3 - 2*z**2 - 3*z - 10. Let r = -71 - -72. Let p be (12 + -15)/(1/r). Calculate the remainder when 12 is divided by w(p).
4
Let k be (2 - 7) + 5 + -2. Let g(b) = 4*b**2 + 11*b + 18. Let m(q) = q**3 + 3*q**2 - 2*q - 2. Calculate the remainder when m(3) is divided by g(k).
10
Suppose 661*m = 560*m + 303. Suppose 0 = -0*v - v + 2. Suppose 3*g = 4*q - q - 21, 5*q - 7 = -v*g. What is the remainder when q is divided by m?
0
Let v be (-2 + (-2 - -1))*(-1 - 4). Suppose 5*o - 1155 = -12*w + v*w, 0 = -o + 3*w + 243. Calculate the remainder when o is divided by 33.
30
Let l(i) = -i**2 + 34*i - 208. Let g be l(26). Suppose -361*m + 369*m - 336 = g. Calculate the remainder when m is divided by (46/4)/((-2)/(-4)).
19
Suppose 3942 = 104*t + 70*t + 45*t. What is the remainder when 716 is divided by t?
14
Let n = 5 - -8. What is the remainder when 8/(((-1440)/(-306))/20) is divided by n?
8
Let m(z) = -z**3 - 6*z**2 - 3*z + 7. Let k be m(-5). Calculate the remainder when 189 is divided by (1/2)/(k/(-30)).
4
Let c(g) = 7*g + 9*g - 5 + 0 - 21 - 3. What is the remainder when 35 is divided by c(3)?
16
Let v be (-2 - 100/(-45))*9. What is the remainder when (-1128)/(-36) - (v/(-3) + 2) is divided by 6?
0
Let b = 8999 - 8851. Calculate the remainder when b is divided by 24.
4
Suppose -4*s + 0*s + 68 = -2*m, 0 = 2*m. Suppose -3*b = -4*o + s, 3 = o - 2. Calculate the remainder when 20 is divided by b.
0
Suppose -2*d - 3*a = -83 - 89, -2*d = 5*a - 168. Suppose -4*o + 2*h = -110, -2*o - 3*h = -7*o + 136. Calculate the remainder when d is divided by o.
2
Suppose 0 = 2*w + 4, -304 = -3*b - 5*w + 31. What is the remainder when b is divided by 99?
16
Let f(z) = z**2 - 2*z - 6. Let g be f(4). Suppose 4*d = -g*p + p + 64, 4*p - 52 = -4*d. What is the remainder when d is divided by 2/((24/(-20))/(-3))?
2
Let f(v) = v**2 - 7*v + 16. Let y be f(9). Let b = y - -45. What is the remainder when b is divided by 10?
9
Suppose 5*i + 35 = 3*x, 8*x - 12*x + 24 = -i. Calculate the remainder when 27 is divided by 8/((-2)/(i*2/4)).
3
Let r = -38 - -82. Suppose -6*l + 8*l + r = 0. Let d = l + 35. Calculate the remainder when d is divided by 9.
4
Suppose -c + 4 = 1. Let b = -19 + 28. Suppose -b = c*f - 69. Calculate the remainder when 57 is divided by f.
17
Calculate the remainder when 288 + -11 + 90/5 is divided by 135.
25
Let i = 12658 + -12648. Calculate the remainder when 3714 is divided by i.
4
Let y(u) = -u**3 - 12*u**2 - 15*u - 16. Let p be (-369)/36 + 6/(-8). Calculate the remainder when y(p) is divided by 20.
8
Let f(y) = -328*y + 120. Let u be f(-7). Suppose -78*i + 62*i + u = 0. Calculate the remainder when i is divided by 31.
27
What is the remainder when 674 is divided by (-19 - 8279/(-51)) + (3 - (-40)/(-12))?
102
Let u = 23225 - 21392. Calculate the remainder when u is divided by 302.
21
Suppose -3*c + 2*c + 18 = 0. What is the remainder when 53 is divided by (-5 - -6)*(-7 + c)?
9
Let i(g) = -4*g**3 + 12*g + 5. What is the remainder when 215 is divided by i(-3)?
61
Suppose -17*l + 19*l - 20 = 0. Suppose l*c = 16*c - 120. What is the remainder when 177 is divided by c?
17
Suppose 0 = -17*x + 61040 - 24107 + 25508. Calculate the remainder when x is divided by 732.
13
Let d(v) = -57*v**2 - 98*v + 6. Let k(l) = -19*l**2 - 33*l + 2. Let a(y) = -3*d(y) + 8*k(y). What is the remainder when a(-4) is divided by 46?
44
Suppose 0*n = -6*n + 42. Suppose 7 = -23*x + 99. Calculate the remainder when n is divided by x.
3
Suppose -s - s - 222 = 2*n, s - n = -105. Let v = 260 + s. Suppose 2*k = -2*k + v. What is the remainder when k is divided by 10?
8
Let h = 1167 + -1173. Let y(m) = -20*m - 33. Let r(u) = -20*u - 33. Let p(f) = 7*r(f) - 6*y(f). Calculate the remainder when p(h) is divided by 15.
12
Suppose 86*h - 4252 - 4145 = -2635. What is the remainder when 1069 is divided by h?
64
Let o = -575 - -1073. Let t = 633 - o. Calculate the remainder when t is divided by 8.
7
Calculate the remainder when 133 is divided by (-780)/(-50) + (-3)/5.
13
What is the remainder when (-13)/4 + 1647470/1496 is divided by 72?
