11 = c*d. What is the units digit of d?
1
Let b(a) = -10*a + 2*a**2 + 3*a + 28 - 12*a. Let f(z) = -z**3 - 7*z**2 - 2*z - 64. Let m be f(-8). What is the tens digit of b(m)?
3
Suppose -2*g = o - 29102, 5*g + 29074 = 19*o - 18*o. What is the thousands digit of o?
9
Suppose 30 = 2*h - 106. Suppose h*c - 33626 = 25*c. What is the hundreds digit of c?
7
Let v be (42/105)/(2*(-3)/(-27450)). Suppose 15*h = 25*h - v. What is the tens digit of h?
8
Suppose 0 = -3*f - 2*v + 67406, -89835 = 3*f - 7*f + 3*v. What is the thousands digit of f?
2
Suppose -k - 10711 = -3*s, 4*k - 12 - 8 = 0. Suppose -53*p - s = -57*p. What is the units digit of p?
3
Suppose -20*o = -11*o - 1854. Let d = o + 3. What is the hundreds digit of d?
2
Suppose -20*g - 737198 = -32*g - 65*g. What is the units digit of g?
4
Let d(o) = -2*o**3 + 9*o**2 - 11*o + 12. Let g be d(3). What is the units digit of (g - 11) + (6 - 3) + 747?
5
Suppose -86*c - 36*c = -9*c - 2541822. What is the ten thousands digit of c?
2
Let l(z) be the first derivative of -16 - 3/2*z**2 + 1/3*z**3 - 32*z. What is the tens digit of l(-8)?
5
Suppose 4*w = r + 465, 47 = 3*w - 5*r - 289. Suppose 113*g - 112 = w*g. What is the tens digit of 2*(-302)/g + (-78)/(-182)?
2
Suppose -20*v + 23*v - 98870 = -5*f, 4*v = -4*f + 79096. What is the units digit of f?
4
Let j = -605 - -774. Suppose 8*y - 4*y + 4*n + 312 = 0, y - 5*n = -108. Let t = y + j. What is the units digit of t?
6
Suppose 4*x - 5*w = x + 2349, -x + 2*w + 783 = 0. Suppose 5*o = 3*t + 1157, -t = -3*t + o - x. Let n = t + 580. What is the units digit of n?
6
Suppose 4*b + r = 113669, -b + r = -6169 - 22252. What is the ten thousands digit of b?
2
Let p(u) = -u**3 - u**2 - u + 2. Let o be p(-2). Suppose -11*m + o*m = -921. What is the hundreds digit of m?
3
Let f(h) = -2*h**3 + 6*h + 1. Let m(z) = 3*z**3 - 11*z - 3. Let a(n) = -5*f(n) - 2*m(n). What is the units digit of a(6)?
7
Let d(l) = 2*l**2 - 24*l + 1. Let m be d(12). Let r be (-102)/m - 18/12*2. What is the tens digit of (1 + 16/(-12))*r?
3
Suppose 5*y = -m + 245, -y - 687 = -3*m - 0*m. Suppose -2*b + 172 + m = 4*i, -624 = -3*b + i. What is the tens digit of b?
0
Let k = 114 - 50. Suppose -3*i + 4*x + 6 + 17 = 0, 0 = 4*i + 3*x - k. Suppose -3*s = -h - i - 18, 4*s + 3*h = 63. What is the units digit of s?
2
Let s(c) = -2*c + 3. Let g be s(-1). Suppose g*x - 2083 - 10237 = 0. What is the units digit of x/10 - 1 - 4/10?
5
Let d be ((-6)/(-18))/(0 - (-2)/30). Suppose d*m - 99 = 5*f + 36, 51 = -2*f - m. Let l = f + 32. What is the units digit of l?
6
Let t(a) = 23*a**2 - 28*a + 1261. What is the ten thousands digit of t(-23)?
1
Let b = -50 - -258. Let t = b + -130. Let w = t + -46. What is the tens digit of w?
3
Suppose -3*s - 3456 = 15*s. What is the hundreds digit of s/288*(-2415)/2?
