- 23. Suppose 2*f + 0*f - 78 = 0. Suppose f = z + b. What is the tens digit of z?
3
Let p = 5339 - 3412. What is the thousands digit of p?
1
Let a(o) = -o + 18. Let w be a(15). Suppose 0 = w*u - 4*u + 207. What is the units digit of (u/15)/(9/45)?
9
Suppose 17*m - 9701 = -538. What is the tens digit of m?
3
Let a(t) = 21*t + 29. Let p(k) = -10*k - 14. Let g(q) = -3*a(q) - 5*p(q). What is the tens digit of g(-10)?
1
Suppose 16 + 507 = z. What is the units digit of z?
3
Let b be 6/9 + (-14)/(-6). Let w = -1 + b. Suppose 0 = w*z - z - 17. What is the units digit of z?
7
Suppose 85 = 3*c - 2*c. Suppose c = b + 3*w, 110 = -3*b - 3*w + 377. What is the units digit of b?
1
Let q be (-8)/(-5) - (-4)/10. Suppose -u + q*d + d = -13, 0 = -4*u - d. Suppose 0 = -3*f - u + 58. What is the units digit of f?
9
Let q(j) be the second derivative of -8*j**3/3 + 4*j**2 + j. What is the units digit of q(-5)?
8
Let y = -5 - -13. Let b be (-6)/(-5)*20/y. Suppose b*a + 78 = 6*a. What is the units digit of a?
6
Let a = -16 + 67. What is the units digit of a - 0/(-7 + 4)?
1
Let v(j) = 0*j**2 + 4*j**2 + j**2 + 5*j. What is the units digit of v(3)?
0
Let h(d) = -d**3 - 4*d**2 - 5*d - 3. Let t(x) = -x. Let c be t(0). Suppose 4*u + 4*y = -c*y, u + 5*y - 12 = 0. What is the units digit of h(u)?
3
Suppose 0 = -4*q + 3*q + 2. Suppose 2*p = 2*a + q, -p + 7*a = 2*a + 19. Suppose -3*x - 30 = -p*x. What is the units digit of x?
0
Let c be (-7 - -1)/(16/192). Let p = c + 113. What is the units digit of p?
1
Suppose c + 0*c = 8. Let f = c + -23. What is the tens digit of 130/f*6/(-2)?
2
Suppose 88357 = 33*m - 43874. What is the hundreds digit of m?
0
Suppose 1 = 3*c + 5*v, 1 = -c - 4*v - 1. What is the tens digit of 10*(c - (-1 + 1))?
2
Let i be 0/((-10)/5) - -4. Suppose -i*z + 10 = -214. What is the units digit of z?
6
Suppose -16*s + 18 = -19*s. Let y(n) = -n**2 - 9*n - 10. What is the units digit of y(s)?
8
Let d(f) = f + 14. Let o be d(-14). Suppose o*r = 3*r - 324. Let z = r + -59. What is the tens digit of z?
4
Suppose -4*k = 3*s - 0*s - 24, -3*k - 5*s = -29. Suppose 0 = 3*c - 2*g + 6*g - 38, 2*c - k*g - 48 = 0. Let o = 32 - c. What is the units digit of o?
4
Let b be ((-12)/(-30))/((-1)/55*-1). Suppose -b*d + 250 = -20*d. What is the units digit of d?
5
Let m = -8988 + 15242. What is the hundreds digit of m?
2
Suppose -w - 70 = -5*t, 3*t + 5*w - 11 = 3. Let v = 0 - t. What is the units digit of (-470)/v - 2/13?
6
Let y = -24 - -647. What is the units digit of y?
3
Let y(d) = -3*d + 5. Let l be y(4). Let q = 4 + l. What is the units digit of -1 + 0 + 14 + q?
0
Let b(z) = 685*z - 3. What is the units digit of b(2)?
7
Let n be 10/35 - 2/7. Suppose 3*o + 0*o + 288 = 5*m, n = 3*m + o - 170. Suppose 3*y = 117 + m. What is the units digit of y?
