units digit of a?
2
Let i(n) = 12*n - 162. Let s be i(13). Let y(w) = w + 43. What is the tens digit of y(s)?
3
Let f(k) = 496*k**3 - 2*k**2 - k + 3. Let x be f(1). Suppose d - y - 170 = y, -3*d + x = y. What is the units digit of d?
6
Let k(g) = -418*g**3 + 22*g - 5*g**2 + 60 + 833*g**3 - 423*g**3. What is the tens digit of k(-5)?
2
Suppose 15*j - 3*j = 5484. Suppose -241 = -3*p + 2*x + j, 0 = -p + 5*x + 237. What is the tens digit of p?
3
Suppose 444*f - 15712832 - 627256 = 0. What is the tens digit of f?
0
Let z be 178/26 + 6/39. Suppose 1 - z = -3*p. What is the units digit of (-1)/(p - 675/335)?
7
Let j(u) be the second derivative of -u**5/20 + 2*u**4/3 - 7*u**3/6 - 3*u**2/2 - 25*u. What is the tens digit of j(4)?
3
Let s be 84/(-1*(-2)/(-4)*-4). What is the units digit of (6 - (-4320)/s)*14?
4
Let f = 679 + -679. Suppose -2*y - 4*r = -2270, 10*y - 7*y - 2*r - 3429 = f. What is the tens digit of y?
4
Let c(s) = -4 - s**3 + 95*s**2 - 6 + 2*s**3 + 0*s**3 - 102*s**2 - 15*s. Let l(b) = -b**3 - 3*b**2 - 3*b + 1. Let i be l(-3). What is the units digit of c(i)?
0
Suppose 5*d = -2*o + 118335, -13178 = -3*o + 2*d + 164410. What is the tens digit of o?
9
Suppose -3*i + 4*j = -42537, 5*i - 35069 = -4*j + 35858. What is the ten thousands digit of i?
1
Let z be ((-18)/4)/(39/(-52)). Suppose 0 = -2*r + z, -u + 6*r - 3*r = 4. Suppose 7*w - 1656 = -u*w. What is the units digit of w?
8
Suppose -r = -4*j + 55, 0*j + 5*r + 28 = j. Suppose j*a = 23*a - 4380. What is the hundreds digit of a?
4
Let d = 51593 + -36028. What is the units digit of d?
5
Suppose -152*b + 3366596 = -13*b - 6439020. What is the tens digit of b?
4
Suppose 150777 + 172660 = -410*z + 429*z. What is the thousands digit of z?
7
Let d = 9 - 3. Let h be (67 - -5)/((9/d)/3). Suppose 158 = 2*r - h. What is the units digit of r?
1
Let c(s) = s**2 + 2*s + 398. Let r be c(0). Let i = r + 55. Suppose 4*x = -3*v - 0*x + i, -760 = -5*v - 5*x. What is the units digit of v?
5
Let h(t) = 4598*t - 2017. What is the thousands digit of h(5)?
0
Let y = -2667 + 4692. What is the thousands digit of y?
2
What is the units digit of 1030*634/4*6/30?
1
Suppose -2*s = -4*a - 14, 2*a - 3*s + 15 = -3*a. Let q = 99 - 36. Let l = a + q. What is the tens digit of l?
5
Let z = 18 + 47. Suppose 0 = -2*n + x + 62, -3*n - 5*x + 54 = -z. What is the units digit of (13 + 2)*11/n?
5
Let y be (1 + (-450)/3)*-7. Let q = y + -418. What is the tens digit of q?
2
Let w(i) = 14*i - 27. Let a be w(4). Suppose -2 = 2*s, 0*x = -2*x - 5*s - a. What is the tens digit of (7 - 4)/(x/(-856))?
1
Let a be (-8)/4 - (-6)/(-3). What is the tens digit of (-4)/7 - (21592/14)/a?
8
Suppose 7*b - 531 = 16*b. Let z = 19 - b. What is the tens digit of z?
