- 8. Suppose 0 = d*r - 121 - 265. What is the hundreds digit of r?
1
Suppose -4*u = -9 + 13. Let i(y) = 69*y**2 + 4*y + 4. What is the tens digit of i(u)?
6
Let u(z) be the first derivative of -z**6/360 - z**5/12 + z**4/4 - 11*z**3/3 + 9. Let i(b) be the third derivative of u(b). What is the tens digit of i(-7)?
2
Suppose 0 = 28*v - 608 - 3396. What is the hundreds digit of v?
1
Suppose 2*l = -w - 6, w - 3 + 1 = 0. Let p(i) = -24*i + 1. What is the tens digit of p(l)?
9
Let s(j) = 10*j**2 - 1. Let a be s(1). Suppose -5*t + 6 = -a. Suppose 25 = 2*r - t*f + 6*f, -4*f - 97 = -5*r. What is the tens digit of r?
1
Suppose -3104 = -7*j + 291. Suppose 169 = -4*z + j. What is the units digit of z?
9
Let c(q) = -2*q**2 - 18*q + 5. Let j be c(7). Let m = j - -314. What is the units digit of m?
5
Let c(m) = -m**3 + 10*m**2 - 22*m + 6. Let i be c(6). Suppose -22*l + 476 = -i*l. What is the units digit of l?
9
Suppose -3*x - 6 = -2*x - 4*l, 3*x - 38 = -2*l. What is the tens digit of (316/x)/((-4)/(-20))?
5
Let u be 2/(-2) + 1 - -4. Let f = -74 - -117. Suppose f = -u*s + 5*s. What is the units digit of s?
3
Suppose 4*f + 2586 = 3*c, -4310 = -5*c + 3*f - 8*f. What is the tens digit of c?
6
Let h(p) be the first derivative of p**6/180 - 3*p**5/40 + p**4/6 + 5*p**3/3 + 8. Let n(w) be the third derivative of h(w). What is the units digit of n(5)?
9
Let v be 1/(-2) - 22/4. Let h(s) = s**3 + 5*s**2 - 8*s - 8. Let t be h(v). Suppose -t*u = -4*w - 96, 66 - 15 = 2*u - 5*w. What is the tens digit of u?
2
Let l be (-5)/10*1 - (-15)/2. Suppose 471 = -l*n + 10*n. What is the hundreds digit of n?
1
Suppose 4*n + 243 = g, -2*g + 311 + 165 = -3*n. Let v = 408 - g. What is the hundreds digit of v?
1
Let w be (-3)/((-3)/2) + 3. Suppose -5*z + w*j = -165, j + 99 = 3*z + 2*j. Suppose 0 = 5*s - 3*a - 19, -z = -5*s - 3*a - a. What is the units digit of s?
5
Suppose 0 = 4*i - 9*i + 1085. Let q = 0 + 5. Suppose -q*u + n + 3*n = -278, -4*u + 5*n + i = 0. What is the units digit of u?
8
Suppose -12*q + 863 + 265 = 0. Suppose 0 = -k - 25 + q. What is the tens digit of k?
6
Suppose -105*z - 4522 = -107*z. What is the tens digit of z?
6
Let s(u) = u**3 - 7*u**2 - 9*u + 9. Let x be s(8). What is the units digit of -1*x/2*-122?
1
Let p(f) = -4*f**3 + 33*f**2 + 7*f + 7. What is the tens digit of p(7)?
0
Let p(z) = 2*z**2 - 12*z - 11. Let m be p(10). Let w = -9 + m. What is the tens digit of w?
6
Suppose -4*o + 1431 = -2909. Suppose 0 = 5*j + 2*h - o, -106 = -j + 4*h + 89. What is the hundreds digit of j?
2
Suppose 0 = 6*g - 2563 - 2555. What is the tens digit of g?
5
Suppose 5*h - 5 = 10. What is the units digit of 21 + 1/h*-3?
0
Let d(m) = m**2 + 8*m + 10. Let s be d(-8). Suppose 192 = s*o - 7*o. Suppose -5*f - 280 = -5*z, -152 - o = -4*z - 4*f. What is the tens digit of z?
