0
Let n be 841/232 + 6/16. Suppose 0 = 4*u + t - 28 - 320, 5*u + n*t - 424 = 0. What is the units digit of u?
8
Suppose 0 = 4*m - 5*u - 16676, -m + 4*u + u = -4154. What is the tens digit of m?
7
Suppose -4*l = 3*u - 1253, 0 = -4*l - 0*l - 2*u + 1254. Let i(n) = 4*n + 3. Let o be i(3). Suppose o*y + l = 17*y. What is the tens digit of y?
5
Suppose -k = -4*k + k. Suppose k = -2*o + 3*u + 679, 4*o - u + 5*u = 1408. What is the tens digit of o?
4
Let j(x) be the first derivative of x**3/3 - x**2 - 19*x - 111. What is the units digit of j(7)?
6
Suppose -5*i + 560 = -1870. Suppose -i - 11043 = -9*y. Suppose -2*d = 5*d - y. What is the hundreds digit of d?
1
Let j(v) = -1663*v - 752. What is the ten thousands digit of j(-16)?
2
Let p = 33947 + -17741. What is the hundreds digit of p?
2
Suppose -6*m + m = 0. Let o = 2237 - 2234. Suppose o*h + m*h = 63. What is the units digit of h?
1
Let l = -10920 + 11123. Let n = -113 + 400. Let r = n - l. What is the tens digit of r?
8
Suppose 3*g - n = -2*n + 1226, 418 = g + 5*n. Let o be (-75)/125 + 115/25. Suppose 8*i - g = o*i. What is the hundreds digit of i?
1
Suppose -3*s = -3*d - 6, 2*d - 3 = 1. Let x be (s/6)/((-6)/27). What is the tens digit of 32 + ((-12)/x)/1?
3
Suppose 3*n + 32 = -5*n. What is the hundreds digit of n - ((-542 - -5) + 2) - 3?
5
Let t(c) = -613*c - 1245. What is the units digit of t(-8)?
9
Let g = -4920 - -6924. Suppose 2*j + 4*j + g = 0. Let i = -198 - j. What is the tens digit of i?
3
Let z be (18 - 13)*(2 + -1). Suppose -f - z*y - 1540 = -6*f, -3*y + 1500 = 5*f. Suppose -f + 1371 = 4*s. What is the tens digit of s?
6
Let f = -42 - -80. Let w = f - 32. Suppose 0 = 4*b + u - w*u - 399, -4*u = -20. What is the hundreds digit of b?
1
Suppose 1541 + 164 = 5*k. Let y = 660 - k. Let d = -191 + y. What is the units digit of d?
8
Suppose 0 = d - n - 27262, 81758 = -14*d + 17*d + 4*n. What is the thousands digit of d?
7
Let q(y) = y**3 - 3*y**2 + y + 3. Let n be q(0). Suppose -5*u = -n*a - 851 - 23, 3*u = -5*a + 538. What is the tens digit of u?
7
Let a = 137 - 232. Let t = a + 96. Suppose 4*o - t = 7. What is the units digit of o?
2
Let l be (1/2)/(7/11844). Let k = -271 + l. What is the tens digit of k?
7
Suppose 3*h = -5*g + 27666, -3*h - 702 = -4*g + 21447. What is the tens digit of g?
3
Suppose -3*q - q + 688 = 0. Let s(k) = 4*k**3 - 10*k**2 + 2*k - 2. Let l be s(4). Let z = q - l. What is the tens digit of z?
7
Let t = 296 - -300. Suppose u = 2*i - 19 - t, -309 = -i + u. What is the tens digit of i?
0
Let m be 8/(-124) - (-64)/31. Let h(u) be the first derivative of 37*u**3/3 + 2*u**2 - 9*u + 1. What is the units digit of h(m)?
7
Let v(p) = p**3 - p. Let a(i) = 3*i**2 - 1. Let w(k) = -a(k) + 4*v(k). What is the tens digit of w(3)?
