- q. What is the units digit of f?
6
Suppose 412*i + 8092 = 414*i. Let g = i + -2373. What is the units digit of g?
3
Let r be 2 + (-2 - 4/(-1)). Suppose -r*t - 2*z = -14, -4 = 5*t + z - 23. What is the units digit of t/18 + 21/27?
1
Let j(f) = -f**3 - 3*f**2 + 23*f - 30. Let v be j(-7). Suppose 5*b - 3*c - 2676 - 6910 = 0, -9589 = -v*b + 2*c. What is the tens digit of b?
1
Let p = -583 - -280. Let n = -132 - p. What is the units digit of 18/n + (-1005)/(-19)?
3
Suppose -2*l - 20 = 2*l, 5*r = -l - 25. Suppose -6*u + 513 = u - 10*u. What is the tens digit of (u - -10)*(-2)/(r/(-2))?
6
Let k = -63 + 68. Suppose -k*m = -8*m + 1029. What is the hundreds digit of m?
3
Let k(o) = 3*o**2 - 6*o - 6. Let c(f) = -18*f**2 - 13 + 3*f + 6*f + 10*f**2 + 7*f**2. Let a be c(4). What is the tens digit of k(a)?
9
Let f be (42/56)/(2/32). Suppose f = -3*k, -v + 2*k = -2*k - 179. What is the units digit of v?
3
Let o(u) = 3*u**2 - 3*u + 9. Let m = 178 + -186. What is the hundreds digit of o(m)?
2
Let d = -49660 - -76520. What is the hundreds digit of d?
8
Suppose -3*q - 19*q - 12408 = 0. What is the units digit of -1 + 18/(-12)*q + -5?
0
Let m = 7 - -11. Let q be (-100)/(-24) + (-3)/m. Suppose 2*t = g - 0*g + 162, q*g = t - 74. What is the units digit of t?
2
Let s = -2897 + 9220. What is the thousands digit of s?
6
Let b(y) = 3*y**3 - 9*y**2 + 6*y + 12. Let k be b(5). Let w = k + -104. What is the units digit of w?
8
Let q = -8522 + 19854. What is the tens digit of q?
3
Let q = 1441 + 1174. What is the units digit of q?
5
Let f = -194 + 166. What is the tens digit of ((-4)/42 + (-12)/f)*1803?
0
What is the hundreds digit of (-13020)/(-7)*10/15?
2
Suppose -66*v + 3 = -65*v. Suppose 0 = 2*n + n - 1770. Suppose -l + 183 = -q, v*q - 135 - n = -4*l. What is the tens digit of l?
8
Let n(p) = -14190*p + 844. What is the thousands digit of n(-2)?
9
Suppose z - 34 = 4*u, -z - 24*u + 43 = -19*u. Let c = z - -58. What is the units digit of c?
6
Suppose -23 = -5*h - 8. Let q(o) = 18*o + 6. Let g be q(h). Suppose 4*p - m - 255 = 0, -p - g = -2*p + m. What is the tens digit of p?
6
Let c(r) = -2*r - 6. Let b be c(-3). Suppose m - 7 + 9 = b. What is the hundreds digit of (4 - 231/(-2)) + m/(-4)?
1
Suppose 3*o - l - 3*l = 11, l = -5*o + 26. Suppose 0 = 5*m + a + 3*a - 1786, 4*a + 1754 = o*m. Suppose 5*r = m + 81. What is the tens digit of r?
8
Let i = 340 + -335. Suppose i*b - 4*v = 2*b + 723, 2*v - 496 = -2*b. What is the tens digit of b?
4
Let i be (-16)/(-6) + (-2)/(-6). Let f(j) = -j**3 + j**2 + j + 1. Let p(c) = c**3 - 6*c**2 - 3*c. Let a(y) = -4*f(y) - p(y). What is the units digit of a(i)?
2
Let n(c) = -34*c**3 + 2*c**2 + c. Let g be n(-1). Let v = g - -252. What is the units digit of v?