5
Let b(r) = 2*r**3 + 5*r**2 + 33*r - 17. What is the units digit of b(7)?
5
Let i be (0/(1 - 5) + 2)*1. Suppose -7 = -i*b - 1, 2*b - 468 = -3*l. What is the tens digit of l?
5
Let x(p) = -p**2 + p - 1. Let n be x(-7). Let c = n + 103. What is the tens digit of c?
4
Let g(t) = -32*t - 297. What is the units digit of g(-24)?
1
Suppose -q - 2*a + 50 + 37 = 0, -435 = -5*q - a. What is the tens digit of q?
8
What is the thousands digit of 1775 + 5*6/10 + -5?
1
Let j be 4 + -4*(-4)/(-8). Suppose 0 = -j*h + 48 - 44. What is the units digit of h?
2
Let k = 11 - 9. Suppose 2*q - 2 = -4*i, 2*q - 6 = -2*i + k. Let g = q - -34. What is the units digit of g?
1
Let p(n) = -87*n - 9. Let m be p(-6). Suppose 9*s + 0*s - m = 0. What is the units digit of s?
7
Let z(q) = 4*q**2 + 12*q - 5. What is the tens digit of z(-11)?
4
Let w(l) = -l**3 + l**2 + l - 2. Let o be w(0). Let k(c) = -13*c**3 + c**2 - 2*c - 2. Let m be k(o). Suppose 5*y = -35 + m. What is the units digit of y?
5
Suppose -9 = -y - 4*j + 3, 3*j - 9 = 0. Suppose y = 7*b + b - 24. What is the units digit of b?
3
Let l = 0 - -10. Suppose 6*g - l - 62 = 0. What is the units digit of (212/6)/(8/g)?
3
Let o = 210 - 202. What is the units digit of o?
8
Let s = 154 + -279. Let p = s + 403. What is the units digit of p?
8
Let q(u) = 6*u**2 - 5*u + 8. What is the units digit of q(8)?
2
Let s(f) = 3*f - 2. Let y(w) = -39*w + 27. Let l(b) = -27*s(b) - 2*y(b). Let v be l(2). What is the units digit of -2*3/v - -7?
8
Let x be ((-12)/(-8) + -1)*8. Let r(s) = s**3 - 4*s**2 + 2. Let c be r(x). Suppose -3*h - 4*f - 2 = -30, c*h = 5*f + 57. What is the tens digit of h?
1
Let w(g) = -64*g + 3. Let y be w(-1). Let u = -27 + y. What is the units digit of u?
0
Let n(t) be the first derivative of 2*t**3 + t**2/2 + t + 9. What is the units digit of n(-1)?
6
Let h(r) = 10*r**2 - 4*r - 2. Let k be h(4). What is the units digit of (k/(-6))/(18/(-54))?
1
Suppose 3*u + 9 = 4*r, -4*r + u + 8 = -3. Suppose r*q + q = 280. What is the units digit of q?
0
Suppose 86*k = 85*k + 360. What is the hundreds digit of k?
3
Suppose -2 = -4*x - x - h, 3*h = -2*x + 6. Suppose 3*o - 4*a - 291 = -8*a, -4*o - 5*a + 389 = x. What is the tens digit of o?
0
Suppose 5*o - 6*o = 2*b - 1049, 0 = -b - 2*o + 526. What is the units digit of (-3)/(-9) - b/(-12)?
4
Let r = 60 + 109. What is the units digit of r?
9
Let s(p) = p**2 - 8*p + 3. Suppose 5*i - 10 = z - 5*z, 6 = -2*z + 3*i. Let t = z + 9. What is the units digit of s(t)?
2
Let f be 51/4 + (-15)/(-60). What is the tens digit of 88/(-3)*(f - 16)?
8
Let c(l) = 7*l**2 + 6*l + 37. Let p(v) = -6*v**2 - 6*v - 37. Let t(z) = -4*c(z) - 5*p(z). What is the units digit of t(-8)?
