k(-15). Suppose -20 = -9*n + a. Suppose -78 = 3*j - n*j. What is the units digit of j?
6
Suppose -46 - 34 = -4*z. Suppose 5*f = z, f = t - f + 6. Suppose 0 = k + 2*i - 44, 5*k - t*i + 3*i - 211 = 0. What is the units digit of k?
2
Suppose -4*j + 2*j + 326 = 3*h, -5*j + 2*h = -815. Let w = -53 + j. Let o = w + 12. What is the hundreds digit of o?
1
Let l(y) = 30*y**2 + 33*y + 4. What is the units digit of l(-26)?
6
Suppose -2*t - 4*h + 156 = 734, t - 4*h + 307 = 0. Let d = -137 - t. What is the tens digit of d?
5
Suppose 546023 = 21*b - 235051 - 468888. What is the hundreds digit of b?
5
Let f(j) = j**3 - 6*j + 10. Let k be f(4). Suppose k = -t + 70. Suppose -2*a + 6 + 34 = -s, -5*s = a - t. What is the units digit of a?
0
Suppose y = -2*i + 31563, 2*y - 189406 = -4*y - 5*i. What is the units digit of y?
1
Let v(r) be the second derivative of 11*r**4/6 + 5*r**3/6 - 9*r**2/2 + 3*r. Let i be v(-5). Let h = i - 362. What is the hundreds digit of h?
1
Suppose 22*b - 12 = 16*b. Suppose -b*o + 5*g + 2570 = 0, 2*o + o = 5*g + 3855. What is the thousands digit of o?
1
Let a(k) = -k**3 - 6*k**2 + 6*k - 19. Let d = -93 + -24. Let w = d - -109. What is the tens digit of a(w)?
6
Let c be (-186)/8*(1 + 10/(-2)). Suppose 0 = i + 2*k - 631, -i - k + c + 535 = 0. What is the units digit of i?
5
Let k be 11 - (-12)/(-48)*32. Let c(d) = d - 2. Let a be c(4). Suppose 4*g + 3*n - 326 = 27, -k*n - 181 = -a*g. What is the tens digit of g?
8
Let j = -161 - -155. What is the tens digit of j/(-1) - 6 - -172?
7
Let a(i) = 839*i**2 - 43*i + 333. What is the tens digit of a(6)?
7
Let j(w) = 1360*w**2 + 20*w - 73. What is the ten thousands digit of j(3)?
1
Suppose -20166 - 79999 = -268*k + 255*k. What is the hundreds digit of k?
7
Suppose -3*i + 14 - 3 = -4*b, -4*i + 2*b = 2. Let u be 1/(((-9)/i)/6). Suppose u*a + 92 = 4*a. What is the units digit of a?
6
Let n(o) = 6*o - 15. Let i be (3/(-2))/(-3) - 105/(-42). Let r be n(i). Suppose 4*x + 3*g - 187 = 0, g = -4*x - r*g + 192. What is the units digit of x?
3
Suppose -99 = i - 451. Let d = 802 - i. What is the hundreds digit of d?
4
Let a(z) = -6*z**3 - z**2 + 2*z - 4. Suppose 0 = -2*w + 5*s + 29, w - 4*w - 4*s + 9 = 0. Let j be 10/(-6) - w/21. What is the units digit of a(j)?
6
Let f(j) be the first derivative of -j**3/3 + 9*j**2/2 + 17*j - 12. Let d be f(13). Let n = 42 + d. What is the units digit of n?
7
Let f(t) = -t**2 - 49*t + 8. Suppose -16*j - 443 = 101. What is the units digit of f(j)?
8
Let o = -98 - -98. What is the tens digit of (-34)/2*(-9 - o)?
5
Suppose -3*p - 2*l = -8 - 66, -p + 18 = -l. Suppose 0 = -p*y + 23*y - 262. Suppose 15*n - y = 1583. What is the units digit of n?
