. Let p(t) be the first derivative of -t**3/3 - 9*t**2 - 23*t + 3. What is the units digit of p(c)?
7
Suppose 2*g - 60 = -4*g. Suppose 2*i = -3*i + g. Suppose i*l = 3*k - 264, k - 111 + 23 = 4*l. What is the units digit of k?
8
Let t(w) = -48*w**3 + w**2 - 9*w - 13. Let m be t(-2). Let d = 1446 - m. What is the thousands digit of d?
1
Let t = 828 + 3534. What is the tens digit of t?
6
Let w(i) = 210*i**2 + 2*i - 279*i**2 + 8*i - 4*i. Let s be w(-3). Let n = -424 - s. What is the tens digit of n?
1
Let w(y) = 23*y - 27. Suppose -q - 5*m = -7, -3*q + 4*m + 14 = -q. Suppose 23 + 12 = q*g. What is the tens digit of w(g)?
8
Let x = -6692 - -22748. What is the thousands digit of x?
6
Let y(x) = x**3 - 28*x**2 + 99*x + 31. Let u be y(21). Let i = u + 1524. What is the tens digit of i?
4
Suppose -p + 1852 + 2790 = 2*x, -5*p + 9290 = 4*x. Let u = -1353 + x. What is the units digit of u?
7
Suppose -2*t + 3*w + 76 = -53, -t + 5*w = -54. Suppose -t = -6*r + 93. Suppose 73 = 4*b - r. What is the units digit of b?
5
Let w be 12 + (-72)/27*3. What is the thousands digit of 20/w*326*1?
1
Let q(x) = -566*x**3 - 20*x**2 - 123*x + 4. What is the tens digit of q(-5)?
6
Suppose -695 = -6*t + 871. Let s = -149 + t. What is the units digit of s?
2
Let v = 6 + -4. Suppose 0*g + v*g = 4*p + 304, -2*g = p + 81. Let i = 168 + p. What is the units digit of i?
1
Let c = -258 + 361. Suppose -93*n = -c*n + 680. What is the units digit of n?
8
Let a(z) = -1. Let y(i) be the second derivative of -7*i**3/2 + 3*i**2/2 + 4*i + 6. Let c(m) = 6*a(m) - y(m). What is the units digit of c(5)?
6
Let f(h) = 14*h - 58. Let n be f(7). Let j = 646 + n. What is the hundreds digit of j?
6
Let y(r) = 6*r + 2. Let z be y(-7). Let o = z - -44. Suppose -4*m + 5*d = -269, -d - o*d - 86 = -m. What is the tens digit of m?
6
Let w = 1 + 1. Suppose 3*g = 5*z - 6 - 7, -w*g + 33 = 5*z. Suppose -5*x = 5*m - 285, 4*m + 321 = z*x - 0*m. What is the units digit of x?
1
Suppose 46*s - 48*s + 282 = 0. Let u = 142 + s. What is the hundreds digit of u?
2
Suppose -3*n - 19 = -j, 7*j - 9*j - 2*n = -62. What is the units digit of j?
8
Suppose -4*z = -4, 3*w - 852 = 5*z + 730. What is the tens digit of w?
2
Let j(b) = -13*b**2 - 11*b - 1. Let h be j(-7). Let s = -290 - h. What is the tens digit of s?
7
Let i(n) be the second derivative of -n**5/60 + 2*n**4/3 + 29*n**3/6 + 3*n**2 - 6*n. Let l(u) be the first derivative of i(u). What is the tens digit of l(16)?
2
Let u(b) = -1314*b + 3184. What is the tens digit of u(-9)?
1
Let r = 44 + -10. Suppose 0 = 2*o - 2*g - 22, 4*o - 4 = g + r. Let b = o + 88. What is the tens digit of b?
9
Suppose 777382 + 737290 - 445958 = 27*t. What is the thousands digit of t?
9
Let d = -808 + 2337. Suppose -d*l + 1531*l - 910 = 0. What is the hundreds digit of l?
