let g(u) = -u**3 - 18*u**2 - 32*u + 1. Let r be g(b). What is the tens digit of r + (-1 - (-2)/(2/25))?
2
Let o(v) = 4*v + 4. Let y be o(3). Let t(z) = 69*z - 188*z - 19 + 67*z + 59*z. What is the units digit of t(y)?
3
Let j(m) = 26*m + 347. Suppose 5*n - 6*l = -3*l - 37, -4*l + 12 = -2*n. What is the hundreds digit of j(n)?
1
Let l(k) = -2*k**3 - 6*k**2 - 25*k - 1. What is the hundreds digit of l(-11)?
2
Suppose -48336 = -98*b + 74*b. What is the hundreds digit of b?
0
Let f = 32351 + -23006. What is the thousands digit of f?
9
Suppose -43*m = 56*m - 455400. What is the units digit of m?
0
Let n(i) be the second derivative of -i**5/4 + 3*i**4/2 + 2*i**3 - 6*i**2 + 59*i + 4. What is the hundreds digit of n(-6)?
6
Let t be (90/4)/(8/80). What is the tens digit of t/2 - ((-54)/(-4) + -13)?
1
Suppose -2*t + 14252 - 40262 = -2*s, 0 = -5*s + 2*t + 65016. What is the tens digit of s?
0
Suppose 2*i + 3 = 29. Let c(g) = g**2 - 21*g - 7. Let m be c(i). What is the units digit of (m/6)/((-3)/18)?
1
Let c(s) = 12*s**3 - 262*s**2 - 26*s + 181. What is the tens digit of c(24)?
3
Let t be (-13)/((-780)/456) - 4/(-10). Suppose t*x - 138 = 1774. What is the tens digit of x?
3
Suppose -4*w = 3*q + 390, 4*q = 3*w + 3*q + 299. Let p = -16 - w. What is the tens digit of 5 + (p - 2) + 3?
8
Let n(s) = 792*s - 519. What is the thousands digit of n(4)?
2
Let s(o) = 12*o**2 + 45*o + 65. Let h(x) = -5*x**2 - 23*x - 32. Let b(c) = 5*h(c) + 2*s(c). Suppose f + 7 + 10 = 0. What is the units digit of b(f)?
6
Suppose -2*j + 5*j + 4*b - 24 = 0, 0 = 3*j - 2*b - 6. Suppose 0 = j*w + 4*x - 716, -w - 2*x + 170 = -4*x. Let q = w - 103. What is the units digit of q?
3
Let b(y) be the third derivative of 11*y**4/3 + y**3/6 + 34*y**2. Let c = 4 - 3