l + 2*i = -448. What is the units digit of l?
8
Suppose a = -3*t - 4, -12*a = -8*a + 3*t - 11. Suppose a*d - 1779 = -714. What is the units digit of d?
3
Suppose -35*p + 182293 + 87383 = -426719. What is the ten thousands digit of p?
1
Let f(p) = -94*p**3 + p**2 - 3*p - 3. Let d(z) = -z**2 - 11*z - 12. Let n be d(-10). Let u be f(n). Suppose 33 + u = 8*j. What is the units digit of j?
9
Let s(y) = 3*y**2 + 173*y - 231. What is the hundreds digit of s(38)?
6
Let v = -22 + 24. Suppose v*z - j + 4440 = -2*z, -3*z = 3*j + 3330. What is the units digit of 33/(-88) + z/(-16)?
9
Let n(u) = 3*u + 6. Let l be n(1). Suppose l*o = 6*o + 2199. What is the tens digit of o?
3
Suppose -2*t + 812 = -5*g, -3*t - 2*g + 124 = -1094. Let o = t + -294. What is the units digit of o?
2
Let c = 34 + -62. Let a = c + 87. What is the tens digit of a?
5
What is the tens digit of ((-11)/(66/(-284)))/((-4)/(-774))?
5
Let s(d) = -8 - d - 17 - 9 + 16. Let g be s(27). What is the tens digit of 4/(-18) - (4 + 1000/g)?
1
Let n be ((-160908)/(-8))/(-11)*2/(-3). Suppose -n - 6264 = -7*w. What is the tens digit of w?
6
What is the thousands digit of (78/(-91) - (-494)/(-273))/(4/(-42522))?
8
Suppose -6*j = -8 - 16. Suppose -9*s - 1027 = j*s. Let z = s + 90. What is the units digit of z?
1
Suppose 0 = 9*z + 4*z - 2028. Suppose -2*y + 2166 = z. What is the units digit of (40/(-50))/(1/(y/(-6)))?
4
Let z(y) = -y**3 + 6*y**2 - y - 9. Let m be z(6). Let c(b) = -3*b + 13. What is the tens digit of c(m)?
5
Suppose -10610 = -i + 5*v + 6786, -4*v = 4*i - 69560. What is the ten thousands digit of i?
1
Let q = -1432 + 353. Let j = -413 - q. What is the hundreds digit of j?
6
Let x(m) = 30*m**2 - 10*m - 281. What is the tens digit of x(19)?
5
Let h = 356 - 277. Let i = 271 + h. What is the hundreds digit of i?
3
Let s = 6565 - 4289. What is the hundreds digit of s?
2
Let k be (9/(-15) - -1)*10. Suppose 3*w + l + 835 = 6*l, 16 = -k*l. What is the units digit of -110*18/2*38/w?
2
Suppose -7565 + 333 = -2*n. What is the hundreds digit of n?
6
Let r = -293 - -293. Suppose r = 4*f - 1906 - 398. What is the tens digit of f?
7
What is the tens digit of (-102677)/(-3) + (456/(-3420))/(2/(-5))?
2
Suppose -304*z + 4221444 = -67*z. What is the hundreds digit of z?
8
Suppose 0 = -t + 47 - 41. Let i be (20 + -8 + t)*2/3. Suppose 2*h - i = -2*u + 116, 296 = 5*h - 3*u. What is the tens digit of h?
6
Let w = -95 - -42. Let u = w + 55. Suppose u*f = -5*o + 756, 759 = 5*o + 4*f - f. What is the tens digit of o?
5
Let o be -3 + (-20)/(-5) - -2. Suppose -o*z + 1512 = n, 5*z + 2*n - 1306 = 1214. What is the tens digit of z?
0
Let c(u) be the second derivative of u**3/3 + 16*u**2 - 23*u. Let n be c(-15). What is the units digit of n/(-1 + (-43)/(-41))?
1
Let z = -3719 + 9287. What is the thousands digit of z?
