- 60. What is the units digit of 9/u + 8/5?
1
Suppose 0 = -3*z - 5*z + 112. Let k(a) = -6*a + 30. Let b be k(z). Let w = b - -113. What is the units digit of w?
9
Suppose 13*r + 32 = 17*r. What is the units digit of (-2)/(16/(-2650)) + (-10)/r?
0
Let n(l) = -l**3 + 7*l**2 + 25*l - 55. Let j be n(9). Suppose -3287 - 3465 = -j*h. What is the hundreds digit of h?
8
Let x be 7 + (-6 + 2 - 0). Let b(f) = f**3 + 2*f**2 - f - 7. What is the units digit of b(x)?
5
Suppose 405 = 2*h + 5*j, -2*j - 655 = -0*h - 3*h. Suppose 4*a = -51 + h. Let p = a - 16. What is the tens digit of p?
2
What is the tens digit of -2*1*((-1273551)/(-6))/(-19)?
4
Let x(s) = -s**3 + 7*s**2 + 9*s + 2. Let k be (18/(-45))/((-1)/(-40)). Let g be (9 + -8)/((-2)/k). What is the units digit of x(g)?
0
Let h be 200/2*4*(-3)/(-30). Suppose 4*j = -j + h. What is the tens digit of 35 - (j/(-4) - -1)?
3
Suppose 5*v + 5 = 0, 3*o - 4*v - 2349 + 20 = 0. Suppose -5*q - 5*m = -o, -6 = -0*m + 2*m. Let p = q - 32. What is the hundreds digit of p?
1
Suppose 0 = -15*y + 5*y. Suppose -7*p + 13*p - 1026 = y. What is the hundreds digit of p?
1
Let n(o) = 1203*o**2 - 6*o - 4. Let m be n(-1). Suppose m = 4*x - 1099. What is the units digit of x?
6
Let v be (45/(-5) - -6)/(-3). Let f(y) = 388*y**3 - 2*y**2 + y + 2. What is the units digit of f(v)?
9
Suppose -26 = 7*d - 131. Suppose d*y = 6*y + 36. Suppose -2*a - 3*m = -105, m - 225 = -y*a - 2*m. What is the tens digit of a?
6
Let m = 38 - 42. Let f be (-1288)/(-42) + m/(-3). Suppose 29*g - f*g = -3. What is the units digit of g?
1
What is the tens digit of (130 - 11) + (-1)/((-3)/15)?
2
Let i be (-58)/6*3/(-1). Let w(z) = 52*z - 68. Let t be w(8). Suppose -25*m = -i*m + t. What is the tens digit of m?
8
Suppose 0 = -7*n - 39*n + 229080. What is the hundreds digit of n?
9
Suppose -40*u + 8*u = 6*u - 126160. What is the hundreds digit of u?
3
Suppose -67*c + 1099139 = -159941 + 223461. What is the units digit of c?
7
Let y = 21 - 44. Let o = y + -5. Let s = o - -67. What is the units digit of s?
9
Let x be ((-3)/2)/(36/(-2640)). Suppose -2*u + x = 14. Suppose -t + 4*t - u = 0. What is the tens digit of t?
1
Suppose 0 = k - 8*k. Suppose 5*f - 37 = -3*p, k*p + 4*p = 3*f + 1. What is the units digit of f?
5
Let n(l) = 35*l + 6*l - 20*l + 38*l + 7*l + 231. What is the hundreds digit of n(18)?
4
Let q(z) = 3*z + 52. Let u be q(-16). Suppose 4*f = u, 5*f = 3*l + 6*f - 1372. What is the units digit of l?
7
Suppose -25 = -6*u + 3*u - 5*t, 14 = 2*u + 2*t. Suppose 13*l + 2*a + 3020 = 17*l, -u*l + a = -3769. What is the hundreds digit of l?
7
Let l(s) = 6*s + s**2 + 10*s + 9 + 2*s**2 + 0*s**2. Let o be l(-6). Let z(w) = -w**2 + 28*w - 27. What is the units digit of z(o)?
