ed by j.
13
Let t(l) = 3 - 2 + 42*l - 2*l**2 - l**3 - 43*l. What is the remainder when 2 is divided by t(0)?
0
What is the remainder when (-3 + 13/1)*(-110)/(-20) is divided by 31?
24
Let f be (-21)/18*-6 + (-1)/(-1). Suppose -3*j + 55 = 2*d, 2*d - 5 - f = -j. Calculate the remainder when 80 is divided by j.
17
Suppose -2*t = -5*h + 1 + 56, -3*t = -h + 1. Calculate the remainder when 76 is divided by h.
11
Let l(g) = g. Let q be l(3). Suppose -z + 1 = 4*s, -q*z + s = -4*z + 4. Let p = 7 + z. What is the remainder when 23 is divided by p?
11
Let y(w) = -w**2 + 9*w + 12. Let u be y(6). Suppose 4*h + 2*t + 2*t - 80 = 0, 3*t + u = 2*h. What is the remainder when 89 is divided by h?
17
Let w = -1335 - -1985. What is the remainder when w is divided by 214?
8
Let y(q) = -q**3 - 5*q**2 + 5. Let z be y(-5). Suppose 105 = -2*c + z*c. Suppose p - c = -4*p. What is the remainder when 25 is divided by p?
4
Suppose 17*g - 32*g + 2145 = 0. Calculate the remainder when g is divided by 11.
0
Let n(p) = -p + 12. Let m(x) = -17*x**3 - x**2 - 1. Calculate the remainder when m(-1) is divided by n(6).
3
Let m(s) = s**2 - 6*s - 7. Let x be m(7). Let r = 3 - x. Suppose 28 = -d + r*d. Calculate the remainder when d is divided by 4.
2
Suppose -145 = 4*x - m - 1146, x - 251 = m. What is the remainder when x is divided by 52?
42
Suppose 2*k + 5 - 13 = 0. Suppose h - 5 = k. Let p(b) = 25*b. What is the remainder when p(1) is divided by h?
7
Let k = 181 + -161. What is the remainder when k is divided by 7/3*(-6 - -9)?
6
Let w be (-8)/(-28) + (-304)/(-14). Let r = w - 12. Let o = 10 + -7. What is the remainder when r is divided by o?
1
Suppose -801 = -2*r + 10*u - 13*u, r = u + 393. What is the remainder when r is divided by 20?
16
Let b = 14 + 2. Calculate the remainder when (0 + 4 - -3) + 53 is divided by b.
12
Suppose 3 - 6 = 3*n. Let d(l) = -9*l**3 - l**2 - l. What is the remainder when d(n) is divided by 3?
0
Calculate the remainder when 262 is divided by (8/(-2))/((-6)/33).
20
Let x = 32 - 21. Let p(c) = 6*c - 7. What is the remainder when x is divided by p(2)?
1
Suppose 2*s = -3*c + 6, 3*s = -s + 5*c - 10. Suppose 0 = -4*b - s*b. Suppose -3*o + 19 = k, b*o + 5*k + 65 = 5*o. What is the remainder when 14 is divided by o?
6
Let x(s) = 2*s**3 - 3*s**2 - 2*s - 1. Let r be x(3). Let y be ((-255)/45 - -6)/((-2)/(-30)). Suppose 5 + r = y*v. What is the remainder when 19 is divided by v?
4
Suppose -918*i + 909*i = -1206. What is the remainder when i is divided by 9?
8
Suppose -5*n - 3*c - 1003 + 1109 = 0, 3*c + 50 = n. Suppose 4*y + 77 - 361 = -5*z, 5*y - 4*z - 396 = 0. What is the remainder when y is divided by n?
24
Suppose -5*v = 3*q - 453, 5*v - 4*q - 176 = 3*v. Let l = 39 + -26. What is the remainder when v is divided by l?
12
Let d be (8/4)/(4/(-116)). Let i = 3 - d. What is the remainder when i is divided by 8?
5
Suppose 28*a + 390 - 2854 = 0. Calculate the remainder when 260 is divided by a.
84
Let p(v) be the first derivative of v**4/4 + 4*v**3/3 + v**2 - 4*v - 5. Let b be p(-4). What is the remainder when 34 is divided by (b/3)/(2/(-6))?
10
Let d(j) = 70*j + 449. Calculate the remainder when 201 is divided by d(-6).
27
Suppose 63 + 12 = 5*u. Suppose -35 = 14*f - u*f. Suppose -l + 6*l - f = 0. Calculate the remainder when 26 is divided by l.
5
Let b = -195 - -204. What is the remainder when 42 is divided by b?
6
Let n = -438 + 444. Calculate the remainder when 11 is divided by n.
5
Suppose -4*u - 7*q - 10 = -2*q, 2*u = 3*q + 6. Suppose u = -3*d + 21 + 21. Let h = 142 - 88. What is the remainder when h is divided by d?
12
Suppose 3*p = 5*p - 56. Let l(j) = j**3 + 10*j**2 - 13*j - 13. Let b be l(-9). Let y = -74 + b. What is the remainder when y is divided by p?
27
Suppose -20*l + 2*h = -19*l - 50, -4*l + 155 = h. Suppose 70 = 3*d + 2*d. Calculate the remainder when l is divided by d.
12
Let i = -72 - -115. Calculate the remainder when 1288 is divided by i.
41
Let c = -9 - -15. Suppose -3*x - c = 0, -m - x = -4*m + 2. Suppose -2*a - 4 = -2*o, 4*o - 2*a - 12 = -m. What is the remainder when 11 is divided by o?
