5. Suppose -p*x = 4 - 4. Suppose x = -t - 5*r + 140, -440 = -4*t + 2*r + 2*r. What is the units digit of t?
5
Let f(j) = -3*j**3 - j + 104. Let i be f(0). Suppose 369 = -5*g + i. Let q = g + 168. What is the hundreds digit of q?
1
Let w(d) = -13*d**2 - d - 6. Let p be (-9)/12*(-10 - -6). Let i(q) = -13*q**2 - q - 7. Let a(f) = p*i(f) - 4*w(f). What is the tens digit of a(-2)?
5
Suppose -4*d = 3*s - 1309, 0 = 15*s - 20*s - 4*d + 2195. What is the units digit of s?
3
Let v = 82 - 84. Let j be 4*v/10*-5. Suppose -259 = -j*z - 0*z + 5*w, w = 1. What is the tens digit of z?
6
Let p be ((-10)/4 + 3)/((-1)/(-140)). Suppose 4*f + 2*q - p = 0, -f + q + 16 = 3. Suppose 4*i - f = 8. What is the units digit of i?
6
Suppose 0 = -5*k - 10*i + 90405, 0 = 113*k - 108*k - i - 90438. What is the hundreds digit of k?
0
Let r be (((-280)/12)/7)/(4/(-6)). Suppose r*j = -3*g + 1, -1 = -g - 4*j + 4. Let n(i) = -i**3 + 3*i**2 + i + 1. What is the tens digit of n(g)?
5
Let g = -46 + 48. Suppose -7*k + 5 = 5*q - g*k, -5*k = -5*q + 25. What is the units digit of 1/(q - 204/69)?
3
Let g(v) = -15144*v + 629. What is the tens digit of g(-2)?
1
Let b be (-87*2/8)/((-411)/1096). Suppose -67*x = -b*x - 1440. What is the hundreds digit of x?
1
Suppose 0 = -10*m - 14*m + 120. Suppose -71 - m = -4*l. Let g(d) = 2*d**2 - 24*d + 15. What is the hundreds digit of g(l)?
2
Let n(d) = -3*d - 54. Let c be n(-18). Suppose -1 = -j, -v - j + 3 = -0*v. Suppose v*k - 5*z = 19, 3*k + k - 3*z - 17 = c. What is the units digit of k?
2
Suppose 5*v + 3*r - 19 = 2*r, -3*r + 18 = 2*v. Suppose -3*d - 46 = v*x + x, -2*d + 3*x - 25 = 0. What is the tens digit of d/(-98) + 503/7?
7
Let h(f) = -1 + 5*f - 9 - 4*f. Let d be h(5). Let b(u) = -15*u - 24. What is the tens digit of b(d)?
5
Let x = -6914 + 26050. Suppose x = -126*o + 142*o. What is the tens digit of o?
9
Let o = -13311 + 20594. What is the thousands digit of o?
7
Let c(l) = -l + 15. Let a be c(13). Let x be ((-5)/(-3))/(a/(18/1)). Suppose -13*t - 220 = -x*t. What is the tens digit of t?
1
Suppose -4*c - 2*r = -2318, 13*c = 12*c - 2*r + 572. Let l = -265 + c. What is the tens digit of l?
1
Let w = 1 + 3. Suppose -4*a - 3*f = -9190, 0 = a + w*f + 658 - 2962. Suppose 14*d - 6*d - a = 0. What is the units digit of d?
7
Suppose -57*j - w - 38321 = -62*j, -3*w - 15331 = -2*j. What is the tens digit of j?
6
Suppose 3*j - 9 = -2*q, -5*j - 7*q + 15 = -8*q. Suppose 5*g = j*t - 5*t + 1718, -g = -5*t - 349. What is the units digit of g?
4
Suppose -6*r + 10 = -8*r. Let u be -36*(65/(-20) - r). Let n = -3 - u. What is the units digit of n?
0
Let q(b) = -b**2 - 13*b - 17. Let d = 2 + -13. Let x be q(d). Suppose -13 = -2*m - x*j, 0*m = -3*m - 3*j + 15. What is the units digit of m?