7
Let j = -81 - -95. Suppose 5*x = 2*w - 13, 2*x = -6*w + 2*w + j. What is the units digit of 3 + 44 + 1 - w?
4
Suppose 92618 - 649334 = -51*c. What is the ten thousands digit of c?
1
Suppose -32*z + 107228 = -10*z. What is the tens digit of z?
7
Let j be ((-2)/(-7))/((-4)/(-84)). Let o be (-50)/(-30)*-9*j. What is the units digit of 1*o/4*(-14)/3?
5
Let j = -7702 + 16323. What is the thousands digit of j?
8
Suppose -t + 7*t = -25*t. Suppose t = -2*c + 3*k + 804, 4*c + 4*k - 170 - 1398 = 0. What is the tens digit of c?
9
Suppose 0 = 2*r + 2*r - 7417 - 17435. What is the hundreds digit of r?
2
Suppose -3*a + 212 + 196 = 0. Let b = -91 + a. Suppose 3*m = y - 19, 3*y - m - 4*m = b. What is the tens digit of y?
1
Let k(s) = -20*s**2 - 122*s - 6. Let n be k(-6). Let d(i) = i**3 + 4*i**2 + 14*i - 29. What is the tens digit of d(n)?
1
Suppose 2*o + 2 = -5*s, 3*o - 26 = s - 12. Suppose -o*t + 2300 = 3*c, 4*c + 4*t = 6*t + 3052. What is the hundreds digit of c?
7
Let h = 5012 + -1619. Suppose 5*j + 3*f - 4248 = 0, -3*f = -36*j + 32*j + h. What is the tens digit of j?
4
Suppose 10*y - 32 = 6*y. Suppose -2 + y = 3*r, 5*j + 4*r - 8 = 0. What is the tens digit of (28/16 - j)*8?
1
Let k(d) = 12*d**3 - 8*d**2 + 76*d - 82. What is the thousands digit of k(9)?
8
What is the tens digit of ((2220 + 1)/((-18)/24))/((-4)/6)?
4
Suppose 29949 = 10*h - 38431. What is the tens digit of h?
3
What is the thousands digit of (-306)/63 + 5 - 61401/(-21)?
2
Suppose 2*u + 4*c = 24, -2*u + 2*c + 48 = 2*u. Suppose 3*l + 5*s = 355, -10*s + 540 = 5*l - u*s. What is the tens digit of l?
1
Let o be (-3302)/(-143) - (-2)/(-22). Suppose -132 = 21*r - o*r. What is the units digit of r?
6
Let w = -129 + 122. Let z(n) = -n**2 - 17*n - 14. What is the tens digit of z(w)?
5
Suppose 22*u = 17*u + 10. Suppose -5*w = 4*c - 8*c + 40, 0 = 5*c - u*w - 50. What is the units digit of c?
0
Suppose a = x + 102, a - 502 = 4*x + x. Let k = x - -293. What is the hundreds digit of k?
1
Let t be 1/((-1)/5 - 364/(-1470)). Suppose 8*h = -t*h + 50547. What is the thousands digit of h?
1
Suppose -7*n + 8*n - 44930 = -9*n. What is the thousands digit of n?
4
Let u(b) = -73*b + 10512. What is the tens digit of u(143)?
7
Let s = -28566 + 40412. What is the hundreds digit of s?
8
Let h = 380 - 448. Let z(j) = j**2 + 7*j + 3. Let y be z(-7). Let a = y - h. What is the tens digit of a?
7
Suppose 5*f - 2*f = -28*s + 124489, -41424 = -f + s. What is the units digit of f?
1
What is the tens digit of 3611/(-115)*-5*(4 + 1)?
8
Let m(g) = -g**2 + 54*g + 1078. What is the hundreds digit of m(56)?
9
Suppose 4*m = -5*o + 263, 3*o + 3*m - 156 = -0*o. Suppose -o*r = -53*r - 1140. What is the units digit of r?
