- 18. What is the units digit of h(a)?
2
What is the units digit of (-30)/(-40) - (-630333)/36?
0
Suppose 198*x = 201*x. Suppose 3*b - 34*b + 38440 = x. What is the units digit of b?
0
Let q(m) = -m**2 - 22*m - 4. Let s(t) = -t. Suppose -70*a + 72*a = 2. Let f(x) = a*q(x) - 3*s(x). What is the units digit of f(-8)?
4
Let v be ((-9)/(-4))/((-6)/(-8)). Suppose -4*y = 16, -v*r = 2*r + 5*y - 2030. What is the hundreds digit of r?
4
Suppose 3*t = -c + 202, -3*c + 2*c - 4*t + 199 = 0. Suppose 3*f - c = 5*a, 0 = -5*f + a + 2*a + 357. Let v = f - 35. What is the tens digit of v?
3
Let u be 58/5 + (-36)/60. Suppose -2*t + u*t = 1125. What is the units digit of t?
5
Let z(k) = -k**2 + 13*k - 37. Let t be z(5). Suppose -t*i - 13 = -31. Suppose -i*u - 6*u = -432. What is the units digit of u?
6
Suppose 740 = -85*r + 105*r. Suppose -1524 = 35*t - r*t. What is the units digit of t?
2
Let x(o) = -2*o**2 - 7*o - 12. Let t(l) = -l**2 - l - 1. Let j be (-6)/(1 - (2 - 3)). Let f(q) = j*t(q) + x(q). What is the units digit of f(-6)?
1
What is the hundreds digit of (56/126)/(2 + (-664251)/332127)?
2
Suppose -58 = -2*m + 5*y + 601, 3*m = -2*y + 1036. Suppose -8*z + 5*z = -m. Suppose z - 14 = k. What is the tens digit of k?
0
Let n(w) = 20*w**3 - 94*w**2 + 4*w - 57. What is the units digit of n(18)?
9
Let r = -133942 - -211631. What is the tens digit of r?
8
Suppose -3*j + 7 = 3*q - 5, 2*j + 4*q = 2. Suppose j*w = 8*w - 10. Suppose 15*m - w*m = 725. What is the units digit of m?
5
Let d = 669 - 651. Suppose 0 = d*a - 48*a + 25290. What is the units digit of a?
3
Suppose -10*b + 2*z = -15*b + 56823, 5*z + 45432 = 4*b. What is the units digit of b?
3
Suppose 0 = d - 1, -y - 3*d = -5 - 4. Suppose -3*a + 3*w + 9 = 0, -a + 4*w + y = a. Suppose 2*i = -2*q + a*i + 6, -2 = i. What is the units digit of q?
2
Let f = -3066 - -26405. What is the thousands digit of f?
3
Suppose 4*k = -281 + 717. Suppose 7*f = -k + 1873. What is the tens digit of f?
5
Let b(x) = 227*x**2 - 25*x - 30. Let a be b(-10). Suppose -4*t + 34*t = a. What is the hundreds digit of t?
7
Let p be (1421/(-14))/(1/2). Let g = p - -500. What is the units digit of g?
7
Let a be 4*(-2)/((-16)/(-14)). Let y(j) be the third derivative of -j**6/120 - 2*j**5/15 - j**4/2 + 2*j**3 - 3*j**2. What is the units digit of y(a)?
7
Let j(a) be the first derivative of 157*a**4/4 + a**3 - 2*a**2 + 2*a - 8. What is the tens digit of j(1)?
5
Suppose -a + 177 - 2 = 2*s, -s = 5. Suppose -a*t - 50 = -187*t. What is the tens digit of t?
2
Suppose -373 + 47233 = 6*r. What is the thousands digit of r?
7
Let v be 23322/42 + 2/(-7). Suppose -46*c - v = -49*c. What is the units digit of c?
5
What is the hundreds digit of (-2383)/(23/(-1104)*4)?
5
Let u(a) = a**3 + 22*a**2 + 40*a + 4. Let r be u(-20). Suppose 4*b + r*q - 657 = 3*q, 4*q = 2*b - 324. What is the units digit of b?