8
Suppose 0 = -2*s - 4*k - k + 2333, 5*k + 4741 = 4*s. What is the tens digit of s?
7
Suppose -111260 = -70*t + 50*t. What is the thousands digit of t?
5
Let d(j) = -j**2 + 5*j + 6. Let t be -2*(-4 - 4*-2). Let m = t - -13. What is the units digit of d(m)?
6
Suppose -2294 = -3*k - 5*x + 342, -5*k - 3*x + 4372 = 0. What is the hundreds digit of k?
8
Suppose -16 = -3*j - 1. Suppose 0 = -j*k - 6 + 31. What is the units digit of k?
5
Let n(q) = -5*q + 1496. What is the hundreds digit of n(0)?
4
Let p(q) = -2*q - 2. Let o be p(-2). Let m be -16*((-12)/(-8) - o). Let l = 15 - m. What is the units digit of l?
7
Suppose -4*s + 328 = -0*s. Suppose x - 1160 = -28*x. Let f = s - x. What is the units digit of f?
2
Let h = -44 + 258. What is the units digit of h?
4
Suppose -5*f + 1613 = -527. What is the hundreds digit of f?
4
Suppose 1 = -j + 4*n - 6, 49 = 3*j + 2*n. Let c = j + 38. What is the units digit of c?
1
Let g(v) = -2 - 6 + 14 + 0 - 3*v. Let t be g(2). Suppose -2*n - 2 = 0, t*q - 5*n - 19 = -q. What is the tens digit of q?
1
What is the units digit of 3099*((-133)/(-21) - 6)?
3
Let a(z) = -1481*z**3 - 2*z**2 - 5*z - 2. What is the units digit of a(-1)?
2
Let f = 43 - 52. Let o = 23 + f. What is the tens digit of o?
1
Let y be -1 + (1510 - (8 - 3)). What is the units digit of (-5*2/4)/((-16)/y)?
5
Let j(t) = t**3 - 5*t**2 - 5*t - 4. Let d be j(6). Let u(c) = 6*c**3 - 2*c**2 - 3*c + 6. What is the units digit of u(d)?
0
Let d(w) = 1. Let l(a) = 4*a**2 - 4*a - 2. Let s(z) = 6*d(z) + l(z). Let o be s(5). Suppose -2*m = -6*m + o. What is the units digit of m?
1
Let j(w) = -3*w**2 + 44*w - 32. What is the tens digit of j(12)?
6
Let n(r) = -r**2 + 7*r - 6. Let i be n(4). Let s be 0/(-2) - (4 - i). Suppose d - 5*t + 12 - 66 = 0, 3*t - 82 = -s*d. What is the tens digit of d?
4
Let y(c) = -c**3 + 4*c**2 + 6*c - 1. Let n be y(5). Suppose 3*u + 4*d = 30, -n*u + 5*d + 0*d = -9. Suppose 5*f = u*f - 42. What is the tens digit of f?
4
What is the tens digit of (-3 - -9)/((-2)/(-156))?
6
Let i = 660 - 410. What is the units digit of i?
0
Suppose -q - 706 = -s, -q = 4*s - 6*s + 1417. Suppose s = 63*c - 60*c. What is the hundreds digit of c?
2
Let c(m) = m**3 + 24*m**2 - 32*m + 31. Let j(q) = -q**3 - 25*q**2 + 33*q - 31. Let r(f) = 4*c(f) + 3*j(f). What is the hundreds digit of r(-22)?
1
Let r(j) = -9*j**2 - j**3 + 6*j + 4*j + 3*j - 14 - 9*j. What is the tens digit of r(-10)?
4
Suppose -j + o = 4*j, 5*j + 5*o + 30 = 0. Let c = j - -5. What is the tens digit of 48 + 0*1/c?
4
Let h(b) = -3*b**3. Let g be h(-1). Let t(l) = 1 - 7*l - 9*l + 6*l - g*l. What is the units digit of t(-2)?
7
Suppose -7*i + 3*i = 5*g - 87, -4*i + 91 = g. Let j = i + -20. Suppose -j*q + 6 = -5*t, q - t = -4*t + 2. What is the units digit of q?
