p + 7. Suppose 3 = 10*y - 67. Suppose 9*v + 4 = y*v. What is the units digit of x(v)?
5
Suppose 16713 = 54*a - 38367. What is the thousands digit of a?
1
Suppose -m + 2*v = -3952, 0 = -2*m - v + 4138 + 3801. What is the thousands digit of m?
3
Suppose -i - 2*s = -8542, 68*i - 71*i + 25650 = 2*s. What is the thousands digit of i?
8
Suppose 3*j - 7*j - 12 = 0, n - j - 226 = 0. Suppose -2*x - 2*f = -228, 0*x - n = -2*x - f. Suppose 6*d - x + 25 = 0. What is the tens digit of d?
1
Suppose 127*q - 4048357 = 2206774. What is the hundreds digit of q?
2
Let l(g) = -4*g + 22. Let n be l(8). What is the units digit of 220 - (12/n + (-7)/(-35))?
1
Let a be 4/(-10)*-5*59. Let k = 16485 - 16492. What is the tens digit of (a/(-4))/(k/56)?
3
Suppose -2*z + 7 = -5. Suppose -2*a + z*a = 28. Suppose -a*w = -3*w - 256. What is the tens digit of w?
6
Let v(o) = o**2 - 27*o + 98. Let l be v(25). Suppose -44*d + l*d = 4316. What is the tens digit of d?
7
Let g be 596/9 - (-114)/(-513). Suppose -1 = -u + 4*k, 0 = -2*u - 2*k + k + 11. Suppose -u*w + g = -64. What is the units digit of w?
6
Let o be (-5 - -3)*-137*(-22)/4. Let y = o + 2251. Suppose -4*l + 0*l + y = 0. What is the tens digit of l?
8
Suppose 193147 = 4*g - 3*b, -18 = -176*b + 170*b. What is the tens digit of g?
8
Let r(c) = -8*c + 6*c - 3*c**2 + c - 19 + c**3. What is the tens digit of r(6)?
8
Suppose 2*i + x + 4 = -3*x, 0 = 3*i - 4*x + 6. What is the units digit of (-2003)/(-7) + 9/126*i?
6
Suppose 0 = -152*a + 148*a + 65504. What is the ten thousands digit of a?
1
Let s = -72 + 115. Let l = 59 - s. Suppose -12*z + l*z - 620 = 0. What is the hundreds digit of z?
1
What is the tens digit of 370254/30 + 21/(-45) + (-2)/6?
4
Let o be 116/14 - (-8)/(-28). Let g(x) = -20 + 2*x**3 - 11*x + 0*x - 2*x**3 - x**3 - o*x**2. What is the units digit of g(-8)?
8
Suppose -346*r + 351*r - 2*o - 149169 = 0, -5*o = -r + 29843. What is the ten thousands digit of r?
2
Let h(l) be the second derivative of 19*l**5/20 - l**4/12 + l**3/2 - 3*l**2/2 - l - 413. Suppose 0*w - 4*w + 4 = 0. What is the tens digit of h(w)?
1
Let f(i) = -4*i - 96. Let a be f(-24). Suppose a = 54*y - 56*y + 832. What is the units digit of y?
6
What is the hundreds digit of (-12)/282 + 121993312/2632?
3
Suppose -h - 35*h = 123*h - 1001700. What is the tens digit of h?
0
Suppose -4*a = 3*s - 718, 0 = -5*s - 3*a + 2*a + 1174. Suppose -s - 224 = -2*l + 3*k, -4*l - 4*k = -956. What is the units digit of l?
5
Suppose 4*l = 12, 111*b + 5*l = 115*b - 53. What is the tens digit of b?
1
Suppose 0 = -2*o - 8, 3*n = -n - 3*o + 20220. Suppose -16*s + n = -10*s. What is the units digit of s?
3
Suppose 2267 = 6*v - 5875. Let z = v + -772. What is the hundreds digit of z?
5
Let n(b) = 2*b - 7. Let m = 4 + -12. Let t be n(m). Let l = t - -34. What is the tens digit of l?
