 Suppose d*m = m + 465. What is the units digit of m?
3
Let a(b) = -893*b - 16. Let o(i) = i**3 + i**2 - 2*i - 1. Let x be o(-2). What is the hundreds digit of a(x)?
8
Suppose 0 = 4*l + 9 + 27. Let d = -29 - l. Let n = d - -43. What is the units digit of n?
3
Suppose 2*l + 3*a - 439 = 0, 3*a = 2*a + 5. Suppose -18*x + 2164 = -l. What is the units digit of x?
2
Let o = 117520 - 49897. What is the units digit of o?
3
Suppose 37*n = -56*n + 778224. What is the tens digit of n?
6
Suppose -g - 537 = -2*z + 1026, -3*z = -g - 1565. Let p = g + 3180. What is the hundreds digit of p?
6
Let n = -9 + 73. Let v be 1*((-4)/(-30) + n/(-30)). What is the units digit of (-16)/(v/(2 - -10))?
6
Let s = -38437 + 71273. What is the units digit of s?
6
Suppose 17*f - 14*f + 22672 = m, 2*f = -5*m + 113309. What is the units digit of m?
3
Let b = 63019 + -33620. What is the thousands digit of b?
9
Let b = -389 - -394. Suppose -4*x + 2876 = 2*g, 2*x - 7166 = -b*g + 4*x. What is the tens digit of g?
3
Let n be (-4 + (-2)/(-1)*-1)/(-2). Suppose n*u - 4800 = -12*u. What is the units digit of u?
0
Suppose 7*n - 1083 - 1059 = 0. Suppose n = r - 238. What is the tens digit of r?
4
Let l be (-3 - 3/(-3))*3/(-2). Suppose 0 = 3*k + 3, 0 = -a + l*a - 2*k - 392. What is the hundreds digit of a?
1
Let g(r) = -r**3 + 16*r**2 + 21*r + 12. Suppose 17*x = 28*x - 176. What is the tens digit of g(x)?
4
Let s(f) = -3*f + 20 + 6 + 15 + 3. Let w be s(17). What is the hundreds digit of 147 - w/((-21)/(-6))?
1
Let y = -701 + 701. Suppose y = -29*x + 32838 + 9386. What is the units digit of x?
6
Suppose -16*w - 3152 = -17*w. What is the units digit of w?
2
Let j(y) = -y**2 + 6*y + 2. Let z(q) = -2*q**2 + 11*q + 4. Let s(v) = 5*j(v) - 3*z(v). What is the units digit of s(-15)?
8
Let l(a) = 6*a**2 + 516*a - 156. What is the ten thousands digit of l(-113)?
1
Let y(b) = -b**2 + 2*b - 13. Let a be y(3). Let r be (-1)/(-4) - (-2 + (-3140)/a). What is the tens digit of (4/8)/((-3)/6)*r?
9
Let v(h) be the first derivative of h**4/4 + 3*h**3 + 7*h**2/2 - 7*h + 51. What is the tens digit of v(-7)?
4
Let d(l) = 2*l - 56. Let j be d(31). Let h(b) = j*b**2 - 24 + 2*b**2 - 68*b + b**3 + b**2 + 55*b. What is the units digit of h(-10)?
6
Suppose y = -2*y - 5*n - 19, -4*y + 3*n = 6. What is the units digit of (y/(-6))/((-5)/(-2040))?
4
Suppose -5483*j + 5511*j = 15764. What is the hundreds digit of j?
5
Let u = 918 + -1604. Let a = u + 1834. What is the tens digit of a?
4
Let x = 2967 - -7276. What is the hundreds digit of x?
2
Let k(g) = g**3 + 3*g**2 - 4*g + 29. Let a be k(-5). What is the tens digit of (a - 11256/(-40))*5?
0
Let s = -12071 - -25977. What is the thousands digit of s?
3
Let y(m) = 101*m**2 - 207*m**2 + 107*m**2 - 6*m - 14 - 61*m**3. What is the units digit of y(-2)?
