- n. What is the units digit of u?
8
Let q = -67 + 70. Suppose 0*j = -q*b + j + 1229, 3*b - 1227 = 3*j. What is the units digit of b?
0
Let m(x) = x + 11. Let t be m(19). Suppose -23*d + t*d = 3997. What is the tens digit of d?
7
Suppose 371*d - 434 - 312 = 370*d. What is the tens digit of d?
4
Suppose 0 = 20*m - 284575 - 1062125. What is the ten thousands digit of m?
6
Let p(x) = -2*x**3 + x. Let k(n) = -20*n**3 + 9*n**2 + 20*n - 8. Let j(d) = k(d) - 6*p(d). What is the units digit of j(-5)?
7
Let h(d) = d**3 + 14*d**2 - 13*d + 8. Let t be h(5). Suppose 0 = -n + 12 + t. What is the units digit of n?
0
Suppose -5*q = 2*j - 3921 - 2848, -10137 = -3*j - 2*q. Suppose 5*y - j - 383 = 0. What is the units digit of y?
2
What is the units digit of (-11 + 1 + 1)/(183/(-866078))?
4
Let g(m) = -5*m + 7. Let l be g(-1). Let s be l/(-18) - (-64)/6. What is the units digit of 16*3/(15/s)?
2
Suppose 22*o - 5937 - 16437 = 0. What is the thousands digit of o?
1
Let v be 16/24 - (-43)/3. What is the tens digit of (v + -1 + 0)*13?
8
Let l(k) be the first derivative of k**3/3 + k**2 + 3*k - 7. Let d be l(9). Suppose -2*q + 5*w + 70 = -d, 0 = 5*w. What is the units digit of q?
6
Let i = 5495 + -2185. What is the tens digit of i?
1
Suppose 31*d = 27*d. Suppose 15*j - 36*j + 9954 = d. What is the units digit of j?
4
Suppose 3*m = -5*q + 21409, m = -6*m + 2*q + 49968. What is the thousands digit of m?
7
Suppose 5*a - 39 = -2*q, -2*a + 0*a = q - 15. Let s be 30/a*4*3. Let x = -3 + s. What is the units digit of x?
7
Suppose 3*q - 283 = -t, -2*t + 4*q + 518 - 12 = 0. What is the units digit of t?
5
Let m(g) = -g**2 - 196*g - 1068. What is the units digit of m(-78)?
6
Let f = -30 + 54. Let d be f/(-18)*(-6)/4. What is the units digit of (d + -7)*(-20)/4?
5
Let r = 21 + 143. Let q = r + -144. What is the tens digit of q?
2
Suppose 2*y = -3*z + 259 + 16675, 3*y = -4*z + 25399. What is the tens digit of y?
6
Let y(g) = 12*g + 7. Let x be y(3). Let c = x - 58. Let r(q) = -8*q - 8. What is the hundreds digit of r(c)?
1
Let t(x) = 4*x**2 + 9*x + 3. Let f be t(-3). Suppose -8*i + f = -5*i. Suppose -3*n + 472 = 4*u, -i*n + 291 = 4*u - 185. What is the tens digit of u?
1
Suppose 13*l - 45376 = 18753. What is the thousands digit of l?
4
Suppose 3*o - 6*o + 93 = 0. Let f = o - -37. Suppose h - f - 284 = -3*d, 3*h + 610 = 5*d. What is the tens digit of d?
1
Let g(t) = 9*t**2 + 21*t + 95. What is the tens digit of g(-13)?
4
Let i(d) = 12*d + 4*d - 15*d - 2. Let m be i(0). What is the tens digit of (3/1)/(m/(-54))?
8
Let o be (-4 + 1)*896/21. Let d = 213 - o. What is the tens digit of d?
4
What is the units digit of (38/3)/(13 - 53209/4095)?
5
Let v be (-30)/70 - (-129)/7. What is the units digit of (5 - 17)*(-24)/v?
6
Let u = -13193 + 17591. What is the thousands digit of u?