1
Let s(u) = 300*u + 12. Let a(w) = -75*w - 3. Let o(p) = -21*a(p) - 5*s(p). Let q be ((-20)/(-16))/(15/12). What is the units digit of o(q)?
8
Suppose -374600 = -6*i - h, -3*i - 169*h + 187322 = -174*h. What is the ten thousands digit of i?
6
Let c(y) = -y + 78. Let m be c(0). Suppose 4*t = 4*q + 232, -217 = 69*t - 73*t + q. Let v = m - t. What is the tens digit of v?
2
Let c(l) = 110*l + 7. Let j be (-41 - -43) + (0 - -1). What is the tens digit of c(j)?
3
Suppose 3*m - 22581 = -5*k, -3*m + 0*k = -2*k - 22623. What is the units digit of m?
7
Let o = 17191 + -8208. What is the tens digit of o?
8
Let n be ((-70)/40)/((-1)/28). Let l = -37 + n. Suppose l = -3*v, 4*v - v + 368 = 4*g. What is the units digit of g?
9
Let j = 66852 + -46199. What is the tens digit of j?
5
What is the tens digit of (2/(-5))/((-39)/(-585)) + 6271?
6
Let y be 7/14*-6*827/(-3). Suppose 0 = 3*z - 205 - y. Suppose 7*w = 11*w - z. What is the units digit of w?
6
Let p be ((-16)/3)/(((-12)/(-9))/(-2)). Suppose 11*n - 10*n = p. Suppose 0 = -n*v + 7*v + 30. What is the tens digit of v?
3
Suppose 984 = -276*m + 280*m. Suppose -m = -5*f - y + 194, y + 176 = 2*f. What is the units digit of f?
8
Let h(c) be the second derivative of 1/20*c**5 - 14*c - 29/6*c**3 - 17/12*c**4 - 18*c**2 + 0. What is the tens digit of h(19)?
3
Let o be (-18)/(-225) + 369/75. What is the units digit of 4044/o + 54/270?
9
Suppose -5*s - 9*w + 4*w + 110185 = 0, 0 = 2*s - 4*w - 44044. What is the units digit of s?
2
Let m(t) = -17028*t + 2039. What is the tens digit of m(-3)?
2
Suppose -q + 608 = -2537. Suppose 17*o + q = 22*o. Suppose -5*i + 91 = -o. What is the units digit of i?
4
Suppose 20 = 2*c - 7*c. Suppose -3*s - f + 193 + 214 = 0, -3*s + 5*f = -413. What is the tens digit of 9/(-6)*s/c?
5
Let d = 41863 + -7779. What is the units digit of d?
4
Let b(m) = 57*m**2 - 40*m + 318. What is the thousands digit of b(8)?
3
Suppose -i + 23*z + 8277 = 20*z, z + 16549 = 2*i. What is the hundreds digit of i?
2
Suppose 4*a + 274 = 6*a. Suppose 45 + a = -13*d. Let k = d + 36. What is the tens digit of k?
2
Let x(q) be the first derivative of q**4/4 - 5*q**3/3 - 4*q**2 - 24*q + 46. What is the hundreds digit of x(9)?
2
Let l be 3/(-3 - -2) - (4 - 6). Let j be (106 - -4) + 2 - l. Suppose 0 = -3*q + 3*p + 363, -q - p + j = 2*p. What is the hundreds digit of q?
1
Suppose 3*j - t - 15454 = 0, -12*j = -7*j - 4*t - 25759. What is the thousands digit of j?
5
What is the hundreds digit of 60/18 + 85540/78?
1
Let v be ((-2)/(-1))/((-14)/(-21)). Suppose v*r = 20 - 2. Let g(p) = p**3 - 5*p**2 - 6*p + 2. What is the units digit of g(r)?
2
Let i = 6114 + -833. What is the tens digit of i?
8
Let y be 2*2/4 + 9*1. Let k be 384 - -6*(-5)/y. Suppose -k = -2*u - 53. What is the units digit of u?
