 remainder when 909 is divided by a.
144
Let l(k) = -k**3 - 21*k**2 - 62*k - 13. Let t be l(-16). Let j = t + 327. What is the remainder when 94 is divided by j?
16
Let j(z) be the first derivative of z**3/3 - 4*z**2 - 34*z - 86. What is the remainder when j(-11) is divided by 45?
40
Suppose 10 + 11 = -21*q. Calculate the remainder when 238 - q*(-7 - -10) is divided by 115.
11
Suppose 2*y - 13616 = -5*o - 2*y, -o - 2*y = -2722. What is the remainder when (-2*(-94)/16)/((-11)/(-44)) is divided by 2/(-9) - o/(-108)?
22
Let x(d) = d**3 - d**2 + 3*d - 18. Let h be x(0). Let i = 28 + h. Suppose -i*s + 6*s = -248. What is the remainder when s is divided by 13?
10
Suppose -5*b + 2*c + 991 = 0, -4*b + 80*c = 84*c - 832. Calculate the remainder when b is divided by 130.
71
Suppose -3*b + 1040 = 2*b. Let y be -8 + -147*(-12 - 76/(-6)). Let s = y + b. What is the remainder when s is divided by 8?
6
Suppose 2*g - 1442 - 934 = -34*g. Calculate the remainder when 262 is divided by g.
64
Suppose -u + 2*b = 90 - 350, -5*u - 9*b + 1262 = 0. What is the remainder when u is divided by 110?
36
Suppose n = -y + 10, -28*n + 6*y + 105 = -23*n. Let c(w) = 29*w**3 - 1. Let v be c(1). What is the remainder when (35/v)/(1/44) is divided by n?
10
Suppose -u = -2*u - 4*g + 24, 0 = u + 2*g - 16. Let x(h) = 8*h - 41. What is the remainder when 85 is divided by x(u)?
16
Suppose 0*d - 889 = -3*d - f, 0 = 4*f + 20. Let c = 385 - d. Calculate the remainder when c is divided by 15.
12
Suppose -4661 = 14*q - 4857. What is the remainder when 3102 is divided by q?
8
Suppose 0 = 2*w - d - 38, -27*w = -28*w - 8*d + 53. Calculate the remainder when 50 + -1 + (1 - -2) is divided by w.
10
Let m(d) = 12 + 27*d + d**2 + 25 + 46 + 0*d**2. What is the remainder when m(-25) is divided by 13?
7
Let v(u) = 2*u**3 - 18*u**2 - 14*u + 9. Let x be v(10). Let k = x - 52. Let m(c) = 2*c**3 - 6*c**2 + 3*c + 4. What is the remainder when m(4) is divided by k?
14
Let h = -64 + 91. Calculate the remainder when h is divided by (-80)/(-400) + (-34)/(-5).
6
Suppose 0*z = z - 5. Let f(p) = 24. Let b(k) = -k + 1. Let r(x) = z*b(x) - f(x). What is the remainder when r(-13) is divided by 12?
10
Suppose 0 = -26*h - 919 + 5989. What is the remainder when 45 is divided by (-1)/(-3) - 5*(-143)/h?
1
Let d = 6 - 1. Suppose 7*y - 216 = -11*y. Calculate the remainder when 21 is divided by d/((-5)/(-3)) + y/4.
3
Let u(a) = 6*a**3 + 408*a**2 + 3*a + 254. Let q(o) = 798*o**2 + o. What is the remainder when q(-1) is divided by u(-68)?
47
Suppose -15*w + 1208 + 2107 = 0. Calculate the remainder when w is divided by 62.
35
Suppose 212 = -f + 5*f. What is the remainder when 446 is divided by (f/(-159))/((-1)/135*1)?
41
Let q = 2380 - 1819. What is the remainder when q is divided by 196?
169
Let k(r) = 11 + 5*r**2 - 11*r**2 + 9*r**2 - r. Suppose 56 = s + s. What is the remainder when k(5) is divided by s?
25
Suppose 3*p - 25 = 4*g, -g - p + 11 = -3*g. Let n = 2 - g. Let b(m) = -8*m**2 + 157*m + 234. What is the remainder when n is divided by b(21)?
0
Let o be 1/2*30/3. Suppose -4*l - 282 = -5*t, -o*t + 424 = -5*l + 144. Let g = 97 - t. Calculate the remainder when g is divided by 10.
9
Let o be -6 - 15*(-204)/18. Suppose -o = -3*w + 166. What is the remainder when w is divided by 37?
36
Let w = -77 - -84. Let a be 3/15 + (-1536)/(-20). Suppose -75*h - 20 = -a*h. Calculate the remainder when h is divided by w.
3
Let d(m) = 2*m**3 - 42*m**2 + 47*m - 2. Calculate the remainder when 315 is divided by d(20).
39
Let h = 2104 - 2063. Calculate the remainder when 108 is divided by h.
26
Suppose 6*b - 260 = b. Suppose p + b = 5*p. Calculate the remainder when (-27)/(-18) + 95/2 is divided by p.
10
Let s = -6391 + 6417. What is the remainder when 1453 is divided by s?
23
Let p = -94 + 48. Let k = -63 - p. Let q = 27 + k. What is the remainder when 24 is divided by q?
4
Let h = -481 + 495. Calculate the remainder when h is divided by ((-24)/9)/(2/(-6)).
6
Let d(j) = j**3 - 12*j**2 + 11*j + 22. Let y be (-1*5/15)/((-1)/(-3)). Let t be (-33)/9*3/y. Calculate the remainder when 61 is divided by d(t).
