 the thousands digit of f?
1
Suppose 14*d = -1396 + 4056. Let q = d - 177. What is the units digit of q?
3
Let m = 1241 - -493. Let g = -1134 + m. What is the units digit of g?
0
Suppose 12*v = 2249 + 271. Suppose 2*w = v + 216. What is the hundreds digit of w?
2
Suppose v + 2650 - 7938 = -x, -3*v + 15859 = 4*x. What is the thousands digit of v?
5
Let r(v) = 3452*v + 253. What is the hundreds digit of r(1)?
7
Suppose y + 4 = 0, 48 = 2*c + 2*c - 3*y. Let w(n) = -n**2 - 3*n + 2. Let q be w(c). Let s = q + 134. What is the tens digit of s?
2
Suppose 10720 = 5*i + 5*k, -6431 = -3*i + 2*k - 4*k. Let r = 3016 - i. What is the hundreds digit of r?
8
Let u(y) = 7693*y - 8124. What is the ten thousands digit of u(10)?
6
Let n be (-13)/(5 + 8) + (4 - 1). Suppose -6*q = -n*q + 5*y - 7850, 4*y + 3938 = 2*q. What is the hundreds digit of q?
9
What is the units digit of ((-666)/27 - -22)/(0 - (-1)/(-18))?
8
Suppose 0 = 5*a + 3*k - 173749, -5*k = 5*a - 9*k - 173728. What is the tens digit of a?
4
Let x(u) = 5*u - 36. Let s be x(3). Let v be 4/(-8) - s/2 - 3. Suppose -239 + 1 = -v*y. What is the units digit of y?
4
Let b be (-1)/(54/816 - (-1)/(-8)). Suppose -3705 = -b*h + 783. What is the tens digit of h?
6
Suppose -93 = -2*w - 119. Let g(b) = -b**2 + 15*b + 1. Let r be g(15). What is the hundreds digit of (w - r)*(12 - 21)?
1
Let z(p) = p**3 - 5*p**2 - 15*p + 6. Let h be z(7). Let s be ((-168)/9)/(h/9). Suppose -4*y = -2*y - s. What is the units digit of y?
4
Let r be (-1 - 0) + 1640 + (-76)/(-76). Let y = r - 1153. What is the tens digit of y?
8
Let o be ((-1514)/(-2))/((-1 + 0)*-1). Let r = -629 + o. What is the hundreds digit of r?
1
Let z(j) = -21*j + 8 + 2 + 85*j + 5*j. What is the tens digit of z(1)?
7
Suppose 5*p + 7020 = 5*x, 0 = -5*x - 5*p + 4159 + 2861. Suppose -q - x = -13*q. What is the tens digit of q?
1
Let c = 130 - 28. Let g = -69 + c. Suppose -r + 51 + g = 0. What is the units digit of r?
4
Suppose -200995 = -5*b + 3*h, 59*b = 64*b + 4*h - 201030. What is the units digit of b?
2
What is the units digit of (-59134)/(-4) + 1 + (363/(-22) - -17)?
5
Suppose 22*n - 48763 - 24043 = 2126. What is the hundreds digit of n?
4
Let f be ((-3)/2)/(30/40) + 2. Let a(t) = -2*t + 19. Let k be a(8). Suppose k*g - 5*v - 48 = 2, -2*g + 3*v + 34 = f. What is the units digit of g?
0
Let x = -799 + 868. Suppose 0 = x*z - 18*z - 9231. What is the hundreds digit of z?
1
Let s(g) = -g**3 + g**2 - 3*g + 5. Let j = -17 + 17. Suppose j = 3*f + 5 + 7. What is the units digit of s(f)?
7
Suppose -503*b + 857393 = -125*b - 4004443. What is the thousands digit of b?
2
Let d be (4536/(-135))/(1/(-5)). Let m = 297 - d. What is the tens digit of m?
2
Let u(c) = 554*c**2 - 1501*c + 9014. What is the units digit of u(6)?