0
Suppose -m = u + 3 - 10, u + 5 = 0. Suppose 2*x - m*x = -30. Suppose 3*y = -4*n + 36 + 55, -2*y = x*n - 59. What is the units digit of y?
7
Let a = -27 + 30. Let p be (3/a)/(5/10). Suppose -2*c - p*c = -264. What is the units digit of c?
6
Let i = 27840 - -20538. What is the units digit of i?
8
Let i = -333 - -231. Let g = -131 - i. What is the units digit of ((-22)/(-10) - 2)*(g - -724)?
9
Let m(t) = -3*t - 19. Let n be m(-8). Suppose 2*c - n*c - 9 = 0, 5*y - 5*c = 30. What is the units digit of (7/y - 4)*-123?
5
Suppose -2*f - 19 = 5*p, 2*f = 2*p - 0*p + 2. Let u(d) = -38*d - 6 + 5*d - 17*d. What is the tens digit of u(f)?
9
What is the units digit of (4/(-26) + 343/(-1911))/(1/(-55206))?
2
Suppose -41*c + 36*c = 170. Let v = c + 2. Let x = v + 42. What is the tens digit of x?
1
Let d(r) = -174 - 166 + 122 + 89*r - 144. What is the units digit of d(21)?
7
Let m be 2/(-4)*(-114)/19. Let g(b) = -b**2 + 3*b + 3. Let j be g(3). What is the hundreds digit of j + (-2)/(608/204 - m)?
1
Let x(v) be the third derivative of v**5/30 + 7*v**4/12 - 119*v**3/6 + 23*v**2. What is the tens digit of x(14)?
6
Let q(z) = z**3 - z**2 + z - 1. Let w(t) = -20*t**2 - 17*t - 29. Let d(y) = q(y) - w(y). What is the hundreds digit of d(-17)?
3
Let z(i) = -153*i - 47. Suppose -56 = 30*n - 16*n. What is the units digit of z(n)?
5
Let j(d) = -5*d**2 + 14*d - 18. Let r(i) = -i**2 - i. Let m(y) = -j(y) - 3*r(y). Let x be m(6). Suppose -k - 4*k = -x. What is the tens digit of k?
4
Suppose -2*b - 2*o + 506 = 0, 380 = 5*b - 4*o - 930. Suppose 0 = 4*f + f + 3*n - b, 5*f - 278 = 2*n. What is the units digit of f?
4
Suppose 11228 = -31*h + 18870 + 73547. What is the hundreds digit of h?
6
Let x(q) = 44*q**2 - 38*q - 584. What is the hundreds digit of x(-35)?
6
Suppose -5*j = 13 + 102. Let a(d) = d + 26. Let w be a(j). What is the hundreds digit of (-511)/(-2) - w - (-1)/(-2)?
2
Suppose 73*r + 195*r = 28*r + 2543520. What is the hundreds digit of r?
5
Suppose 0 = -123*i + 1184543 + 336229. What is the tens digit of i?
6
Let l be 120/(-105) + 284/28. Suppose -210 = -5*g + 4*y, 5*g + 8*y - l*y - 225 = 0. What is the tens digit of g?
4
Let u be 8/(-20)*(-40)/16. What is the tens digit of 21/28*1319 + u/(-4)?
8
Let c(n) = -7*n**2 - 33 + 33*n - 3 + 5 - 6*n. Let g(m) = -10*m**2 + 41*m - 46. Let x(t) = -8*c(t) + 5*g(t). What is the hundreds digit of x(6)?
1
Suppose 3*l - 16 = 20. Let m be 1/4 - l/48. Suppose 5*i = 3*p - 162, m*p + 3*p - 168 = 3*i. What is the tens digit of p?
5
Suppose 5*r = 6*a + 83621, -r - 1491*a + 16709 = -1496*a. What is the tens digit of r?
2
Let y(k) = -22*k**2 + 55 + k + 2*k**2 + 6*k - 9*k - k**3. What is the units digit of y(-21)?
8
Let b(c) = c**2 + 14*c - 2. Let y be b(25). Let a = y - 662. What is the units digit of a?