4
Suppose 41 = 2*a - 5*n, a - n - 3*n - 16 = 0. What is the hundreds digit of 6/14 - (-14100)/a?
5
Let y(v) = -v**2 + 3*v + 9. Let n be y(0). Suppose -5*c + n*c - 120 = 0. Suppose -5*b - 120 = -5*r, -5*b = -2*r + 9 + c. What is the units digit of r?
7
Let t(j) = -j**3 + 10*j**2 - 9. Let s be t(7). Let a = 600 - s. What is the tens digit of a?
6
Suppose -30*z - 285 = -33*z. Let g = 33 + -31. Suppose -g*y = -y - z. What is the units digit of y?
5
Let r = -92198 - -170829. What is the ten thousands digit of r?
7
Suppose 3*u + 5079 + 15 = 3*j, j - 1701 = 2*u. Let d = 2700 - j. What is the hundreds digit of d?
0
Let r(m) = -5*m - 5. Let y be r(-5). Let t = -7 + y. What is the units digit of -2 + (-12)/(-8) + t/2?
6
Let b(i) = 16*i**3 + 116*i**2 + 137*i + 209. Let v(c) = 3*c**3 + 23*c**2 + 27*c + 42. Let x(s) = 2*b(s) - 11*v(s). What is the tens digit of x(-21)?
3
Let m be 3/(-5)*(18 - 13). Let g be -2027 - m*(-2)/(-4 - -2). What is the units digit of g/(-22)*1/2?
6
Suppose -2*w + 1440 = -4*f, 0*f = -w + 3*f + 717. Suppose -5*a = -4*o + w, 162 = 2*o - 3*a - 202. What is the hundreds digit of (-5 + 3)/1 + o?
1
What is the thousands digit of (2*2555/(-21))/(13/(-3783))?
0
Suppose 0 = 2*m - 3*f + 100, 9*m - 13*m + 4*f - 192 = 0. Let z = 87 - 148. Let a = m - z. What is the units digit of a?
7
Let p(q) = 578*q**2 + 35*q + 65. What is the ten thousands digit of p(-5)?
1
Let l(h) = 6*h - 222. Let m be l(40). What is the units digit of 15/30 - 3/(m/(-1677))?
0
Suppose -t + 20*w = 19*w - 3049, 3*w - 15221 = -5*t. What is the tens digit of t?
4
What is the units digit of (670/4 + 0)*(-6916)/(-1235)?
8
Let t be (41640/80)/((-1)/(-2)). Let a = t - 464. What is the hundreds digit of a?
5
Let o be 2 + -765 + 2 + 5. Let u = o - -1896. What is the units digit of u?
0
Suppose 0 = -9*j - 1094 + 275. Let w = 41 + j. Let p = 203 - w. What is the hundreds digit of p?
2
Suppose -20*a + 40 = -10*a. Suppose -h + a - 2 = 0. What is the units digit of 0 + h + 3/(-12)*4?
1
Let v(x) = 40130*x**2 + 1. Let d be v(1). Suppose 18*j = -3*j + d. What is the hundreds digit of j?
9
Suppose -5*a + 69609 = 4*s, -2*a + 9481 = -3*s - 18335. What is the tens digit of a?
1
Let j(k) = -200*k - 79. Let h = -616 + 606. What is the hundreds digit of j(h)?
9
Suppose q + 2 = 4*k - 4, 8 = 5*q - k. Suppose -q*u = -2*v - 3*u + 100, -v = 4*u - 64. Suppose -3*z + 4*i + 31 + 112 = 0, i = z - v. What is the tens digit of z?
4
Suppose 2 = -3*p + r, -3*p + 24 = -7*p - 4*r. Let z be (p*(0 + -2) + -4)*-1. Suppose 534 = 3*b - z*b. What is the hundreds digit of b?
1
Let g(w) be the second derivative of w**4/12 + w**3/6 - 2*w**2 + 29*w. Let a be g(2). What is the tens digit of (170 - 3)/(a/2)?
