ppose 0 = 2*c - 5*x - 20992, 41960 = 2*c + 2*c + 2*x. What is the ten thousands digit of c?
1
Let z be 1702/14 - (-24)/(-42). Suppose 8*y + 4*f = 3*y + 623, 2*f - z = -y. What is the tens digit of y?
2
Let o(r) = -3*r**2 + 19*r + 4. Let y be o(6). Suppose 435 = -y*c + 9415. What is the units digit of c?
8
Suppose w = 4*r + 265, w - r - 523 = -w. Suppose h = 4*h - 234. Suppose -h = 3*x - w. What is the units digit of x?
1
Let d(y) be the first derivative of -y**4/4 - 19*y**3/3 - 23*y**2/2 - 22*y - 85. What is the tens digit of d(-19)?
1
Let c = 2 - 6. Let w(a) = -14*a + 9. Let t(n) = -8*n + 1. Let k(d) = 2*t(d) + w(d). What is the hundreds digit of k(c)?
1
Let u(t) = 1 - 47 - 42 - 75*t + 23. What is the units digit of u(-5)?
0
Let k(n) = -4551*n - 1807. What is the ten thousands digit of k(-3)?
1
Let f(c) = 16*c + 10. Let x be f(2). Suppose 4*q + 14 = x. Suppose -6*a - 51 = -q*a. What is the tens digit of a?
5
Suppose 3*y + 2*y - 21098 = -3*f, 7*y - 29570 = 4*f. What is the units digit of y?
2
Let p be (-2 + -20 + 0)*6/(-12). Suppose -7*i + 4 = -p*i. Let d = 13 + i. What is the units digit of d?
2
Let x = 24 + -17. What is the hundreds digit of (x - 8) + (742 - 2)?
7
Suppose 8*c - 5*c = -12, 2*n + 30 = -5*c. Let i = 2 + -3. What is the units digit of n/i + 5 + 80?
0
Let m = 1147 + -1122. Suppose -115 = -6*f + f. Let k = m + f. What is the units digit of k?
8
Suppose -f + 4*t - 5477 + 15392 = -10691, 2*t = 0. What is the hundreds digit of f?
6
Let y(f) = -5447*f - 612. What is the thousands digit of y(-3)?
5
Let l = 64 - 60. Let q(k) = -11*k**2 + 21*k + 9. Let d(m) = -6*m**2 + 10*m + 4. Let c(g) = -9*d(g) + 4*q(g). What is the units digit of c(l)?
6
Suppose s + 0*n - 3*n = 0, -5*n = -15. What is the units digit of ((-2842)/(-147))/(1/s)?
4
Suppose -24533 = -5*u + 4*g, 5*g + 13 = 3. What is the hundreds digit of u?
9
Suppose d = 0, 6*d + 16 = -4*t + 2*d. Let m(q) = 40*q**2 + 4*q + 6. Let u be m(-1). Let w = t + u. What is the tens digit of w?
3
Let o(t) = -t**3 + 19*t**2 - 21*t + 12. Let f be o(18). Let s = -24 - f. Suppose 0 = z + s - 85. What is the units digit of z?
7
Let f be (-6)/(-6) + 99/(2 - 1). Let h = 1 + f. Suppose 0 = -2*j, -h = -4*n - 3*j - 21. What is the tens digit of n?
2
Let r = -186 + 126. Let b = 54 + r. What is the units digit of 112/6 + 0 + 4/b?
8
Suppose 5*x = 3*p - 2*p + 20, 0 = -5*p - 2*x + 8. Suppose -5*g + p*g + 3*c = -619, 4*g = -4*c + 508. What is the tens digit of g?
2
Suppose -h + 18 = 4. What is the tens digit of (-6)/h - (-36300)/175?
0
Let d(b) = b**3 + 8*b**2 - 12*b - 126. Let g be d(-7). What is the tens digit of (-1)/g + (-2 - 57729/(-49))?
