
Let t(c) = -c**2 + 16*c - 4. Suppose -9*y + 8*y + 3*a = -100, -2*a + 466 = 5*y. Let f = 103 - y. Calculate the remainder when t(f) is divided by 23.
13
Suppose 69*j - 45116 - 112549 = 0. Calculate the remainder when j is divided by 22.
19
Let s be 9/((-27)/6)*82. Let q = s + 444. What is the remainder when q is divided by 72?
64
Let a(l) = 64*l**3 + 3*l**2 - 2*l. Let q = 21 + -19. Let o be a(q). Suppose -2*b + o = 3*b. Calculate the remainder when b is divided by 35.
34
Suppose 3*r + 14*r - 306 = 0. Suppose r*u = 29*u - 209. Calculate the remainder when 4/18 - 3822/(-54) is divided by u.
14
Suppose 2*t + 3*x = -20 + 5, x = -1. Let i be 8/(-5) - t/10. What is the remainder when (6 - -5 - -2)*(-1)/i is divided by 8?
5
Suppose -19*p + 8*p = 0. Suppose p = 3*u + 19 - 85. Calculate the remainder when 0 - (4 + 1*-45) is divided by u.
19
Suppose 15*m - 8*m - 116039 = -70*m. Calculate the remainder when m is divided by 492.
31
Suppose -4*r = m - 163, -7*r = -4*r + 18. What is the remainder when 201 is divided by m?
14
Let a(n) = -12*n - 29. Let m be a(-13). Suppose 4*s = k - 37, -4*s + m = 2*k + k. Calculate the remainder when 201 is divided by k.
37
Calculate the remainder when (24/(-30))/(9 + (-13414)/1490) is divided by 3.
1
Suppose -54*j + 1401 + 23979 = 0. What is the remainder when j is divided by 43?
40
What is the remainder when 5919 is divided by (-460)/(41 - 18) - -161?
138
Let b = 57174 - 57150. Let c(d) = 36*d - 1. What is the remainder when c(2) is divided by b?
23
Let v = 8 - -12. Suppose 34*l - 2855 - 12139 = -204*l. What is the remainder when l is divided by v?
3
Suppose -29 = -4*s + 35. Let u(k) = -2*k**3 + k**2 - k - 1. Let m be u(-1). Suppose 245 = m*c + 116. Calculate the remainder when c is divided by s.
11
Let r be -5 + 52 - (-1 - -3). Suppose 0 = -3*q + 5*h - 2*h + r, -5*q + 4*h + 79 = 0. What is the remainder when 74 is divided by q?
17
Suppose 4*y + 39 = 5*d, 3*d + 0*y - 13 = 5*y. Suppose d = -5*i + 341. Suppose -276 = -6*o - i. What is the remainder when 103 is divided by o?
33
Let g = 117 - -31. Suppose u - 126 = 6*m - 239, 90 = 5*m - 5*u. What is the remainder when g is divided by m?
15
Let x(r) = -58*r**3 + 2*r**2 + 2*r + 1. Suppose -43*l + 665 = 90*l - 5985. What is the remainder when x(-1) is divided by l?
9
Let t = -112 + 713. Let f = t + -474. Calculate the remainder when f is divided by 45.
37
Let p(n) = 7*n**3 + 1. Let y be p(-1). Suppose -325 - 613 = 9*g + 5*g. What is the remainder when 3/y*2*g is divided by 34?
33
Let z = -357 - -121. Let a = 634 + z. Calculate the remainder when a is divided by 3.
2
Let l(w) = -1583*w**3 + w + w**2 + 1585*w**3 - 2*w**2. Let m be l(2). Suppose -11 = -5*h + m, -4*o = -4*h - 64. What is the remainder when 250 is divided by o?
19
Suppose 4*f - 4*i - 25188 = 0, -5*f + 30856 + 645 = 3*i. What is the remainder when f is divided by 14?
13
Let l = -97 - -97. Suppose -f - 3*o + 33 = l, 3*f = -2*o - 3*o + 99. What is the remainder when f is divided by 22?
11
Suppose -282 = -2*z - 2*a, -4*a - 524 = 2*z - 6*z. Let g = z + -132. What is the remainder when 18 is divided by g?
2
Let y = 123 - 117. Let n(w) = 21 - 3 + 5*w**2 + w**3 + 10*w**2. What is the remainder when n(-15) is divided by y?
0
Let s = 3839 + -3147. Calculate the remainder when s is divided by 181.
149
Suppose -596 = -88*d + 84*d. Let s(b) = 2*b**2 + 4*b + 2. Suppose -3*z = -7*z + 16. Calculate the remainder when d is divided by s(z).
49
Suppose 87 = y - 57. Suppose -5*b + y = -3*i, -b - 4*i + 18 = 3. Let l = 62 - b. What is the remainder when l is divided by 12?
11
Suppose 11*w + 287 - 45 = 0. Let o be (-3)/(6/w) + 3. Suppose 0 = -8*d + o*d - 132. Calculate the remainder when 59 is divided by d.
15
Let z = 7807 + -7721. What is the remainder when (-253)/((-6)/(-2) + -4) is divided by z?
81
Suppose -3*w - 5*f + 58 = 0, 5*f + 20 = 45. Suppose j + 4 = h - 21, -25 = -5*j. What is the remainder when h is divided by w?
8
Suppose -63 = 5*x + 2. Let t(h) = h**3 + 13*h**2 - 2*h + 7. Calculate the remainder when 96 is divided by t(x).
30
Suppose -31*t + 695 = -26*t. Suppose 43 = s - 4*r + 5*r, r = -5*s + 207. Let i = 61 - s. Calculate the remainder when t is divided by i.
