3*o - 1. Suppose -11 = -g*w - 1. Suppose -46 = -p - 3*u, -49 - 52 = -w*p - 3*u. What is the units digit of p?
5
Let x(y) = 4*y. Let l be x(1). Let m be -4 + l + (2 - 2). Suppose m = -3*j + 101 - 5. What is the units digit of j?
2
Let p(j) = -6*j**2 - 2*j + 4. Let i be p(-7). What is the units digit of i/14*-14*(-4)/(-8)?
8
Let l be (-37)/(-4) - 1/4. Let k = 2 - l. Let f = -1 - k. What is the units digit of f?
6
Let f be -229*(-4)/(-6)*21/(-14). Suppose -2*p + f - 71 = 0. What is the units digit of p?
9
Let j be ((-38760)/(-84))/((-2)/(-14)). What is the tens digit of 4/(-14) - j/(-133)?
2
Let h(u) = u**2 - 15*u - 1. Let g be h(15). What is the units digit of (g - 2)/(-3) - -32?
3
Let b(q) be the second derivative of -q**5/20 + 17*q**4/12 + 19*q**3/3 + 3*q**2/2 - 7*q. What is the units digit of b(19)?
3
Suppose 0 = -50*w - 12296 + 37646. What is the hundreds digit of w?
5
Suppose -180 = 7*v - 12*v. Suppose -4*j + 6 = h - 3, 5*j = 4*h - v. Let r(l) = l**3 - 10*l**2 + 11*l - 13. What is the units digit of r(h)?
5
Let f = -28 - -32. Let k(g) = 2*g**3 - 10*g**2 + 8*g. Let l be k(f). Suppose -6*h + 603 - 213 = l. What is the tens digit of h?
6
Let g(i) = 8*i - 5. Suppose 0 = 4*q - 0*q - 20. Suppose 4*u - 2*p + p - 16 = 0, -q*u - 3*p + 37 = 0. What is the tens digit of g(u)?
3
Suppose 3*y + 2*y - 120 = 0. Let z = y - 18. Suppose z*i - i = 30. What is the units digit of i?
6
Let v(x) = -x**2. Let z(t) = 8*t**2 + 5*t - 1. Let l(k) = -18*v(k) - 2*z(k). Let g be l(8). Suppose g = 4*j - 2. What is the units digit of j?
3
Suppose -5*j + 3325 = 4*o + o, -4*j + o = -2685. What is the hundreds digit of j?
6
Suppose -676 = -23*f + 121201. What is the thousands digit of f?
5
Let i = -308 - -590. What is the tens digit of i?
8
Suppose -3*k - 2*k + 2*i = -12, i - 5 = -3*k. Suppose -3*x - k*x = -120. What is the units digit of x?
4
Let d(k) = 2 + 48*k**2 - 11 + 65*k**2 - 5*k - 35*k**2. What is the units digit of d(-2)?
3
Suppose -9*o = -27*o + 11052. What is the hundreds digit of o?
6
Let c = -838 + 3961. What is the units digit of c?
3
Suppose -22*o + 27*o - 280 = 0. Let n = -33 + 53. Let k = o - n. What is the units digit of k?
6
Let z(u) = 2*u**2 + 5*u - 2. Suppose -5*v - 3*p + 57 = -38, 4*v - 44 = 4*p. Let c = 19 - v. What is the tens digit of z(c)?
3
Let c(f) = -f - 6. Suppose 2*r + r - 20 = q, 0 = 4*q - r + 36. Let n be c(q). Suppose 10 = n*k - 0*k. What is the units digit of k?
5
Suppose 33*p - 45*p = -15432. What is the tens digit of p?
8
Suppose -2*h + 66 = -5*f, -4*f = -5*h + 4 + 42. Let s be (44/f)/(10/(-70)). Suppose 5*v - s = 4*v. What is the units digit of v?
2
Let j(i) = 2*i - 24. Let b be j(11). Let v(d) = 39*d**2 - 4*d + 1. What is the tens digit of v(b)?
