
Suppose 2*l + 25 = 3*b, -7*b + 31 = -2*b + 2*l. Let y(g) = g**2 + 12*g - 31 + 0*g**3 - 4*g**3 + 5*g**3 - 8*g**2. What is the units digit of y(b)?
3
Let d be (-16)/(-3)*27/12. Suppose -d*m + 9*m = 30. What is the units digit of (-2)/(-5) + (-616)/m?
2
Suppose 5*f = -2*y + 4256, y = -3*f + 3024 - 898. Suppose -2*x - 314 + y = 0. What is the units digit of x?
2
Let h(y) = 2*y - 2. Let q be h(-3). Let r(j) = 0 - 10*j**2 - 18*j + 24*j**2 - 5 - 7*j**2 + j**3. What is the tens digit of r(q)?
7
Let g(i) = -2*i - 4. Let s be g(-3). Let x be (s - 4)/(-4*(-1)/(-10)). Suppose -10*h = -x*h - 555. What is the hundreds digit of h?
1
Let c(b) = b**3 + 2*b**2 - 7*b - 29. Let s be c(10). Suppose -3*d + 826 = 9*f - 5*f, -5*f = 4*d - s. What is the hundreds digit of d?
2
Let h(q) = 6*q**2 - 10*q + 17. Let u be h(-7). Suppose 0 = n, -3*b + u = -0*b - n. What is the tens digit of b?
2
Let c be -2 - -2*(-3 - (-1628)/8). Suppose u = -k + c, 0 = 5*k - 5 + 15. What is the units digit of u?
1
Let i(p) = -1259*p + 1. What is the tens digit of i(-4)?
3
Let r(j) = j**2 + 8*j - 8. Let o(x) = 2*x**2 + 13*x + 5. Suppose 56 = -10*s + 6. Let l be o(s). What is the tens digit of r(l)?
1
Let w(l) be the second derivative of l**4 + l**3/2 - 26*l**2 - 2*l + 86. What is the tens digit of w(5)?
6
Let q = -97 - -101. What is the units digit of (-670)/(-3) - q/12?
3
Suppose -11*a - 2*j = -9*a - 50592, 5*a - 4*j = 126417. What is the thousands digit of a?
5
What is the units digit of (9/(-21) - (45/(-7) - -11)) + 32370?
5
Let v(f) = -798*f**3 + 8*f**2 + 70*f + 203. What is the ten thousands digit of v(-4)?
5
Let r(d) = -9 + 5*d**2 - 3 + 6*d**2 - 8*d - d**3 + 21. What is the tens digit of r(7)?
4
Let d(f) = 361*f**2 + 96*f + 92. What is the tens digit of d(-6)?
1
Let i(y) be the third derivative of y**4/4 + 17*y**3/6 + 37*y**2. Let q be i(-3). What is the tens digit of 1/2*(446 + (q - 7))?
1
Suppose p - 8 = -3. Suppose p*c = 3*c + 8. Suppose -c*v + 5*v = n - 73, 5*v + 5 = 0. What is the tens digit of n?
7
Let l = 416 - 649. Suppose 4*x + w = 1732, 4*x - x = 2*w + 1299. Let a = l + x. What is the tens digit of a?
0
Suppose 5 = 6*n - 19. Suppose 0 = -k + g + g + 246, -n*k - 3*g + 973 = 0. What is the hundreds digit of k?
2
Let j(t) = 3*t**2 + 46*t - 328. What is the thousands digit of j(22)?
2
Let v(u) be the second derivative of -u**5/20 - u**4/2 - 11*u**3/6 - u**2/2 + 2*u - 7. Let l = -27 + 22. What is the units digit of v(l)?
9
Let s = 6298 + 5132. What is the hundreds digit of s?
4
Suppose 2*f - 3233 = -5*k + 3551, -f + 4*k + 3418 = 0. What is the thousands digit of f?
3
Suppose 1188495 = -309*w + 358*w. What is the tens digit of w?
5
Let s(n) = 7*n + 812. What is the thousands digit of s(27)?
