
4
Suppose 12*u - 1185 = 9*u. Suppose 5*r + 20*k - 18*k = 2065, -r - 4*k = -u. What is the tens digit of r?
1
Let o(y) be the third derivative of y**6/120 - y**4/24 + 503*y**3/3 - 41*y**2. What is the units digit of o(0)?
6
Let c(m) = 4*m - 7. Let p(l) = -2*l - 1. Let f(i) = -c(i) - 3*p(i). Let j be f(-5). Suppose 25*h - 29*h + 196 = j. What is the units digit of h?
9
Suppose -g + 63 = 2*g. Suppose -g*f = -16*f + 15. What is the tens digit of 9/(27/186) + f?
5
Suppose n - 5*f + 22 = 0, -3*n + 2*f + 2 = 16. Let z(u) = -21*u**3 + u**2 + 2*u - 3. What is the units digit of z(n)?
5
Let z be (-8)/1 - 920/(-92). Let r(j) = 5*j**2 - 5*j + 3. Let n be r(3). Suppose -15 = -z*a - 2*h - 3*h, 0 = 3*a + 4*h - n. What is the tens digit of a?
1
Let z(p) = -3*p**2 + 52*p - 56. Let v(m) = 7*m**2 - 103*m + 112. Let i(r) = 2*v(r) + 5*z(r). What is the units digit of i(24)?
4
Let t be 3/6*-2*-5. Let a = 575 - 575. Suppose a = 4*f + 5*c - c - 220, -t*f + 3*c = -275. What is the tens digit of f?
5
Let t = 746 + -581. Suppose 0 = 3*m - 9, 3*m - 135 = 3*f + 186. Let k = t + f. What is the units digit of k?
1
Suppose 0 = a + b - 20, a + 4*b + 32 = 4*a. Let z = -12 + a. Suppose 5*v + 91 = z*f, 4*f = -f + 5*v + 110. What is the units digit of f?
9
Let c(u) = 104*u**2 - 17*u + 74. What is the ten thousands digit of c(16)?
2
Suppose -3*g + s = -77529, g - 10965 - 14878 = -4*s. What is the units digit of g?
3
Let d be (-9)/(-21) - (-25)/7. Let b be 2*(-4)/(-8)*(-1 + d). Suppose 0 = -i - i + 4, b*o + 2*i = 475. What is the hundreds digit of o?
1
Suppose 0 = -4799*y + 4796*y - 3*w + 39414, -26290 = -2*y - 4*w. What is the tens digit of y?
3
Let q(l) be the third derivative of l**7/144 + l**6/30 + l**5/5 + 17*l**2. Let n(r) be the third derivative of q(r). What is the units digit of n(4)?
4
Let d(y) = 321*y**3 - y**2 + 3*y - 3. Suppose 102*v - 10 = 92*v. What is the tens digit of d(v)?
2
Let l(r) = r**2 + 23*r + 25. Let x(g) = -6*g**2 + 4*g - 6. Let b be x(2). Let q be l(b). Suppose 384 = 19*y - q*y. What is the units digit of y?
4
Suppose 5*d = 2*p + 128191, 81*d - 2*p = 78*d + 76913. What is the units digit of d?
9
Let j(m) = m**2 + 12*m - 81. Let t be j(-17). Let a(x) = 25*x**2 + 3*x + 2. What is the units digit of a(t)?
4
Suppose 5*y + 15 = 0, -h + 0*h + 3*y + 14 = 0. Suppose -h*l + 2*t + 1148 = 0, -3*t = -2*t - 1. What is the hundreds digit of l?
2
Let o = 5662 + -5432. What is the units digit of o?
0
Suppose 40951 = -7*m + 160329. What is the units digit of m?
4
What is the tens digit of ((-656)/48 - -13)/((-14)/205107)?
6
Suppose 160*b - 62220 = 148*b. What is the units digit of b?
5
Let k = 2170 + -2138. What is the units digit of k?
