 is the units digit of a?
1
Suppose -4*p + 0*p = 0. Suppose 5*z - 5*k - 30 = p, 0*k + 35 = 5*z - 4*k. Suppose v - 2*v - z = 5*c, -c = v - 9. What is the units digit of v?
4
Let h be (1 - 3)*(-10)/(-20). Let f(r) = -r**3 - 8*r**2 - 2*r + 4. Let z(s) = -s**3 - s + 1. Let i(d) = h*f(d) + 2*z(d). What is the tens digit of i(7)?
4
Suppose 4*r + 4*b - 2728 = 0, -3*r = 2*b + 446 - 2495. What is the units digit of r?
5
Suppose -4*l = 11 - 1123. What is the tens digit of l?
7
Let y(s) = -s + 3. Let o(b) = -4. Let k be (-40)/25*(-10)/(-4). Let g(u) = k*y(u) - 3*o(u). What is the units digit of g(4)?
6
Let u = -1528 + 2955. What is the units digit of u?
7
Let g = 9854 - 5034. What is the tens digit of g?
2
Let s = -29 - -51. Let l = 55 - s. What is the tens digit of l?
3
Let j(l) = l**3 - l + 1. Let h(i) = 2*i**3 - 4*i**2 - 6*i - 3. Let n(q) = h(q) - 3*j(q). Let m be n(-4). Suppose m*g + 145 = 11*g. What is the units digit of g?
9
Let s be -3 + 2 - 2/2. Let m(l) = 9*l**3 + 2*l**2 - 2*l. Let f be m(s). What is the units digit of (-36)/f + 244/10?
5
Let l be 6*(3 + (-32)/12). Suppose 0 = -l*m - n + 200, -2*m - 4*n + 206 = -0*m. What is the units digit of m?
9
Let c be (-2)/(-2)*(10 - 12). Let d = c - -5. What is the units digit of d?
3
Let k be (17 + -3 + -1)*1. Suppose -83 = 12*u - k*u. What is the units digit of u?
3
Let w be 1/(-2)*(-3 - 1). Let m = -129 + 160. Suppose 105 = w*h + m. What is the units digit of h?
7
Let l = 42 - 50. Let m = -31 - -62. Let o = l + m. What is the units digit of o?
3
Suppose 478 = 6*b - 62. Let d = 191 - b. What is the tens digit of d?
0
Let f(m) be the third derivative of m**4/12 + 71*m**3/6 - 11*m**2. What is the hundreds digit of f(22)?
1
Let m(j) = 4*j**2 - 12*j + 12. Let o be m(9). Suppose o = 9*r - 105. What is the units digit of r?
7
Let z(i) = -1 - 2*i**3 + i**3 + 0*i**3 + 2*i**3 + i**2 - 2*i. Let p be z(-1). What is the tens digit of (60/(-24))/(p/(-10))?
2
Let l = 415 - 188. Suppose 2*w - 3*w + 2*u + l = 0, -4*u + 12 = 0. What is the hundreds digit of w?
2
Let w be 15/(-5 + 2)*(-136)/5. What is the tens digit of w/3 + 3 + 10/(-3)?
4
Let d be 40/12 + (0 + -1)/3. Suppose -3*i = -d - 9, j = 2*i - 7. What is the units digit of j?
1
Let l = 1956 - 1061. What is the tens digit of l?
9
Let u be 20/(-6) - (-10)/(-15). Let h be (-1236)/16 - 1/u. What is the units digit of h/(-4) + (-3)/(-4)?
0
Suppose -l - 2 = -8. What is the tens digit of (-1 - (-165)/12) + l/24?
1
Let m be 2*3/6*1*2. Suppose m*s - 236 = -4*v, v = -4*s + 6*s - 261. What is the tens digit of s?
2
Let t be (-64)/(-1)*(-4 + (-15)/10). Let f = t - -604. What is the tens digit of f?
5
Let u = 251 - -53. Suppose 0 = 6*k - 940 + u. What is the hundreds digit of k?
