333. Suppose v*b + 1968 = 48*b. What is the units digit of b?
4
Suppose 5*k + 40 = -35. What is the units digit of (-12)/90 - 6542/k?
6
Let h(k) be the third derivative of 5*k**4/8 + 17*k**3 - 6*k**2 - 1. What is the tens digit of h(14)?
1
Suppose 0 = -138*o + 130635 + 354987. What is the tens digit of o?
1
Suppose 820 = -3*g - 4*l, l + 669 + 148 = -3*g. Let w = g + 496. What is the units digit of w?
4
Let r = -2231 + 3237. Suppose r - 98 = 2*o. What is the hundreds digit of o?
4
Let i(c) be the third derivative of 0*c + 0 + 11*c**2 + 19/6*c**3 + 1/24*c**4. What is the tens digit of i(6)?
2
Suppose -5*i = 4*l - 22633, -185*l + i - 28265 = -190*l. What is the thousands digit of l?
5
Suppose 36*a = 229803 + 97077. What is the thousands digit of a?
9
Suppose -3*s + n + 17140 = 0, 4*s + 801*n - 22840 = 799*n. What is the hundreds digit of s?
7
Let b = 65 + -63. Suppose -1113 = -5*i + s, -i + b*s + 49 + 179 = 0. What is the units digit of i?
2
Suppose -5*o = -3*z + 139 + 160, 4*o + 252 = -4*z. What is the tens digit of (61/o)/(106/108 - 1)?
5
Let t(j) = 21*j - 33. Let r(v) = -4*v + 48. Let a be r(10). Let m be t(a). Suppose 4*h + 4*i - m + 31 = 0, 3*h - 60 = 3*i. What is the units digit of h?
3
Let u = 6348 - 4017. What is the thousands digit of u?
2
Suppose 4*v - 4*u + 36 = 0, u + 0*u = 5. Let g(p) = 33*p + 13. Let m(d) = d + 1. Let o(l) = v*m(l) + g(l). What is the tens digit of o(3)?
9
Suppose -5*r = 4*l - 41831, -168*r + 173*r + 3*l = 41837. What is the tens digit of r?
7
Suppose 14 = 5*w + 4. Suppose 3*x - 2 = 4*z, -w*z = -4*x + 1 + 5. Suppose 0 = 5*p - 0*p - 2*u - 418, -x = -2*u. What is the units digit of p?
4
Let k(c) = c**3 - 12*c**2 + 10*c + 11. Let j be k(11). Suppose 26*v - 13*v - 12428 = j. What is the tens digit of v?
5
Suppose 5*c - 3*v - 27353 = 0, -240*c + 235*c + 27385 = 5*v. What is the thousands digit of c?
5
Let c = -50 + 47. Let a be ((-786)/(-9))/(c + 22/6). Suppose h + 53 = a. What is the tens digit of h?
7
Let m = 31846 + -8760. What is the hundreds digit of m?
0
Let j = 5 - 3. Suppose 3*x - g - 7 = g, j*x + g - 14 = 0. Suppose -45 = -x*p - 0*p. What is the units digit of p?
9
Suppose -65 = -5*q - 2*s, 6*s = s + 25. Suppose q = v + 3*z, 3*v - 18 = -5*z + z. Suppose 83 + 221 = v*a. What is the tens digit of a?
5
Let r = 771 - -1269. What is the tens digit of r?
4
Let w(z) = -28*z + 115. Let d be w(4). Suppose -744 = d*r - 1515. What is the units digit of r?
7
Let p be 2 + (-1 - 26 - 3). What is the units digit of 30002/49 + 8/p?
2
Let b(j) = j**3 + 10*j**2 + 11*j + 20. Let a be b(-9). Suppose a*u = 1 + 11. Suppose -33 + 597 = u*s. What is the units digit of s?
4
Let t be -2 + -1 - (-2 + 0) - -3. Suppose 6 = -3*h, 5*z + t*h + 3*h = 545. What is the hundreds digit of z?