4
Suppose 0 = -34*m + 29*m - 2*n + 56449, -2*m + 22584 = 3*n. What is the tens digit of m?
8
Suppose -44*t + 149866 + 138211 - 94785 = 0. What is the thousands digit of t?
4
Let w be 1/(-4) - (-259)/8*-2. Let m = -52 - w. Suppose m*q + 16 = 15*q. What is the units digit of q?
8
Let p(s) = 1332*s + 2740. What is the ten thousands digit of p(21)?
3
Let j(i) = 3*i**3 + 18*i**2 + 13*i - 133. What is the thousands digit of j(10)?
4
Suppose 0 = 31*i - 251215 - 146608. What is the units digit of i?
3
Let x(o) = -8 + 3 + o + 3 + 1. Let c(i) = -8*i**2 - 8*i + 3. Let m(g) = -c(g) - 4*x(g). What is the units digit of m(3)?
5
Suppose -52804 - 87112 = -19*l. What is the units digit of l?
4
Let r be (-612)/(-15) + (-3)/(-15). Suppose l = -2 + 8. Suppose r = -l*t + 239. What is the units digit of t?
3
Let z = 67 - 76. What is the hundreds digit of (z - -8)/((-8145)/(-8150) + -1)?
6
Let h(k) = 1207*k - 457. What is the thousands digit of h(9)?
0
Let u = -171 - -172. Let t(i) = 13*i**3 + 4*i**2 - 7*i + 2. What is the tens digit of t(u)?
1
Suppose 156 = -28*m + 2*m. What is the units digit of (288/60)/(m/(-220)) + -4?
2
Suppose -2*s - 4*s = -1908. Suppose -6*p + 2100 = s. What is the tens digit of p?
9
Suppose -7*y + 15*y + 752 = 0. Let x = -81 - y. What is the tens digit of x?
1
Let g(s) = -s**3 - 9*s**2 + 4*s + 2. Let t(j) = -j**2 + j - 1. Let y(c) = -g(c) + 2*t(c). Let n be y(-5). Suppose 5*p - n = 194. What is the tens digit of p?
5
Suppose 140 = -0*q + 5*q. Let c(z) = -2*z. Let j be c(13). Let v = q + j. What is the units digit of v?
2
Let d = 38 + -38. Suppose 2*n - 52 = 2*g - 0*g, d = -4*n + 16. What is the hundreds digit of (-79)/12*g + (-2)/(-12)?
1
Suppose 0 = f + 76 - 81. What is the hundreds digit of (-3540)/(-18)*(-2 + f)?
5
Suppose -14*s = -33545 + 7155. Let y = -955 + s. What is the hundreds digit of y?
9
Let i(a) = -24*a**2 - a + 3*a + 13 + 33*a**2. Let j be i(-6). Suppose 2*f = -2*f, -5*k + j = 4*f. What is the tens digit of k?
6
Let r be (2 + 0 - 46)*16/(-64). Suppose -r*w + 3437 = -4186. What is the units digit of w?
3
Let w = 27359 + -14271. What is the thousands digit of w?
3
Let v = 114 - 112. Suppose 3*r - s = -3*s + 949, 4*s = v*r - 622. What is the tens digit of r?
1
Let d(r) = -r**3 - 10*r**2 - 16*r. Let b be d(-8). Suppose b = -5*a - 6*a + 4048. What is the units digit of a?
8
Let y(x) be the second derivative of 4*x**3 - 38*x**2 - 89*x. What is the tens digit of y(11)?
8
Suppose -15*q + 374 = 2*q. What is the units digit of -9 + (-8 - -16) + q*5?
9
Suppose 4*q = -18*p + 14*p + 43816, -5*p = -30. What is the thousands digit of q?
0
Let a = 142 + -139. Suppose -4*k = -4*l + 1176, 6*k - 3 = a*k. What is the hundreds digit of l?
2
What is the hundreds digit of 2/27 - (-19195572)/1782?
