y t.
3
Let i = -27 + 33. Let t(u) = u**3 - 6*u**2 + 6*u + 9. What is the remainder when t(i) is divided by 16?
13
Suppose -7*u = -5*h - 10*u - 39, -18 = h + 4*u. Calculate the remainder when 75 is divided by (1/1 + 53)*(-3)/h.
21
Let r = 2606 - 2594. Suppose -2 - 4 = 2*o - 4*v, 0 = -o + v + 1. Calculate the remainder when r is divided by o.
2
Let d = -333 - -342. What is the remainder when 110 is divided by d?
2
Let p(t) = -t**2 + 5*t + 15. Let o be p(6). Calculate the remainder when (-6 + o)*(0 + 1*7) is divided by 7.
0
Let v = 16 + -23. Let y = -7 - v. Suppose 2*b - 22 = -y*b. Calculate the remainder when 32 is divided by b.
10
Let j(a) = a**3 + 4*a**2 + 2*a - 1. Let t be j(-3). Suppose -2*y = t*y - 308. Calculate the remainder when 32 is divided by (y/21)/((-1)/(-3)).
10
Suppose 3*j = 24 + 300. Let l = -728 - -756. Calculate the remainder when j is divided by l.
24
Let s = 1559 + -1544. What is the remainder when 386 is divided by s?
11
Let b = -62 + 93. Let u = 34 + -26. What is the remainder when b is divided by u?
7
Let n be 36/27*9/(-2). Let b = n - -13. What is the remainder when 10 is divided by b?
3
Let t(p) = -4*p**3 + 31 - 5*p**2 + 4*p + 7*p**3 - 4*p**3 + 6*p**2. Calculate the remainder when t(0) is divided by 7.
3
Let t = 75 - 59. Let q = -32 - -47. Let n = t - q. Calculate the remainder when 2 is divided by n.
0
Let g = 187 + -119. Calculate the remainder when 201 is divided by g.
65
Let a = 17 + 2. Let w = 27 - a. Calculate the remainder when 15 is divided by w.
7
Let w = -322 - -715. Let g = w + -211. Calculate the remainder when g is divided by 23.
21
Let n(d) = -d**3 - 5*d**2 - 5*d - 5. Let z = -151 + 162. What is the remainder when n(-5) is divided by z?
9
Suppose 2*c - 6 = -4*p + 148, -4*c - 4*p + 292 = 0. Suppose 3*q = 6*q - c. Suppose 0 = -2*m + 1 + q. Calculate the remainder when m is divided by 4.
0
What is the remainder when (-142)/(-7) - (-10)/(-35) is divided by 374/33 + 2/(-6)?
9
Let d(x) = 16*x**2 + 12*x + 14. What is the remainder when d(5) is divided by 28?
26
Let f = -5 - 17. Let c = f + -64. Let g = -44 - c. Calculate the remainder when g is divided by 11.
9
Let o = -298 - -550. Calculate the remainder when o is divided by 86.
80
Suppose -5*t + 8*a - 11*a = -50, 0 = -5*t - 5*a + 60. What is the remainder when t is divided by 1?
0
Let y = -16 + 118. Let g be 2/7 + (-192)/84 + 7. Suppose -g*m - 17 = -y. What is the remainder when 47 is divided by m?
13
Suppose 46 = 3*v - 44. Suppose v*y - 156 = 26*y. Calculate the remainder when y is divided by 7.
4
Suppose w = 4*s, 5*w + 3*s - 18 - 5 = 0. Calculate the remainder when 619 is divided by w.
3
Let d(s) = -9*s - 34. Let n = 77 - 84. What is the remainder when d(n) is divided by 10?
9
Suppose 0*z = -2*z + 2. Suppose -2*s = -3*v - z + 7, -v = -s - 1. Suppose 2*i = -i + 5*j + 56, -v*i + 68 = -5*j. What is the remainder when i is divided by 7?
5
Let t(q) = 251*q**3 + 37*q - 38. What is the remainder when t(1) is divided by 43?
35
Suppose -26*c + 24*c = -12. Suppose 0 = -t - c + 1, -40 = -2*p + 4*t. What is the remainder when 28 is divided by p?
8
Suppose -5*a + 606 = 4*j, 3*j + a - 300 = j. Let v = j + -83. Suppose 5*y = -3*c + 52, y - v = -5*c + 3*y. Calculate the remainder when 39 is divided by c.
11
Suppose -19*o = -709 - 165. What is the remainder when o is divided by 16?
14
Calculate the remainder when 260 is divided by (12 + 6 + -40)*(-2)/2.
18
Let j(q) = -q**3 - 7*q**2 - 10*q - 9. Suppose -4*b = y + 26, 0 = 3*y - b - 2*b + 3. What is the remainder when -10*558/(-180) + -3 is divided by j(y)?
13
Suppose -k - c = -34 - 74, 0 = -3*k - c + 322. Calculate the remainder when k is divided by 28.
23
Suppose -p = -67*x + 71*x - 6, -13 = -4*p - 5*x. Let m(u) = -u**3 - u**2 - 2*u - 1. Calculate the remainder when m(-2) is divided by p.
1
Suppose -60 = -p - p. Let c(w) be the second derivative of w**4/6 + 2*w**3/3 + 17*w**2/2 - 20*w. Calculate the remainder when c(-7) is divided by p.
27
Let r(n) = n**3 - 6*n**2 + 3. Suppose 0 = -0*l + l + 1. Let p be 9/(l/((-8)/12)). What is the remainder when 6 is divided by r(p)?
