 = -m**3 + 7*m**2 - 5*m + 97. Let u(n) = -n**3 + 2*n**2 - n + 1. Let c(x) = -2*u(x) + y(x). Calculate the remainder when c(0) is divided by 48.
47
Suppose -4*u + 3*x + 1591 = 0, 2*u + x + 369 = 1152. What is the remainder when u is divided by 137?
120
Let m(x) = -8 - x**2 - 5*x**2 - 10 + 5*x**2 - 33*x. What is the remainder when m(-24) is divided by 69?
60
What is the remainder when 165 is divided by 1072/40 - (-18)/15?
25
Let v = -5299 + 5668. Calculate the remainder when v is divided by 25.
19
Let k = 189 - 191. What is the remainder when (10754/57)/(0 + k/(-3)) is divided by 36?
31
Let k = -1421 - -1501. What is the remainder when 414 is divided by k?
14
Suppose -22 = -v + 136. Suppose 6*s + 12 = 4*f + s, 0 = 3*f + s + 10. Calculate the remainder when v is divided by 53*(f/(-3))/((-2)/(-3)).
52
Suppose 0*n - 208 = -4*n. What is the remainder when n is divided by ((-6)/2)/(-1 + -28*36/(-1197))?
14
Suppose -5186 = -273*u + 7645. What is the remainder when 150 is divided by u?
9
Suppose 0 = -37*z + 49*z - 288. Suppose -z*y = -27*y + 39. Calculate the remainder when 69 is divided by y.
4
Let j(o) = -4*o + 14. Let s be 33*(-2)/(-5)*(-50)/60. Suppose -3*z + 5*p = -7*z + 90, 0 = -5*z - p + 102. What is the remainder when j(s) is divided by z?
18
Suppose -112 = -2*j + 4*t, -2*j = 3*t - 76 - 85. What is the remainder when 834 is divided by j?
64
Let y(n) = 6*n**2 + 16*n - 32. Let w(s) = 13*s**2 + 32*s - 66. Let t(i) = -3*w(i) + 7*y(i). What is the remainder when 71 is divided by t(-7)?
8
Calculate the remainder when 68558/236 - 3/6 is divided by 285.
5
Let u(x) = -2*x**2 + 75*x - 519. Calculate the remainder when 1485 is divided by u(10).
28
Let o(z) = -z**2 + 4*z - 3. Let q be o(1). Suppose -96 = -3*p + 4*d, q = 2*p - 0*p - 2*d - 64. What is the remainder when 20 is divided by (25 + 1)*2*8/p?
7
Let r(l) = -l**3 + 33*l**2 + 32*l + 73. Let v be r(34). Suppose -3*t + v*z + 37 = 0, 3*t + z = -0*z + 25. Calculate the remainder when 223 is divided by t.
7
Let n(h) = 7*h**3 - 7*h - 5*h**2 + 19*h - 12*h + 1. Let y be n(2). Suppose -y = -3*d + 59. What is the remainder when d is divided by 6?
2
Let l(p) = p**3 + 8*p**2 + 14*p + 245. Calculate the remainder when l(-8) is divided by 6.
1
Let b(l) = 75*l - 385. Calculate the remainder when b(7) is divided by 76.
64
Suppose 539 = 9*h - 4*q, -3*h - 4*q + 269 - 52 = 0. Calculate the remainder when 222 is divided by h.
33
Calculate the remainder when 1290 is divided by 205/12 + 65/(-780).
15
Suppose -19 = -2*h + 11. Suppose -4*q = 3*m + 237, 0*q - h = 5*q. Let a = m + 124. Calculate the remainder when a is divided by 13.
10
Let b(w) = 4*w**2 + 10*w. Let r be b(4). Let f = 162 - r. What is the remainder when f is divided by 33?
25
Calculate the remainder when 6262 is divided by (35/5 - (-4 + -2))/(7/7).
9
Let a be (-836 + -12)*1*(-1)/2. Suppose -a = 4*k - 8*k. Suppose -p + 2 = 0, 5*r - 47 = 5*p + 3. Calculate the remainder when k is divided by r.
10
Let p(r) = r**3 - 3*r**2 + 8*r - 10. Let a(j) = -5*j**3 - 4*j - 4. Let s be a(-1). What is the remainder when p(s) is divided by 22?
14
Suppose -4*b + 61*o - 66*o - 2568 = 0, 0 = 5*b + o + 3231. Let d = 670 + b. What is the remainder when 81 is divided by d?
12
Let v = 11065 + -10827. Calculate the remainder when 1661 is divided by v.
233
Suppose 28*m + 2635 = 45*m. Calculate the remainder when 491 is divided by m.
26
Suppose 0 = s - i + 516 - 3617, 2*i - 3092 = -s. Calculate the remainder when s is divided by 345.
338
Suppose -2*x - 8 = 0, -12*r + 3*x + 638 = -11*r. Let b = -593 + r. Calculate the remainder when 63 is divided by b.
30
Let y = 30 + -8. Suppose 5*t - 100 = -3*n, 2*t + y = -5*n + 176. Suppose 460 = 7*m + 47. Calculate the remainder when m is divided by n.
29
Let y(n) = 5*n**2 + 5*n - 11. Suppose -53*b + 49*b + 118 = 10. What is the remainder when y(8) is divided by b?
25
Let p(q) = 21*q - 112. Let w be p(6). Suppose w*c - 104 = c. Calculate the remainder when c is divided by 6.
2
Let d(i) = 22*i**2 + 64*i - 24. Let b(y) = 7*y**2 + 22*y - 8. Let v(x) = 10*b(x) - 3*d(x). What is the remainder when 158 is divided by v(-8)?