2
Let o be ((-38)/(-4))/(5 + (-44)/8). Let z = o + 19. Suppose 5*p - 70 - 20 = z. What is the units digit of p?
8
What is the units digit of -2*((-3748)/8 + -8 + -6)?
5
Let v(f) = -f + 11. Let k be v(-4). Suppose -k*z = -27*z + 9828. What is the units digit of z?
9
Suppose 9*n - 522 = -45. Suppose -1101 = -2*l + n. What is the hundreds digit of l?
5
Suppose 0 = 2*a + j + 34, 4*a + 3*j = 6*j - 58. What is the tens digit of (-7934)/a + -1 + 100/800?
9
Let v = -41 - -35. Let p(m) = 2*m**2 + 0*m**3 + 6 - m - m**3 - m**2 - 5*m**2. What is the units digit of p(v)?
4
Let h = 57 + -121. Let n = -62 - h. Suppose -5*t + 726 = -4*z, 0*t + n*z = t - 144. What is the tens digit of t?
4
Let j(g) = 6240*g**2 - 45*g + 27. What is the units digit of j(-2)?
7
Let s(d) = -d**2 + 10*d + 15. Let f be s(11). Suppose f*o - 72 = -64. Suppose o*i = -37 + 245. What is the units digit of i?
4
Let m be (-1 - -1) + -11*(50 + 2). Let o = m - -1056. Suppose 0 = -3*p + 2*d + o, -p + 166 = 4*d - 0. What is the hundreds digit of p?
1
Suppose -91*f = -19825 - 33228. What is the hundreds digit of f?
5
Let x = -2226 + 1371. Let r = x + 1523. What is the hundreds digit of r?
6
Suppose -53*n = 3*r - 48*n - 2517, -3356 = -4*r - 2*n. What is the hundreds digit of r?
8
Let v = 124 + -81. Suppose 6*y - 305 = v. Suppose y = 2*l - 0*l. What is the tens digit of l?
2
Suppose -53 = -2*f - 5. Let k(h) = -h**3 + 23*h**2 + 25*h - 27. Let g be k(f). What is the units digit of (-12 + 1)/(g/21)?
7
Let k(o) = -11*o**2 + 26*o + 26. Let v(d) = 5*d**2 - 12*d - 13. Let x(f) = -6*k(f) - 13*v(f). Let p = -3 - 1. What is the tens digit of x(p)?
2
Suppose v + 3*b + 1783 = 242, 2*b - 6178 = 4*v. Let o = 2583 + v. What is the units digit of o?
9
Let v(u) be the second derivative of 7*u**3/6 + 29*u**2/2 + 9*u. Let t be v(-7). Let r(q) = -7*q - 33. What is the units digit of r(t)?
7
Let s(f) = 4*f**2 - 3*f + 1. Let h = 68 - 46. Let z = h - 17. What is the units digit of s(z)?
6
Let c be 8 - -800 - 4*1. Suppose 16*r = 14*r - 2*l + c, 4*r - 5*l = 1617. What is the tens digit of r?
0
Let n = 984 - 540. What is the units digit of (-30)/(-9)*n/5?
6
Let j be -1 + ((-2)/(-12) - 13558/(-12)). Let s = -227 + j. What is the tens digit of s?
0
What is the thousands digit of (-6)/9 + 2359933/87?
7
Suppose 2*b = -3*b + 5*t + 80295, 0 = 3*b - 4*t - 48180. What is the hundreds digit of b?
0
What is the hundreds digit of 1400 - 5 - (-75)/15?
4
Let r(i) = 2352*i**3 - 4*i**2 + 31*i - 28. What is the thousands digit of r(1)?
2
Let b = 68 + -67. What is the tens digit of (b + -107)/(4/(-56))?
8
Suppose -45*i + 243983 + 108938 = 94*i. What is the tens digit of i?
3
Let o be 6279/30 - 33/110. Suppose -1943 - o = -2*j - 2*u, -3*u = -3*j + 3228. What is the tens digit of j?