8
Let l(y) = 37*y**3 - 5*y**2 + 23*y - 179. What is the tens digit of l(7)?
2
Let j(r) = 11*r**3 + 11*r**2 - 65*r - 1. Let o be j(4). Let m = -146 + o. What is the tens digit of m?
7
Let y = 203 + -197. Suppose y*i - 3087 = -855. What is the tens digit of i?
7
Let i(k) = 4*k**3 + 6*k**2 - 4*k - 4. Let x(m) = -11*m - 62. Let a be x(-6). What is the tens digit of i(a)?
3
Let m(b) = 3*b**2 + 18*b - 341. What is the thousands digit of m(-78)?
6
Let y(o) = -o**3 + 8*o**2 + o - 5. Let n be y(8). Suppose 4*q = -t + 112, -n*q - 4*t + 124 = q. What is the units digit of 912/q + (-4)/(-18)?
4
Let k be (-1)/(-3) + 9/(-27)*-926. Let r = k + 375. What is the units digit of r?
4
What is the thousands digit of (2/6)/((-55)/(-15) + -4) + 54996?
4
Let b(g) = 5*g**3 - 18*g**2 - 34*g + 6. What is the ten thousands digit of b(15)?
1
Suppose 87 = 3*u - 2*g, -8*u + g = -3*u - 152. Let c = u - 32. What is the tens digit of (-1 - -86) + (-7 - -5 - c)?
8
Suppose 82*t = 73*t - 18. What is the tens digit of 3/9*3/t*-2102?
5
Let h = -21 - -19. Let u be (-296)/6*-1*3/h. Let w = u + 108. What is the tens digit of w?
3
Suppose 2*s = s - 5*h - 21, -5*h - 9 = 4*s. Let j(r) = 224*r + 16. Let v be j(s). Suppose 0 = -4*c - 2*c + v. What is the hundreds digit of c?
1
Let d be 13797/24 + (2/16 - 0). Suppose -r - d = -2*r + 2*n, -3*n + 1178 = 2*r. What is the hundreds digit of r?
5
Suppose 182*w = 185*w - 639. What is the tens digit of (3/8 - (-273)/104)*w?
3
Suppose 5*n = -15, -12261 = w - 5*w - n. What is the tens digit of w?
6
Suppose 0 = -3*y + 5*p + 21 + 15, 15 = -5*p. Let c be (6 + 1)*60/y. What is the hundreds digit of 3/((c/(-635))/(-4))?
1
Let j(y) = 2*y**3 + 19*y**2 - 11*y + 8. Suppose -4*t = -6*t - 24. Let x = 2 + t. What is the units digit of j(x)?
8
Suppose 0 = 5*z + 3*a - 13 - 21, -a = 2*z - 13. Let k(g) = 3*g - 13. Let d be k(z). Suppose m = t + d*m - 70, -3*t + 5*m + 234 = 0. What is the tens digit of t?
7
What is the hundreds digit of 1 + 31828/11 - (3939/(-143) - -27)?
8
Let p(k) be the first derivative of -k**3/3 + 12*k**2 - 1. Let s be (-1)/(3/(-57) + -1 + 1). What is the units digit of p(s)?
5
Let a(k) = 32*k + 58. Let n be a(-2). What is the thousands digit of (33*106 + 3)*n/(-18)?
1
Let v be 4459/21 + (-1)/3 + 2. Suppose 4*p - 20 = 0, 8*z + 2*p = 4*z + v. What is the units digit of z?
1
Let f(l) be the third derivative of -l**5/60 + 23*l**4/24 - 8*l**3/3 - 28*l**2. Let p be f(22). What is the tens digit of (p - 10)*531/(-12)?
7
What is the units digit of -4*((72789/12)/(-1) + 48/32)?
7
Let d be (-4)/(-7) + 3544/(-28). Let f = 134 + d. Suppose -1110 - 754 = -f*i. What is the hundreds digit of i?