6
Let c = 29 + -17. Suppose 0 = 7*w - 4*w - c. Suppose w*t = -4*s + 20, -4*t = -3*s - 28 - 27. What is the tens digit of t?
1
Let f(x) be the third derivative of -x**6/60 + x**5/60 - x**4/6 + 5*x**3/6 - 4*x**2. Let n be f(-5). What is the tens digit of ((-1)/(-2))/(6/n)?
2
Suppose 6*p = 3*p + 12. Suppose -3*g - p = 2. What is the units digit of (-6 - 33)/(-3 - g)?
9
Let k be 2/(-3) - (-20)/3. Suppose k*u - u = 10. Suppose -u*s = s - 27. What is the units digit of s?
9
Let s(m) = 6*m - 6. Let i = -9 - -14. Suppose -o + 29 = i*t, 2 = -4*t - 4*o + 38. What is the tens digit of s(t)?
2
Let t = -4 - -6. Let g be ((-7)/2)/7*(-2 + 2). Suppose -4*m = 5*w - 19 - 122, g = -t*w + 3*m + 38. What is the units digit of w?
5
What is the hundreds digit of ((-456)/5)/((-146)/4380)?
7
What is the units digit of (1/(-5) + 1)/(162/112995)?
8
Let o = 42 + 50. Let r = o + -41. What is the units digit of r?
1
Let h be -264 + -2 + (0 - 2). Let t = -186 - h. Suppose 3*i = 29 + t. What is the units digit of i?
7
Let n(c) = 3*c - 24. Let m be n(8). Suppose m = 5*z + 6*x - 2*x - 77, -x + 29 = 2*z. What is the units digit of z?
3
Let j = -82 + 86. Suppose 5*i + y + y = 897, -713 = -j*i + 3*y. What is the tens digit of i?
7
Suppose 51 = 7*i - 8*i. What is the tens digit of (-2 + 4)/((-6)/i)?
1
Let v(k) = 3*k - 45. Let j be v(13). Let s(a) = -23*a - 3. What is the hundreds digit of s(j)?
1
Let q = -82 + 262. Suppose q = -13*n + 15*n. What is the units digit of n?
0
What is the units digit of (99/2)/(-12 + (-25)/(-2))?
9
Suppose -58 = 4*y - 2*y. Let g = y + 151. What is the units digit of g?
2
Let l(z) = 7*z + 29. What is the units digit of l(7)?
8
What is the hundreds digit of (-15755)/(-20) - (-105)/84?
7
Let k be (3/(-1))/3 + -5. Let d be k/2 - (5 - 3). Let p(z) = -z**3 - 2*z**2 + 5*z + 2. What is the tens digit of p(d)?
5
Suppose 25*g - 22*g - 819 = -4*p, 411 = 2*p + g. What is the tens digit of p?
0
Let v(x) = 15*x**2 - x - 4. Let l be v(-2). Suppose 6 = 2*r + l. What is the units digit of -2 + 4 + r/(-2)?
5
Let l = -8 + 11. Suppose l*p - 38 = -11. Let z = 15 - p. What is the units digit of z?
6
Suppose 8*h = 6*h + 2, 4*j = 2*h + 14. Let m(z) = 32*z + 2. What is the tens digit of m(j)?
3
Suppose -9 - 48 = 3*w. Let n be 1/((-58)/w + -3). Suppose -n - 13 = -2*h. What is the units digit of h?
6
Suppose 37*m - 49*m = -1296. What is the units digit of m?
8
Let x = 7970 - 2589. What is the thousands digit of x?
5
Suppose 29 = -3*r + 4*h, 0*r + h = 5*r + 37. Let l(s) be the second derivative of -7*s**3/6 + 2*s**2 - s. What is the units digit of l(r)?
3
Let h(t) = -6 - 3 - 7 - 3*t - 5. What is the units digit of h(-15)?
4
Let l(n) = 2*n**2 - 21*n + 3. Let b be l(11). Suppose b = r - 76. What is the tens digit of r?