18
Suppose 5*k = 2*k + 96. What is the remainder when (-16525)/(-75)*1 + 8/(-6) is divided by k?
27
Let q(t) be the second derivative of 5*t**3/3 - 62*t**2 + 17*t - 2. What is the remainder when 395 is divided by q(16)?
35
Suppose 0 = 2*b + 5*y - 21, -2*b + y = -0*b - 39. Let w = 5009 - 4927. What is the remainder when w is divided by b?
10
Let v(c) be the second derivative of c**5/10 - c**4/6 + c**2/2 + 5*c + 5. Suppose 4 = r + 3. Calculate the remainder when v(r) is divided by 1.
0
Let j(h) = 8*h - 134. Let b be j(17). Calculate the remainder when ((-1)/b - 915/10)*-1 is divided by 47.
45
Suppose 0 = 4*r + 3*l - 43, 4*l = -5 + 9. Suppose -10*g + 2*p = -8*g - 26, r = 2*p. What is the remainder when 87 is divided by g?
15
Suppose 5*p - 75 = 5*d, 6 = 3*d + 21. Let y be p/(-35) - 74/(-14). Suppose 855 = y*m + 4*m. What is the remainder when m is divided by 24?
23
Let b(m) = -84*m - 24. Let z be b(-12). What is the remainder when 89 is divided by ((-1)/(-2) - 1)/((-12)/z)?
7
Suppose 39*p - 34*p + 3*g = 163, -5*g = -2*p + 90. What is the remainder when 3217 is divided by p?
32
Let f(i) = 9*i**2 - 18*i - 26. Suppose 0 = 4*d - 6*d + 48. Calculate the remainder when f(5) is divided by d.
13
Suppose -231*x + 5047 = -9737. What is the remainder when 130 is divided by x?
2
Let d(i) = 14*i**3 - 3*i**2 + 2*i + 1. Let u = 14 - 14. Suppose 6*w = -u*w + 12. What is the remainder when d(w) is divided by 18?
15
Let t(p) = -10*p + 16. Let w be t(-2). Suppose -3*o + 8*o + 4*c - 32 = 0, -5*o = 2*c - w. What is the remainder when 133 is divided by o?
5
Let v(m) = -15*m + 92. Let z be v(6). Suppose 0 = -4*h - 3*l + 952, z*l = 3*h - 271 - 426. What is the remainder when h is divided by 60?
55
Let v be ((-120)/28)/((-355)/350 - -1). What is the remainder when 119 is divided by (-21)/(-6)*v/35?
29
Suppose p + 4*p = -40*p + 16470. Calculate the remainder when p is divided by 124.
118
Let u = -24 - -48. Let m = u + -22. Suppose 2*x + 3*f = 48, 3*f - 2*f + m = 0. What is the remainder when 47 is divided by x?
20
Let t(q) = 27 + 6 + 28*q - 17*q - 12*q. Let o be t(12). Let z = o + -11. What is the remainder when 25 is divided by z?
5
Suppose -3*f = 2*m - 5455, 0*m - 10917 = -6*f + 3*m. What is the remainder when f is divided by 20?
19
Let g(a) = -a**2 - 5*a + 20. Let f be g(0). Let r be -27 + (-5)/(f/(-16)). Let i = 28 + r. What is the remainder when 15 is divided by i?
0
Let g = -312 + 331. Suppose g*z = 16*z + 132. What is the remainder when z is divided by 10?
4
Let h = 3384 - 2638. Calculate the remainder when h is divided by 58.
50
Suppose -12409*s - 159 = -12410*s. Let q = -1 - -1. Suppose -g + 4*g - 54 = q. Calculate the remainder when s is divided by g.
15
Suppose 1660 = 41*u - 1374. Calculate the remainder when 1997 is divided by u.
73
Let f(i) = -3108*i - 1344. What is the remainder when f(-1) is divided by 118?
112
Let o(w) be the first derivative of w**4/4 + 16*w**3/3 + 55*w**2/2 - 16*w - 215. Calculate the remainder when (1 - 1 - -65) + -1 is divided by o(-10).
30
Let t = -24 - -26. Suppose -f - t*l + 11 + 49 = 0, -4*l = 4*f - 236. Let s = -35 - -50. What is the remainder when f is divided by s?
13
Suppose -3*o = -4*k - 8*o + 668, 0 = -5*k - 5*o + 835. Let u = k + -146. Calculate the remainder when u is divided by 12.
9
Let h(r) = -7*r + 12. Let y be h(6). Let l = y + 45. What is the remainder when 38/(-8)*60/(-5) is divided by l?
12
Suppose 0 = 13*c - 3956 - 4468. What is the remainder when c is divided by 113?
83
Let w(b) = 24*b + 28. Let z be w(-8). Let i = -137 - z. What is the remainder when 53 is divided by i?
26
Let y(d) = 19*d - 30. Let c be (-12*2/(-8))/1. Calculate the remainder when 69 is divided by y(c).
15
Let q = -26081 + 26139. What is the remainder when 141 is divided by q?
25
Let j(s) = -s**3 - 60*s**2 - 63*s - 115. What is the remainder when 472 is divided by j(-59)?
109
Let c = -10111 - -10124. What is the remainder when 40 is divided by c?
1
Suppose 0 = -4*t - m + 31, -27 = -4*t - 0*m - 5*m. Let d = 85 + -82. Suppose 4*g - 119 = -d. Calculate the remainder when g is divided by t.
5
Suppose -12 = -4*y, 109*v - 3*y = 112*v - 81. Calculate the remainder when 65 is divided by v.
17
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