4
Let v(h) = h**2 + 3*h + 1. Let p be v(-2). What is the hundreds digit of (204 - (p + 0)) + 2?
2
Suppose 14*d = 16*d + 50. Let w be 2/(-10) + -1 + (-80)/d. Suppose w*o - 68 = -0*o. What is the units digit of o?
4
Let x(n) = 8*n + 3. Let b(d) = -25*d - 9. Let y(f) = 3*b(f) + 8*x(f). Let s be y(-2). Let v = s - -53. What is the units digit of v?
2
What is the hundreds digit of (-564)/18*(-942)/8*2?
3
Let y(a) = -2*a - 1. Suppose -4*r = 12, x = -r - 0*r - 8. Let u be y(x). Let p(k) = k**2 - 2*k + 1. What is the units digit of p(u)?
4
Let b be 945/195 - 2/(-13). Suppose -b*f - 15 = 0, -3*q + 599 = 5*f - 1549. What is the tens digit of q?
2
Let r(w) = w**3 + w**2 - w + 28. Let y be r(6). Let j = -25 + y. What is the tens digit of j?
4
Let o(a) = 42*a**2 - 429*a - 4. What is the units digit of o(-16)?
2
Let z = 468 - 951. Let g = -350 - z. What is the hundreds digit of g?
1
Let o(c) = c**3 - 5*c**2 - 17*c + 2. Let p be o(6). Let f = p - -127. Let k = -50 + f. What is the tens digit of k?
1
Suppose 5*q - 121439 = 872*v - 875*v, -4*q = 2*v - 97154. What is the units digit of q?
2
Let r(k) = -k**2 + 9*k - 9. Let n be (-7 + 3)*-1 + 1. Suppose w - n*i = -14, -3*i - 5 = -w - 11. What is the units digit of r(w)?
9
Suppose -492402 - 303822 = -104*v. What is the tens digit of v?
5
Let g(w) = 57*w - 300. Suppose 0 = -104*i + 108*i - 128. What is the tens digit of g(i)?
2
Suppose 2*x - 3*k - 6345 - 2805 = 0, 22865 = 5*x - 5*k. What is the tens digit of x?
6
Suppose 22*l = -6*h + 21*l + 326290, 5*l = -40. What is the hundreds digit of h?
3
Suppose 0*g + 5*g - 15 = 0. Suppose 4*q + 267 = 8*q + m, g*m + 219 = 3*q. What is the units digit of q?
8
Let h(w) = -1530*w**3 + 2*w**2 + 5*w + 4. What is the tens digit of h(-1)?
3
Let x be (-1 - -1)/((-24)/(-12)). Suppose x = -g + c - 168 + 891, 3*c - 1431 = -2*g. What is the tens digit of ((-14)/(-8))/(18/g)?
7
Suppose -5*b + 25 = 0, -2*c + 4*b = 8*b - 28. Suppose -2*z = -5*a - 363, a + 534 = 3*z + c*a. What is the tens digit of z?
7
Let n be (-21 - 21/(-7))*(-2)/(-6). What is the tens digit of 6/(-30)*-707 + n/(-10)?
4
Let w = -10726 - -18069. What is the thousands digit of w?
7
Let v(y) = -13 + 103*y - 12 - 105*y. Let h be v(-15). Suppose -x = -h*u - 10, 4*x = 4*u + u + 100. What is the units digit of x?
0
Suppose -3 = -f - 3*q + 14, -f = -2*q + 8. Suppose 2330 - 641 = 4*a + 5*x, a - 419 = f*x. What is the tens digit of a?
2
Suppose 3*x + g - 4471 = 99, x + 5*g = 1528. Suppose -5*l = -x - 2087. What is the hundreds digit of l?
7
Let b(q) = 188*q + 8. Let c(u) = -u**3 - 6*u**2 - 3*u + 1. Let t be c(-3). Let g(h) = 562*h + 25. Let v(o) = t*b(o) + 6*g(o). What is the tens digit of v(1)?