7
Suppose -4*s + 4*u = -24932, 3*s - 212*u + 217*u = 18699. What is the thousands digit of s?
6
Let n be (-6)/(-8)*(-12)/18*6. Let r be -2*(-88)/64*(n - 1). Let f = r - -28. What is the units digit of f?
7
Let p = -3 + 91. What is the units digit of (4 - 10) + p + -1?
1
Let l(t) = 105*t + 1. Let o be l(-1). Let b = 109 + o. Suppose 0 = 4*n + h - 228, -2*n = -b*h + 2*h - 114. What is the tens digit of n?
5
Suppose 10*s = -36267 + 66348 + 122899. What is the hundreds digit of s?
2
Suppose 5*j - 47219 = -2*p, 3*p + 41*j = 46*j + 70866. What is the tens digit of p?
1
Let z(g) = -g**2 - 24*g + 53. Let v be z(-22). Let s = -86 + v. What is the tens digit of s?
1
Let h(p) = 25*p + 65. Let n(o) = 76*o + 192. Let c(v) = -7*h(v) + 2*n(v). What is the hundreds digit of c(-10)?
1
Let i = 378 + -375. Suppose -3*t + 212 = i*c - 100, 4*t - 448 = 4*c. What is the hundreds digit of t?
1
Suppose 77*h - 105*h + 266000 = 0. What is the thousands digit of h?
9
Suppose 0 = -5*p + 2*p. Let i(m) be the first derivative of m**2/2 + 31*m - 47. What is the units digit of i(p)?
1
Let k(z) = -z**2 - 5*z + 19. Let j be k(-7). Suppose -2*o - 3*f = -5, -5*f + 0*f = -j*o. Let g(q) = 122*q + 2. What is the tens digit of g(o)?
2
Let p(h) be the first derivative of 3*h**4/4 - 4*h**3 + 45*h**2/2 + 22. Let d(i) be the second derivative of p(i). What is the units digit of d(11)?
4
What is the units digit of (5225/50 - 22)*234/15?
7
What is the ten thousands digit of (2 - 1 - (1 + 4))*(-1028069)/196?
2
Suppose 3*s = 5*k - 288, 4*k = -s + 2*s + 89. Let y = s + 147. What is the units digit of y?
6
Let w be (-209)/((-7)/28*2). Suppose 14*o - 10*o - 810 = -5*p, 2*o - 4*p = w. What is the tens digit of o?
0
Let o(i) = 2827*i - 1125. What is the tens digit of o(3)?
5
Let j be (-10 + 15)*(-44)/(-10). Suppose 18*a - j = 32. Suppose 0 = 4*w - 3*q - 854 + 9, -q = a. What is the units digit of w?
9
Let z(x) be the third derivative of 0*x + 19*x**2 - 5/3*x**4 + 0 + 4/3*x**3. What is the units digit of z(-2)?
8
What is the tens digit of 238027/69 - ((26/(-6) - -5) + -2)?
5
Let j(z) = 2*z**2 + 36*z - 9. Let f be j(15). Suppose 0 = -12*g + 3*g + f. Suppose -3*a - l + 337 = 0, 0 = a - 0*a + 2*l - g. What is the tens digit of a?
1
What is the tens digit of (-9)/(-6) + 13636/(-6)*60/(-80)?
0
What is the tens digit of 24/8*(-3 - 2800)*(-6)/9?
0
Suppose 2*d = 4*k + 13888, 3*d = -0*d - k + 20881. What is the tens digit of d?
5
Suppose 2*p - 16 = -2*a - 8, -2*a = -p - 8. What is the units digit of 33/((a + 0)/12)?
9
Let c be (-30)/24*(-2)/(-5)*0. Suppose c = -10*w + 18*w - 328. What is the tens digit of w?
4
Let c = -24682 - -52327. What is the ten thousands digit of c?
2
Let r(u) = 153*u + 8. Let p(i) = -i**2 + 2*i + 123. Let x be p(-10). What is the hundreds digit of r(x)?