7
Let a(v) = -v - 1. Let k(n) = n**2 - 4*n - 7. Let r(w) = -2*a(w) + k(w). What is the tens digit of r(-4)?
1
What is the tens digit of (-11426)/(-12) - 5/30?
5
Let x(s) = 2*s - 4. Let t be x(4). What is the units digit of (1 + t)*119/35?
7
Let z = -13 - -17. Suppose j + 15 = -z*j. What is the tens digit of 2 + j + 28 - 0?
2
Suppose 0*h - 5*h = 10. Let q be h - (2/(-1) - -1). What is the tens digit of q/5 + (-122)/(-10)?
1
Let n be 60/36 - (-36998)/6. Suppose 15*o = n - 2388. What is the units digit of o?
2
Let s(w) = 2*w**2 - 50*w - 292. What is the thousands digit of s(45)?
1
Let a(l) = -l**2 - 2*l + 310. Let o be a(0). Suppose 5*c - o = 270. What is the hundreds digit of c?
1
Let h(b) = 198*b**3 - 3*b**2 + 1. Let p be h(1). What is the units digit of (p/35)/(4/10)?
4
Let r(d) = -d**3 + d**2 - 2. Suppose 0 = 3*k - 0*k. Let b be r(k). What is the units digit of b/(-6) + 2370/45?
3
Let j(u) = -u**3 - 2*u**2 + 2*u. Let x be j(-3). Suppose l + x*b = -5, 3*l - 2*b - 14 = l. Suppose -l*d + 240 = d. What is the units digit of d?
8
Suppose 1 + 3 = 2*m. Let p be 4/m - (1 - 2). What is the units digit of 1 - (-15 + -3)*p?
5
Suppose 30*s + 493 = 31*s. What is the tens digit of s?
9
Suppose 111*h - 118*h = -29904. What is the thousands digit of h?
4
Let b be 6/(-2) - -10 - 2. Suppose 8 = -b*q - 2. Let z = q - -24. What is the tens digit of z?
2
Suppose 4*j = -2*v - 8, 3*v - 6 = -0*j + 3*j. Suppose 6*i - 10 - 74 = v. What is the units digit of i?
4
Let b(p) be the third derivative of 1/3*p**3 + 1/60*p**5 - 1/12*p**4 + 0*p + 7*p**2 + 1/40*p**6 + 0. What is the tens digit of b(2)?
2
Suppose 11*c + 375 - 1101 = 0. Let j = c + -45. What is the units digit of j?
1
Let y(d) = 16*d - 17 - 4 - 2*d + 10. What is the units digit of y(5)?
9
Let w = -11 + 11. Suppose w = 4*z - 4*g - 36, -3*z + g + 9 = -18. What is the units digit of z?
9
Suppose -2*g + 2417 = -4*y + 5*y, 5*g - 6044 = -4*y. What is the hundreds digit of g?
2
Suppose -4*z = w + 183, 4*w + w = 5*z + 210. What is the units digit of 305*(-9)/z*1*3?
3
Let l be 178*(-1 - 9/(-6)). Suppose 4*j = 481 - l. What is the tens digit of j?
9
Let v = 240 + -78. What is the hundreds digit of v?
1
Let j = 918 - 383. What is the tens digit of j?
3
Suppose w = 5*i - 152, -i - 2*w + 99 = 2*i. Suppose 4*y = -f + y + 51, -f + y + i = 0. What is the units digit of f?
6
Let h(d) = 131*d**2 + 3*d - 2. Suppose 3*w + 50 - 53 = 0. What is the hundreds digit of h(w)?
1
Let a be 2 - 404/(-8)*2/1. Let o = -15 + a. What is the tens digit of o?
8
Suppose 770 = -14*k + 7*k. Let s = k + 288. What is the units digit of s?
8
Let a(m) = 2*m**2 + m - 5. Let w(q) = 3*q**2 + 3*q - 10. Let z = 0 - 4. Let n(j) = z*w(j) + 7*a(j). What is the tens digit of n(5)?
3
Suppose 20*r = 28*r - 120. What is the 