7
Let u(p) = p**2 + p + 3. Let w = -20 + 20. Let c be u(w). Suppose 0 = 2*s + 5*d - 44, 2*d = -c*s - s + 88. What is the units digit of s?
2
Suppose 8*a - 3*a - 2*w = 152, -3*a - w = -89. Suppose 0 = -2*n - 3*c + a, n + 4*n - 4*c = 29. What is the units digit of ((-6)/8)/(n/(-612))?
1
Let x(n) = 8*n**2 - 5*n - 3. Let a be x(2). Suppose 2 = 3*z + 2*m + a, z + 4 = m. What is the units digit of (z/2 - 0)*(-428)/10?
7
Suppose -14 = -l - 6. Suppose -340 = -l*j + 7*j - 5*s, -16 = 4*s. What is the hundreds digit of j?
3
Let b(i) = i**3 - 28 - 17 - 16*i + 44 + 9*i**2. What is the tens digit of b(-10)?
5
Let s = -42997 + 72253. What is the hundreds digit of s?
2
Suppose 0 = 8*x - 3*x - 25. Suppose x*p - 18 = 2*f, -f = 3*p + 2*f + 6. Suppose 4*y + p = 5*y. What is the units digit of y?
2
Suppose 4976*p - 4996*p + 311820 = 0. What is the units digit of p?
1
Let f be (-8)/(-7) + (-3753576)/(-777). Let r = -2809 + f. What is the tens digit of r?
2
Let o(r) = -2055*r + 673. What is the hundreds digit of o(-11)?
2
What is the thousands digit of 10/(18 + 8247800/(-458225))?
8
What is the tens digit of (9 - 8)*(360 + -9)?
5
Let s = 12 - 6. Suppose 3*k - 270 = s*k. What is the tens digit of (k + 0)*(-3)/6?
4
Let w be ((-6)/5)/(18/(-3465)). Suppose -234*i + w*i = -348. What is the hundreds digit of i?
1
Suppose -149 = 29*b - 439. Suppose -5*q - j + 2857 = 0, 0 = 5*j - 0*j - b. What is the hundreds digit of q?
5
Let q be (0 - 23/(-2))/(1/(-10)). Let j = q - -153. What is the tens digit of j?
3
Let v(b) = 2059*b**2 + 22*b + 71. What is the ten thousands digit of v(-5)?
5
Let v be 45 + (-3)/(3*(-1)/(-3)). Suppose 3372 = -38*l + v*l. What is the units digit of l?
3
Let a = 21679 + -17678. What is the hundreds digit of a?
0
Suppose -2955 = -3*u + 3*b, 5*b - 1739 = -2*u + 210. Suppose 13*f - 11*f = -5*h + 1889, -f = -5*h - u. What is the units digit of f?
7
Suppose -5*s - 23922 = -5*p - 67167, -3*s + 25951 = -4*p. What is the thousands digit of s?
8
Suppose 75*j - 395*j = 302*j - 14916804. What is the hundreds digit of j?
9
Suppose 2*w - 2 = w. Suppose 2*k + 4*q = -2*k - 36, 0 = w*q + 10. What is the units digit of ((-4)/12)/(k/1308)?
9
Let r = 359 - 1269. Let m = r - -1783. What is the tens digit of m?
7
Suppose 4*d - 90422 = -2*w, -14*w + 535166 = 5*d - 97650. What is the ten thousands digit of w?
4
Let y = 14444 + 12133. What is the units digit of y?
7
Suppose 27*j + 847 = 16*j. Let p = 73 - j. What is the hundreds digit of p?
1
Suppose 0 = -4*p + 16, -20092 = 10*t - 14*t + 2*p. What is the units digit of t?
5
Let r = 38 - 27. Suppose -15*f + r*f = 2*c - 2486, 5*f = 4*c - 5037. What is the thousands digit of c?
1
Let n = -138937 - -205486. What is the tens digit of n?
4
Let h = -10048 + 19829. What is the thousands digit of h?
9
What is the thousands digit of (-854094)/(-72) + (-9)/(-12) + (-80)/(-96)?