5
Let r = -65 + 81. Suppose -3*o - r = -2*o. Let f = o - -85. What is the units digit of f?
9
Let y(i) = -i**3 + 7*i**2 + 7*i + 5. Let n = 32 + -27. Let f be n*((-88)/(-20) + -3). What is the units digit of y(f)?
4
Let s be (18/(-5))/((-2)/(-5)). Let f(q) be the first derivative of -q**2 - 17*q + 24. What is the units digit of f(s)?
1
Let m = -6838 + 7067. What is the units digit of m?
9
Suppose 8*s - 48544 = 27687 - 13167. What is the units digit of s?
3
Let o be 5 - (9 - (-4)/(-3 - 1)). Let v(l) = -19*l + 37. What is the units digit of v(o)?
4
Let p(c) = 30*c**2 - 23*c - 177. What is the tens digit of p(-24)?
5
Let z = -665 + 665. Suppose 10 = 3*s - s. Suppose s*n - 249 = 3*o, z = -5*n + n - 2*o + 208. What is the units digit of n?
1
Suppose 0 = -p - 5, p - 32 = -4*i - 13. Suppose -6 = -2*a + 2*t, 0*t = -4*a - 5*t + 3. Suppose 0 = -2*z + a, c - i*c = 5*z - 215. What is the units digit of c?
2
Suppose -1715 = -3*s - u, 5*s + 2*u - 2856 = -2*u. Let o = s + 686. Suppose 11*n - o = -6*n. What is the units digit of n?
4
Let q(v) be the third derivative of -v**6/60 + 3*v**5/4 - 2*v**4/3 - 5*v**3/6 + 3*v**2 - 13. What is the hundreds digit of q(21)?
9
Suppose -8*k + 1021 = -555. Let f = 79 - 21. Suppose h + f = 4*u + k, 582 = 4*h - 3*u. What is the hundreds digit of h?
1
Let x(a) = 351*a**3 + 7*a**2 + 9*a - 16. What is the tens digit of x(4)?
9
Let z be -6*(2/(-10))/(4/(-130)). Let t be 4/(12/z)*(-2 - -6). Let c = 28 - t. What is the tens digit of c?
8
Suppose 4*z - q = q + 1376, -2*z - 5*q + 712 = 0. Suppose h - z = -2*p, 2061 = 5*h + 5*p + 326. What is the tens digit of h?
4
Let i(g) = 41*g**2 - 6*g + 6. Let l be 3 - 0/(-4 + 5). What is the hundreds digit of i(l)?
3
Let f = -6352 + 13419. What is the units digit of f?
7
Let q = 740 - 344. Suppose c + 792 = 4*l - 0*c, 0 = -2*l - 2*c + q. What is the tens digit of l?
9
Let o(f) = f**3 - 6*f**2 - 14*f + 20. Let g be -46*(-2)/12 + 10/30. Let i be o(g). Suppose i = 4*u + 4. What is the units digit of u?
8
Let s = -5145 + 13919. What is the thousands digit of s?
8
Let b be (-2 - 58/(-6))/(24/3024). Let j = b + -369. Suppose -5*v + 4*t = -1199, -4*v + 3*t + 362 + j = 0. What is the hundreds digit of v?
2
Suppose 2*l + 4*x - 46 = 0, -2 = -l - 5*x + 27. Suppose 14*s - 2*d + 1847 = l*s, 5*s = -4*d + 1849. What is the units digit of s?
9
Let m(s) = -s**3 - 96*s**2 + 133*s - 145. What is the hundreds digit of m(-99)?
0
Let p be 2/10*(23 - -2572). Suppose 521*v - p*v = 378. What is the units digit of v?
9
Let l be ((-7)/(-4) - 1)*(-8)/(-3). Suppose m + l + 3 = 0, -2*g - m + 13 = 0. What is the units digit of -23*(-30)/g - (-1)/3?