9
Let t(x) = 76*x**3 - 3*x**2 + 4*x - 3. Let v be t(2). Suppose 8*q - v - 111 = 0. What is the tens digit of q?
8
Let s = 505 + -886. Let u = -157 - s. What is the units digit of u?
4
Let t(f) = 10*f**2 - 3. Let v be t(1). What is the hundreds digit of (v - (-234)/2)*9/4?
2
Let b = -65 - -67. Suppose -b = 5*j - 3*f - f, -3*j + 3 = -f. What is the units digit of j?
2
Let l = -57 - -181. What is the tens digit of l?
2
Suppose -j + 1556 = -328. What is the tens digit of j?
8
Suppose -11*m + 6771 = 26*m. What is the tens digit of m?
8
Let g(s) = 43*s - 2. Suppose -6 = 4*p - 2*d, -5*p - 2*d + 20 = d. What is the units digit of g(p)?
1
Let c = 2 - 4. Let k = 1 - c. Suppose k*w - 46 = 83. What is the tens digit of w?
4
Suppose -4*a + 281 = -455. Let c = 355 - 225. Let p = a - c. What is the tens digit of p?
5
Let f = -1729 - -3110. What is the hundreds digit of f?
3
Let c = -42 + 34. Let k = c - -12. What is the units digit of k?
4
Let t(j) = 5*j**2 + j**3 + 0*j + 4*j**2 + 6*j + 0*j + 12. What is the units digit of t(-6)?
4
Suppose 1 + 7 = 4*b. Suppose -b*i - 42 = -154. What is the tens digit of i?
5
Let r(l) = -l**3 - 9*l**2 - 7*l - 15. Let i = -31 + 38. Let s = i + -16. What is the units digit of r(s)?
8
Let y be (-21*3)/((-3)/3). Let s = -89 + y. What is the tens digit of 0/(0 - 3) - s?
2
Suppose -49 - 15 = -4*a. Let r be -2 - -2 - 0 - a. Let w(k) = -4*k - 23. What is the tens digit of w(r)?
4
Suppose 24*x - 31*x + 1547 = 0. What is the units digit of x?
1
Suppose -8*v - 802 + 4898 = 0. What is the tens digit of v?
1
Let g(b) = -b + 3. Let s be (-64)/(-12) + (-4)/(-6). Let c be g(s). What is the tens digit of (1/c)/(1/(-42))?
1
What is the hundreds digit of (-1 + 3)/(25025/(-3577) + 7)?
5
Suppose -2*n = -4*n - 4, -5*n = -3*r - 8. What is the hundreds digit of (r/8)/3 + 3165/20?
1
Let w(t) = 3*t**3 - 2*t + 232. What is the units digit of w(0)?
2
Suppose -325*h = -320*h - 5500. What is the hundreds digit of h?
1
Suppose -5*g = -5*x + 375, -4*x - g + 228 = -77. What is the tens digit of x?
7
Suppose 0 = -4*b + 2*w + 7060, 0*b + 3*b = -5*w + 5269. What is the units digit of b?
3
Let i be -2*(-4)/(-4)*-2. Suppose -i*n = 5*q - 38 - 24, -3*q + 5*n + 52 = 0. Let c = q + -4. What is the units digit of c?
0
Let l(f) = 2*f**3 - 2*f**2 - 3*f. Suppose -7*j = -6 + 20. Let t be (j - (1 - 3)) + 3. What is the tens digit of l(t)?
2
Let x be (-33)/(-77) + 370/(-14). Let l = 15 + x. Let r = l - -76. What is the tens digit of r?
6
Suppose 4*f - 3 = 6*f + 5*k, 3*f - 33 = 5*k. Suppose -109 = -n + 4*m, 4*m = 3*n + f*m - 341. What is the tens digit of n?
1
Let o = 9 + -19. Let p = o - -19. Suppose -2*t - p = -1, -d + t = -8. What is the units digit of d?
4
Suppose -50*o - 1379 = -51*o. What is the thousands digit of o?
1
Let s = -14 + 17. Sup