 is the units digit of (-1980)/(-15)*p/(-3)?
4
Suppose 4*g = -4*r - 15 - 5, -5*r = -4*g + 16. Let i(u) = -2*u**3 + 44*u + u**2 + 0*u**2 - 42*u. What is the units digit of i(r)?
6
Let b = 48 + -43. Suppose 11 + 9 = b*s. Suppose s*x = -12 + 264. What is the units digit of x?
3
Let t(x) = 1994*x**2 + 11*x + 12. What is the hundreds digit of t(-1)?
9
What is the hundreds digit of ((-2)/(-10) + 1)*((-47090)/(-10) + 1)?
6
Let i be (11/6 - 2) + (-38)/(-12). Suppose -3*s + 2160 = i*b, -4*s + b + 570 = -2320. What is the hundreds digit of s?
7
Suppose 23*t + 34*t - 142491 = 527031. What is the hundreds digit of t?
7
Suppose -54*z + 23*z = -592937. What is the thousands digit of z?
9
Suppose 9814 = 2*i + 2*l, 11*i + 5*l - 4907 = 10*i. What is the thousands digit of i?
4
Let n = 393 - 63. Let j = -193 + n. What is the units digit of j?
7
Let c(p) = 8246*p**3 - 7*p**2 - 8*p + 16. What is the hundreds digit of c(1)?
2
Let m(j) = 492*j + 235. What is the tens digit of m(9)?
6
Suppose 21*r = -78938 + 206576. What is the thousands digit of r?
6
Let b = -85 - -99. Suppose 21*d = b*d - 1155. Let q = 32 - d. What is the tens digit of q?
9
Let d(j) be the second derivative of 11*j**3/6 + j**2 - 9*j. Let g be d(7). Suppose -2*u + 93 = -g. What is the tens digit of u?
8
Let h(u) = 1782*u + 51. What is the hundreds digit of h(1)?
8
Let r(o) = -200*o + 19. Let f(c) = -202*c + 19. Let k(d) = -4*f(d) + 3*r(d). What is the units digit of k(3)?
5
Suppose 4*z - 40642 = -3*c, -5*z - 18*c = -13*c - 50805. What is the ten thousands digit of z?
1
Suppose 375*v = 389*v - 19334. What is the units digit of v?
1
Let g be (-8 + 11)/((-1)/((-8)/6)). Suppose g*x - 2*i - 1300 = 0, 5*x - 300 = 5*i + 1315. What is the units digit of x?
7
Let x = 1626 - 1007. Let v = x - 204. What is the tens digit of v?
1
Let l(r) = -322*r + 276. What is the hundreds digit of l(-5)?
8
Suppose -25954 = -6*c + 52*c - 552056. What is the units digit of c?
7
Suppose -102*w - 595840 = -172*w. What is the hundreds digit of w?
5
Suppose -q - 240968 = -5*q - 2*g, -2*q - 3*g = -120472. What is the units digit of q?
5
Suppose -l = 3*g - 6 + 25, -2*g = -5*l - 44. Let b(t) = t**3 + 12*t**2 + 17*t + 20. Let j be b(l). Let q = 127 - j. What is the units digit of q?
7
Suppose -3*k + 12 = -4*m - 8*k, -k - 6 = -m. Suppose 6*i + u = 4*i + 234, m*i - 240 = -4*u. What is the tens digit of i?
1
Suppose 11*z = 86 - 31. Suppose z*i = 5*x - 3170, -5*x + 167 = 4*i - 2985. What is the units digit of x?
2
Suppose -5*f - 5981 = 5*j - 109651, -4*f = 3*j - 62202. What is the units digit of j?
4
Let m(b) = 2445*b**2 + 48*b - 101. What is the units digit of m(2)?
5
Suppose -2*d + 3*k = 2*k - 45, 51 = 2*d - 3*k. Suppose d*b - 4161 = 2*b. What is the hundreds digit of b?