2
Suppose 0 = 4*q + 5*v - 160 - 38, 3*q - 139 = v. Let l = q - 47. Suppose l = -a + 47 + 75. What is the hundreds digit of a?
1
Let f(u) = u**2 + 14*u - 143. Let x be f(9). Suppose 5*y - x = 1721. What is the units digit of y?
7
Suppose -7*q + 0*q = 644. Let n be (-16)/40 + q/(-5). Suppose -f + n - 2 = 0. What is the tens digit of f?
1
Let j(o) = -2*o**3 - 24*o**2 - 3*o + 52. Let d = -86 + 73. What is the tens digit of j(d)?
2
Let g(o) = -29*o - 14. Let q = 75 - 84. What is the hundreds digit of g(q)?
2
Let s be (10 + 50/(-5))/(-3). Let d = 0 - -38. Suppose -3*c + s*c + 3 = -b, -4*b = -2*c - d. What is the units digit of b?
2
Let c = 8191 - 4255. What is the units digit of c?
6
Let n(b) = 3*b + 57. Let x be n(-16). Suppose -4 = x*o - 11*o. What is the tens digit of (41 + (-1)/(-1) - -4)/o?
2
Suppose -q + 5*n = 15, -12*n + 11*n + 4 = 0. Suppose 0 = 2*g + 3*k - 1008, -15*k = -q*g - 16*k + 2507. What is the units digit of g?
1
Let d = 3523 + 132. Let n = d - 2114. What is the thousands digit of n?
1
Suppose 3*j + 1 = 2*j. Let d(m) = -8*m**2 + 2*m**2 - 2 + 25*m**2 - m + 22*m**2. What is the units digit of d(j)?
0
What is the ten thousands digit of ((-4)/(-5) - 0)*(-14038245)/(-342)?
3
Suppose 0*h - 4*h + 3*o + 1714 = 0, 0 = 5*h - o - 2148. What is the hundreds digit of (4 + (-184)/40)/((-2)/h)?
1
Suppose 73*j = 4207624 + 1804072. What is the thousands digit of j?
2
Let x = 49412 + -13543. What is the units digit of x?
9
Let o(m) = 194*m**2 + 176*m - 9. What is the tens digit of o(7)?
2
Suppose 0 = 5*m + 92*y - 95*y - 67222, 2*y = -8. What is the tens digit of m?
4
Suppose k = -j + 10714, k - 14609 = -4*j - 3907. What is the thousands digit of k?
0
Suppose 4*m - 13 = j + 1, m - 5*j = -6. Suppose -2*r - 5*f = -0*f - 334, 4*r - 668 = m*f. What is the hundreds digit of r?
1
What is the thousands digit of 10 + 4 + -7 + -1 + 23235?
3
Let m = 206 - 114. What is the hundreds digit of m/20*460/4?
5
Let h(w) = 13*w**3 + 4*w - 5 + 7*w**3 - 19*w**3. Let s be h(6). Suppose -s = 5*u - 10*u. What is the tens digit of u?
4
Suppose 28*k = 35*k - 3535. Let f = -296 + k. What is the hundreds digit of f?
2
Suppose 0 = -4*t + a + 302, 3*t + 0*a + 5*a - 238 = 0. Let v = 50 + -55. Let y = t + v. What is the units digit of y?
1
Let i = -306 + 305. What is the hundreds digit of 9/(-36) + i/((-4)/2945)?
7
Let o be 12/20 + 4032/5. Suppose -536 + o = c. What is the tens digit of c?
7
Let x(w) = -w**3 - 23*w**2 - 31*w - 52. Let j be x(-21). Let q = j - -476. What is the tens digit of q?
9
Suppose 6*t + 11 - 29 = 0. What is the units digit of (-150744)/(-312) + t/(78/(-4))?
3
Let d(b) = 28*b + 82. Let o(q) = -11*q - 33. Suppose -21 = -4*t + 27. Let l(g) = t*o(g) + 5*d(g). What is the units digit of l(10)?
4
Let a = 61287 - 29132. What is the tens digit of a?
5
What is the units digi