19
Let k(t) = t**3 - 2*t**2 + 9*t - 23. Let l be k(2). Let n(a) = a**3 + 7*a**2 + 2*a - 6. What is the remainder when 126 is divided by n(l)?
24
Let d(t) = -t**3 + 5*t**2 + 55*t - 251. Calculate the remainder when 3352 is divided by d(6).
41
Suppose -5*b = 5*m - 25, 2*b - 5 = 5*m - 16. Let i be 1/(b/8 - 0). What is the remainder when 179 is divided by (9/(-15) - i/(-40))*-60?
29
Let x = 165 - 162. Suppose -4*i = -x*u - 592, 2*i + u - 296 = -0*i. Calculate the remainder when i is divided by 72.
4
Suppose -13*w - 15 = 4*l - 18*w, 2*w - 14 = 0. Calculate the remainder when 1033 is divided by l.
3
Let v = 103 + -99. Suppose 2*d + 0 = -v, 27 = 5*h - d. Suppose -2*n + 0*n + 79 = -h*c, -n + 2*c + 38 = 0. Calculate the remainder when n is divided by 10.
2
Suppose 5*u = v + 30589, -24*u + 26*u = 2*v + 12242. Calculate the remainder when u is divided by 13.
7
Suppose 0 = 32*n - 33*n + 3. Let j be 2/n - (-70)/21. Suppose -2*d + 194 = j*o, -o + 3*d + 150 = 2*o. What is the remainder when o is divided by 17?
15
Suppose -p + 484 = 10*p. Suppose -p*w = -48*w + 856. What is the remainder when w is divided by 55?
49
Let m(o) be the third derivative of o**6/120 - o**4/12 + o**3/6 + o**2. Let t be m(2). Calculate the remainder when 20 is divided by t/(20/(-4)) + 4.
2
Suppose 30 = f + m, 4*m = -5*f + 153 + 1. Suppose -2*n - 2*n - 44 = 4*a, 2*n = 2*a + f. Let j(o) = -3*o - 31. Calculate the remainder when j(a) is divided by 3.
2
Let d = -17107 - -17197. What is the remainder when 30149 is divided by d?
89
Let q = -23462 + 29854. What is the remainder when q is divided by 13?
9
Let f be -4*(21/(-4))/3. Let b(p) be the second derivative of p**3 + 9*p**2/2 - 952*p. What is the remainder when b(f) is divided by 13?
12
Suppose 5*d - 51 = -1. Let k(x) = -x**3 - 4*x**2 - 4*x - 16. Let l be k(-4). What is the remainder when d is divided by (l - -1) + 9 + (-13 - -10)?
3
Suppose 4*k - 1490 = -3*u, 873 = 3*u - 5*k - 572. What is the remainder when 1964 is divided by u?
4
Suppose 104*t + 48*t - 9780 = 20924. What is the remainder when t is divided by 72?
58
Let i(x) = -2*x**3 + 14*x + 18. Calculate the remainder when i(-11) is divided by 55.
51
Let b(z) = -133*z - 5711. What is the remainder when 3574 is divided by b(-43)?
6
Suppose 3*q = -0*q + 9. Suppose 2 = 4*l + u - 10, 0 = 4*l - q*u + 4. What is the remainder when 9 is divided by (-6 - -9) + (l - 1)?
1
Let u(h) = 2*h**3 - 3*h + 2. Let w(r) = -5*r + 14. Let y be w(2). Calculate the remainder when u(y) is divided by 18.
10
Let j be (1 + -3)*2/(-2). Suppose -3*a + j = 17, -4*z + 38 = -2*a. Let c(q) = -q + 6. What is the remainder when c(-33) is divided by z?
4
Let l be -1 + (-5)/5 + 8 + -1. Suppose -4*m = -5*m, -l*n + 5*m = 95. Let s = n + 44. What is the remainder when 71 is divided by s?
21
Suppose -13 = 4*b - r - 175, 88 = 2*b - 4*r. Suppose 0 = -13*y + 324 - 90. What is the remainder when 351/6*-9*(-4)/y is divided by b?
37
Let j(m) = 78*m**2 + 687*m + 689. Calculate the remainder when 3513 is divided by j(-1).
73
Let z(h) = 371*h + 2680. Suppose 4*n = -n + 80. What is the remainder when z(-7) is divided by n?
3
Suppose -18 = -2*l + 8*l. Let u be -4 + -5*(l + 0). Calculate the remainder when 4 + u + 1 + 1 is divided by 5.
2
Suppose 164*a - 169*a + 313 = 3*q, -3*a - 5*q = -175. Suppose 2*s - 17 = 21. What is the remainder when a is divided by s?
8
Let j(i) = i + 11. Let n = 92 + -92. Let f be j(n). What is the remainder when 45 is divided by ((-1)/(-3))/((-1)/9) + f?
5
Let j = -1903 + 2732. What is the remainder when j is divided by 49?
45
Let o(g) = -50 - 3*g + 75 + 0*g + 4*g. Let q be o(-21). Suppose 2*k - 90 = -q. Calculate the remainder when k is divided by 12.
7
What is the remainder when 193 is divided by ((13167/(-84))/(-19))/(2/16)?
61
Suppose 8 = -5*a - 7, 4*w + 2*a - 154 = 0. Calculate the remainder when 225 is divided by w.
25
Let z = 27 - 102. Let k = -53 - z. Suppose 7*j - 9*j + 16 = 0. Calculate the remainder when k is divided by j.
6
Let w(g) = -88*g**2 - 1192*g + 8. Calculate the remainder when w(-13) is divided by 163.
143
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