1
Suppose -10*z + 6*z + 2940 = 4*x, -3*z = -5*x - 2173. What is the tens digit of z?
3
Let t be -1*((-1 - (-4 - -7)) + -708). What is the hundreds digit of (-9)/(-6)*t/6?
1
Suppose 4*j = w - 72, -2*w = 4*j + 42 + 18. Let o = j + 26. What is the units digit of ((-8)/(-3))/(1/o)?
4
Let p(z) = z**3 + z**2 - z. Let u be p(0). Let t = 2 - u. Suppose t*n - 6*n = -20. What is the units digit of n?
5
Suppose 0 = -325*m + 318*m + 3962. What is the tens digit of m?
6
Let l = -1602 + 3693. What is the units digit of l?
1
Suppose 4*o - 84 = -4*h, 2*o - h - 30 + 3 = 0. Suppose o = 5*j - 9*j. What is the units digit of (-1)/(-5 - j)*1?
1
Let y(a) = a**3 + 5*a**2 + 3*a. Let r be y(-4). Suppose -r*f + 87 = 5*j, 5*f - j + 0 - 145 = 0. What is the units digit of f?
8
Suppose a + 3*m = 1320, 4*m = 5*a + 7*m - 6600. What is the tens digit of a?
2
Suppose 0 = n - 4 - 1. Suppose 0 = n*t - 4*t + 51. Let u = -12 - t. What is the units digit of u?
9
Let i(k) = -k**3 + 11*k**2 - 20*k + 20. Let m be i(9). Suppose t - m = 84. What is the tens digit of t?
8
Let c(b) = -102*b**3 - 13*b - 22. What is the tens digit of c(-2)?
2
Let f be (-8)/(-20) - 1823/(-5). Suppose 0*d = -5*l - 2*d + 374, 5*l = -5*d + f. What is the tens digit of l?
7
Suppose 0 = 2*j + 2*d - 578, 4*j - 4*d + 524 - 1648 = 0. What is the hundreds digit of j?
2
Let r = 2731 - 1269. What is the hundreds digit of r?
4
What is the hundreds digit of 27248/32 + 1/2?
8
Let t(m) = 252*m - 214. What is the hundreds digit of t(11)?
5
Suppose -12*x + 10*x = -22. Suppose 3*v - x = 10. What is the units digit of v?
7
Suppose 2*m = -3*m + 2*f - 8, 5*m = -5*f + 20. Let l be m + (0 - (-1 + -1)). Suppose -5*y = l*t - t - 159, -3*t = y - 29. What is the tens digit of y?
3
Let h = 41 + 1275. What is the tens digit of h?
1
Let u(r) = r**3 - 9*r**2 - 32*r - 18. What is the units digit of u(12)?
0
Let m(g) = 159*g**2 + 13*g + 9. What is the thousands digit of m(5)?
4
Suppose 3*j - 14 = 34. Let z(g) = -g - 496 + 2*g + 262 + 246. What is the tens digit of z(j)?
2
Suppose 4*r - 8 = 4. What is the tens digit of (-60)/9*(-2 - r/3)?
2
Suppose -17*v = 10*v - 43497. What is the tens digit of v?
1
Suppose 3*y = 7*y - 32. Suppose y = -k - 3*v + 93, -89 = -k + v. Suppose -k = -c - 28. What is the units digit of c?
0
Suppose 4*v + 2*p - 296 = 4*p, -3*v + 4*p + 212 = 0. Suppose -z = t + 49, -z - 45 = 3*t + 2*t. Let q = v + z. What is the tens digit of q?
2
Suppose -5*m = 9*m - 42. Suppose 12*j - 10*j = 5*p - 1250, m*j = 3*p - 741. What is the tens digit of p?
5
Let g be (10/15)/(3/9). Suppose -2*n + 223 = -0*n + 3*c, -g*c + 327 = 3*n. What is the units digit of n?
7
Suppose 47*r - 58*r = -44748. What is the thousands digit of r?
4
Suppose 5*k = -3*s + 248, 0 = -3*s + 2*k - 6*k + 253. Let m(v) = v**3 + 3*v**2 + 3*v. Let a be m(-5). Let w = a + s. What is the units digit of w?