1
Suppose 0 = 3*g - 12, 0*g - g = -5*j + 12606. Suppose -8*t = -654 - j. What is the units digit of t?
7
Let c = -394 - -398. What is the hundreds digit of (44/8 - (c - -1))*718?
3
Let b = -37 - -50. Suppose -b*q + 5470 + 5554 = 0. What is the tens digit of q?
4
Let q = 44 + -41. Suppose 2*l + 2 = q*l. Suppose -2*x = 5*o + l*x - 210, 143 = 3*o - x. What is the units digit of o?
6
Let d(w) = -2*w - 6. Let x be d(-13). Let f(j) = -j. Let v be f(-4). Let r = v + x. What is the tens digit of r?
2
Let x = -37 - -35. Let k be 0 - x - (6 + -8). What is the units digit of (-210)/k*48/(-60)?
2
Let m(h) = -6*h**3 - 395*h**2 - 69*h - 50. What is the tens digit of m(-67)?
9
Suppose -4902*q + 6296 = -4894*q. What is the tens digit of q?
8
Let l(w) = w**2 + 16*w - 11. Suppose 120 = -7*k - k. Let a be l(k). What is the units digit of 273/a*(0 + -6)?
3
Suppose -2*c + 11 = -4*k + 13, -2*k - 4*c = 4. Let x be (24/(-18))/((-4)/30). Suppose k = -x*t + 9*t + 3. What is the units digit of t?
3
Let g(q) = 6*q + 33. Let s be g(-13). Let w = s - -77. Suppose 3*y - 5*h = 25, 0 = -2*y - h + 2 + w. What is the units digit of y?
5
Let x = -1341 + 6725. What is the tens digit of x?
8
Let t(m) = 42*m - 79. Suppose 7 + 103 = 10*k. What is the tens digit of t(k)?
8
Let h(k) = k**2 + 7*k + 8. Suppose 4*m = 5*n + 44, -6*m - 3*n + 76 = -2*m. Suppose 4*s - m = 12. What is the hundreds digit of h(s)?
1
Let s = -530 - -1267. Let i = s - 498. What is the units digit of i?
9
Let l be (-36)/(-8)*104/(7 - 3). Let c = l - 43. Suppose -c*v = -69*v - 410. What is the tens digit of v?
8
Let a = 57747 - 31723. What is the hundreds digit of a?
0
Let o be ((-8)/(-8))/(1/(-5)). Let a(k) = -213*k - 43. What is the tens digit of a(o)?
2
What is the tens digit of (12/126)/((-12)/56) - 369520/(-36)?
6
Let r be (12/(-28))/3 - (-106055)/35. Suppose 0 = -5*w + 3180 + r. What is the units digit of w?
2
Let l(v) = v**2 + 7 - 2 - 2 - 149*v**3 - 4. Let z be l(-1). Suppose -5*o + 549 = z. What is the tens digit of o?
8
Let z(c) = -392*c + 12425. What is the ten thousands digit of z(-18)?
1
Let i(l) = -l**3 + 22*l**2 - 2*l + 39. Let t be i(22). Let r(j) = -j**3 + 6*j**2 + 18*j - 9. What is the tens digit of r(t)?
7
Suppose 24542 + 273 = 5*d. Suppose d = 23*w - 1086. What is the tens digit of w?
6
Suppose 16*q - 3*q - 39 = 0. Suppose 10*t + 442 = -q*t. What is the tens digit of (45 + 1)/(t/(-85))?
1
Suppose 2*n - 1987 = -f, f + 34*n - 29*n = 1990. What is the tens digit of f?
8
Suppose 4*j = 604*t - 605*t + 1618, 0 = 3*j + 6. What is the thousands digit of t?
1
Let m(t) = 3*t**2 - 6*t + 58. What is the units digit of m(-16)?
2
Suppose 243*f - 1834979 = 27*f + 8890717. What is the thousands digit of f?
9
Let j = -61 - -58. What is the tens digit of 321/9 + j*4/(-9)?
3
Suppose 0 = -21*l + 18*l - 51. Let g be -19 + -1*2 - (l + 16). Let y(n) = n**2 + 11*n - 22. What is the tens digit of y(g)?
