0 = q*y - 70 - 23. Suppose 4*n - y - 5 = 0. What is the units digit of n?
9
Let n = -4 + 42. Suppose 2*z - 4*y + 2*y + 20 = 0, 5*z - 2*y + n = 0. Let l(x) = x + 8. What is the units digit of l(z)?
2
Suppose 0 = -3*t - l - 11, 4*t - 3*l + 5 = -1. What is the tens digit of (-498)/t*(6/(-4))/(-3)?
8
Let z be 2/13 + (-112)/52. Let r be 27/(-18) - (-3)/z. What is the tens digit of -4 - (-1 + r) - -38?
3
Suppose -12*g = 2*b - 8*g - 2004, -5*g + 25 = 0. What is the units digit of b?
2
Suppose -9*p + 3*a + 587 = -7*p, 5*p - a = 1448. What is the units digit of p?
9
Suppose -v - 2*v + 36 = 0. Suppose -v*r + 69 = -747. What is the tens digit of r?
6
Let w(x) = x**2 - 3*x + 2. Let s be w(1). Suppose s = -2*h + 4*h - 3*g - 404, 4*g = 3*h - 608. What is the tens digit of h?
0
Let h(k) = 727*k**2 + 5*k + 3. Let f be h(-1). Suppose 5*o + 3*q - f = 0, o = 3*q + 42 + 85. What is the hundreds digit of o?
1
Let n(a) = a - 1. Let f be n(-3). Let t = -1 - f. Suppose o + 2*d = -t + 23, -2*o - d + 28 = 0. What is the tens digit of o?
1
Let s(y) be the second derivative of 3*y**5/20 - y**4/12 + y**2/2 - 9*y. Let m be s(1). Suppose -m*l = -8*l + 190. What is the units digit of l?
8
Suppose 5*g - 619 = -4*y, -139 = 2*y - 3*y + 4*g. What is the units digit of y?
1
Suppose 0 = t - 2*t + 14. Let d(p) = p**3 - 15*p**2 + 13*p + 19. Let m be d(t). What is the tens digit of m/(3/6 - 0)?
1
Let d = 436 + -173. Suppose 4*z = -s + 63, 3*z - d - 52 = -5*s. What is the tens digit of s?
6
Suppose -2*u + 6 = 2, -4*u = -4*o. Suppose o = -2*i + 12. Let b = i - -14. What is the tens digit of b?
1
Suppose 0 = -0*i + 2*i - 4*t + 14, -5*i = 4*t + 91. What is the units digit of (-342)/(-15)*i/(-2)?
1
Suppose 923 = 5*x - 2887. What is the hundreds digit of x?
7
Let w(f) = -13*f**2 + 44*f + 42. Let q(o) = -7*o**2 + 22*o + 21. Let d(y) = -11*q(y) + 6*w(y). What is the units digit of d(17)?
6
Let w(v) = v**3 - 2*v**2 - v - 11. Let j(k) = k**3 - k**2 - k - 11. Let u(b) = 6*j(b) - 7*w(b). What is the units digit of u(5)?
1
Suppose -4*h = x - 26, 4*h - 2*x = -6*x + 32. What is the tens digit of h*(-10)/(-15)*10?
4
Suppose 146*s + 5502 = 153*s. What is the tens digit of s?
8
Suppose -p - 291 = -5*j + 267, -p + 552 = 5*j. What is the hundreds digit of j?
1
Suppose 48*t - 2159 = 47*t. What is the units digit of t?
9
Suppose -5*u + 46 = -3*u. Suppose 0 = -4*d + 65 + u. What is the units digit of d?
2
Let j(z) = -z**3 - 6*z**2 + 2. Suppose b + 2*b - 27 = 0. Suppose b*q - 6*q = -18. What is the units digit of j(q)?
2
Let q(i) = i**3 - 45*i**2 + 44*i + 72. Let l be q(44). Suppose 213 = -5*r - 2*x, 2*r + 2*r + 148 = 4*x. Let m = r + l. What is the units digit of m?