3
Suppose 0 = 3*o - 11 - 7. Suppose 7*k + o*k = -65. What is the units digit of 105/4 + k/4?
5
Suppose -32*a + 14*a = -126. Suppose 0 = -a*u - 1264 + 9489. What is the thousands digit of u?
1
Suppose 0 = -20*r + 31*r - 22. Suppose 4*g + 505 - 37 = r*z, 3 = g. Let k = -15 + z. What is the units digit of k?
5
Suppose 0 = -2*a + 8*a + 468. What is the hundreds digit of a - -74 - 274*(-11)/2?
5
What is the hundreds digit of (-25410)/(-6) - 0/((-6)/(-3)*1)?
2
Let g(y) = 171*y + 1031. What is the thousands digit of g(7)?
2
Let b(v) = 50*v**2 - 24*v - 29. What is the tens digit of b(8)?
7
Suppose -267*p - 99472 = -544*p + 269*p. What is the tens digit of p?
3
Let i be (-30)/75 + (-11504)/(-10). Let u = 1721 - i. What is the hundreds digit of u?
5
Let a(y) = -36*y + 173 + 66*y - 63*y. What is the tens digit of a(-7)?
0
Let a be 1/((-5)/2*(-2)/40). Suppose -a + 95 = w. Suppose -10 - w = -o. What is the units digit of o?
7
Let s(o) be the second derivative of 5*o - 3/2*o**3 + 0 - 9/2*o**2. What is the units digit of s(-13)?
8
Suppose 3294 = 6*i - 3*i. Suppose 2*k - 4*r - 3850 = -i, 4*r + 1384 = k. Suppose 8*o + 4*o - k = 0. What is the hundreds digit of o?
1
Let g(q) = 4*q**2 + 20*q - 86. Let p be g(6). Let s = p + 528. What is the units digit of s?
6
Let b = 1256 - -249. What is the thousands digit of b?
1
Let p(u) = u**3 - 11*u**2 + 18*u - 6. Let f be p(12). Let w = f - 274. What is the tens digit of w?
8
Let r = 528 + -789. What is the units digit of (r/4)/((-30)/160)?
8
Let r(c) = 2312*c - 183. What is the thousands digit of r(14)?
2
Suppose -75120 = -50*h + 26*h. Let l = h - 1501. What is the thousands digit of l?
1
Let d(s) = 177*s - 1. Let v be d(-1). Let f = 234 - v. What is the tens digit of f?
1
Suppose 2*x + 13 = -5*i, x - 3*i - 61 = 6*x. Suppose 0 = 7*t - 3 + 17. What is the tens digit of (t/(-3))/(x/21)*-77?
7
Suppose -b - 5*a + 7834 = 0, 5*b + 3870 - 43124 = -4*a. What is the tens digit of b?
5
Suppose 3*j = 5*w - 3 + 24, 0 = -4*w + j - 21. Let a(z) = -1 + 19 - 29 - 7*z. What is the tens digit of a(w)?
3
Suppose -5*x = -10*x. Let j be 190/(-45) - ((-2)/9 + x). What is the tens digit of ((-14)/j)/7 + 174/4?
4
Suppose -14*p + 18*p + 3*h = 72968, -h = -4*p + 72952. What is the hundreds digit of p?
2
What is the ten thousands digit of 6/14 - ((-384232)/(-4))/(-7 - 0)?
1
Let p(f) = 3*f**2 - 80*f + 57. Let c be p(26). Suppose -10*o + 12*o = c*g + 954, -o + 477 = 3*g. What is the hundreds digit of o?
4
Suppose -42*x = -3*x - 1326. Suppose -9666 + 996 = -x*o. What is the tens digit of o?
5
Let z(o) = 673*o**3 + 4*o**2 - 32*o + 12. What is the ten thousands digit of z(4)?
4
Let k(p) = 1323*p - 338. What is the units digit of k(5)?
7
Suppose 43468 = -12*m + 182374 + 174222. What is the units digit of m?