1
Let k be (12 + -9)*(1 + 0). Suppose 0 = -2*i + 3*q + 23, -i - 1 - 10 = k*q. Suppose 496 = 4*m - m + 2*s, -s = i*m - 668. What is the hundreds digit of m?
1
Let z = -12101 + 23860. What is the units digit of z?
9
Let f be 0 + (0 - 1)*-6. Suppose -3*r - 272 = -5*k, 2*k + 9*r - 113 = f*r. What is the tens digit of k?
5
Let k(t) = -t**2 + 5*t - 6. Let m be k(3). Let h be m/(4/(-4)) + -3. What is the units digit of (-2)/(h + (-20)/(-8))?
4
Let f be (-8)/(-36) + (-7)/(63/(-2482)). Let u = f + -1. What is the units digit of u?
5
Suppose 4*f - f - 5*t - 58 = 0, -t = -1. Let y = 29 - f. What is the tens digit of (-3)/y*106*(-16)/6?
0
Suppose -3*d - 3*m + 9 = -45, d - 12 = -4*m. Suppose 0 = -8*t + d - 4. What is the units digit of 1 + (t - -98)*1?
1
Let i(c) = -6*c**3 - 4*c**2 + 7*c - 2. Let z be i(2). Suppose 0 = 48*u - 51*u + 366. Let v = u + z. What is the units digit of v?
0
What is the units digit of 13154*-21*(-10)/105?
8
Suppose -4*v = -5*d - 37223, 19*d = 4*v + 21*d - 37202. What is the thousands digit of v?
9
Let m(v) = 2214*v - 2219*v + 247 - v**3 + 1334. What is the thousands digit of m(0)?
1
What is the tens digit of (4 - (-8 - 510/(-40)))/(1/(-23704))?
7
Let a(g) = -9912*g**3 - 24*g - 24. What is the units digit of a(-1)?
2
Let i be 6/(-36) + (-14348)/24 + -1. Let d = 634 + i. What is the tens digit of d?
3
Let p = -245 - -284. Suppose 0 = 40*v - p*v - 323. What is the tens digit of v?
2
Let o(u) = -u**2 - 9*u - 17. Let p be o(-4). Suppose 0 = -p*h - h + 1400. What is the tens digit of h?
5
Let u be (-1)/((-1)/5)*(-5424)/(-30). Suppose -2*c - 5*t + u = 0, -4 = t - 0*t. What is the tens digit of c?
6
Let y = 31 + -28. Suppose -10876 = -5*u - j + 2549, 0 = 3*u - 3*j - 8055. Suppose -18*m + y*m = -u. What is the hundreds digit of m?
1
Let o(i) = 8*i - 101. Let j(p) = -7*p + 102. Let f(b) = 7*j(b) + 6*o(b). Let a be f(0). Let q = a + -53. What is the units digit of q?
5
Suppose -5*i + 7500 - 3756 = -5866. What is the hundreds digit of i?
9
Suppose -4*h + 690 = -3*h + 2*b, 0 = b + 2. Let z = -263 + h. What is the tens digit of z?
3
Let l(n) = 17*n**2 + 13*n + 29. Let t be l(-6). Let p = 887 - t. What is the hundreds digit of p?
3
Suppose -235366 = -24*a + 401954. What is the ten thousands digit of a?
2
Let r(x) be the second derivative of x**5/20 + 31*x**4/12 + 25*x**3/6 + 3*x**2/2 - 129*x. What is the tens digit of r(-30)?
5
Let c = 3139 - -1387. What is the thousands digit of c?
4
Let b be 15/60 - (-19)/4. Suppose -b*w + 23 - 13 = 0. Suppose 0 = w*z + 5*z - 1302. What is the units digit of z?
6
Let m = 38 + 8. Let s(i) = -i**3 + 8*i**2 + 18*i + 4. Let v be s(10). Let o = m - v. What is the units digit of o?
2
Let x(b) = 296*b + 740. What is the units digit of x(49)?