0
Let z(m) = 45*m**2 + 58*m + 3236. What is the ten thousands digit of z(-34)?
5
Let a = -20089 - -35022. What is the units digit of a?
3
What is the units digit of (21308/28)/(10/220)?
2
Let a(u) = 24*u**3 - 2*u**2 + 13*u + 9. Let i(k) = -k**3 - 3*k**2 + 2*k. Let g be i(-3). Let p be a(g). What is the hundreds digit of (-6)/27 - p/27?
1
Suppose 7259 = 3*h + 14*h. What is the hundreds digit of h + 2*(-9 - -6)?
4
Suppose 0 = -6*q - 0 - 24. Let p be (150/(-39) - q) + 1928/(-26). Let j = p + 233. What is the hundreds digit of j?
1
Let t = 19405 - 5918. What is the tens digit of t?
8
What is the thousands digit of 51860*1 - 712/(-178)?
1
Let i(h) = -h**3 + 23*h**2 - 21*h + 20. Suppose -216 = -8*w - 64. Let x be i(w). What is the units digit of 6/(-18) + x/9?
8
Let z = 4 - 0. Let c be (z + -2)*2/4. What is the units digit of -1*(0 + -1)/c?
1
Let a(s) = 3*s**2 - 5*s + 22. Let v(h) = h. Let u(o) = a(o) - 6*v(o). Let n be u(15). Suppose 0 = -9*q + 1025 + n. What is the units digit of q?
3
Let r(a) = a**3 - 15*a**2 + 13*a + 17. Let t be (-96)/(-7) - 14/(-49). Let d be r(t). What is the hundreds digit of d*(-5)/60*-548?
1
Let m be 3125 - ((-28)/2)/(-2). Let y = m - 2091. What is the tens digit of y?
2
Suppose 0 = 102*c - 96*c - 6090. Suppose -4*k + c = -3073. What is the units digit of k?
2
Let i(d) = -d**2 - d - 1. Let y be i(-1). Let c be y/(267/(-1008) + 6/21). What is the units digit of 8/c + (-470)/(-12)?
9
Suppose -27*x = 22*x - 503865 + 146998. What is the thousands digit of x?
7
Suppose 2*o - 87 = -77. Suppose -2*r - 5*t + 4*t + 159 = 0, o = 5*t. Suppose -z + 5*x + r = 0, 2*z - 4*x - x - 143 = 0. What is the tens digit of z?
6
Suppose 167*x = -4*r + 163*x + 12020, -2990 = -r - 4*x. What is the tens digit of r?
1
Let a = -16713 + 19686. What is the hundreds digit of a?
9
Let c(w) = 37*w**2 + 31*w + 601. What is the thousands digit of c(-14)?
7
Let k(w) = -811*w - 8011. What is the thousands digit of k(-25)?
2
Suppose 289 = 6*q + 43. Let s = q + 338. What is the units digit of s?
9
Suppose 20 = 13*l - 19. Suppose 0 = -2*m + 3*x + 542, 432 + 384 = l*m - 3*x. What is the units digit of m?
4
Let o(b) = 66*b**2 - 35*b + 63. What is the thousands digit of o(9)?
5
Let s be 12/5 - (-51)/85. Suppose 2*h = -s*k - 129 + 961, 4*k = 2*h - 818. What is the units digit of h?
3
Suppose -2*i - 218 = -2*u, u - 436 = -3*u + i. Suppose 5*l - 170 = -12*p + 7*p, -4*l + u = -5*p. What is the units digit of l?
1
Let c = -129 + 92. Let q(u) = u**2 + u - 20. Let j be q(-6). Let h = j - c. What is the tens digit of h?
4
Suppose 4*h - 19 = -f, -2*h + 6 = -0*h. Let d be (-357)/(-9) + f/21. What is the tens digit of (-70)/2*d/(-28)?
5
Suppose 1001828 = 42*r + 308702. What is the tens digit of r?