7
Let g(w) = -w**3 - 2*w**2 - w. Let m be g(-2). Suppose 0 = i + 3, -2*s - m*i = -0*s. Let v(h) = 14*h**2 - 6*h + 7. What is the tens digit of v(s)?
1
Let j(o) = -8*o**3 - 58*o**2 - 49*o - 324. What is the hundreds digit of j(-18)?
4
What is the units digit of (-15)/(-13 - -8)*(10 + 971)?
3
Suppose 348 = -n + 351. Suppose 5*g = -n*j - 2*j + 2380, 5*g = -4*j + 2380. What is the units digit of g?
6
Suppose -p + 16 = -5*s, 4*s + 2*p + 34 = 10. What is the tens digit of 3/s - (-129630)/232?
5
Let p(k) be the second derivative of k**4/6 - 13*k**3/6 - 4*k**2 + 254*k. Let f(s) = -5*s. Let d be f(-2). What is the tens digit of p(d)?
6
Suppose -2*n = t - 42, -18*n - t = -19*n + 24. Suppose 0 = 2*c + 2*c - 12. Suppose 2*q - 5*l - 27 = 0, 0 = q + 3*l - n + c. What is the tens digit of q?
1
Suppose -57*y - 37*y = -70*y - 392904. What is the ten thousands digit of y?
1
Let d(c) = 173*c**3 - 33*c**2 + 97*c + 16. What is the ten thousands digit of d(4)?
1
Suppose 0 = -4*y - 4*b - 16, 0 = -y + b + 4*b + 8. Let h be 120/36*(y + 87 + 2). Let q = -56 + h. What is the units digit of q?
4
Let q be ((-31104)/(-15))/((-53)/(-10) - 5). Suppose -13*w - 3*w = -q. What is the tens digit of w?
3
Let z(f) = 3*f**3 + 6*f**2 + 9*f + 69. What is the units digit of z(9)?
3
Let d(g) = -1263*g - 4. Let i be d(1). Let k = i + 2356. What is the thousands digit of k?
1
Suppose x + 2*x = 42. Let v(f) = -460 - 12747*f**2 + 12748*f**2 - 10*f + 480. What is the tens digit of v(x)?
7
Suppose -21*f - 243 = -18*f. Let y = 163 - f. Suppose -y = 4*b - 8*b. What is the units digit of b?
1
Let x(y) = -y**2 - y + 5. Let n be x(-3). Let w be ((-21)/14 - n) + 10/4. Suppose -d + 7 = -w. What is the units digit of d?
9
Let y = 2123 - 1171. What is the tens digit of y?
5
Suppose -4*m = 11*l - 13*l + 12, -6 = 3*m - 3*l. Let n(g) = -41*g - 81. What is the tens digit of n(m)?
8
Suppose 7 = g - 4. Let n = g + -3. Suppose -1825 + 305 = -n*s. What is the hundreds digit of s?
1
Let w(g) = 14*g**2 + 17*g + 33. Let n(s) = -15*s**2 - 18*s - 29. Let u(f) = -3*n(f) - 2*w(f). What is the hundreds digit of u(-7)?
7
Let j(z) = z**2 + 2*z + 44. Let g be j(-10). Suppose -g = -d + 238. What is the tens digit of d?
6
What is the thousands digit of 54268/20 - ((-132)/30)/(-11)?
2
Suppose -5*q - 2*j = -2*q - 6, -4*j - 32 = -5*q. Suppose 2*s + n + 6 = -3*n, -q*n - 16 = 0. What is the units digit of (-9)/2*s*-2?
5
Suppose 76 = 2*f + 66. Let w be (15/f)/(1 + (-21)/12). Let u(c) = -29*c + 3. What is the tens digit of u(w)?
1
Let l(d) = -d**2 - 496*d - 266. What is the thousands digit of l(-78)?
2
Let x be (-22 - -2) + 1 - -5. Let m(i) = i**2 - 13*i - 13. What is the tens digit of m(x)?
6
Let t(w) = 546*w**2 - 38*w + 211. What is the ten thousands digit 