2
Let c(s) = -3*s - 3. Let g be c(-5). Suppose -23*w + 6*w = -221. Suppose w*u = g*u + 3. What is the units digit of u?
3
Let j(z) = -9*z**2 + 141*z + 10. What is the hundreds digit of j(11)?
4
Suppose 0 = 4*u - 0 - 8. Suppose 2*y + 2*j - 138 = 0, -153 + 6 = -u*y + j. What is the units digit of y?
2
Suppose -53790 = 232*c - 243*c. What is the hundreds digit of c?
8
Suppose 5*h = 2*u - 864, -u - h + 2*h + 435 = 0. Suppose 4*y + 362 = -3*o, -5*y - 3*o = -7*o + u. Let z = y + 157. What is the tens digit of z?
6
Suppose 3*g + 2*y = -3*y + 809, 3*g = 5*y + 799. What is the units digit of g?
8
Suppose -3*s = -3*y - 9 + 96, y = -4*s + 34. Let d(w) = 5*w - 91. Let p be d(16). Let n = p + y. What is the units digit of n?
9
Suppose -a = 5*f + 2*a - 22, -3*f = 5*a - 26. Suppose 0 = -b + f*v + 159, 4*b - 608 = v - 0*v. What is the units digit of b?
1
Let d(g) be the first derivative of 75*g**2/2 - 3*g + 5. Let o be d(-6). What is the units digit of o/(-18) - (-1)/(-6)?
5
Let c be 2 - 1 - -1 - -10. Let m(g) = 14*g + 6. What is the units digit of m(c)?
4
Let j = 2 - 0. Suppose -w = 2*o + 1, -5 = -5*o + 3*w + j*w. Suppose o = -4*m + 39 + 65. What is the tens digit of m?
2
Suppose 91*y = 46*y + 33930. What is the units digit of y?
4
Let k(x) = 5*x**2 - 10*x. Let z be k(-8). Suppose -8*w = -12*w + z. What is the hundreds digit of w?
1
Suppose 8*n + 24 = 16*n. Let g(x) = 9*x**3 + 2*x**2 - 5*x - 5. What is the hundreds digit of g(n)?
2
Let d(w) = 3*w**3 - 3*w**2 + 3*w. Suppose 3*j + 11 = 3*g - 10, 3*j - 19 = -5*g. Suppose -g*f + 10 = -0. What is the units digit of d(f)?
8
Let m(k) = -k**3 + 1 - 10*k**2 - 7*k - 2 - 2*k + 5. Let c be m(-9). Suppose -c*y = -2*y - 36. What is the tens digit of y?
1
Suppose -2252 = -y + 1967. What is the hundreds digit of y?
2
Let f = -2726 - -4273. What is the thousands digit of f?
1
Let j be (-1)/(3 + 76/(-24)). Suppose 0 = y - 0*y. Suppose y = -d + j + 5. What is the tens digit of d?
1
Let p be (-30)/4*80/(-24). Let u = p - 17. What is the units digit of u?
8
Suppose 12423 = 3*o + 2*c, -4*c = -4*o - 5*c + 16564. What is the hundreds digit of o?
1
Let d = 109 - 106. What is the tens digit of 143 + 1/d*3?
4
Let u(x) = -x**3 + 53*x**2 - 15*x - 46. What is the thousands digit of u(52)?
1
Suppose -4*q - 946 = -3*g, -g + 3*q + 632 = g. What is the hundreds digit of g?
3
Let u be (2 + -1)*(8 - 1). Suppose -u*y + 1745 - 576 = 0. What is the units digit of y?
7
Let f(b) be the second derivative of -b**4/12 + 44*b**2 + 5*b. Let l be f(0). Suppose -174 = -4*g - 5*p, 2*g + p - l = -p. What is the tens digit of g?
4
Let x(d) = 8*d**2 - 17*d - 16. Let l be x(-6). Let n = -221 + l. What is the units digit of n?
3
Suppose -7620 = -16*m + 6*m. What i