4
Let w(g) = -108*g + 29. Let z(u) = -6*u + 22. Let n be z(4). What is the units digit of w(n)?
5
Let h(r) = r + 1102*r**2 - r**3 - 1102*r**2 + 534. What is the tens digit of h(0)?
3
Let s(y) = -y**3 + 9*y**2 + 9*y + 11. Let m = -2 - -12. Let d be s(m). Let h(f) = 35*f**2 + 4*f - 2. What is the units digit of h(d)?
7
Let l = 361 + 608. Let y = l - 313. What is the tens digit of y?
5
What is the tens digit of (1/1 - -17955)/(((-12)/3)/(-2))?
7
Let g be (-79 - -1) + 72/12. Let a = g - -89. What is the tens digit of a?
1
Suppose 0 = -2*h + 5*r + 55717, -5*h - 5*r = -103371 - 35904. Suppose h = 25*x + 2881. What is the hundreds digit of x?
9
Suppose 0 = 48*j + 74*j - 2549473 + 233547. What is the ten thousands digit of j?
1
Let q(i) = i + 1. Let u be q(6). Suppose 0 = 3*a - 4*l + 35, 92*l - 90*l - 10 = 0. What is the tens digit of 120*(21/u + a/2)?
6
Let p(c) = 1950*c + 3025. What is the tens digit of p(8)?
2
Let d = 77 - 65. What is the hundreds digit of ((-422)/(-4) - 0) + 6/d?
1
Suppose 0 = 60*l - 195160 - 175640. What is the tens digit of l?
8
Suppose 15*n + 63689 = -5*n + 186129. What is the tens digit of n?
2
Let y(r) = 8*r**2 + 44*r - 127. What is the tens digit of y(17)?
3
Suppose 1179 = r - w, 2*r - 301 = 4*w + 2051. Let s = r - 813. What is the units digit of s?
9
Let u(t) = 2*t**2 - 53*t - 22. Let z be u(27). Suppose 2*k + 92 = 3*o, 0 = z*o - 4*k + 2*k - 160. What is the units digit of o?
4
Suppose -151*y - 158*y = -326*y + 327250. What is the thousands digit of y?
9
Let z(u) = u - 4. Let n be z(9). Suppose 20 = -n*g, 4*t - g + 4 = -5*g. Suppose -d + 2*s + t*s = -59, -d + 2*s = -50. What is the units digit of d?
4
Let i = -38 + 38. Suppose 12*h - 5*h - 28 = i. Suppose -79 = -h*p + 177. What is the tens digit of p?
6
Suppose -3*o - 6 = -7*o + f, 5*f - 8 = o. Suppose 3*w + 0*w = 3*v + 1074, o*w = -5*v + 716. What is the units digit of w?
8
Suppose 0 = -3*i - s + 191066, 4*s = -2*i + 69083 + 58311. What is the hundreds digit of i?
6
Suppose -3553 = -3*i - 5*p, -i - 17*p + 21*p = -1156. What is the tens digit of i?
7
Let s be 9776/(24/6)*4. Suppose -19*p + 3*p + s = 0. What is the units digit of p?
1
Let v(s) = -1 - s**3 - 6 + 13*s + 5*s + 6*s**2 - 11*s. Let g be v(7). What is the tens digit of (3 - -1) + g - (-117 + -2)?
1
Let l = 92 + -81. Suppose k = 17 - l. Suppose -2*p = 5*o - 350, -7*p = -k*p - 5*o - 145. What is the units digit of p?
5
Let r(o) = o**2 - 4*o. Let s be r(3). Let w be 0 + s + ((-24)/6 - 55). Let n = 74 + w. What is the tens digit of n?
1
Let n(m) = -420*m + 28. Let q be n(-2). Let t = -582 + q. What is the tens digit of t?
8
Let c(j) = 2*j - 32. Let w be c(17). Let q be 20*(-60 + w)/(-2). Suppose 3*f + q = 8*f + 2*l, -128 = -f + 2*l. What is the units digit of f?
8
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