. Let t(d) = 5*r(d) + 6*x(d). What is the units digit of t(-7)?
1
Let q = 104 - 76. Let x be q/8 + (-2)/4. Suppose 4*t - 3*a - 384 = 0, 0 = -5*t + x*t - 3*a + 210. What is the tens digit of t?
9
Suppose 1180*w - 1189*w = -51309. What is the thousands digit of w?
5
Let b be (4/5)/((-15)/(-300)). Let x = -10 + b. What is the tens digit of 3/(-81)*-1101 - x/(-27)?
4
Suppose -4*u + u + 36 = 0. Suppose -5*d = -u + 22. What is the tens digit of 541/2 - (-1)/d?
7
Suppose -337*b + 174955 = -282*b. What is the units digit of b?
1
Let b(g) be the third derivative of g**5/60 - g**4/4 + g**3/6 + 14*g**2. Let i be b(7). Suppose -129 = -i*f + 191. What is the units digit of f?
0
Let f(u) = -2*u - 8. Let s be f(0). Let b(l) = 2*l**2 + 39. Let w(t) = 4*t**2 + 77. Let c(i) = 7*b(i) - 3*w(i). What is the units digit of c(s)?
0
Suppose 70048 = -2480*n + 2496*n. What is the units digit of n?
8
Let y = -830 + 871. Suppose 2*k - y - 103 = 4*d, -2*d = 2*k - 156. What is the tens digit of k?
7
Let t be 374 - (0 - (0 + -4)). Suppose 2*a - 80 - t = 0. Suppose a = 5*v - 190. What is the units digit of v?
3
Suppose -5*p = n + 50, -3*n - 181 = -p + 1. Let a = n + 62. Suppose -4*j = -a*j - 484. What is the hundreds digit of j?
2
Let f = 210 + -219. What is the hundreds digit of 93*(-78)/f - -7?
8
Let d be 2 - 8 - (-1 - 7). What is the units digit of 132/(-2*d/(-24))?
2
Let c(u) = 0*u**2 + 1 - 5 + u**2 + 8. Let x be c(0). Suppose -139 + 946 = 5*v + 2*s, x = 4*s. What is the tens digit of v?
6
Let y = -64 + 302. Suppose 4*v = -0*v - 3*o + y, v = 2*o + 65. Let r = v + -27. What is the units digit of r?
4
Let l be 30/15 + (467 - -1). Let r = l - -64. What is the tens digit of r?
3
What is the thousands digit of 68653/156*10 - (-4)/24?
4
Let k(s) = s**3 - 14*s**2 - 32*s + 5. Let z be k(16). Suppose 0 = -z*g + 2670 + 590. Suppose 0 = -5*b - 4*l + g + 362, 3*l = -12. What is the tens digit of b?
0
Let u(v) = v**2 - 3*v + 9. Suppose 3*n + 5*m - 32 = 0, -2*m - 43 = -n - 4*n. What is the units digit of u(n)?
3
Let v(f) be the third derivative of f**6/360 + 7*f**5/120 - 5*f**4/12 + 11*f**2. Let k(l) be the second derivative of v(l). What is the tens digit of k(19)?
4
Let z = -24 + 81. Suppose 379 = 2*b + 2*b - 5*u, 2*u - 194 = -2*b. Suppose -y = -b - z. What is the hundreds digit of y?
1
Suppose -100900 - 59180 = -5360*v + 5344*v. What is the hundreds digit of v?
0
Let w be 0 - (-1184 - (15/3)/(-5)). Suppose 4*d = w - 151. What is the tens digit of d?
5
Let n be (0 - 0)*(-3 + 0)/(-9). Suppose n = -3*i - 5*i + 152. Suppose 4*t + i - 119 = 0. What is the units digit of t?
5
Let o(t) = t + 11. Let p be o(-9). Suppose p*b + 13 + 5 = 0. Let q = b + 83. What is the tens digit of q?
7
Suppose 27*b - 42904 = 95247 + 100988. What is the units digit of b?