4
Let x(c) = 6*c + 88*c**3 - 85*c**3 - 11*c**2 + 5*c**2. What is the tens digit of x(5)?
5
What is the units digit of 4 + 5 + -4 - (-13313 - (-9 - 0))?
9
Let d = 115358 + -61916. What is the ten thousands digit of d?
5
Let h be (-6)/(-5)*(-40)/(-12). Suppose -3*o + 61 = -h*o. What is the tens digit of 3*((-20)/(-12))/(-5)*o?
6
Suppose -2*x = -n - 7 + 14, -2*n = x + 11. What is the hundreds digit of (954/4 - -3)*(-4)/n?
3
Suppose 20*m - 6 = 74. Suppose d - 1447 = m*a, -a = 3*d - 5*a - 4333. What is the tens digit of d?
4
Suppose 207 = 4*q - 157. Let d = q + -88. Suppose 0 = -5*o + 4*v + 71 + 127, 0 = d*v - 9. What is the tens digit of o?
4
Let a = -69 + 120. Let o = 56 - a. Suppose -2*i = -2*r + 2*i + 182, -o*r = -i - 464. What is the tens digit of r?
9
Let x = 381 + -382. What is the units digit of (x + (-4)/(-6))*(-1728 + 84)?
8
Let j = 67 - 65. Let x(k) = -k + 4. Let v be x(j). Suppose 2*r = -4*b + 344, -v*b + 334 = 2*b - 3*r. What is the tens digit of b?
8
Let n = -86326 - -122866. What is the thousands digit of n?
6
Let y(x) = -496*x + 701. What is the tens digit of y(-14)?
4
Let y be ((-4)/3)/(1*(-8)/12). Suppose 3*i + n = 4, -i + 1 = y*n - 7. Suppose -4*c = -4*l + 39 + 69, i = -5*l - c + 159. What is the units digit of l?
1
Suppose 122*s + 70 = 132*s. Let o = 887 + -536. Suppose 2*c + s*c - o = 0. What is the tens digit of c?
3
Let t = -154 - -162. Suppose -t*d + 153 = -671. What is the tens digit of d?
0
Let f(l) = 11*l**3 - 10*l**2 + 48*l - 15. What is the hundreds digit of f(13)?
0
Suppose -12*i + 33 + 87 = 0. Suppose -i*a - 10 = -50. What is the units digit of (a + -6)*1*(-37)/2?
7
Let m(j) = 2*j**2 + 40*j + 3. Let t be m(-20). What is the hundreds digit of 657 + (9/t)/(-3)?
6
Suppose -2*k = 3*n - 0*n - 753, 5*k = -2*n + 1866. Suppose -2*i - 2*i = -k. Suppose 2*p - i = 149. What is the units digit of p?
1
Let d be (15 - (13 + -1))*101. Let f = -6 + 9. Suppose -f*x + d = 3*w, -4*w + 274 + 145 = -x. What is the units digit of w?
4
What is the ten thousands digit of 17021 + (16 - (-19 - -15))?
1
Suppose 78*d - 275322 + 45612 = 0. What is the hundreds digit of d?
9
Let z be (((-351)/(-18))/13)/((-1)/(-2)). Suppose z*o = 7*o - 2*k - 290, -5*o + 382 = 4*k. What is the units digit of o?
4
Let v = 28 - 35. Let y be v/((-84)/(-1808)) - 2/(-3). What is the units digit of y*(-4 + 70/25)?
0
Suppose -5*v + 3721 = -4*b - 6*v, 4*v - 2767 = 3*b. Let k = -636 - b. What is the hundreds digit of k?
2
What is the units digit of (-15)/(-20) + (-232836)/(-16) - (4 - 3)?
2
Suppose 2*k + 8949 = 3*t, 0*k + 3*k - 5979 = -2*t. Suppose -4*i - 4829 = 5*f - 1859, -t = 5*f + i. What is the units digit of f/(-10