1
Let t = 0 + 2. Suppose -5*i + 210 = -3*k - 120, -4*i = -k - 271. Suppose -t*r + r = -i. What is the units digit of r?
9
Let g be -17*2/(-10) + 2/(-5). Suppose -g*r - 4*t = 5, r + 2*t = -1 - 4. Suppose r*a - 152 = 318. What is the tens digit of a?
9
Let p(w) = -52*w**2 - 8*w + 65. Let j(o) = 105*o**2 + 16*o - 132. Let k(u) = -4*j(u) - 9*p(u). What is the tens digit of k(5)?
8
Suppose -55*f + 59*f = 20. Let v(j) = -5*j + f + 4 - 12. What is the units digit of v(-6)?
7
Suppose -1099 - 980 = -9*t. Let u(f) = 2*f**2 - 7*f + 11. Let o be u(6). Suppose t = 5*n + o. What is the tens digit of n?
3
Let v = -54 - -58. Suppose 2*y + 2*y - 4*b = -76, 4*y = -v*b - 44. What is the units digit of (-18)/(-10) + -1 - 1698/y?
4
What is the thousands digit of -1 - -2767 - (8/64*0 - -2)?
2
Let c be (-3)/(-30) - 177143/(-470). Let t = 76 + -273. Let j = c + t. What is the hundreds digit of j?
1
Let p = 893 - -3230. What is the units digit of p?
3
Let w be (-35 - -35)*((-6)/4)/3. Suppose -10*q = -w*q - 20. Suppose -2*i - q*t + 432 = 0, 3*i = -t + 36 + 610. What is the hundreds digit of i?
2
What is the tens digit of 52/(-20) + (-618992)/(-20)?
4
Let v = -1379 - -708. Let z = -1269 - v. Let a = -426 - z. What is the tens digit of a?
7
Let c(k) = -k - 18. Let b be c(-8). Let t(g) be the second derivative of -2*g**3 - 6*g**2 - 459*g. What is the units digit of t(b)?
8
Let i(m) = -517*m - 34. Let b be i(-7). Suppose 4*t - b = 823. What is the units digit of t?
2
Let n(m) = m**3 + 5*m**2 + m. Let t be n(-4). Let h be t/(-9) - (-48)/9. What is the units digit of (9/4)/(h/32)?
8
Let w be 11/((-154)/(-147))*(3 + -1). Let n = 356 - w. What is the hundreds digit of n?
3
Suppose -2*k = -a - 248, -5*k = 3*a - 381 - 217. Suppose -k = -26*i + 24*i. What is the units digit of i?
1
Suppose 5*d = -4*h + 9257, -4*h - d - 4147 = -13416. What is the tens digit of h?
1
Let r = -42714 + 99050. What is the thousands digit of r?
6
Let x be (-14)/(-8) - (-5)/20. Suppose 3*z + 2*h = -2 + 1, -x*z - 4 = 3*h. What is the tens digit of (-150)/4*(-1 - z)?
7
Let r be (-16)/3 + (-12)/(-9) - -19. Suppose 0 = -r*n + 5*n + 10330. What is the units digit of n?
3
Let a = -575 - -602. Suppose -a*v = -2935 + 586. What is the tens digit of v?
8
What is the thousands digit of ((-8)/24)/((-6)/69336)?
3
Let f = 8649 - 5877. Suppose 12*a = 6*a + f. What is the tens digit of a?
6
Let f(m) = m**3 - 5*m**2 - 2*m + 9. Suppose -7*i + 2*i = -25. Let v be f(i). What is the hundreds digit of 96 + v*(-2 + -2)?
1
Suppose -39*k + 34*k + 4650 = 0. Let b = k + -200. What is the hundreds digit of b?
7
Let g be (3/(-2))/((-174)/9512). Let c(t) = 41*t**3 - t**2 - t + 1. Let j be c(1). Suppose 4*h + 2*p - g = 0, -3*h + 3*p = -44 - j. What is the tens digit of h?
2
Let w(c) =