7
Let q(a) = -4 + 3 + a + 2. Let z(i) = -i**2 + 3*i - 8. Let n(x) = 5*q(x) + z(x). What is the units digit of n(6)?
9
Let m(c) = 20*c**3 - 3*c**2 - 2*c - 5. Let s be m(-3). Let y = -267 - s. What is the tens digit of y?
9
Let s(b) = -394*b**2 - b - 1. Let c be s(1). Let k = c + 399. What is the units digit of k?
3
Let y = -36 - -46. Suppose 5*l - y = 0, 0*d - 1840 = 4*d - 2*l. What is the hundreds digit of (0 + d/(-12))/((-3)/(-8))?
1
Suppose -805*u + 2287 = -804*u. What is the thousands digit of u?
2
Let d(s) = -2*s**2 + 16*s + 4. Let h be d(7). What is the hundreds digit of (2784/h + 6)/(2/3)?
2
Let f(k) = 55*k - 66. Let l(o) = 2*o + 2. Let u(g) = f(g) + l(g). What is the thousands digit of u(19)?
1
Suppose -y - 5*a + 10122 = 0, 3*a = -2*y - 2105 + 22314. What is the hundreds digit of y?
0
Let b(q) = 6*q - 4. Suppose -5*f = -5*x + 35, 5*x - 7 = -3*f - 4. Suppose v - 10 - x = 0. What is the units digit of b(v)?
4
Suppose -b - b + 3*t = 453, 5*b = t - 1165. Let z = -152 - b. Let p = z - 49. What is the tens digit of p?
3
Suppose 3*a + 7 - 49 = 0. Suppose -5*x + h = -a, 0*x + 2*x = 3*h + 16. Suppose -x*o - 3*o + 180 = 0. What is the tens digit of o?
3
Let b = 46169 - 28527. What is the thousands digit of b?
7
Suppose -2*a + 6970 = 4*c + c, 5*c = 4*a + 6940. What is the thousands digit of c?
1
Suppose -2*m + 4*d = -12, -5*m + 3*d = -0*d - 58. Suppose m*k - 3*k = 770. What is the units digit of -4 - (-68)/16 - k/(-8)?
9
What is the thousands digit of (8 + 3365)/(-4 - -5)?
3
Let x(k) = 21*k**3 + 2*k**2 + k + 4. Let t be x(-4). Let o be (-32)/112 + t/14. Let g = o - -195. What is the units digit of g?
1
Suppose 719*s = 482*s + 15633468. What is the hundreds digit of s?
9
Suppose -12*n + 88*n + 11*n - 3038301 = 0. What is the tens digit of n?
2
Suppose -5*u - 5594 = -f - 100, 0 = 3*f + 4*u - 16539. Suppose f + 14561 = 18*v. What is the units digit of v?
5
Let m be 15/(-20) - 13/4 - -8. Suppose -q - 108 = q + m*d, 4*q - d + 171 = 0. Let a = q + 90. What is the units digit of a?
6
Suppose 16940 = 2*w + 4*j, -3*w - 2*j + 9977 + 15421 = 0. What is the units digit of w?
4
Suppose 22*k + 3277406 = 143*k. What is the hundreds digit of k?
0
Let w be -4 + (-40)/(1 + -6). Suppose w*s = -f - 1, 2*f + 2*s = -2*s + 2. Suppose 3*k = -f*k + 990. What is the tens digit of k?
6
Let x(k) = -34*k + 2. Let i be x(1). Let d be -3 - i/4 - 2. What is the tens digit of (-1148)/(-24) + -1 + d/18?
4
Let x(c) be the third derivative of c**6/120 - 4*c**5/15 + 37*c**4/24 - 23*c**3/6 - 12*c**2 + 2*c. What is the hundreds digit of x(14)?
1
Let v = 306 - 312. What is the hundreds digit of (-21253)/(-15) - 5/(225/v)?
4
Suppose 603*b + 367375 = 628*b. What is the units digit of b?
