-13*r + 10*r + a = 0. What is the units digit of (-3438)/(-15) - ((-9)/r)/(-3)?
9
Suppose 0 = n + 8*i - 22422, -2*n - 53*i + 50*i + 44831 = 0. What is the hundreds digit of n?
4
Let r be (1 - -1)/((-26)/(-8489)). Let g = -339 + r. Let c = g + -111. What is the hundreds digit of c?
2
Let r(f) = f**2 - 17*f + 18. Let j be r(16). Suppose -5*t + 287 = 4*w, 2 = -j*t - 0. Suppose 0 = 42*l - 43*l + w. What is the tens digit of l?
7
Let l = 3430 + 38980. What is the hundreds digit of l?
4
Let x = 84 + -67. Let k(q) = -87*q - 11 + 79*q - x. What is the hundreds digit of k(-17)?
1
Suppose 2*k + 2*q = -110, 5*k + q = 2*q - 251. Let b = -56 - k. What is the units digit of (41 - (-3)/(-3)) + 4 + b?
9
Suppose -8470*m - 43732 = -8474*m. What is the hundreds digit of m?
9
Suppose -6*l + 15808 = -3458. What is the hundreds digit of l?
2
Suppose 18996 = -122*u + 134*u. What is the hundreds digit of u?
5
Let n(g) = -2*g + 55 - 6*g - 1358*g**3 + 1361*g**3 + 2*g - g**2. What is the thousands digit of n(8)?
1
Let i(o) = o - 17. Let t be i(-7). Let f be 36/t - (-486)/4. Suppose 2*m = -4*b + 196, 5*m - 592 + f = -b. What is the units digit of m?
4
Suppose r = 47*s - 50*s + 45519, -3*r = 3*s - 45513. What is the units digit of s?
4
Let p be 10712/(-7) - ((-9)/7 + 1). Let m = -699 - p. What is the hundreds digit of m?
8
Let y(q) = -4*q**3 - 428*q**2 - 631*q - 213. What is the units digit of y(-106)?
9
Let f(w) = w**3 + 20*w**2 + 12*w + 39. Let r be f(-17). What is the units digit of (-4*(-3)/24)/(1/r)?
1
Let a = -201 + 189. Suppose 3*s - 1399 = -3*g - g, -3*g + 3 = 0. What is the units digit of 8/5*-2*s/a?
4
Suppose -6*w + 0 = -144. Suppose -8135 = -w*u + 25. What is the tens digit of u?
4
Suppose 3*p - 1580 = -2*m - 0*p, -p = 5*m - 3924. Let z = 1219 - m. What is the units digit of z?
5
Suppose 0 = -103*g + 15683 + 711909. What is the tens digit of g?
6
Suppose 1455 = 7*y - 1030. Let c = 448 - y. What is the units digit of c?
3
Let i(n) = -n**3 - 19*n**2 - 18*n + 5. Let z be i(-18). Suppose -4*k = -h - 2461, -z*k + 2*k = -h - 1846. Suppose 7*v = 8 + k. What is the units digit of v?
9
Let v be ((2/(-3))/(32/48))/1. What is the tens digit of (0 + v)/(3/(-84))?
2
Suppose -7*w + 63 = 2*w. Suppose 0 = -3*s + w*s + 612. Let h = 251 + s. What is the units digit of h?
8
Let z = -278 - -282. Suppose -592 = -z*j - 276. What is the tens digit of j?
7
Let a be 3/(-2)*(-7)/((-105)/(-40)). Let m be a/(-14) + (-138)/(-42). What is the tens digit of (m + -5)*1 - -67?
6
Let d(o) = -o**3 + 4*o**2 + 15*o - 18. Let b be d(-12). Suppose 19344 = 17*h + b. What is the thousands digit of h?
1
Suppose -5*s = -4*g - 7690, 109*s - 106*s - g - 4614 = 0. What is the hundreds digit of s?
5
Suppose 6*c + 123 = -387. What is the tens digit of 10/c + 57075/51?