4
Let q(m) = m**2 - 47*m + 149. Let r be q(24). Let j = -362 - r. What is the tens digit of j?
4
Suppose 3*g = -3*g + 18. Let i(v) = v**2 + 4*v + 3. Let c be i(-4). Suppose -5*w + g*q + 815 = 0, -w - c*q - 649 = -5*w. What is the tens digit of w?
6
Let x(o) = -49*o - 29. Let r be x(-7). Suppose -m - 6*c + 8*c + r = 0, 0 = 4*c + 8. What is the units digit of m?
0
Let p = -115 + 295. Let x = p - -1. Suppose i - 5*b - x = 12, i = -4*b + 148. What is the units digit of i?
8
Suppose 2*r - 15 = -7. Suppose r*w = 3*z + 937, w - z = 4*w - 719. Suppose -3*f + 232 = 2*b, -f - 2*f = -4*b - w. What is the tens digit of f?
7
Let f(j) = j**2 + 3*j + 4. Let n(v) = v**3 - 12*v**2 - 2*v + 20. Let b be n(12). Let x be f(b). Suppose 13*a - x = 9*a. What is the units digit of a?
2
Let q(k) be the first derivative of 3*k**3 - 13*k**2/2 - 27*k + 10. What is the units digit of q(-3)?
3
Let o be 4/(-60)*-10*(-1 - -7). Suppose -3*n - 2820 = -5*d, -3785 = -5*d - o*n - 965. What is the tens digit of d?
6
Let c(x) = -5*x**2 + 4*x - 4. Let b be c(-5). Let f be (-2 + -2)/4 - (b - 2). Let i = f + 18. What is the hundreds digit of i?
1
Let y = 108 + -104. What is the tens digit of 33 - (3 - y)/(6/(-6))?
3
Let m(z) = 134*z**2. Let x be m(1). Let q = -426 + 428. Suppose -3*t = -3*c + 2*t + 90, -4*c + x = -q*t. What is the units digit of c?
5
Let x be (21/(-63))/(1/(-3)) + 1. What is the hundreds digit of ((-11508)/196)/(x/(-14))?
4
Let i = 53082 - 27566. What is the tens digit of i?
1
Let a = -22 + 38. Suppose 0 = -u + 5*u - a. Suppose 0 = 5*o + 2*p - 678 + 98, -374 = -3*o + u*p. What is the hundreds digit of o?
1
Let b(r) be the third derivative of 17*r**4/24 - 53*r**3/6 - r**2 + 2*r. What is the tens digit of b(14)?
8
Suppose -2*g = -3*y + 92, 4*y - g - 42 = 84. Suppose 5*s - y = 18. What is the units digit of 241 + (16/s)/(2/(-5))?
7
Let v(t) = t**2 + 19*t + 184. Let q be v(22). Suppose 4*j = 4*u - 2271 + 111, 0 = -2*u + 4*j + q. What is the hundreds digit of u?
5
Let c(p) = 2*p**3 + 42*p**2 + 32*p + 10. What is the hundreds digit of c(-18)?
3
Let v(n) be the first derivative of -9*n**2 + 53*n + 77. What is the tens digit of v(-6)?
6
Let l be (-176)/10 + 14/(-35). Suppose 8*q = -4*x + 5*q - 117, 3*x + 4*q + 93 = 0. What is the units digit of (7820/l)/(-2) + 6/x?
7
Let y = 38 + -43. Let t be 2/(-8) - ((-275)/(-20) + y). What is the tens digit of 6/t*(0 + -51)?
3
Suppose 601*t = 597*t + 3*u + 156272, 0 = 2*t - 5*u - 78136. What is the thousands digit of t?
9
Let t(g) = 3*g**2 + 2*g - 6. Let a(n) be the third derivative of -n**6/20 - n**5/60 - n**4/24 + n**3/3 - 9*n**2. Let m be a(1). What is the tens digit of t(m)?