0
Let k(n) = 32*n + 4. Let t be k(9). Let j = -163 + t. Let s(p) = -25*p - 17. Calculate the remainder when j is divided by s(-2).
30
Calculate the remainder when 57 is divided by (-1335)/(-60) + (-1)/4.
13
Let u be 6/(-7)*70/(-15). Calculate the remainder when 14 is divided by u/(-16) + (-21)/(-4).
4
Suppose 2*t = 4*z + 8, 19 = -4*t + 2*z + 5. Suppose 0 = s + i - 12, 2*i - 12 - 33 = -5*s. What is the remainder when (-4)/t*405/10 is divided by s?
6
Let n = -276 - -307. Calculate the remainder when n is divided by 42/(-35)*20/(-3).
7
Suppose 3*c - 5*c = -2*y - 24, 0 = -y - 3. Calculate the remainder when 30 is divided by c.
3
Let f be 270 + -2 + 1 + 4. Suppose -r - 2*a + 126 = -3*a, 5*a - f = -2*r. Calculate the remainder when r is divided by 33.
30
Let x(c) = -7*c**3 + c**2 - 11*c - 16. Calculate the remainder when 78 is divided by x(-2).
12
Let x be -1 + 0 + 14 + -2. Suppose 2*q - 188 = -182. What is the remainder when -5*(x/(-5) + 1) is divided by q?
0
Let j(s) = 2*s**2 - 40*s - 39. What is the remainder when j(22) is divided by 6?
1
Let s = -49 - -56. Suppose 2*l + 195 = s*l. Let o = -11 + 32. What is the remainder when l is divided by o?
18
Let l(t) = -t**3 - 16*t**2 - 20*t + 9. Let f be l(-14). Let c = -61 - f. Let x(y) = -y**3 + 6*y**2 - 2*y - 4. Calculate the remainder when c is divided by x(5).
9
Let j = -13 + 15. What is the remainder when (-11)/(((-9)/j)/9) is divided by 12?
10
Let x be (-60)/50*(-10)/(-3). Calculate the remainder when 2 - ((-27)/3 - x) is divided by 5.
2
Suppose -2*g = -2*x - 3*g + 3, -2*x + 9 = 3*g. Suppose -z - 2*z - 4*n + 85 = 0, x = z + 5*n - 10. What is the remainder when z is divided by 19?
16
Let i(b) = b**3 + 2*b**2 - 3*b - 3. Let v be i(-2). Suppose 5*z - 220 = -m + 97, 3*m = v*z - 201. Calculate the remainder when z is divided by 35.
29
Suppose 2*o = 3*o - 6. Suppose -22 - 14 = -o*r. Calculate the remainder when r is divided by 6.
0
Let k(y) = 13*y**2 - 2*y + 1. Let l be k(1). What is the remainder when 23 is divided by 168/l + (0 - 2)?
11
Suppose -972 = -8*n + 84. What is the remainder when n is divided by 78?
54
Suppose -3*i + 42 = -3*v, 82*v = 87*v - 25. Calculate the remainder when 131 is divided by i.
17
Let q = -41 + 122. Let y = -56 + q. Suppose 4*x = -15 + 51. Calculate the remainder when y is divided by x.
7
Suppose -21 = -3*y - 51. Calculate the remainder when 68 is divided by 15 + 2/(y/(-15)).
14
Let y be 4/1*(-11)/(-22). Suppose -y*w - 19 = -39. Calculate the remainder when 49 is divided by w.
9
Suppose 0 = -5*r + 2*r + 201. Suppose -2*d - 5*k = -3*k - 18, -33 = -2*d + 3*k. What is the remainder when r is divided by d?
7
Calculate the remainder when 100 is divided by 54 - -3 - (-12)/(-2).
49
Suppose 12*r - 838 = 650. What is the remainder when r is divided by 42?
40
Let k = 283 - 57. Calculate the remainder when k is divided by 19.
17
Suppose -6*p + 14*p - 408 = 0. Let r(f) = 6*f - 8. Calculate the remainder when p is divided by r(6).
23
Suppose 0 = -207*h + 211*h - 592. What is the remainder when h is divided by 41?
25
Let n(x) = 10*x + 44. Let o be n(-4). What is the remainder when 213 is divided by (o/(-5))/((-4)/270)?
51
Let s = -40 + 90. Suppose -3*j + 22 = 2*p - 6, -4*j - 2*p = -40. Suppose -j*i + i = -297. What is the remainder when s is divided by i?
23
Suppose -30 = 4*m - 106. Suppose 4*k = 3*o - o - 100, -5*k = -4*o + 209. What is the remainder when o is divided by m?
18
Let f = 70 + -7. Suppose p + f = 4*p. Calculate the remainder when 39 is divided by p.
18
Let u = 1 - -17. Suppose -2*z + 156 = 2*h, z - 294 = -4*h + u. Calculate the remainder when h is divided by 16.
14
Suppose -34 = -n + 4*q, -3*n + 2*q = 5*q - 147. Let x = n + -21. Calculate the remainder when 124 is divided by x.
24
Suppose 2*n + 3 = n, q - 4*n - 17 = 0. Suppose -4 = 89*j - 271. What is the remainder when q is divided by j?
2
Let g(t) = -t**3 + 5*t**2 + 4*t - 3. Suppose 3 - 27 = -3*z. Calculate the remainder when g(4) is divided by z.
5
Let w be ((-18)/15)/(21/(-70)). Suppose 13 = w*p + 5. Calculate the remainder when 3 is divided by p.
1
Let k = -51 - -58. Calculate the remainder when 30*((-40)/(-12))/5 is divided by k.
6
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