4
Suppose 6874 = 5*l - w - 4888, -2*w = 4. What is the units digit of l?
2
Suppose a + 5*f = 4*a - 874, -f - 585 = -2*a. Suppose 0 = -2*o + 2*c + 242 - 638, 0 = -3*o - 3*c - 618. Let p = a + o. What is the units digit of p?
1
Let t(k) = 116*k**2 + 46*k + 876. What is the units digit of t(-14)?
8
Let n = -2550 + 25226. What is the hundreds digit of n?
6
Let d(r) = -336*r - 2891. What is the thousands digit of d(-22)?
4
Suppose -3*k + 3*g + 11235 = 0, -37*g + 18695 = 5*k - 32*g. What is the thousands digit of k?
3
Let q = -274 - -502. Let x = q + -123. What is the tens digit of x?
0
Suppose 0 = -85*q + 84*q - 11. Let l(k) = -34*k + 44. What is the units digit of l(q)?
8
Suppose 3*l + 323 = i, -3*l + 293 - 1274 = -3*i. Let b be (1*(5 + 4))/((-6)/138). Let p = i + b. What is the units digit of p?
2
Let c(b) = -b**2 + 2*b - 2. Let k be c(3). Let t(w) = -1. Let o(s) = s**3 + 14*s. Let g(m) = -o(m) + 6*t(m). What is the units digit of g(k)?
9
Suppose v - 51 = -36. What is the hundreds digit of -5*(-708)/v - (1 - 0)?
2
Suppose -l - 7*y + 2*y = -610, 5*y = 5*l - 2900. Suppose l = 10*i - 1205. What is the tens digit of i?
7
Let n(u) = 106*u**2 + 3*u - 7. Let z(k) = -19*k + 269. Let j be z(14). What is the hundreds digit of n(j)?
9
Let m = -2781 + 5560. Suppose 2*d = -2*t - 4016, 0 = 3*t - 5*d + m + 3245. What is the tens digit of t/(-32) + 1/4?
6
Suppose -47591 + 324617 = 101*u - 225651. What is the hundreds digit of u?
9
Suppose -645*f + 211 = -644*f + 4*i, -5*f + 4*i + 1055 = 0. What is the hundreds digit of f?
2
Let m = -772 - -2597. What is the units digit of m?
5
Suppose c - 2*j = 596, -29*c + 3*j + 1187 = -27*c. What is the units digit of c?
6
Let i = 479 + -476. What is the tens digit of 291 + -1 - (i - -3)?
8
Let o be 27*1 + 14/(-14). Let n(y) = y**2 + 22*y - 103. What is the tens digit of n(o)?
4
Let b = -12645 + 34730. Suppose b = 30*s + 935. What is the tens digit of s?
0
Let i(x) = -29*x + 888. What is the units digit of i(-65)?
3
Let l = -540 - -768. Let c = l - -231. What is the hundreds digit of c?
4
Let t(r) = -21*r - 3. Let u be t(0). What is the units digit of (-2143)/(-4) + u/4?
5
Suppose 18*k + 3576 = 21*k - l, -k + 1192 = 4*l. What is the tens digit of k?
9
Suppose -5*g - 2*g + 14 = 0. Suppose -3*q + g*q + 3 = 0. Suppose -m + 4*p = -110, 5*m = q*m + 2*p + 250. What is the tens digit of m?
3
Let a be 7 - (8/6)/(14/21). Suppose -4*f + w + 9 = 0, -w = -2*w - a. What is the units digit of (f*10)/((-15)/(-120))?
0
Suppose -31*y - 13072 = -33*y - 5*p, y - p - 6522 = 0. What is the thousands digit of y?
6
Let b(s) = 13*s**2 + 91*s - 204. What is the tens digit of b(43)?
4
Let g be ((-87)/15 + 5)/((-4)/50). Suppose 9 - 39 = -g*a. What is the units digit of ((-4 + a)*6)/2 - -194?
1