0
Suppose -4*r = -2*j + 22, -4*r - 22 = -5*j + 3. What is the units digit of 186/42 + r - (-627)/7?
9
Let u = -153184 + 216176. What is the thousands digit of u?
2
Let g be (-37)/(-3) - (-2)/(-6). Let f = -2449 + 3079. Suppose -g*k = -9*k - f. What is the tens digit of k?
1
Suppose 0 = -5*z + 4*q + 25, 3*q - 15 = -4*z + z. Suppose -z*g = 2*a + 30 + 11, -3*g - 17 = 5*a. Let i = g - -91. What is the units digit of i?
2
Suppose 15*x + 178 = 253. Let r = 414 - 238. Suppose 4*w + w = -3*q + r, x*q - 2*w - 314 = 0. What is the units digit of q?
2
Let g(v) = 129*v**2 - 24*v - 61. What is the hundreds digit of g(-3)?
1
Let n(r) = -876*r - 6 + 2*r**2 + 848*r - 5*r**2. Let v be n(-9). Suppose -v*u + 13 = 2*j + 3*j, -3*u - j + 5 = 0. What is the units digit of u?
1
Let m(n) be the first derivative of n**3/3 + 7*n**2 - 12*n + 46. Let r be m(-15). Let v(o) = 41*o + 4. What is the hundreds digit of v(r)?
1
Let l = 59119 - 40069. What is the units digit of l?
0
Let p = -1052 + 1778. Suppose 11*f - p = -0*f. What is the units digit of f?
6
Let w(r) = r**3 - 3*r**2 + r + 3. Let n be w(3). Let s(v) = v - 4. Let g be s(n). Suppose -g*l - 62 = -2*c, -25 + 4 = -c + 3*l. What is the tens digit of c?
3
Let n be 143/22 + (-2)/4. Suppose -n*j + 4*j = -1252. What is the units digit of j?
6
Let w = -318 + 323. Suppose 2*q - 387 - 3261 = -4*c, 5*c - 4530 = w*q. What is the units digit of c?
0
Let q(p) = -2*p**3 - 2*p**2 + 4*p + 2. Let a be q(-3). Let g = 25 - a. What is the tens digit of ((-10)/(-4))/(11/(-198))*g?
4
Let d(r) = r**3 - 16*r**2 + 2*r - 28. Let m be 2/6 - 47/(-3). Let z be d(m). Suppose 0 = -7*h + z*h + 78. What is the tens digit of h?
2
Let h = 4030 - -1132. What is the units digit of h?
2
Suppose l - 18 = w + 22, 0 = 3*w. What is the units digit of (-2 - -1)/(l/(-37320))?
3
Suppose 0 = 42*j - 45*j + 13482. What is the hundreds digit of j?
4
Let s(i) = 128*i**2 + 17*i - 4. What is the hundreds digit of s(-2)?
4
Let j = -8556 + 13972. What is the thousands digit of j?
5
Suppose -284208 = -8390*g + 8366*g. What is the units digit of g?
2
Suppose 7*q = -6*q - 117. What is the hundreds digit of 8/12*q + 620?
6
What is the thousands digit of ((-321)/(-4))/((-598)/(-188968))?
5
Let a be 6 - -3*(-18)/(-3). What is the units digit of (-29)/(a/(-180)*(-3)/(-2))?
5
Let j(i) = -266*i - 49. Let s be j(-14). Suppose -s = -5*n - c, 2*n + 2*n = -c + 2940. What is the hundreds digit of n?
7
Let u(l) = -7*l**2 + 9*l + 32. Let c(t) = 3*t**2 - 5*t - 16. Let y(s) = 5*c(s) + 2*u(s). What is the tens digit of y(-7)?
8
Let x = 28922 + -9527. What is the tens digit of x?
9
Suppose 14*j - 1305 = 94404 + 112807. What is the hundreds digit of j?
8
Suppose -3810526 + 379960 = -301*k - 32*k. What is the thousands digit of k?
0
Let i = 449 + -227. Suppose -i*d + 223*d - 11