7
Let u = -48 + 228. Suppose 123*c = 134*c - 55. Suppose -f = c*f - u. What is the tens digit of f?
3
Suppose 0 = d - 1, -76*d = 2*j - 80*d - 996. What is the units digit of j?
0
Suppose -2*x - 10 = -3*m, 3*m - 5*x - 4 = -m. Suppose -u + m*u + 35 = 5*o, 0 = -4*u + 2*o - 18. Let v = u + 29. What is the tens digit of v?
2
Suppose -3*a = 4*n + 15, 8 - 1 = -n - 4*a. What is the units digit of (-1)/n - (-18)/27 - -304?
5
Suppose 33808 = 69*t - 53*t. Suppose 1393 = 2*y - 5*l - 24, -3*y = 5*l - t. What is the tens digit of y?
0
Let g = 32 + -32. Suppose k + 319 - 1017 = g. What is the units digit of k?
8
Suppose 0 = 9*w - 10277 - 7984. What is the thousands digit of w?
2
Let c = 14623 - 2560. What is the units digit of c?
3
What is the tens digit of (-4 - 0)*(24 + 20476/(-16))?
2
Suppose 5*j - 46480 = -9835. Suppose j - 2073 = 9*o. Suppose -s = 3*b + 2*b - o, -b + 124 = 2*s. What is the units digit of b?
6
Suppose 0*n - 2856 = -7*n. Let d = 633 - n. What is the units digit of d?
5
Let k = -193 - -198. Suppose -776 = -k*j + 509. What is the hundreds digit of j?
2
Suppose 185*o + 70*o - 425187 - 4486878 = 0. What is the hundreds digit of o?
2
Let i(y) = 18*y**2 + 4*y - 13. Let o = 47 + -50. Let h be (-3)/(9/6 + o). What is the tens digit of i(h)?
6
Let c(s) = -4*s**2 - 83*s - 60. Let n be c(-20). Suppose n = z - 2*u - 1798, 0*u = -2*z - 5*u + 3587. What is the hundreds digit of z?
7
Let g be (-3412)/11 + 2 + (-28)/(-154). Let q = -113 - g. What is the units digit of 2/(6/q) + -1?
4
What is the thousands digit of (48/7)/((-127)/(-959231))?
1
Suppose 0 = -2849*o + 2875*o - 286572. What is the ten thousands digit of o?
1
What is the tens digit of ((-28)/21)/((-1339996)/111666 + 12)?
2
Suppose -2*d + 3*d + 2815 = 5*f, 2*f - 2*d - 1118 = 0. Suppose 23*i - 16 = 15*i. Suppose 5*b + i*j - f - 40 = 0, 2*b = -4*j + 248. What is the tens digit of b?
2
Suppose 0 = -83*m - 52*m + 10116900. What is the thousands digit of m?
4
Let r(x) be the first derivative of -10*x + 1/3*x**3 - 3 + 7*x**2. What is the units digit of r(-15)?
5
Suppose -195*a = -305999 - 1966921. What is the units digit of a?
6
Let q(h) = 4634*h + 2110. What is the thousands digit of q(5)?
5
Suppose -2*u - 6*d = -d - 15622, -31244 = -4*u - 3*d. What is the hundreds digit of u?
8
Let p(z) = -2*z**3 + 23*z**2 + 16*z - 27. Let h be p(12). Suppose 8*k = h*k - 1937. What is the units digit of k?
9
Let q(y) = -5*y - 13. Let v be q(-3). Let a(p) = 44*p**3 + 3*p**2 - 3*p + 5. What is the tens digit of a(v)?
6
Let l = 13053 - 3610. What is the units digit of l?
3
Suppose 7*n - 12*n + 2*x = -363, -n = 3*x - 59. What is the units digit of -1 + (2 - 0)*n?
1
Suppose 5*j - 9 - 6 = 0, -4*u = -5*j + 31. Let m(a) = 55*a + 19. Let h(q) = -37*q - 13. Let i(y) = 8*