17
Let d(w) = -w**3 - 11*w**2 + 26*w + 15. Let g be d(-12). Let p = g + 165. What is the remainder when 97 is divided by p?
1
Suppose -185*f + 6638 = -5770 - 912. Calculate the remainder when 1653 is divided by f.
69
Let s be 3*(-4)/(60/(-25)). Let r(i) = i**2 + 3*i + 6. Let t(q) = q + 3. Calculate the remainder when r(s) is divided by t(9).
10
Let h(p) = 2*p - 2. Let s be h(8). What is the remainder when ((-327)/(-2))/3*8/4 is divided by s/(-98) + (-310)/(-14)?
21
Suppose 0 = -3*s - 4*y + 206 + 15, -3*s + 217 = 2*y. What is the remainder when 268 is divided by s?
55
Suppose -133*m + 122*m + 330*m = 1700589. Calculate the remainder when m is divided by 1332.
3
Let p(g) = -36*g + 1. Let k be p(3). Let s = k - -121. Calculate the remainder when s is divided by 5.
4
Let c(x) = 2*x**2 + 58*x - 79. Let p be c(-33). Let d = 238 - p. What is the remainder when 198 is divided by d?
39
Let o = 26653 - 26624. Calculate the remainder when 3430 is divided by o.
8
Let l be ((-48)/84)/(4/(-42)*3). Suppose -125 = -l*v - 79. What is the remainder when 134 is divided by v?
19
Let f(g) = -g**3 + 8*g**2 - 6*g + 2. What is the remainder when f(5) is divided by ((2 - (-5 + 13))*-4)/2?
11
Let g(d) be the third derivative of -d**6/120 - d**5/60 + d**4/6 + 5*d**3/2 - 2*d**2 - 146*d. Calculate the remainder when (-8)/(0 - 4/18) is divided by g(0).
6
Suppose 5*k + 25*h = 21*h + 5206, -3*k + 3121 = 5*h. Calculate the remainder when k is divided by 342.
16
Suppose 247 = -18*u + 23*u - h, -4*h = -5*u + 253. Calculate the remainder when 2738 is divided by u.
43
Suppose 3*b + 3*t = 1185, 54 - 854 = -2*b + 3*t. Let n = b + -389. Calculate the remainder when 3/1 - 65/(-1) is divided by n.
4
Let p(s) = 8*s**2 + 55*s - 22. Let u be p(-8). Suppose 9*m = 4*m + u. Calculate the remainder when 109 is divided by m.
9
Let j(s) = 2*s + 5. Suppose 4*p = -5*u + 4, 5*p + 0*u + 4*u - 5 = 0. Calculate the remainder when 628 is divided by j(p).
5
Calculate the remainder when ((-125)/(-20) - (-6)/(-24)) + 1435 is divided by 76.
73
Suppose -4168 + 2656 = -4*x - 24*x. Let g = -35 - -57. Calculate the remainder when x is divided by g.
10
Let x(k) = 9*k**2 + 5*k - 8. Let d be x(3). Let s = d + -106. Let j = s - -44. What is the remainder when 47 is divided by j?
21
Suppose -3*s - 355 = 2*s. Let c = 73 + s. Suppose 4*f - 42 = f - 5*w, 0 = -4*f + c*w + 82. What is the remainder when 36 is divided by f?
17
Let v(y) = 43*y**2 + 39*y - 79. Let s(r) = r**3 - 13*r**2 + 3*r - 10. What is the remainder when v(2) is divided by s(13)?
26
Suppose -312*b + 625*b - 16520 = 303*b. What is the remainder when b is divided by 12?
8
Suppose -228*k = -926 - 2494. What is the remainder when 449 is divided by k?
14
Let q(i) = 6*i - 33. Let d be q(6). Let j(m) = -3*m**2 + 2*m + 6. Let x be j(d). Calculate the remainder when 46 is divided by 1*-3*35/x.
4
Let s be (20/(-8) + 4)/(6/16). Suppose -7 = -2*l - 5*n + 6, l + 3*n - s = 0. What is the remainder when 55 is divided by l?
17
Let x = -29142 - -40665. Calculate the remainder when x is divided by 172.
171
Let m = -20 + 25. Suppose -m*p = -t - 80, -3*p = 3*t + 16 - 82. What is the remainder when 67 is divided by p?
16
Let b = 6442 - 5980. Suppose -43 = -3*c - 3*o + 5*o, 0 = 2*c + 4*o - 34. Calculate the remainder when b is divided by c.
12
Let q(m) = 2*m**2 - 100*m - 4657. Calculate the remainder when q(-35) is divided by 322.
5
Let m be 40/7 + 6/21. Let n be 1*24/(-8)*(-48 - -1). Suppose -m*q = -n - 9. Calculate the remainder when q is divided by 14.
11
Suppose 0 = v, 30 + 0 = -5*j + 2*v. Let w = 12 + j. Let x(g) = 8*g - 30. Calculate the remainder when 33 is divided by x(w).
15
Suppose -776 = -4*i - 2*j, 0 = -i - j + 5*j + 176. What is the remainder when 1141 is divided by i?
181
Let i = -1715 - -1737. Let h(w) = 3*w - 5. Let o(q) = q. Let l(k) = h(k) - 2*o(k). What is the remainder when i is divided by l(10)?
2
Suppose 8*g - 119 = -151. Calculate the remainder when 60 + (g - 0/6) + 2 is divided by 12.
10
Suppose -3 = -x, -4*x + 258 = g + 2*g. Suppose -4*m = -3*k - 78, 5*m + 3*k + k - g = 0. Let v = -1 + 8. Calculate the remainder when m is divided by v.
4
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