z). Suppose 3*d = f - 0. What is the units digit of d?
4
Let r(l) = -27*l - 11. What is the tens digit of r(-5)?
2
Suppose -3*f + 4*t - 83 = -247, 4*f - 252 = -3*t. Suppose -s = 2*s - f. What is the tens digit of s?
2
Let c(f) be the third derivative of -f**5/60 + 5*f**4/12 - 7*f**3/3 - 10*f**2. What is the units digit of c(7)?
7
Let b = 13 - 11. Let h(i) = 6*i**2 - 1. What is the tens digit of h(b)?
2
Suppose 0 = -3*j - j. Let p = j - 2. Let i(y) = -2*y - 2. What is the units digit of i(p)?
2
Suppose -5*d + 3*d = 0. Let c = d + 1. What is the units digit of (0 + c)*6 + 0?
6
Let h(t) = -3*t**3 - 3*t - 1. Let y be h(-2). Suppose m = y - 5. What is the tens digit of m?
2
Let a(p) = -3*p**2 + 5*p + 7. Let s be a(-5). What is the units digit of -4 - (-4)/((-12)/s)?
7
Suppose 12*k - 11*k = 77. What is the units digit of k?
7
Suppose 2*p + 3*p + 60 = 0. Let a be (-2)/3*486/p. Suppose 0 = -3*u + 3*q, -1 - a = -2*u - 5*q. What is the units digit of u?
4
Let n(z) = -2*z - 25. What is the units digit of n(-14)?
3
Let n(t) = 2*t**2 + 5*t + 2. Let m be n(-3). Suppose 0 = -2*q + 4*s + 18, 3*q - 5*s - 9 = 5*q. Suppose -m = -q*b + 4. What is the units digit of b?
3
Suppose 4*w - 2*a = 2*a + 228, 5*w = 3*a + 289. What is the units digit of w?
9
Suppose 6*m - 2*m = 0. Let j be 3 + 26 + (1 - -1 - 4). What is the units digit of (j/(-6) + m)*-2?
9
Let f(t) = -t + 19. Let n be f(12). Suppose 200 = -2*u + n*u. What is the units digit of u?
0
Let o(j) = 2*j**2 - 2. Let w be o(-2). Suppose -w*a = -3*a - 39. What is the units digit of a?
3
Let k be (8 + -8)*2/(-2). Let y = k + 22. What is the units digit of y?
2
Let b(r) = -r - 2. What is the tens digit of b(-13)?
1
Let h(f) = -2 - f**2 - 2 + 2*f**2 - 6*f - 5. Let b be h(7). What is the units digit of (9/12)/(b/(-48))?
8
Let i be (1/2)/((-3)/84). Let g be (-1)/(i/13 + 1). Suppose -w + 17 = t - 3*w, -t + w + g = 0. What is the units digit of t?
9
Let p(m) = m + 1. Let t be p(4). Suppose t*l = -0*l + 85. What is the tens digit of -1 + l - (7 + -7)?
1
What is the hundreds digit of 0 + 151 + -2 - 4?
1
Suppose 4*d = -d. Suppose w - 4*r - 33 = -3*r, -2*w - r + 69 = d. What is the tens digit of w?
3
What is the tens digit of -1 + 60 - 2*(-2)/4?
6
Let m(q) = 9*q**2 - 2. Let h = -4 + 2. What is the units digit of m(h)?
4
Let k = 8 - 8. Suppose -5*s + 134 - 14 = k. What is the units digit of s?
4
Let s = 5 - 3. Suppose -o = -6 - s. What is the units digit of o?
8
Suppose 5*t + 3*a = a - 65, 0 = 3*t + 4*a + 25. Let w = 53 + t. What is the units digit of w?
8
Suppose 0 = -13*v + 1225 + 166. What is the tens digit of v?
0
Let g(b) = b - 7. Let n be g(8). Let s(c) = 2*c. Let x be s(n). Suppose h + 4*w = -5 - 6, -6 = x*w. What is the units digit of h?