5
Suppose 3*c - 103548 = -2*v, 4*v + 5*c - 170653 - 36441 = 0. What is the units digit of v?
1
Let a(i) = 11*i**2 + 18*i - 115. Let h be -13*10/(-65)*5/2. What is the units digit of a(h)?
0
What is the thousands digit of ((-30)/12)/(75/(-275580))?
9
Let p = 45 - 29. Let r = 16 - p. Suppose r = -5*o + 5*c + 195, -c + 2*c = 0. What is the tens digit of o?
3
Let v = 76017 + -40833. What is the ten thousands digit of v?
3
Suppose 10*t = 5*t + 2*b + 29845, 5*b = 0. What is the thousands digit of t?
5
Suppose 2*m - 99859 = 11*u, 17*u - 12*u = 5*m - 249625. What is the thousands digit of m?
9
Let j = 438 - 448. Let v(x) = 12*x**2 - 32*x - 371. What is the thousands digit of v(j)?
1
Let z = 14497 - 4715. What is the hundreds digit of z?
7
Let q(j) = 4 - 45*j + 6 - 54*j - 9*j. What is the units digit of q(-4)?
2
Let r be (1 + 1/(-5))/(8/180). Suppose -10 = 5*h, -r*j - 2*h = -14*j - 1172. What is the tens digit of j?
9
Suppose 5*j - 25 = 0, -173 + 54 = -4*z - 3*j. Suppose 0 = l - 369 + z. What is the units digit of l?
3
Suppose 44 - 174 = -13*r. What is the units digit of ((r - 2)/(-2) + 1)*-107?
1
Let p be 6/((-54)/(-9)) + (1 - -3). Suppose -697 - 979 = -2*s + 3*z, z = -p*s + 4173. What is the tens digit of s?
3
Let v(t) = -5*t**3 + 4*t**2 + 5*t. Let n be v(-1). Suppose -4 = -5*z + 16. Suppose 4*r = -n*a + 40, 6 + 4 = 2*a + z*r. What is the units digit of a?
5
Suppose -12414899 = -600*p - 4493099. What is the units digit of p?
3
Let c(x) = 9276*x**3 + 20*x**2 - 17*x - 2. What is the tens digit of c(1)?
7
Suppose 3*m = -2*v + v + 480, -3 = -v. Suppose 4*l - 3*p = l - m, 2*l = -4*p - 100. What is the tens digit of (l/(-5))/(20/50)?
2
Suppose 386*f - 367*f = 74404. What is the units digit of f?
6
Suppose 4*f - g = -261, 4*g = 5*f + 193 + 125. Let n = -66 - f. Suppose 11*h + 18 - 645 = n. What is the units digit of h?
7
Let n = -18 - -20. Let r(t) = -t**3 - 9*t**2 - 16*t - 10. Let g be r(-9). Suppose 2*i - 4*i + g = n*o, 5*i - 4*o - 371 = 0. What is the tens digit of i?
7
Let u = 12843 + -3603. What is the units digit of u?
0
Let a(o) = 145*o**2 - 103*o + 7. Let k be a(9). Suppose 18*p - 2477 = k. What is the hundreds digit of p?
7
Let g(f) be the first derivative of 13*f**2 - 2/3*f**3 + 5*f + 24. What is the tens digit of g(7)?
8
Let r = -21208 + 101853. What is the hundreds digit of r?
6
Let i(a) = a + 5. Let w be i(0). Let d(g) = 8*g**2 - 14*g + 28. What is the hundreds digit of d(w)?
1
Suppose -265 = -10*t + 5*t. Suppose -48 + t = n. Suppose 657 = n*j - 0*f + f, -261 = -2*j - f. What is the units digit of j?
2
Let h = -2965 + 12301. What is the tens digit of h?
3
Let z = -1267 - -2479. Let c = -844 + z. What is the tens digit of c?
6
Let o(m) = -m**3 + 9*m**2 + 2*m - 13. Let z be o(9). Suppose -z*r - 132 + 82