1
Let w = -1940 + 3971. What is the hundreds digit of w?
0
Let h(y) be the first derivative of y**4/4 + 10*y**3/3 - 3*y**2/2 - 10*y + 31. What is the units digit of h(-10)?
0
Let j = -713 - -1199. What is the tens digit of j?
8
Suppose i = -21 - 5. What is the tens digit of (-13)/i*(1 + 37)?
1
Let u(n) = -7*n - 2. Let t = -18 + 27. Let q = 3 - t. What is the tens digit of u(q)?
4
Suppose 269 = 5*v - 6*u + 8*u, -v + u = -58. Suppose v*b = 50*b + 1200. What is the units digit of b?
0
Suppose -5*x - q + 852 = 0, 4*q = -5*x - 99 + 942. Let h = x + -80. What is the tens digit of h?
9
Let g(y) = 18*y**2 + y. Let o be g(-1). Let r = o + -9. Let k = r - -20. What is the units digit of k?
8
Let g be (-15*6/9)/(-4 + 2). Suppose -i - 672 = -g*v, -3*v = v + 2*i - 546. What is the hundreds digit of v?
1
Let k = 22 - 23. What is the units digit of (-11)/(-2) - k/(-2)?
5
What is the units digit of (0 - (-1478)/12)/(426/12780)?
5
Let r(w) = -2*w - 15. Let f be r(-8). What is the tens digit of (-2)/(-9) - (f + 1006/(-9))?
1
Let g be 3 - (-32 - -1 - -1). Let t(m) = 5*m**3 + m**2 + 2*m + 4. Let s be t(-2). What is the units digit of 8/s + g/27?
1
Suppose -13*f + 16*f - 741 = 0. What is the hundreds digit of f?
2
Let h(t) = t - 3. Let o be h(-2). What is the tens digit of (8 - 26)*o/2?
4
Let c(y) = y**2 - 2*y + 3. Let o be c(2). Suppose -o*p = p - 184. Suppose 10 - p = -4*a. What is the units digit of a?
9
Suppose -29*o + 8*o + 19509 = 0. What is the hundreds digit of o?
9
Suppose 6*z = z + 5*t + 750, 20 = -4*t. What is the units digit of z?
5
Suppose 5*o = f + 14456, -4*o + 9892 + 1668 = 4*f. What is the thousands digit of o?
2
Let r(o) be the first derivative of -o**3/3 - 13*o**2/2 + 4*o - 15. What is the units digit of r(-8)?
4
Let p = -277 - -338. What is the tens digit of p?
6
Let m(l) = 1332*l - 4. What is the thousands digit of m(1)?
1
Suppose 5628 = -358*y + 362*y. What is the thousands digit of y?
1
Let u be (-1)/3 - 124/(-12). Suppose -3*y = 5*g - 22, y + g + 2*g - u = 0. What is the tens digit of y/2 - 306/(-9)?
3
Suppose 3 = l + 3*t, -3*l - 5*t + 2 = -7. Suppose -218 + 47 = -l*j. What is the units digit of j?
7
Let m = -2229 + 2856. What is the tens digit of m?
2
Suppose -2*w + 12 = 3*h + w, 5*w = 2*h + 6. Let d(i) = i**2 - h*i - 58 + 9*i + 67. What is the units digit of d(-6)?
3
Suppose -5*g + k = 1892, -164 + 1296 = -3*g - k. Let b = 595 + g. What is the units digit of b?
7
Let i = 14 - 12. Suppose -4*r + 4*j - 10 = -6*r, i*r + 5*j = 11. Suppose -53 = 3*u - 5*u - d, r*d = 9. What is the tens digit of u?
2
Let i = 6162 + -3297. What is the hundreds digit of i?
8
Suppose -27*j = -19*j - 7144. What is the hundreds digit of j?
8
Let a = 78 + -61. Suppose -4*i + a + 67 = 0. What is the tens digit of i?
2
Let o be 2/(3 - 1) + 9. Suppose 4*g - 42 = -o. Suppose g*v = 5 + 3. What is the units digit of v?