1
Let b(n) = 3*n**2 - 87*n + 4789. What is the tens digit of b(105)?
2
Let x = -1844 - -31557. What is the ten thousands digit of x?
2
Let l(f) = -f**3 - 11*f**2 - 11*f - 11. Let n be l(-10). Let d be 1 - (3 + n) - 5. Let t(g) = g**2 + 4*g - 3. What is the units digit of t(d)?
9
Suppose 43*w - 73126 + 44049 = 50516. What is the thousands digit of w?
1
Let u(g) = 12*g**2 + 2*g - 293. What is the units digit of u(-11)?
7
Let g(d) be the first derivative of -d**3/3 - d**2/2 - 7. Let j be g(0). Suppose -2*a - 4*m + 7*m + 82 = 0, a + 4*m - 41 = j. What is the units digit of a?
1
Suppose -642*w + 644*w = 11976. Suppose -16*v - w = -21*v + 3*i, 3*v = -2*i + 3589. What is the thousands digit of v?
1
Let s be 9/(-12) - 297/(-44). Let h(b) = -b**3 + 5*b**2 + 4*b + 19. Let v be h(s). Suppose -371 - 84 = -v*m. What is the tens digit of m?
6
Let c = 15835 - 6432. What is the tens digit of c?
0
Suppose 5*q + 49275 = 3*k, -2*k + 5*q + 22733 = -10112. What is the thousands digit of k?
6
Let a = -8584 - -18124. What is the units digit of a?
0
Let g = 14 - 12. Suppose 0 = -g*x + 41 + 39. Suppose 11*k + x = 16*k. What is the units digit of k?
8
Let l(z) = z + 5. Let g be l(-11). Let i(x) = x**3 + 23*x**2 + 4*x + 17. What is the tens digit of i(g)?
0
Suppose 81*l - 79*l - 10 = 0. Suppose -l*j = r + 246, 4*j + 230 = -2*r + 38. Let o = j - -104. What is the tens digit of o?
5
Let q(z) = -11*z**2 - z + 2. Let m(i) = 5*i**2 + i - 1. Let y(p) = 7*m(p) + 3*q(p). What is the units digit of y(-17)?
9
What is the units digit of ((-6457)/22 + -29)*(-160)/6?
0
Let c be (11/11)/((-2)/(-4)). Suppose -3*t - 1747 = -4*f, -2*t + c*f + 2*f = 1158. What is the hundreds digit of 0 - t/3 - 4/(-6)?
1
Let p = -34259 + 20417. Let d be (-1)/((-12)/(-54) - (-3094)/p). Suppose 306 = -0*n + 2*n - 2*x, 5*n - x = d. What is the units digit of n?
4
Let k(j) = 8*j**2 - 22*j - 227. Let b be k(-10). Suppose 29*s = b + 1005. What is the tens digit of s?
6
Let a(m) = 325*m**2 - 17*m - 649*m**2 + 42 + 325*m**2. What is the units digit of a(21)?
6
Let l(i) = 95*i**3 + 2*i**2 - 13. Let d be l(3). Suppose 3*j = -2*a + 1281, 0 = 4*a - 4*j + 2*j - d. What is the units digit of a?
2
Suppose -47*h + 676492 = 86736. What is the thousands digit of h?
2
What is the ten thousands digit of ((-33)/(-110)*-5)/((-9)/66372)?
1
Let y(s) = 9*s + 10 + 9 + 13 - 8. Let b be y(-8). What is the tens digit of ((-6)/(b/(-380)))/(1/(-2))?
9
Let m be ((-237)/395)/((-2)/10740). Suppose -m = -p - 2*p. What is the thousands digit of p?
1
Let d be -3*3*60/(-45). Suppose -4*l + 2336 = d*l. What is the tens digit of l?
4
Let u(g) = -6*g - 144. Let v be u(-25). Suppose -3*r = -v, 31 = 3*p - 3*r - 305. What is the tens digit of p?