7
Let f(z) = -3298*z + 2. What is the tens digit of f(-2)?
9
Suppose m = k - 81, -127 = 2*m + 2*k + 35. Let o be ((-9)/(m/(-174)))/(1/(-6)). Suppose -o = -4*c + 88. What is the units digit of c?
1
Suppose -5*c - 690 = -8*c. Let r = -93 + c. Let v = r - 74. What is the units digit of v?
3
Suppose 356190 = 3*v + 90*v. What is the thousands digit of v?
3
What is the tens digit of (-24)/(-54) - ((-11438977)/153 + 10)?
5
Let p = 19606 + 826. What is the thousands digit of p?
0
Let j(k) = k**2 - k - 4. Let r be j(4). Let i = r + 102. What is the units digit of i?
0
Suppose -159 + 27 = -12*d. Let w(l) = 5 + 11*l - 4*l + 0 - 2. What is the units digit of w(d)?
0
Suppose 21 = 5*l + 1. Suppose 5*g = l*g + 40. What is the tens digit of (26/(-5))/((-2)/g)?
0
Let t(d) = d**2 + 6*d - 7. Let m(i) = -11*i**2 + 3*i + 1. Let f be m(1). Let g be t(f). Suppose g = 4*c - 8, -2*b + 78 = -b + 3*c. What is the units digit of b?
2
Suppose -36784 = -37*c + 275126. Suppose w = 16*w - c. What is the hundreds digit of w?
5
Let s = 41 + -39. Suppose -d - s*i + 24 + 3 = 0, -2*d + 56 = 2*i. Suppose -d*n = -28*n - 49. What is the tens digit of n?
4
Let y = -526 - -540. What is the hundreds digit of y/(-21) + (-3742)/(-6)?
6
Let m(p) = p - 65. Let g be m(7). Let z = 160 + g. What is the hundreds digit of z?
1
Let l(r) = r + 19. Let k be l(0). Suppose 511 = 3*b - 1184. Suppose -k = 7*i - b. What is the tens digit of i?
7
Let d(l) = -5750*l + 3050. What is the units digit of d(-5)?
0
Let i be 3/(-6) - (5 - 3100/(-8)). What is the tens digit of i/1*((-44)/12 - -2)?
5
What is the hundreds digit of ((-4 - 23904/40) + -3)/((-3)/15)?
0
Let z(n) = -n**2 - 35*n + 33. Suppose -10*l - 255 = 35. What is the hundreds digit of z(l)?
2
Let t = -112 + 117. What is the units digit of 66/t*(-540)/(-72)?
9
Let l(n) = -90*n + 22. Let j(q) = -91*q + 22. Let g(u) = -3*j(u) + 2*l(u). What is the units digit of g(5)?
3
Suppose -466 = -m + l, 23*m = 18*m + 2*l + 2345. Suppose 0*u + 3*u - m = 0. What is the tens digit of u?
5
Suppose -226 = -29*s - 52. What is the hundreds digit of 4/12*436 + 4/s?
1
Suppose -40 + 0 = -8*v. Suppose 5*j - v*a = 2853 + 727, -j = 5*a - 716. What is the hundreds digit of j?
7
Suppose -3*k - 28734 = -5*n, 5*n - 4*k - 3888 - 24849 = 0. Suppose -1323 + n = 6*h. What is the units digit of h?
7
Let t(s) be the second derivative of 11*s**4/12 - s**3 - 3*s**2/2 - 51*s. Let r(p) = p - 6. Let a be r(10). What is the hundreds digit of t(a)?
1
Suppose -5*b = -2*f - 67786, 12227 = 3*b - 5*f - 28418. What is the tens digit of b?
6
Let h = -6658 + 12338. What is the hundreds digit of h?
6
Let v(t) = -t**2 + 3*t + 1. Let r be v(4). Let w be r/(-5 - -4) + -311*1. What is the tens digit of (w + 5)/(-2 + -1)?