1
Let j(u) = u**3 - 3*u**2 + 2*u - 3. Let h be j(3). Suppose -6*d + 15 = -d. Suppose 4*a = -d*f + 29, -f - h*f + 17 = a. What is the units digit of f?
3
Let y(z) = -z**3 + 17*z**2 - 18*z + 36. Let a be y(16). Let t(q) = q**2 - q + 10. Let v be t(0). Suppose v = a*f + f. What is the units digit of f?
2
Let k(b) = 3*b - 2. Let d(s) = -s + 1. Let i be d(-1). Let o be k(i). What is the units digit of (-26)/o*2/(-1)?
3
Suppose -3*c - 2*c = -125. What is the units digit of c?
5
Let q(g) = 41*g**3 + g. Let r be q(1). Suppose -4*j = -r - 14. What is the units digit of j?
4
Suppose 10*w = -63 + 213. What is the tens digit of w?
1
Let j = 153 - -60. What is the hundreds digit of j?
2
Let i = 3 - 0. Let b = i + 7. What is the tens digit of b?
1
What is the tens digit of (12/(-8))/(2*2/(-288))?
0
What is the tens digit of 5 + -1 + 5 + 12?
2
What is the hundreds digit of (-14352)/234*(-2 + 1 + -2)?
1
Suppose -7*a + 0*a + 777 = 0. What is the tens digit of a?
1
Let d be (-4)/12 - (-22)/3. Suppose 0 = -y + 8 + d. Suppose y = 3*z + 3*f, 2*f + 3 = -z + 5*f. What is the units digit of z?
3
Suppose 1034 = 4*h + 2. What is the hundreds digit of h?
2
Let c(a) be the first derivative of a**3/3 - a**2/2 + 2*a - 2. What is the tens digit of c(-3)?
1
Suppose 0*n = 4*n - 156. What is the units digit of n?
9
Let k(g) = g. Let r be k(3). Suppose 5*p - 4*m - 16 = -6*m, m = 3*p - 3. Suppose 0 = r*h + 2*t - 8 + p, 0 = 4*h + 5*t - 1. What is the units digit of h?
4
Let d(f) be the second derivative of f**3/3 - 5*f**2/2 - f. Let s be d(4). What is the units digit of 2/6 + 17/s?
6
Suppose y = 5*d, -6*d = -4*y - 2*d. Let z = 1 + y. What is the units digit of z?
1
Let h(k) = 8*k - 2. Let w be h(8). Suppose 5*q - w = -12. What is the units digit of q?
0
Let t = 46 - 65. What is the units digit of (t/3)/(-1)*3?
9
Suppose 3*o = -5*k - 11, o + 3*k + 7 = -o. Let s = o - -10. What is the units digit of s?
8
Suppose -1 + 73 = -4*d. Let n = d + 32. What is the units digit of n?
4
Suppose -2*h - c + 126 = -2*c, -c - 315 = -5*h. What is the tens digit of h?
6
Let f be (10/(-25))/((-2)/20). Suppose 0 = 5*h - 3*g - 100, -5*g - 87 = -4*h - f*g. What is the tens digit of h?
2
Let d = -26 - -36. What is the tens digit of d?
1
Let p(a) = 6 - a**3 - 8*a + a**2 + 4*a**2 + 4*a**2. Let h(m) = -2*m**2 - 14*m - 4. Let z be h(-6). What is the units digit of p(z)?
6
Let u(k) = -k**2 + 32*k - 46. What is the units digit of u(24)?
6
Let k be (-4)/16 + (-23)/4. Let a be -1*3 + 2 + 9. Let v = k + a. What is the units digit of v?
2
Let j(t) = t**2 + 6*t - 7. Let f be j(-7). Suppose g - 157 = -3*u, f = -4*u - 4*g - 78 + 290. What is the units digit of u?
2
Suppose t + 0 = 3. Suppose 0*p + t*p + 15 = 0. What is the units digit of (1 + p)*(-4)/2?
8
Let j be 3 - (18/3 - 1). What is the units digit of (j + 1)*1 + 8?