2
Let c = -37 - -64. Let s(r) = -r**2 + 11*r - 7. Let p be s(10). Suppose c = p*l - 171. What is the tens digit of l?
6
Let r = -4554 + 15713. What is the tens digit of r?
5
Let g(b) = b**3 + 17*b**2 - 14*b + 8. Let l(k) = -k**2 + 24*k + 96. Let d be l(28). What is the units digit of g(d)?
8
Let y(x) = 112*x**2 - 5*x + 4. Let s = 417 - 415. What is the units digit of y(s)?
2
Suppose -5*f + 19013 = -v - 1217, -f - 3*v = -4046. What is the units digit of f?
6
Suppose -5*b + 14*x = 10*x - 32, -4*x = 4*b - 4. Suppose 8 = -4*t, 460 = -6*r + 8*r - b*t. What is the tens digit of r?
2
Suppose 33*r = 5*r + 756. Suppose r*u - 3*u - 17064 = 0. What is the hundreds digit of u?
7
Let z(i) = -11*i - 28. Let c(o) = -33*o**2 - o - 1. Let p be c(-1). What is the units digit of z(p)?
5
Let r(m) = 660*m - 733. What is the hundreds digit of r(46)?
6
What is the hundreds digit of ((-124)/(-124))/((-2)/(-20)) - -11609?
6
Let c = 7 - 3. Suppose x + c*o = 537, 8*x + 2*o = 5*x + 1651. What is the units digit of x?
3
What is the thousands digit of (-7)/28 - (-1420011)/108?
3
Suppose 0 = 5*k - 4*c - 24, -5*k + 6*c + 22 = 4*c. Suppose 30 = 3*j - k*j. What is the tens digit of 44 - ((-72)/j - (-4)/(-10))?
4
What is the tens digit of (-4665672)/(-594) - (-1)/3?
5
Let y be 89 + 2*(-1)/(-2). Let f be (-12)/8 + (-714)/28. Let n = y + f. What is the units digit of n?
3
What is the units digit of 13857 - (1 + -1)*(-30)/(-60)?
7
Let u = -13825 + 22102. What is the tens digit of u?
7
Suppose 3224606 = 145*x + 9*x. What is the units digit of x?
9
Suppose -8*i + i = -12593. Let g = -984 + i. What is the units digit of g?
5
Suppose 11*t = 56834 + 157523. What is the hundreds digit of t?
4
Let k = 19781 + -10206. What is the tens digit of k?
7
Let v(o) = 10 + 2*o - 3*o - 4*o**3 - 8*o**2 + 8*o**2 - 3*o**2. Let z be v(-3). Suppose -17 - z = -3*b + 3*a, 2*b + 4*a = 86. What is the tens digit of b?
3
Let b(p) = 24*p**2 + 98*p - 187. What is the thousands digit of b(-51)?
7
Let b = -6826 + 4759. Let i = -1323 - b. What is the tens digit of i?
4
Let g(x) = 212*x + 186. Let k be g(24). Suppose 150*b - k = 141*b. What is the units digit of b?
6
What is the hundreds digit of (6887/679)/(1/427)?
3
Let x(n) = -2*n - 60. Let l be x(-29). What is the tens digit of (579/l)/(6 - (-39)/(-6))?
7
Suppose -24*o = -6*t - 19*o + 35740, 4*t = 2*o + 23824. What is the tens digit of t?
5
Let y = 43 + -87. Let l = y - -40. Let g(n) = -56*n + 26. What is the tens digit of g(l)?
5
What is the thousands digit of 1704494/33 + (2 - (-4)/(-3))?
1
Suppose -5*z = -p - 2*z + 1043, -2*p + 3*z + 2098 = 0. Suppose i = p - 109. What is the units digit of i?
6
Suppose -2*s = -4*q - 28, -5*s - q = -4*q - 35. Suppose -s*y - 18 = -y. Let m = y + 8. What is the units digit of m?