2
Let s be (56/(-16))/((-1)/4). Let g(i) = -35*i**2 + 4*i + 19*i**2 + 17*i**2 - s. What is the units digit of g(8)?
2
Let l(i) = 2*i**2 - 13*i - 15. Suppose 104*f - 108*f = 44. What is the units digit of l(f)?
0
Let l(i) = i**2 - 2*i - 3. Let x be l(5). Let b(t) = x*t + 11*t**2 + t**3 - 10*t - 12*t - 18. What is the tens digit of b(-11)?
9
Let g(l) = l**3 - 9*l**2 - 9*l - 4. Let a be g(10). Suppose 42 = -4*x + f + a, 0 = f. What is the tens digit of (1 + -66)*x/15?
3
Suppose -i - 27 = -4*i. Let a be i/(-21) + (-216)/(-63). Suppose 0 = -a*s - w + 37 - 6, -w + 13 = s. What is the units digit of s?
9
Suppose 0 = 14*b + 2*b. Suppose -4*k - 5*j = -1989, b = 4*k + j + 860 - 2845. What is the units digit of k?
6
Let m = 8822 + -6643. What is the hundreds digit of m?
1
Let k(v) = v**3 + 14*v**2 + 20*v - 2. Let l be k(-12). Let q = l + -10. Let x = 128 - q. What is the tens digit of x?
9
Suppose -5*x + 22 = 2*d, 3*x + 55 = 3*d + 5*x. Suppose 39 = 6*r - d. Suppose -r*y = -y - 279. What is the units digit of y?
1
Suppose 16 - 37 = 7*s. What is the units digit of -5 + s + -1 + 802?
3
Let r be (1674/24)/(2/(-16)). Let i = -101 - r. Suppose -123 + i = 2*l. What is the units digit of l?
7
Let x be 3/5 - 1570/(-50). Suppose -x*z = -36*z + 1904. Suppose -5*u + 299 = -z. What is the units digit of u?
5
Suppose -472*x - 2*o = -473*x + 36873, -o + 147546 = 4*x. What is the units digit of x?
5
What is the thousands digit of 60492 + (-11 + 10)*-8 - -1?
0
Let l(z) = -8*z**2 + z + 373. Let q = 291 - 291. What is the units digit of l(q)?
3
Suppose 19*l = -4*j + 24*l + 78309, -3*j = -4*l - 58732. What is the thousands digit of j?
9
Let v(g) = g**2 - 3*g. Let o be v(0). Suppose o = -4*z - s + 90, 19*z - 14*z + s - 112 = 0. Suppose z = -7*y + 267. What is the tens digit of y?
3
Let v(x) = 2*x**2 + 35*x - 52. Let w be v(-19). What is the tens digit of w + 1164/(-18)*-3?
9
Suppose i = 2*f + f + 177, 4*f = -8. Let x = 414 + -411. Suppose u = x*c + i + 61, 4*u + 5*c - 962 = 0. What is the tens digit of u?
3
Suppose -6*x - 81 = -45. What is the tens digit of (438/(-4) - -1)*x?
5
Let t = -5488 + 15791. What is the units digit of t?
3
Let s(x) = 4*x**3 - 21*x**2 + 145*x - 24. What is the hundreds digit of s(11)?
3
Let b = -126966 + 199049. What is the units digit of b?
3
Let p(k) = -k**2 - 4*k + 22. Let d be p(12). Let o = 576 + d. What is the tens digit of o?
0
Let s(c) be the first derivative of 82*c**3/3 + c**2/2 + c - 1. Suppose 3*y = x - 1, 46*y - 41*y + 2*x + 9 = 0. What is the units digit of s(y)?
2
Suppose -3*l = -21*l + 11790. Suppose -y = -l + 118. What is the tens digit of y?
3
Let z be 78/21 + -4 - (-25086)/42. What is the hundreds digit of z - (-28)/(49/7)?
6
Suppose l - 9543 = -2*n, 14*n = -5*l + 10*n + 47721. What is the thousands digit of l?
9
Suppose 0 = 4*x + 202 - 710. What is the units digit of x - 0/(1/(-2)*2)?