1
What is the tens digit of (-3596)/29*39/((4/(-13))/1)?
1
Let s be (2/(-8)*-22)/(6/228). Let b = s - 60. What is the units digit of b?
9
Let l(i) = -12*i**3 + 9*i**2 + 61*i + 138. What is the ten thousands digit of l(-14)?
3
Let k(q) be the third derivative of -61*q**6/120 + q**5/60 - q**4/8 - 5*q**3/6 - 4*q**2 - 14*q. What is the hundreds digit of k(-2)?
4
Suppose -2*l + 87 = -l. Let o be 52 - 53 - (-2 + (-1 - 1)). Suppose l - o = 4*u. What is the units digit of u?
1
Suppose 10*c = 13*c - 3. Let o(a) be the second derivative of 10*a**4/3 - a**3/6 + a**2/2 + 21*a. What is the units digit of o(c)?
0
What is the thousands digit of 11*-1 + (10 - 2) + 3986?
3
Let j be ((-10)/(-4) + 1)/((-15)/(-540)). Suppose j = 781*i - 780*i. What is the tens digit of i?
2
Suppose 5*q = -4*i - 20, 2 = i + 2*q + 10. Suppose -s + 0*s = h - 10, -4*h + 4*s = i. Let r(k) = 31*k + 24. What is the tens digit of r(h)?
7
Let r = -12 - -49. Let t = 37 - 73. Let s = r + t. What is the units digit of s?
1
Suppose 80*z - 79*z + 3*t = 12386, -z + 12434 = -5*t. What is the units digit of z?
4
Suppose -20*s = 90670 - 153738 - 118712. What is the units digit of s?
9
Let a = 22415 - 12855. What is the tens digit of a?
6
Let n(m) = m**3 - 8*m**2 + 10*m - 17. Let h be n(7). What is the tens digit of (44/(-11))/(h/2) + 306?
0
Let b = 219 + -198. Suppose b*p = 7811 - 1154. What is the hundreds digit of p?
3
Suppose 3*n + 15*d - 77262 = 18*d, 0 = -2*d + 12. What is the thousands digit of n?
5
Let x(s) = -10 + 29*s**2 + 4 + 3*s - 9*s**2. Let i be x(-3). Let p = -115 + i. What is the tens digit of p?
5
Let b(z) = 52*z**3 + 4*z**2 + 12*z - 57. What is the hundreds digit of b(4)?
3
Suppose -t + 14554 = 2*x, -72757 = 3*t - 8*t + 3*x. What is the ten thousands digit of t?
1
Suppose 3*y + 10*j - 15*j = 13158, 3*j + 8771 = 2*y. What is the thousands digit of y?
4
Let v = 9 - 7. Suppose v*k + o - 10 = 0, 0*k + 15 = 3*k - 3*o. What is the units digit of (-3)/((25/(-90))/k)?
4
Let j(f) = 2*f**3 - 9*f**2 - 7*f - 7. Let r(y) = y**3 + 8*y**2 - 3*y + 61. Let t be r(-9). What is the hundreds digit of j(t)?
1
Let s = 438 - 435. Suppose -l = -3*n - 1372, -4425 = -s*l + 4*n - 324. What is the tens digit of l?
6
Suppose -5*m + 6008 = -m - 5*r, -2*m + 3004 = -3*r. Suppose -m = 2*k + 168. What is the tens digit of (k/20)/((-18)/8 + 2)?
6
Suppose -121 - 9 = 13*y. What is the tens digit of ((-3144)/y)/(68/170)?
8
Let b = 22 + -17. Suppose 2*q + 20 + 24 = -5*l, b*q - 4*l = -143. Let u(i) = i**2 + 26*i + 8. What is the tens digit of u(q)?
3
Let h(c) = c**3 - 8*c**2 + 10*c - 7. Let v be h(7). Let w be (-2072)/(-49) - 4/v. Suppose 3*u = u + w. What is the units digit of u?
1
Let h(q) = 2*