14
Let k = -1841 + 4253. Calculate the remainder when k is divided by 5.
2
Let h(r) = -r - 16 + 1 + 672*r**2 + 667*r**2 - 1346*r**2 - 3*r**3. What is the remainder when h(-5) is divided by 39?
34
Let l = 42 - 25. Suppose -l = 5*m - 42. Suppose -4*y - 29 = -z, 2*z + m*y = 7*z - 145. What is the remainder when 142 is divided by z?
26
Let z(j) = j**2 + 3*j - 2. Let f be z(-6). Suppose -2*i + f = -i. Suppose n - 2*k = 3*k + i, 0 = -4*k + 8. Calculate the remainder when n is divided by 14.
12
Let g = 101 + -69. Let h(t) = -11*t**3 + 10*t**3 + 21 + 5*t - 12*t**2 - 8 + 10*t**2. Calculate the remainder when g is divided by h(-3).
4
Let b = -14 - -10. Let y = -926238 + 926255. What is the remainder when (-1)/b + 981/12 is divided by y?
14
Suppose -14*y = -9*y - 180. Suppose -2*r + 4*b + 10 = -y, 0 = -5*r - 4*b + 171. What is the remainder when r is divided by (-3)/2 + (-23)/(-2)?
1
Let n = 25 - 18. Suppose 5*v - v - 2*c - 10 = 0, n = 5*v + 3*c. Suppose 2*h + 127 = 5*d - v*h, 4*d - 4*h = 104. Calculate the remainder when 42 is divided by d.
19
Let w(g) = -g**2 + 20*g + 71. Let y be w(28). Let n = 243 + y. What is the remainder when n is divided by 40?
10
Suppose o - 191 + 181 = -2*s, 5*o = -2*s + 106. Calculate the remainder when 2853 is divided by o.
21
Suppose 10*a + 7408 = 65098. What is the remainder when a is divided by 13?
10
Let f be 4/(-28) - (-9)/63. Suppose f = -2*o - 2, l - 23 = -5*o + 8. What is the remainder when 121 is divided by l?
13
Let y(f) = -327*f**3 + 4*f**2 + f - 1. Let n be y(-1). Suppose i - n = -6*i. What is the remainder when 375 is divided by i?
46
Suppose -31*x = 82*x - 34*x - 948. Suppose 3*p = 5*v + 618, -4*v = -2*p + 626 - 212. Calculate the remainder when p is divided by x.
9
Let p = -43 - -74. Suppose 4*s - 35 = 3*z - 4*z, 5*s - 85 = -4*z. Suppose 0 = z*x - 1423 - 407. Calculate the remainder when x is divided by p.
29
Suppose -29 + 10 = -n. Suppose -16*x = z - 11*x - n, -2*x - 2 = 0. Calculate the remainder when z is divided by 11.
2
Suppose -7*o = -6*o + 5*i + 12, 0 = 2*o - 6*i - 72. Let f(l) = 13*l**2 - 3. Let m be f(-5). Suppose 20 = o*u - m. What is the remainder when 54 is divided by u?
16
Let p = 207 - 86. What is the remainder when p is divided by (123/12 - 5)/((-1)/(-4))?
16
What is the remainder when 174 is divided by 29/(29/8) + 31?
18
Let x(z) = z**3 - 6*z**2 - 6*z + 12. Let s be x(7). Let g(c) = -c**2 + 22*c - 43. What is the remainder when 2/2 + -2 + 28 is divided by g(s)?
13
Suppose -5*s + 892 = p - 690, -5*s = 6*p - 1617. What is the remainder when s is divided by 310?
5
Let q(l) = -5*l**3 + 15*l + 18. Suppose 0 = 5*m - 18 - 12. Suppose -4*f + m*f - 12 = 0. What is the remainder when q(-2) is divided by f?
4
Let q = 5 - -88. Suppose -98*j + 965 = -q*j. What is the remainder when j is divided by 28?
25
What is the remainder when 6*(-71)/(-2) - -5 is divided by 57?
47
Let q(p) = -12*p + 26. Let k be q(-9). Let t = k - 129. What is the remainder when 4/(-2) + (0 - -30) is divided by t?
3
Let u(g) = 14*g**2 + 149*g + 1466. Calculate the remainder when u(-8) is divided by 84.
78
Let y(z) = 257*z - 88. Calculate the remainder when y(3) is divided by 76.
75
Suppose d + 3*z - 111 = -4*d, -2*d - z + 45 = 0. Suppose -4*x = 2*w - 150, 0 = -3*x + w + 24 + 86. Calculate the remainder when x is divided by d.
13
Suppose -4*g + 152 = 8*o, -35*o + 30*o + 90 = 5*g. Suppose 3*z = -2*w + z + 116, 5*w = -z + 282. Calculate the remainder when w is divided by o.
16
Let t = -4100 + 4141. Calculate the remainder when 194 is divided by t.
30
Suppose -14*q + 397 + 317 = 0. Let t be ((-18)/2)/((-1)/(-4)). Let i = q + t. What is the remainder when 71 is divided by i?
11
Suppose 13*l + 13*l = -4*l + 2760. What is the remainder when l is divided by 57?
35
Let a(b) = -b**2 - 15*b - 2. Let r be a(-17). What is the remainder when 53 is divided by (-16)/r - 298/(-18)?
2
Suppose 5*z - 6 = 9, 4*d + 5*z = 591. Suppose -2*x = -3*x + 2*s + 45, -4*x + d = s. Calculate the remainder when x is divided by 7.
2
Suppose -2*n = -1 - 5. Suppose 4*r + 3*h = 27, -637*h + 21 = -640*h. What is the remainder when r is divided by n?
0
Let n = -7658 