6
Suppose 23 = -4*j + 3*d, 3*d + 3 = 6*d. Let g be j/(-2 + 1)*3/5. Suppose 6*v = g*v + 465. What is the units digit of v?
5
Let c(k) = -k**3 + k**2 + 2*k. Let i = 46 - 43. Let m(g) = -3*g + 4. Let z be m(i). What is the units digit of c(z)?
0
Suppose 0 = 4*f - 7*f + 3*a + 279, 5*f + 3*a - 425 = 0. Suppose f = 2*o - 142. What is the units digit of o?
5
Let i(c) be the second derivative of 1/20*c**5 + 3/4*c**4 - 1/3*c**3 - 5/2*c**2 + 16*c + 0. What is the tens digit of i(-8)?
7
Let b be ((-40)/60)/((-4)/(-30)). Let l(d) = 5*d + 28. Let j be l(b). Suppose -j*g - 3*z + 597 = 0, -g + 4*z + z + 187 = 0. What is the tens digit of g?
9
Suppose -5*w + 32372 = -28963. What is the thousands digit of w?
2
Let t(g) = 17*g - 80. Let q be t(5). Suppose -3*k - 4*l + 284 = 0, -11*k = -8*k + q*l - 289. What is the units digit of k?
8
Let q = 144908 + -100465. What is the thousands digit of q?
4
Let v = -21 + 26. Suppose 4*x + v = 189. Suppose 2*t - x = 258. What is the hundreds digit of t?
1
Suppose 9*k - 82825 = 9407. What is the tens digit of (k/32)/((-6)/(-16))?
5
Suppose 39*k = 295660 - 53353. What is the tens digit of k?
1
Suppose -h - 5*r + 5743 = -r, -3*h + 2*r + 17257 = 0. Suppose -5*p + 1161 = q, 4*q - h = -q + 2*p. What is the units digit of q?
1
Let z = 232 - 216. Suppose 0*w = z*w - 4640. What is the units digit of w?
0
Let c = 12333 - 6904. What is the tens digit of c?
2
Let i = -13036 - -19998. What is the thousands digit of i?
6
Let f = -27293 + 89719. What is the tens digit of f?
2
Suppose -5*r - 7 = -s - 267, r - 71 = 4*s. Let o = r - 54. Let h(n) = -4*n**3 - 4*n**2 + 2*n + 2. What is the tens digit of h(o)?
6
Suppose 41*s - 14462 = 160382 - 3751. What is the hundreds digit of s?
1
Let l be (-3 - -1) + 1 + 2. Let r be l/5 - -2*40/(-25). What is the tens digit of 1/(-6)*r*2 + 62?
6
Let f = -84 - -84. Suppose f = z + 8 - 5. What is the hundreds digit of 1/(4 - (4 + z/453))?
1
Let u(n) = -2*n**3 - 11*n**2 - 10*n + 13. Let x be (-4)/(-3)*27/(-6). What is the tens digit of u(x)?
0
Let w(g) = -g**3 + 12*g**2 + 7*g + 31. Suppose 0 = 4*v - 18*v + 126. What is the tens digit of w(v)?
3
Let l = -69 - -74. Let i be (9 - l) + 1 + -725. What is the units digit of (6/(-8))/(3/i*3)?
0
What is the thousands digit of 5/(-2)*(-2386200)/375?
5
Suppose 10*v - 6 = 16*v. Let h(c) = c. Let g(l) = -261*l. Let i(k) = v*g(k) - 145*h(k). What is the hundreds digit of i(1)?
1
What is the hundreds digit of (83 - 71)/((-15)/(-85330))?
2
Suppose m + 2*m - 6*m + 6222 = -2*j, 0 = -3*j. What is the units digit of m?
4
Let q = 16618 + -7049. What is the hundreds digit of q?
5
Let i be 0 + 39/9 + (-25)/75. Suppose 7*q + 3*b = i*q + 819, -550 = -2*q - b. What is the hundreds digit of q?
2
Suppose 133368 = 14*q + 24210. W