2
Let d be 8/(-44) - -26*(-1)/(-22). What is the units digit of (d + 1)/((-4)/(-276))?
8
Let v(d) = d**3 - 4*d**2 - 18*d + 33. Let i be v(6). Suppose b = -0*b + 355. What is the hundreds digit of (b + 2)*(i/(-9) + 0)?
1
Suppose 7*r + 15806 = 2*b + 6*r, 31636 = 4*b + 2*r. What is the thousands digit of b?
7
Let x be -4*((-6)/(-4) - 2)*-1. Let n be (x - 0) + (-39 - -2 - 2). Let p = 115 + n. What is the tens digit of p?
7
Suppose -10 = -2*t + 4*t, 2*d = 5*t + 3685. Let r = 2795 - d. What is the units digit of r?
5
Let b be 4 - 8 - (-6 - -2)*1. Suppose b = -60*g + 61*g - 1275. What is the units digit of g?
5
Let f(i) = 16*i**2 - 37*i + 303. What is the units digit of f(18)?
1
Suppose -2*h = -4, -3*s + 3*h + 8 = 4*h. Suppose -j = -s*j - p + 10, -5*j - p + 58 = 0. Suppose -316 = -j*n + 8*n. What is the tens digit of n?
7
Suppose 11*w - 26*w + 10155 = 0. Let s = w - 355. What is the hundreds digit of s?
3
Let y(m) = 9*m - 4 + 524*m**2 - 3*m + 138*m**2 - 3*m. What is the units digit of y(1)?
1
Let n = -507 - -1111. Let j = -286 + n. What is the hundreds digit of j?
3
Let z = -5275 - -3151. What is the tens digit of (0 + 10)/(12/z*-3)?
9
Let l be (-4)/14 + (-1184)/(-28). Suppose -34 = -4*u - l. What is the tens digit of u + 2*(-105)/(-5)?
4
Let j(u) = u**3 + 19*u**2 - 26*u - 12. Suppose -n - 54 + 113 = -4*b, 0 = -4*b + 4*n - 44. What is the tens digit of j(b)?
7
Let c(o) be the second derivative of -24*o**3 - 11*o**2 + 136*o. What is the hundreds digit of c(-6)?
8
Let i = -4169 + 5638. What is the thousands digit of i?
1
Let c be (-1 - (2 - 2))*0. Suppose -2*k - 10 = c, 348 = 3*r - 3*k - 21. What is the units digit of r?
8
Suppose 0 = -2*v + 3*q + 26, 3*q - 38 = -3*v + 8*q. Let y(z) = z**3 - 16*z**2 + z - 20. Let o be y(v). Let f(u) = -6*u - 10. What is the tens digit of f(o)?
1
Suppose 19703*o - 4809 = 19700*o. What is the thousands digit of o?
1
Let z(v) = 127*v**3 + v**2 - 14*v + 12. Let d = -265 - -266. What is the tens digit of z(d)?
2
Suppose -40 = -6*o + 8*o. Let s be o/(2 + -7) + -2. Suppose -s*c + 150 = 4*f, 3*f = -4*c + 216 + 79. What is the tens digit of c?
7
Let w be (4 + 1355)*(-2)/(-6). Let r(q) = 271*q + 16. Let b be r(-1). Let h = w + b. What is the hundreds digit of h?
1
Let a(m) = 69*m - 96. Let r be a(19). Let b = r + -525. What is the units digit of b?
0
Suppose 23768 = -8*f + 139432. Suppose -1951 + f = 33*y. What is the units digit of y?
9
Let k(p) be the third derivative of -p**6/120 + 7*p**5/30 + p**4/6 - p**3/6 + 56*p**2. What is the units digit of k(6)?
1
Let p(x) = -31*x**3 - x**2 + 3*x + 2. Let o be p(-1). Let g = 123 + o. What is the tens digit of g?
5
Suppose -2*q + 22 = -32. Let s = q - -15. Suppose 0*j = l + 3*j - s, -4*j = l - 46. What is the units