3
Let u(p) = 3*p**2 - 3*p + 5. Suppose 5*a = -4*f + 63, -3*a - 9 = -6. Calculate the remainder when u(5) is divided by f.
14
Suppose 3*t = -2*l - 18, -4*l = -t - 2*t. Let g = 27 + t. Calculate the remainder when 64 is divided by g.
18
Let z(c) = 2*c**2 - 29*c + 17. Let v be z(14). Suppose 0 = 3*w + 5*l - 190, -v*w = 2*l - 6*l - 199. Calculate the remainder when w is divided by 33.
32
Let p(d) = -d**2 - 2*d + 5. Let t be p(0). Suppose -z - t*x = 0, -2*z + 5*x + 0*x + 60 = 0. Let c = 23 - z. Calculate the remainder when 3 is divided by c.
0
Let v(y) be the third derivative of -y**5/60 + 7*y**4/24 - 5*y**3/6 - 3*y**2. Calculate the remainder when 3 + 21 + 16/4 is divided by v(5).
3
What is the remainder when (-1978)/(-33) - 110/(-1815) is divided by (124/16)/(3/12)?
29
Let j(d) = 4*d**2 - 49*d + 23. What is the remainder when 840 is divided by j(14)?
114
Suppose -4*h = -3*h + 4*q - 13, 0 = 4*q - 16. Let v = -17 - -24. What is the remainder when h + 2 + 30 + -4 is divided by v?
4
Suppose 7 = 5*m - 18. Suppose -m*i = -i - 12. Calculate the remainder when 6 is divided by i.
0
Suppose 2*o + 2*o + 43 = r, -r - 2*o + 13 = 0. Let k(d) = -d**2 - 8*d + 1. Let b be (-80)/14 - 6/21. Calculate the remainder when r is divided by k(b).
10
Let z(w) = w**3 - 20*w**2 + 37*w - 13. Calculate the remainder when 19 is divided by z(18).
4
Suppose 3*a = -5*d + 5 - 20, a + 12 = -4*d. Let q be (-2)/((-7)/d + -3). Calculate the remainder when 37 is divided by 56/q + 1/3.
18
Calculate the remainder when 14658/22 + (-3)/11 is divided by 61.
56
Let r = -51 - -30. Let w = 36 + r. What is the remainder when 40 is divided by w?
10
Let y = 15196 + -15175. Suppose -3*m = -0*m - 117. Calculate the remainder when m is divided by y.
18
What is the remainder when 31544/38 - 12/114*1 is divided by 49?
46
Let m(w) = w**2 + 10*w + 6. Let o be m(-7). Let x be o/(-6)*12/(-15). Calculate the remainder when 11 is divided by (-120)/(-18) - x/(-3).
5
Let y = -560 + 602. Calculate the remainder when y is divided by 37.
5
Let i(n) = -9*n - 2. Let r be i(-3). Calculate the remainder when 147 is divided by r*-2*(-1)/2.
22
Let w be (-5)/10 - (-129)/(-6). Let r = 24 + w. Suppose -4*z = -3*k + 18, -k = r*k - 5*z - 18. What is the remainder when k is divided by 3?
0
Suppose 4*h - 12*b = -13*b + 37, 59 = 5*h - 3*b. Calculate the remainder when 508 is divided by h.
8
Suppose 3*u - 8 = -2. Suppose -2*r = 5*s - 917, 357 = u*s + 4*r - 13. Suppose -2*h = h - s. Calculate the remainder when h is divided by 21.
19
Let q(t) = -2*t**3 - t**2 + 1266. Let u be q(0). Calculate the remainder when 20/30 - (u/(-9))/2 is divided by 9.
8
Suppose -112 - 258 = 5*j. Let k = -40 - j. Calculate the remainder when 66 is divided by k.
32
Let d(n) = -n**3 - 20*n**2 + 40*n - 12. What is the remainder when d(-22) is divided by 41?
35
Suppose 5*l = 15, l + 14 = 2*g - 1. Calculate the remainder when 25 is divided by g.
7
What is the remainder when ((-66)/1)/((-18)/297) is divided by 10?
9
Let c(q) = -q**2 + 3*q + 5. Suppose -47 = -2*v + 3*v. Let w = 48 + v. Calculate the remainder when w is divided by c(4).
0
Let u(t) = 37*t - 1347. Let r(c) = c**2 - c + 4. What is the remainder when u(40) is divided by r(-5)?
31
Suppose 2*p + 15 = -3*j + 39, 5*p - 3*j - 18 = 0. Let d be 48/(-2)*1/(-3). Suppose 5*a - d = 2. What is the remainder when p is divided by a?
0
Let o(v) = v**2 - 19*v - 43. Let i be o(18). Let f = 129 + i. Calculate the remainder when f is divided by 4/10 + (-339)/(-15).
22
Let x(f) be the first derivative of -f**3/3 + 12*f**2 - 19*f - 4. Calculate the remainder when x(11) is divided by 32.
28
Suppose 7*n = 33 + 23. Let u(c) = c**2 - 2*c - 6. What is the remainder when u(-5) is divided by n?
5
Let b = -448 + 627. What is the remainder when b is divided by 30?
29
Let r be 22/(-7*3/(-126)). Let d = 9 - -31. Calculate the remainder when r/10 - 8/d is divided by 8.
5
Let d(y) = -2*y**2 - 12*y + 7. Let t be d(-6). Suppose -11*w = -t*w. Suppose 0*p - 3*p + 6 = w. What is the remainder when p is divided by 2?
0
Let q(x) = 4*x - 9. Let n be q(3). Suppose 5*l = 3*y + 99, 7*y = -n*l + 2*y + 73. Calculate the remainder when l is divided by 8.
5
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