9
Let g(w) = 9*w**2 - 4*w - 18. Let d(b) = 4*b - 4. Let r be d(0). What is the tens digit of g(r)?
4
Let s = 987 + -953. Let a = -3 + 0. Let b = a + s. What is the tens digit of b?
3
Suppose 0*y - 92844 = -12*y. Suppose 0 = -3*j - 4*i + 4623, -29*i + 33*i = 5*j - y. What is the thousands digit of j?
1
Let b = 79492 + -50141. What is the thousands digit of b?
9
Let r = -3000 + 5154. What is the thousands digit of r?
2
Let h = 1548 - 500. Let t = h + 217. What is the tens digit of t?
6
Suppose 15085 = 16*p - 6083. What is the tens digit of p?
2
Let j(c) = -8*c + 80*c - 8 + 24. Let u be j(-7). What is the units digit of 10/(-55) - u/22?
2
Let c be -6*(-3)/6*4/(-6). Suppose -831 = 3*q + 39. What is the hundreds digit of (-3 - -4)/(c/q)?
1
Suppose 3920826 - 744958 = 252*z - 495520. What is the units digit of z?
9
Let g(i) = -15*i - 7. Let j(v) be the first derivative of v**4/4 + v**3 + v**2/2 + v + 30. Let x be j(-4). What is the tens digit of g(x)?
7
Let d = 4167 + -268. What is the hundreds digit of d?
8
Let k(z) = -14*z**3 + 4*z**2 + 8*z + 3. Let v be k(-2). Let c be -2 + v/(-2) - 12/(-8). Let j = 97 + c. What is the units digit of j?
9
Let i(r) = -r**3 - 13*r**2 + 29*r - 21. What is the tens digit of i(-27)?
0
What is the units digit of 0 - -14 - -830 - -16?
0
Let p = -168 - -197. Suppose -p*x + 23*x = -1782. What is the units digit of x?
7
What is the hundreds digit of (40 + -109)*(0 - 1000/15)?
6
Suppose -3*y - 122097 = -4*c, y + 32969 = 3*c - 58595. What is the ten thousands digit of c?
3
Let m be (-22)/6 + (-38)/(-57). Let s be ((-25)/(-20))/(m/(-36)). Suppose 11*g - s*g = -120. What is the units digit of g?
0
Let s(c) = -749*c + 317. Let b be s(-5). Suppose -421*j + 427*j = b. What is the tens digit of j?
7
Suppose -4*o + 5*m = 835, 0 = m - 2*m - 1. Let d = o + 585. What is the units digit of d?
5
Let m = 7 + -3. Let w(l) be the third derivative of 3*l**4/4 + 11*l**3/6 - 143*l**2. What is the units digit of w(m)?
3
Let a be (-1)/(7 - 8) + 11. Suppose h + 4*l - 27 = 9, 63 = 2*h - l. Let o = a + h. What is the units digit of o?
4
Suppose 1143*c - 104554 = 1132*c + 4544. What is the thousands digit of c?
9
Let b(w) = -w**3 + 41*w**2 + 28*w + 91. What is the units digit of b(40)?
1
Let h(x) = 2*x - 25. Let m be h(6). What is the tens digit of (-13)/m + (113/1 - -1)?
1
Suppose 22*v = 30947 + 60375. Suppose -4*q - 3*q + v = 0. What is the hundreds digit of q?
5
Let d = -560 + 562. Suppose 0 = -d*n + 4*c + 2518, 0 = -c - 2*c + 3. What is the tens digit of n?
6
What is the units digit of 38147060/(-3325)*(9/(-6) - 1)?
2
Suppose -10*i + 662522 - 162994 = 7*i. What is the tens digit of i?
8
Let l = -1889 + 17402. What is the thousands digit of l?
5
Suppose 0 = -3*f + 9*d + 32532, -10*d = -8*d - 8. What is the tens digit of f?
5
Let u = -29 - -47. Le