7
Let d be (1*3)/(3 - (-2 - -4)). Let y be d/6 - 3/(-6)*139. Suppose 0 = 3*v - 4*j - 0*j - y, 0 = 4*v - 5*j - 93. What is the tens digit of v?
2
Let z(o) = 35*o**2 + 2*o + 6. Let n be (-1)/(-3) + (-3)/9*-35. Suppose 2*j + 0*j = 5*c + 1, 0 = -5*j - 2*c - n. What is the units digit of z(j)?
2
Let u = -93 + 3129. Suppose 0 = 4*d + 2*i - 6040, 13*d + 3*i + u = 15*d. What is the units digit of d?
2
What is the units digit of -13*(-24)/2340 + 4106/30?
7
Let i(t) = -t**3 + 17*t**2 + 87*t - 21. Let d be i(21). Let c = d + 1301. What is the thousands digit of c?
1
Let g(m) = 2*m**3 - 69*m**2 - 67*m - 393. What is the hundreds digit of g(43)?
1
Let o(s) = 234*s**2 - 2*s + 1. Suppose v = -a, -2 = -a - 4*a - 3*v. What is the hundreds digit of o(a)?
2
Let f(z) = 48*z - z**3 - 64*z + 0 + 20 + 16*z**2. Let g be f(15). Let m(q) = 10*q**2 - 7*q + 20. What is the tens digit of m(g)?
3
Suppose -f = 5*s - 43623, 3*f - 339*s + 333*s - 130827 = 0. What is the thousands digit of f?
3
Suppose 5*j + x = 82522, 101*j - 16510 = 100*j - 3*x. What is the units digit of j?
4
Suppose 0 = 261*j - 202*j - 226796. What is the hundreds digit of j?
8
Let g(z) = z**2 - 5*z + 9. Let h be g(2). Suppose -y = -h*k - 123, 0 = 5*k - 0*k - 5. What is the units digit of y?
6
Suppose -j + 2*g + 306 = 0, -5*j = 6*g - 4*g - 1482. Let k = 1017 - j. Suppose 2*i - 3*i = p - 243, -2*i = -3*p + k. What is the hundreds digit of p?
2
Let o = -21096 + 28965. What is the hundreds digit of o?
8
What is the hundreds digit of 4766 - ((-666)/(-99) - (-27)/99)?
7
Let d(t) = t**3 + 7*t**2 + 7*t - 9. Let p be d(-5). Let u be ((-98)/21 - -6)/(4/p). What is the units digit of -1 + 0 + -1*(-95 - u)?
6
Let q(p) = 21*p - 35. Let r = 240 - 228. What is the units digit of q(r)?
7
Let g(p) = p**2 + 14*p - 16. Let o be g(-14). Let m = -19 - o. What is the tens digit of (14/4 + m)*264?
3
Suppose 5*l = -30, -3*q + 43*l + 11304 = 25*l. What is the tens digit of q?
3
What is the hundreds digit of 36/21 - 2 - 526368/(-672)?
7
Let f = 16847 + -10681. What is the tens digit of f?
6
Suppose -4*a - 41186 = -5*i, 7*a + 8236 = i + 5*a. What is the hundreds digit of i?
2
Suppose -j + 12120 = n, -3*j + 5*n + 31726 = -4626. What is the units digit of j?
9
Let j be 13612/6 + 100/(-150). Suppose -14*m - j = -18*m. What is the units digit of m?
7
Let u be (0 - (1 + -1))/(-1). Suppose u = 4*j + j - 20. What is the tens digit of -6*j*(-5)/3?
4
Suppose 10448 = -3*b + 46273 + 20017. What is the hundreds digit of b?
6
Let b = 52 + -30. Suppose 10 = -5*a - 5*d, 0 = 2*a - 5*d - 2 - b. What is the units digit of a/(-1) + (7 - 7 - -12)?
0
Suppose -40 = 5*u, 1072*q - 1071*q = -u + 24563. What is the units digit of q?
1
Suppose 70*g - 1408