7
Let s(o) be the second derivative of -19*o**5/20 - o**4/4 + 9*o**2/2 - 37*o. What is the hundreds digit of s(-3)?
4
Let u be (-8 - -8)/(-4 - 0/(-4)). Suppose u = -5*p + 2968 + 232. What is the units digit of p?
0
Suppose 0 = 3*f - l - 4862 - 33454, 4*f = -2*l + 51108. What is the thousands digit of f?
2
Let p = -123 + 122. Let j(v) = 358*v**2 - 2. What is the tens digit of j(p)?
5
Let g(q) be the third derivative of 11/60*q**5 + 0 + 0*q - 1/4*q**4 - 24*q**2 + 1/120*q**6 + 17/6*q**3. What is the units digit of g(-11)?
3
Let f = -104 - -74. Let x = f + 24. What is the tens digit of (459/x)/((-8)/16)?
5
Suppose 898*b + c + 81802 = 900*b, 3*b - 122694 = -3*c. What is the thousands digit of b?
0
What is the thousands digit of (-78)/507 + (-564891)/(-13)?
3
Let v = 1532 - 1524. Suppose -5*a = 18 + 2. What is the units digit of a/v*6 - -6?
3
What is the units digit of 2/(8/(-42))*((-107156)/42 - -6)?
6
Let y(a) = -4*a**2 - 5*a - 2. Let m be y(-1). What is the tens digit of ((-2173)/212)/(m/48)?
9
Let w = -17 + 20. Suppose f - 5*b - 10 = 0, -w*f - 3*b = -13 + 1. Suppose 5*x = 3*l + 694, -x - f*l + 28 = -122. What is the units digit of x?
0
Let h(q) = -157*q + 51. Let p be (4 - (-54)/(-12))*22. What is the thousands digit of h(p)?
1
Let y(n) = -7*n - 18*n + 29*n. Suppose 24 = 6*c - 2*c. What is the units digit of y(c)?
4
Let i(h) be the third derivative of -h**4/12 - 5*h**3/6 + 28*h**2. Let o be i(0). Let y(c) = -21*c + 24. What is the hundreds digit of y(o)?
1
Let s(n) = -1. Let x(q) = -8*q. Let l(g) = 5*s(g) + x(g). Let y be l(6). Let a = -6 - y. What is the tens digit of a?
4
Let h = 259 + -260. What is the tens digit of (-190)/(-15)*(6 + (h - 2))?
3
Suppose 6*y = 8*y - 2*u - 47524, 2*u = -2*y + 47548. What is the units digit of y?
8
What is the tens digit of ((-386736)/(-576)*40)/((-2)/(-3))?
8
Let l = -6 + 11. Let f be (44/(-20) + 2)/((-6)/90). Suppose -l*o = -r - 4 + 3, -f*r + 53 = -o. What is the tens digit of r?
1
Let c(h) be the second derivative of -h**4/12 - 10*h**3/3 + 6*h**2 - 29*h. Let u be c(-18). What is the units digit of (u/20 - 2)*(0 - -150)?
0
Suppose -p + 19 = -2*x, p - 3*x - 11 = 13. Let s be 4/6 + (12/p)/(-2). Suppose 5*f - 288 - 442 = s. What is the units digit of f?
6
Suppose -330694 - 370996 = -110*o. What is the thousands digit of o?
6
Let y = -15572 + 26987. What is the hundreds digit of y*9/189 + 4/(-7)?
5
Let b = -10630 + 22851. What is the tens digit of b?
2
Let z be 12/30 + (-54)/(-15). Let w(v) = 43*v**3 - 8*v**2 - 1. Let a be w(2). Suppose -2*o - o + 3*k = -318, 3*o = -z*k + a. What is the tens digit of o?
0
What is the units digit of (1 - (0 - -8))*(-54)/63 - -37?
3
Let t = -62827 + 122785. What is the units digit of t?
8
Suppose 18 = 4*x - 6. Suppose 14*t - 8900 + 1410 = 0. Suppose h = x*h - t. What is the units di