9
Suppose -54 = 2*f - 64. Suppose -f*z - 17 = 3*t - 307, 2*z + 4*t - 102 = 0. What is the tens digit of z?
6
Suppose 142 = 7*r - 4394. Let h = r - 348. What is the hundreds digit of h?
3
Let r(t) = 3*t + 35. Let c be r(-11). What is the units digit of (-71488)/(-128) - (-1)/c?
9
Suppose 118*p + 4*t = 115*p + 26063, -2*t - 8701 = -p. What is the hundreds digit of p?
6
Suppose -36*t = -40*t - 2*j + 51802, 2*t = 3*j + 25905. What is the thousands digit of t?
2
Let r(g) = 2*g**3 - 25*g**2 - 23*g - 5. Suppose -5*k = 2*z - 82 + 30, 3*z + k - 52 = 0. What is the tens digit of r(z)?
1
What is the tens digit of 3863 + ((-68)/(-10) - 6/(-30))?
7
Suppose 0 = 3*o - 15, 0 = 4*c - 22*o + 27*o - 126225. What is the hundreds digit of c?
5
Let m = 252 - 261. Let h(s) = s**3 + 10*s**2 + 3*s + 24. What is the tens digit of h(m)?
7
Let a(g) = -24*g + 109*g + 11 + 15*g - 3. What is the units digit of a(3)?
8
Let r(j) = -j**3 - j - 1. Let v(u) = u**3 - 6*u**2 + 7*u + 2. Let l(c) = 2*r(c) + v(c). Let k be l(-7). Suppose 0 = n - 49 + k. What is the units digit of n?
5
Suppose 0 = 4*k - 213*h + 209*h - 263232, 3*k = -3*h + 197448. What is the ten thousands digit of k?
6
Suppose -379175 = -63*h + 1623154. What is the hundreds digit of h?
7
Let d(t) = t + 1. Let a be d(-2). Let q(x) = -17*x**3 - 3*x**2 - 2*x + 10. Let f be q(-2). What is the tens digit of -9*(-3)/(-9) - f/a?
3
Let y = 180 - 175. Suppose 3*i - 1432 = -24*h + 23*h, -5*h = y*i - 2380. What is the hundreds digit of i?
4
Let h = 42 + -40. Let p(r) = 0*r**3 + 5*r - 8*r + 63*r**3 + h. What is the tens digit of p(1)?
6
Suppose q - 46 - 24 = -4*s, 370 = 4*q - 2*s. Suppose 0 = -4*k + k - 3*f + q, 2*k - 69 = f. Suppose -k*g = -36*g + 60. What is the tens digit of g?
2
Let o = 192 - -503. Let k = 1352 - o. What is the tens digit of k?
5
Suppose -4*h - 5*m = 570 - 84635, -3*m - 42027 = -2*h. What is the units digit of h?
5
Let h(p) = -143*p**3 - 23*p**2 - 15*p - 55. Let m(y) = 48*y**3 + 8*y**2 + 5*y + 19. Let c(i) = 6*h(i) + 17*m(i). What is the units digit of c(-2)?
1
Let a(m) = -m**3 + 14*m**2 + 17*m - 26. Let v be a(15). Let b = -1 + v. Suppose -b*z + 648 = 3*z. What is the tens digit of z?
0
Let w = -5514 + 15227. What is the tens digit of w?
1
Suppose 104761 = 9*f - 45935. What is the thousands digit of f?
6
Suppose 0 = -5*k - 14*m + 9*m + 66355, -2*m + 39811 = 3*k. What is the units digit of k?
9
Suppose 2*q + 17729 = -4*m + 53187, 5*q + 3*m = 88631. What is the units digit of q?
5
Let s = 88758 + -59857. What is the hundreds digit of s?
9
What is the units digit of (-103994)/(-21) + 286/231 + (-4)/3?
2
What is the units digit of ((-156)/(-18))/((-3)/(-10926)*4)?
1
Suppose 4*d + 2*z - 10 = 0, 2*d - d + 3*z = 0. Suppose i +