1
Suppose 28*z + 68 = 32*z. Suppose -z*n + 495 = -8*n. Suppose 5*p + n = 5*m + 1040, 3*p = 5*m + 601. What is the tens digit of p?
9
Let u be ((-167)/4)/((-12)/(-48)). Let q = u + 1234. What is the units digit of q?
7
Let o(m) = 52*m**2 - 5*m - 20. Let n(d) be the first derivative of -26*d**3/3 + d**2 + 10*d + 4. Let l(i) = 5*n(i) + 3*o(i). What is the tens digit of l(-3)?
3
Suppose b - 41 = -2*m, 4*b + m = -m + 158. Let p = 266 + -121. Let v = p - b. What is the hundreds digit of v?
1
Let c be -138*(-89 - 0)*1/2. Suppose 10*m - c = -13*m. What is the hundreds digit of m?
2
Let m = -119 + 127. Let u(f) = 7*f**3 - f**2 - f + 1. Let k be u(1). Suppose k*a = 2*a + m. What is the units digit of a?
2
Suppose -4*z - 115*c + 112*c = -92671, 5*c = 2*z - 46303. What is the tens digit of z?
6
Suppose 1436 = -5*c + 2*w, 4*w + 50 = c + 348. What is the tens digit of c/(2 - 168/78)?
5
Suppose -5*q = -2*v + 367, 0*v = 3*v + 5*q - 613. Let l(f) = f**2 + 6*f + 8. Let y be l(-4). Suppose y*i + v = i. What is the tens digit of i?
9
Let m(i) = -12*i - 15. Suppose -459 = -8*y - 115. Suppose f - y + 47 = 0. What is the units digit of m(f)?
3
What is the tens digit of 209920/22 + 90/297*(-6)/(-10)?
4
Let g be 2/(-9) + 275737/99. Suppose 203 + g = 4*n. Let o = n + -484. What is the hundreds digit of o?
2
Let d(x) = -98*x - 294. What is the tens digit of d(-78)?
5
Let c(i) be the first derivative of i**3/6 + i**2 + 28*i + 38. Let v(r) be the first derivative of c(r). What is the tens digit of v(10)?
1
Suppose -5 = -3*b - p, 2*b - b - 23 = 5*p. Let i(t) = 3*t - 13. Let j be i(6). Suppose b*n = -2*n - k + 452, -j*n - 5*k = -460. What is the units digit of n?
0
Suppose -43 = g - 3*x + 331, 0 = g + 7*x + 414. Let j = g - -580. What is the hundreds digit of j?
1
Let c = 4774 - 3782. What is the hundreds digit of c?
9
Suppose 67*h + 170007 = 70*h + 3*f, 3*f = -2*h + 113343. What is the thousands digit of h?
6
What is the hundreds digit of (-916968)/(-130) - (2 - (-21)/(-15))?
0
Let o be 2/(-4)*1*-4. Let j = -286 + 614. Suppose 4*q - j = -4*b, -o*b = -3*q - 0*q - 169. What is the tens digit of b?
8
Suppose -5*a + 940 = -5*d, 4*a + 6*d = 3*d + 780. Suppose -11*w + a + 1194 = 0. What is the units digit of w?
6
Let i(l) = -2*l**3 - 52*l**2 - 113*l - 362. What is the hundreds digit of i(-32)?
5
Let c(m) = -23*m**3 - 1. Let h(l) = 2*l**2 - 11*l - 15. Let g be h(7). Suppose 8*j + g + 2 = 0. What is the units digit of c(j)?
2
Let t(q) = -3*q - 33. Let s be t(-17). Suppose 0 = a - s - 1. Suppose -18*m = -a*m + 76. What is the units digit of m?
6
Let b = -16442 - -34609. What is the tens digit of b?
6
Suppose -27391 + 102191 + 71766 = 29*p. What is the hundreds digit of p?
0
Let h(v) = -v**3 - 19*v**2 + 18*v + 60. What is the hundreds digit 