5
Let k(o) = 105*o**3 - 25*o**2 + 63*o + 6. What is the units digit of k(3)?
5
Suppose 0 = 2*p + 2*s - 14, -2*p + 3*s - 6 = -15. Suppose 0 = 6*g + p*g - 5088. What is the units digit of g?
4
Suppose -8*m + 101984 - 20734 = 3298. What is the thousands digit of m?
9
Suppose 5*h = 5*d + 8975, 0 = 2*h - 0*d - 6*d - 3582. What is the tens digit of h?
9
Suppose r - 3008 = -5*d - 2*r, -2*r = d - 603. Let m = d - 347. What is the hundreds digit of 1 + m + -3 + (2 - 5)?
2
What is the thousands digit of (20 + -18)/((-6)/(-21561))?
7
Let v(m) = -20*m - 8. Let d(q) = -10*q - 11*q + 3 - 2 - 8. Let j(w) = -3*d(w) + 2*v(w). What is the units digit of j(4)?
7
Let o(r) = -2*r**3 - 4*r**2 + 6*r - 1. Let i(k) = k**3 + 2*k**2 - 3*k. Let t(l) = -10*i(l) - 4*o(l). What is the tens digit of t(-4)?
4
Suppose 5*r - 3*o - 13 = 0, 4 = 2*r - 5*o - 5. Suppose 5*m = c - 675 + 13, 3264 = 5*c - r*m. What is the hundreds digit of c?
6
Suppose 0 = 5*d - 13*d + 64. Suppose -3*f + 16 = f, d = p + 2*f. Suppose p = -3*u - 3*i + 471, -3*u + 3*i + 457 = -i. What is the tens digit of u?
5
Let l(r) = -16*r - 2. Let n(j) = 2*j**2 - 5*j - 18. Let m be n(6). Suppose 2*s - c + 0*c + 16 = 0, -3*s = -4*c + m. What is the tens digit of l(s)?
2
Suppose -13*v = -37071 + 9511. What is the hundreds digit of v?
1
What is the tens digit of 18/(-45) - (5300364/(-60) - 2)?
4
Suppose -5*g - b = -18, -3*g + 0*b - 2*b = -8. Suppose -5*c = -3*h + 11, -g*h + 11 = -0*h - 3*c. What is the tens digit of ((-2)/2)/(h/(-98))?
4
Let c = 10594 + -6032. What is the thousands digit of c?
4
Let k(a) = -a + 151 + 371 - 28 - 11*a. What is the tens digit of k(0)?
9
Suppose 0 = -365*w + 363*w + 5830. Suppose -9*f - w + 7613 = 0. What is the units digit of f?
2
Let v be (-2)/((-8)/23) - (-4)/16. Suppose -s = 1, -3*i - v*s = -s - 22. Suppose -5*k = -5*p + 200, -k = p - 25 - i. What is the tens digit of p?
3
Let z(s) = s**3 + 30*s**2 + 59*s + 13. Let k be z(-28). Let j = 358 - k. What is the tens digit of j?
2
Suppose -3*z = -15*z - 456. Let w = -33 - z. Let r(x) = x**3 - 6*x**2 + 6*x + 2. What is the units digit of r(w)?
7
Suppose -1776 = 3*u + u. Let j be (-6 - -3*(-4 - (-5 - 0)))*1. What is the tens digit of (-8)/(-12) - j/((-27)/u)?
5
Let c = -5433 + 31423. What is the tens digit of c?
9
Let t(j) = 3*j**3 - 26*j - 12 - 3*j**2 - 34*j + 0*j**2 + 41*j. What is the hundreds digit of t(5)?
1
Let r(h) = 15*h**2 - 116*h - 129. What is the tens digit of r(28)?
8
Let d(t) = t**2 - 10*t + 7. Let f be (27*1)/(36/24). Let s be d(f). Let w = s - -50. What is the units digit of w?
1
Suppose 0 = -4*v - 3*w + 12, 2*w - 6 = -0*v - 2*v. Suppose -v*b + 3986 = -5*