0
Suppose 0*o - 2*o = b - 103, 6 = -2*o. Suppose 185 + b = 3*t. Let y = t - 85. What is the units digit of y?
3
Let v = 222 + -211. Suppose -4*w = -v*w + 1428. What is the tens digit of w?
0
Suppose 30056 = 18*x - 25*x + 98558. What is the hundreds digit of x?
7
Let m = 101 - 98. Let b be (2 + -5)*(-79)/m. Let u = 141 - b. What is the tens digit of u?
6
Let j(m) = -163*m + 3. Let x be j(-12). Suppose -91 = -5*h + x. What is the units digit of h?
0
Suppose -3*c = -4*l - 43, 4*c + 5*l - 9 = 7. Suppose c*r - 99 = -9. Suppose k = -3*k - 3*i + 246, 0 = -5*i - r. What is the units digit of k?
3
Let l(a) be the second derivative of 3*a + 0 + 79/2*a**2 - 1/2*a**3. What is the tens digit of l(-19)?
3
Let n be 3 + -1 + -7 + 3. What is the units digit of (-1)/n*(123 + -5)?
9
Suppose 0 = -3*w + 3, 0*r = -2*r + 3*w + 687. Suppose 4902 = -339*k + r*k. What is the units digit of k?
7
Let r(i) = -i**2 + 22*i - 32. Let n be r(18). Let f be (-804)/(-6 - 0) - 5. Let p = f - n. What is the units digit of p?
9
Let y(z) = 2*z**3 + 175*z**2 + 44*z + 435. What is the tens digit of y(-87)?
7
Let g(j) = 16 + 0*j + 3*j**2 + 2*j - 4*j + 2*j**2. What is the units digit of g(-6)?
8
Let i(s) = 2*s**2 - s - 1. Let x be i(2). Suppose -x*c + 49 = -1581. What is the tens digit of c?
2
Let t(y) = -2*y**2 - 8*y + 4. Suppose 0 = 2*b + 4 + 4. Let g be t(b). Suppose -g*h + 172 = -136. What is the tens digit of h?
7
Let f(u) be the first derivative of -79*u**2/2 + 200*u + 3. What is the hundreds digit of f(-8)?
8
Suppose 0 = 2*b + 3*b - 35. Let p = b - 70. Let x = -18 - p. What is the tens digit of x?
4
Let d(b) = -3*b**3 + 192*b**2 - 108*b - 103. What is the units digit of d(63)?
0
Let t = 1968 + -1137. Suppose t + 779 = 7*o. Suppose 2*g - 4*v - o = -0*v, -4*g = v - 424. What is the tens digit of g?
0
Let j = -14856 + 23718. What is the thousands digit of j?
8
Suppose 0 = -4*d + 23*n - 19*n + 5020, -n - 2507 = -2*d. What is the hundreds digit of d?
2
Suppose -166*y + 1607304 + 6655678 = 0. What is the tens digit of y?
7
Let u(r) = -20*r + 58. Let o(v) be the second derivative of -7*v**3/6 + 19*v**2/2 + 13*v. Let p(h) = 10*o(h) - 3*u(h). What is the units digit of p(-7)?
6
Suppose -223574 + 66305 = -21*u. What is the units digit of u?
9
Let v(l) = -3*l - l**3 + 22*l**2 - 6 - 6*l - 9*l**2. Let z be (-2 - 72/(-12))/(8/22). What is the hundreds digit of v(z)?
1
Let y = -385 + 682. Let t = y - 155. What is the hundreds digit of t?
1
Let f be (-4 + 3 - -1) + 4. Suppose v = -2*c - 109, 0*v - v = -f*c - 221. Let m = -40 - c. What is the units digit of m?
5
Let k = 13512 - -45787. What is the ten thousands digit of k?
5
Let p = 521 - -933. Suppose 2*q - p = -512. Suppose 5*i - 2*w + 0*w = q, -w = 5*i - 462. What is the tens digit of i?
9
Let w = 20285 - 7648. What is the te