1
Let j(t) = t**2 - 7*t - 13. Let z be j(-4). Let x = -29 + z. Suppose x*r + 3*g = 54, -r + 108 = 3*r + 5*g. What is the tens digit of r?
2
Suppose 8293 = 5*w - 667. What is the tens digit of w?
9
Let v be 5 + -2 - 20/5. Let g be (13 - 7)*v/(-3). Suppose -406 = -5*i + 2*c, 5*i + 2*c - 234 = g*i. What is the units digit of i?
0
What is the units digit of -3 + 2/14 + (-26352)/(-168)?
4
Suppose 7*i + 109 = -66. Let t = i + 8. Let w(j) = -j**2 - 17*j + 5. What is the units digit of w(t)?
5
Suppose -11*w + 7*w = -340. Let r = w - 37. What is the tens digit of r?
4
Suppose 270*o = 271*o - 1362. What is the thousands digit of o?
1
Let o be (55/(-10))/((-1)/2). Let l(j) = 4 - 4 + 12*j - 9*j. What is the units digit of l(o)?
3
Suppose -3 = 3*n, 0 = -6*t + 11*t + 4*n + 119. Suppose 4*l = -4*i - 12, -3*i = 3*l + i + 8. Let b = l - t. What is the tens digit of b?
1
Let v(d) = d**2 - 7*d + 8. Let g be v(8). What is the tens digit of 1/((g/(-4))/(-184))?
4
Suppose 2*b = q - 0*b - 1733, 5*q - 8647 = b. What is the hundreds digit of q?
7
Let o be (-1)/(2 + -1) - 0. Let w(i) = 18 + 5*i**2 + 15 - 32 + 2*i. What is the units digit of w(o)?
4
Let j(d) = -d**3 + 12*d**2 - 3*d - 18. What is the units digit of j(9)?
8
Let c = 105 - 100. Suppose -c*d = 2*n - 1280, -d - 2*n = -5*n - 256. What is the tens digit of d?
5
Let b = 5 + 24. Suppose -4*m + h = b - 254, -2*m + 2*h = -120. What is the units digit of m?
5
Suppose 9*o + 12 = 11*o. Suppose 2385 = -o*i - 483. What is the units digit of i/(-7) + 12/(-42)?
8
Let j(x) = 36*x**2 + x. Let r be 6/15 + (-35)/25. What is the tens digit of j(r)?
3
Suppose 0 = 4*z - 4*g + 388, -3*z + g = 2*g + 295. What is the units digit of (-42)/z - (-130)/7?
9
Let v(b) = 2*b**2 + b - 14. Let o(z) = 6*z**2 + 4*z - 41. Let c(h) = 3*o(h) - 8*v(h). What is the tens digit of c(-11)?
8
Suppose 0 = j + d - 3*d + 6, -3*j - 5*d - 29 = 0. What is the tens digit of (-174)/(((-30)/j)/(-5))?
3
What is the hundreds digit of ((-4)/6)/((-70)/27615)?
2
Let d = -79 + 486. What is the units digit of d?
7
Suppose 2*k + 2 = 4*k, 2*f - 105 = -5*k. Suppose f = 2*p - 82. What is the tens digit of p?
6
Suppose 0 = -2*b - 4*d + 1014, 2040 = 8*b - 4*b + 5*d. What is the units digit of b?
5
Let a = 277 - -782. What is the thousands digit of a?
1
Suppose 2*c + 276 = 8*c. Suppose c = 3*p + 1. What is the tens digit of p?
1
Let n(q) = -q + 1. Let l(c) = 8*c - 10. Let x(m) = l(m) + 6*n(m). Let g = -269 + 275. What is the units digit of x(g)?
8
Suppose -16*k = -2*b - 12*k + 1676, b + k - 829 = 0. What is the units digit of b?
2
Suppose g = -160 - 41. Let z = g - -338. What is the units digit of z?
7
Let r(p) be the third derivative of p**5/12 - 5*p**4/24 - 2*p**3 - 5*p**2. What is 