6
Suppose -25 = -u - 3*c, 5*u + 4*c - 8 - 84 = 0. Suppose x - 14 = 2*y + 3*y, -y - u = x. Let r = -6 - x. What is the units digit of r?
5
Suppose 0*x - 5*x = -4*m + 10399, 0 = -4*m - x + 10405. What is the tens digit of (-10)/8 + 2 - m/(-36)?
7
Let o = 217 + -30. What is the tens digit of o?
8
Let p(s) = -s**3 - 16*s**2 - 23*s - 24. Let a be p(-15). Let f = -75 + a. What is the units digit of f?
1
Suppose 351*a = 354*a - 9381. What is the hundreds digit of a?
1
Let f be (-2)/5 - 330/50. Suppose -3*m = -m - 2. Let n = m - f. What is the units digit of n?
8
Let w(j) = j**2 + 17*j + 131. What is the tens digit of w(-27)?
0
Let s = 25 + 1818. What is the units digit of s?
3
Suppose -3*k + 6*k = 9. Suppose -5*g = 2 + k. Let v = 8 + g. What is the units digit of v?
7
Let c be 2/4 + 2/(-4). Suppose -n + 2*b - 3 = c, b + 1 = n - 0. Suppose 46 = n*x - 39. What is the units digit of x?
7
Suppose 12*m - 6*m - 54 = 0. Let n(g) be the third derivative of -g**6/120 + g**5/6 - 3*g**4/8 + 2*g**3/3 + 2*g**2. What is the units digit of n(m)?
4
Suppose -2*m - 20 = -6*m. Let r(b) = b**3 + b**2 + b + 3. Let a be r(0). Suppose -a*u = 4*j - 82, -j - 56 = m*u - 187. What is the tens digit of u?
2
Let l(b) = -b**3 + 8*b**2 + b - 8. Let w be l(8). Suppose -2*h - 4 = -0*h, w = -3*s + 4*h + 8. Suppose s = -c - 0*c + 22. What is the units digit of c?
2
Let y(r) = r**3 - 17*r**2 - 17*r + 51. Let s be y(17). Let q = s + 366. What is the hundreds digit of q?
1
Suppose 4*q = 9 + 3, g - 3*q = 27. What is the tens digit of 1124/g + 4/(-18)?
3
Let w = -5562 - -3042. What is the tens digit of w/(-27) + (-2)/(-3)?
9
Let g(o) = -o**3 + 9*o**2 - 12*o + 16. Let s be g(7). Let n = 97 - s. What is the units digit of n?
7
Let b(g) = 6*g**2 - 27*g + 68. What is the tens digit of b(13)?
3
Suppose -3131 + 8531 = 8*s. What is the tens digit of s?
7
Let z(l) = 5*l**2 - l + 27. What is the tens digit of z(-8)?
5
Let c = -477 - -725. What is the tens digit of c?
4
Let m(w) = w**3 - 5*w**2 + w - 1. Suppose -10 = -3*i + i. Let b be m(i). Suppose -b*p + 45 = 5*r, r + p - 20 = -2*p. What is the units digit of r?
5
What is the tens digit of 20/90 - (-993)/27 - 1?
3
Suppose -i = 1 + 2. What is the tens digit of 63 - i - (-3)/(-3)?
6
What is the units digit of ((-4)/6)/(8/(-22188))?
9
Let k(v) = v + 7. Let n(c) = c**2 + c**3 + 3*c - 1 - 7*c - c - 1. Let j be n(-3). What is the units digit of k(j)?
2
Let n = 4774 - 1470. What is the units digit of n?
4
Let p(n) = 5*n - 3*n - 7*n + 6. Let c be p(-4). Suppose -3*u + c = -46. What is the units digit of u?
4
Let l(q) = -2*q**3 + 2*q**2 + q - 2. Let x be l(2). Suppose -7*g + 2*g + 80 = 0. Let f = g + x. What is the units digit of f?
8
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