7
Let m be 12/14*(-2 - -9). Let z be m + -3 + -1 - -6. Let r = z + -5. What is the units digit of r?
3
Suppose 3*f - 249 = -2793. What is the tens digit of f/(-56) + (-1)/7?
1
Suppose 2*f = 173 + 145. What is the units digit of f?
9
Suppose -4*m = 2*y - 14, -4*y - y + 15 = 5*m. Let z be m - (0/2 - -1). Suppose -j - 16 = -z*j. What is the units digit of j?
8
Suppose 1 = 4*y - 5*j - 28, 2*y = -5*j + 37. Let g = y + -7. Suppose -g*i = -63 + 7. What is the tens digit of i?
1
Let k = -33 + 53. What is the units digit of k?
0
Suppose 19*a = 16*a + 87. What is the units digit of a?
9
Let j be ((-21)/(-6))/(2/4). What is the units digit of (-26)/(-4) + j/(-14)?
6
Let t(h) be the second derivative of h**5/20 - h**4/3 - 7*h**3/6 - 4*h**2 - 5*h. What is the tens digit of t(6)?
2
Let i = 11 - 5. Let x be 4/(-18)*i*-3. Suppose 0 = -m + 6*w - x*w - 9, -5*m - 5 = -2*w. What is the units digit of m?
1
Suppose 0 = -3*t + 4*t + 5. Suppose 5*l = -3*q - 30, 3*l + 4*q + 18 = -0*l. Let y = t - l. What is the units digit of y?
1
Let i(z) be the second derivative of z**4/2 + z**2/2 + z. Let x(g) = -g**2 + 14*g + 16. Let y be x(15). What is the units digit of i(y)?
7
Let c(d) = -32*d - 22. What is the tens digit of c(-5)?
3
Let y(v) = v**3 - 7*v**2 - v + 8. Suppose 2*l + s = 16, 4*s + 20 = 4*l - 0*l. What is the units digit of y(l)?
1
Let v(q) = -q**3 + 4*q**2 + q + 4. Let o be v(4). Suppose -2*r - 4*c = -5 + 3, -r - 5*c = o. What is the units digit of r?
7
Let r = 6 + -2. Suppose w - r*w + 39 = 0. Suppose -5*m = -w - 12. What is the units digit of m?
5
Let l(h) = 2*h**3 + 5*h**2 - 2*h + 6. What is the tens digit of l(4)?
0
Suppose 0 = -0*b - 4*b + 24. Let u(d) = d**3 - 8*d**2 - 2*d + 11. Let m be u(8). Let y = b + m. What is the units digit of y?
1
What is the units digit of 4/12*-3 + 2?
1
What is the units digit of 61 - (-5)/((-15)/9)?
8
Let q be 1*-2 + 4 + 0. Suppose q*r - 3*f + 20 = 3*r, 4*r - 5*f = 97. What is the units digit of r?
3
Suppose -f - f - 14 = -r, r = 3*f + 11. Suppose -r = -l - 3*l. Suppose 4*b - l*g = 41, 0*g = g - 3. What is the tens digit of b?
1
Suppose -5*i - 1 = -301. What is the tens digit of i?
6
Suppose -15 = y - 61. What is the tens digit of (y/6)/((-1)/(-3))?
2
Let g(d) = d**3 - 9*d**2 + 10*d - 12. Let h(a) = a**2 + 5*a - 4. Let s be h(-9). Suppose -s = -2*l - 2*l. What is the units digit of g(l)?
4
Let a(c) = -c**3 - 4*c**2 + 3*c + 5. What is the units digit of a(-6)?
9
Suppose f + 5*j = 27, 2*f + 3*j - 61 = -0*f. Suppose -6*y + 2*y + f = 0. What is the units digit of y?
8
Let i = 0 - -7. What is the units digit of i?
7
Let s be 2/(-9) - 6/(-27). Let z(v) = v + 2. Let o be z(s). Suppose q = -0 + o. What is the units digit of q?
2
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