0
Suppose -2757752 = -72*s + 1541482 + 630750. What is the units digit of s?
2
What is the tens digit of (123 - 17)/((15/(-335))/(6/(-4)))?
5
Suppose -3*d + 95286 = -y, -334*y = -4*d - 330*y + 127032. What is the hundreds digit of d?
7
Let v(t) = -9*t + 509. Let q be v(0). Suppose 2269 = 20*x + q. What is the tens digit of x?
8
Let v(i) = i**3 + 5*i**2 + 6*i + 8. Let t be v(-3). Suppose j = 4*c - 2488, -4*c = 6*j - t*j - 2484. What is the units digit of c?
3
Let y = 278 - 179. What is the tens digit of 112*((-75)/(-132) + 18/y)?
8
Let n(y) be the third derivative of -29*y**4/4 - 17*y**3/2 - 3*y**2 - 27*y. What is the hundreds digit of n(-5)?
8
Let i = 145 - 141. Suppose 2*d = 4*m - 438, -d = -i + 3. What is the units digit of m?
0
Suppose -8*q = -26*q + 33516. Suppose 21*o + 4*y = 23*o - 1874, -y - q = -2*o. What is the hundreds digit of o?
9
Let x = -303 + 374. Suppose -19264 = 57*u - x*u. What is the thousands digit of u?
1
Let h(p) = -p**3 + 16*p**2 + 15*p - 39. Let z = 108 - 92. Let y be h(z). Let m = y + -62. What is the tens digit of m?
3
Suppose 2*m + 12*f - 14*f - 24096 = 0, 2*m - 24126 = -4*f. What is the tens digit of m?
5
Let b(w) = -2*w**3 - 21*w**2 - 23*w - 19. Let q be b(-9). Let x(m) = -2*m**3 - 109*m**2 + 31*m + 18. What is the thousands digit of x(q)?
1
Suppose 20*y + 18 - 78 = 0. Suppose -y*a + 2625 = 48. What is the units digit of a?
9
Suppose 8*o - 4*o + 600 = 4*g, 616 = -4*o - 4*g. Suppose c = -4*c + 1135. Let z = o + c. What is the units digit of z?
5
Let h(w) be the second derivative of -3/2*w**4 + 0 - 3*w**2 - 1/3*w**3 - 12*w - 1/20*w**5. What is the units digit of h(-18)?
0
Let l = -142 - -130. Let q(d) be the first derivative of -d**4/4 - 10*d**3/3 + 17*d**2/2 + 6*d + 4. What is the units digit of q(l)?
0
Suppose -128*q + 1273 - 114953 = -142*q. What is the thousands digit of q?
8
Let z(a) = 2*a**3 - 2*a**2 - 4*a - 9. Let q be z(-6). Let o = q + 1028. What is the units digit of o?
9
Suppose 2*v - 3 - 12 = -b, 4*v + 5 = 5*b. Suppose -2*f + v*y = -390 - 529, 2340 = 5*f - 4*y. What is the hundreds digit of f?
4
Let s = 9251 - -530. What is the units digit of s?
1
Suppose 39*w + 27898 - 59452 - 73122 = 0. What is the tens digit of w?
8
Let f(q) = 3*q + 5. Let o be f(0). Let b(u) = u - 8. Let v be b(o). What is the units digit of v + 1 - (-90 - 4)?
2
Let u = -3685 + 6791. What is the tens digit of u?
0
Let q(p) = 2*p**2 - 16*p - 7. Let y be q(10). Let j = -31 + y. What is the tens digit of (935/44)/(j/8)?
8
Suppose -22*o - 15*o + 137760 = 59*o. What is the thousands digit of o?
1
Suppose 18905 + 67335 = 20*o. What is the units digit of o?
2
Let v(f) = -5*f**2 + 43*f - 18. Let r be v(8). Suppose -4*z + r*z = 126. What is the units digit of z?
3
Suppose 8*w = 3*w + 3640. Let o = -191 + w. What is the units digit of 