4
Suppose 2*k - 9*k = 7*k - 305900. What is the hundreds digit of k?
8
Let x = 5564 + 1755. What is the tens digit of x?
1
What is the thousands digit of (3/7)/(177/1859739)?
4
Let d be 768/72*78/4. Let l = -114 + d. What is the tens digit of l?
9
Let c(r) be the third derivative of -r**6/12 + r**5/60 - 3*r**4/8 - 3*r**3/2 + 34*r**2 + 1. What is the units digit of c(-4)?
3
Suppose -5*u = -a - 12058 + 2787, 5*u - 3*a = 9263. What is the thousands digit of u?
1
Suppose 98*g - 2*p + 167651 = 103*g, 0 = 4*g + 3*p - 134111. What is the thousands digit of g?
3
What is the tens digit of (-4 + -1)*(80 - 79) + 39543?
3
Let c = 167 - 165. Suppose -6*h + 6796 = -h - c*l, -2 = -l. What is the thousands digit of h?
1
Suppose -4180 = -4*c - 10*m + 14*m, 4 = -2*m. Let h = -29 + c. What is the tens digit of h?
1
Let q = 44374 - 21255. What is the hundreds digit of q?
1
Let i(j) = j**3 + 15*j**2 - 8*j + 36. Let t be i(-16). Let r = t - -15. Let l = r - -180. What is the tens digit of l?
0
Suppose -c + 2367 = -5*u - 4577, -u - 6956 = -c. What is the tens digit of c?
5
Let i = 667 + -465. Let o = -123 + i. Let b = 189 - o. What is the units digit of b?
0
Suppose -4*z = -5*q - 9, -z + 5*z - 7 = 3*q. Let s be (-1 + 1)/((2/z)/(-2)). Suppose 3*a - 2*a - 16 = s. What is the units digit of a?
6
Suppose -318869 = 19*d - 1067013. What is the units digit of d?
6
Let y = -28369 + 40769. What is the units digit of y?
0
Let q(g) = 40*g**3 - 60*g**2 + 378*g - 5. What is the thousands digit of q(7)?
3
Let p = -3449 - -5430. Suppose -600 = -t + 3*w, 461 = 4*t + 2*w - p. What is the tens digit of t?
0
Suppose -33*y + 24*y = 99. What is the tens digit of y/(3/15 - 6/27)?
9
Let b = 5879 + -4904. What is the units digit of b?
5
Let p(g) = g + 137 + 4*g + 5*g**2 - 130. What is the units digit of p(-7)?
7
Suppose -8*s + s - 18263 = 0. Let q = 3758 + s. What is the thousands digit of q?
1
Let q(m) = -18*m + 4. Let v be q(6). Let w be -5*(v/(-20) - -4). Let k = w - -92. What is the units digit of k?
6
Let h(q) = 3*q - 5. Let s(r) = 13*r - 21. Let w(v) = -9*h(v) + 2*s(v). Let f be w(4). What is the hundreds digit of (-1)/f + 101 + -16 + 15?
1
Let l(t) = t**3 - 23*t**2 + 48*t + 169. What is the hundreds digit of l(41)?
3
Suppose 2*t = -t - 4*q - 3, 4*t - 3*q = 21. Suppose -m + 5*p + 408 = -3*m, p + 638 = -t*m. Let z = -109 - m. What is the units digit of z?
5
Suppose 25 = 5*a, a = -p + 34103 + 8384. What is the thousands digit of p?
2
Let t(m) be the second derivative of 41*m**3/3 - 6*m**2 - 49*m. What is the hundreds digit of t(4)?
3
Let m be (-14)/9*(6 - 15). What is the tens digit of m/6*(8 + 49)?
3
Suppose 2*t = -3*l - 2*t - 24, -4*l - 28 = 4*t. Let o be 2 + -3 + 1 - l. What is the tens digit of o - (-163 + (-5 - -8))?
6
Let m(f) = -3*f - 26. Let q be m(-10). What is the units digi