t x(w) = 2*w**3 - 44*w**2 + 2*w - 36. Let c be x(22). Calculate the remainder when 71 is divided by 28 + 16/(-24) + c/(-6).
19
Let h(c) = 3*c**3 + 20*c**2 + c - 42. What is the remainder when 94 is divided by h(-6)?
22
Let j(o) = -o**2 - o + 35. What is the remainder when 83 is divided by j(0)?
13
Let w = 107 - 90. Suppose w*u = 24*u - 448. What is the remainder when u is divided by 22?
20
Suppose -z + 6*z = 445. Let h be (-3)/(-3*(-7)/(-42)). Suppose -h*q = 3*k - q - z, 0 = k - 2*q - 37. Calculate the remainder when k is divided by 18.
15
Let d be (7/21)/((-3)/(-189)). Calculate the remainder when 3252/42 + (-9)/d is divided by 16.
13
Suppose 64*u - 59*u = 2*y - 26, 11 = y - 2*u. Let r(v) = -v + 3. Let d be r(-2). What is the remainder when d/(10/(-4)) + (14 - 0) is divided by y?
0
Suppose -2*h + 39 = -5. Suppose -2080 = -7*j - 785. Calculate the remainder when j is divided by h.
9
Let n be 1 + (-2)/(-2) + 66. Let x(f) = -5*f**3 + f**2 - 5*f - 16. Calculate the remainder when x(-2) is divided by (-2)/(-5) + n/5.
10
Suppose 5*i = 4*s - 5, 5*i - 1 + 11 = 3*s. Let u(h) = -h**3 - 2*h**2 - 8*h - 11. Let k be u(s). Let f = k - 62. What is the remainder when 82 is divided by f?
40
Suppose 4*b = 5*n - 263, -5*b = 12 - 2. Suppose -261 - 105 = -2*x - 78. What is the remainder when x is divided by n?
42
Let n(x) be the first derivative of x**3 + 45*x**2/2 - 35*x - 20. Calculate the remainder when 38 is divided by n(-16).
12
Suppose -33*j - w + 164 = -28*j, -2*j + 62 = 4*w. Suppose -11*y = -j*y + 2156. What is the remainder when y is divided by 53?
45
Suppose 43*l - 32*l = -91*l + 22644. What is the remainder when l is divided by 30?
12
Suppose -3*i = 2*n - 34, 0*n - 8 = -2*i - 5*n. Let f(m) = -11*m + 20. What is the remainder when f(-17) is divided by i?
11
Suppose 0 = 6*h - 149 - 181. Let t = -52 + h. Suppose 2*c + 4*z = -10, -4*c + 6 = -t*z - 7. Calculate the remainder when 4 is divided by c.
0
Let k = 11818 - 11546. What is the remainder when k is divided by 29?
11
Let u = -5708 - -5745. What is the remainder when 437 is divided by u?
30
Let w = -29 - -51. Suppose 40*q - 76*q = -1080. Suppose 246*n = 256*n - q. What is the remainder when w is divided by n?
1
Let s = -64 + 66. Let x be 4*(-1)/s + -3 + 7. Suppose -x*m = 9*m - 33. What is the remainder when 4 is divided by m?
1
Let j = 66841 - 37242. What is the remainder when j is divided by 11?
9
Suppose -5*w + 152 = -273. Let n = -762 + 891. Let u = n - w. Calculate the remainder when u is divided by 24.
20
Suppose -p + 24*c + 4 = 21*c, 2*c = -3*p + 34. Calculate the remainder when 1065 is divided by p.
5
Let p(q) = -21*q - 561. What is the remainder when 598 is divided by p(-27)?
4
Let j = 188 - 962. Calculate the remainder when 2*3/9 + j/(-54) is divided by 14.
1
Let r = -560225 - -560535. Let w(h) = -2*h**3 - 5*h**2 + 2*h - 1. Calculate the remainder when r is divided by w(-4).
37
Suppose 4*i + 9375 = 9*i. Suppose 7*v + i = 32*v. What is the remainder when v is divided by 13?
10
Suppose 2*r + 5*l - 670 = 0, 3*l - 100 = r - 435. Suppose -157 = -4*u + 3*f + 285, -3*u + 4*f + r = 0. Calculate the remainder when u is divided by 33.
10
Let d = 90 + -74. Suppose 4*f = -4 + d, 2*f - 86 = -4*m. What is the remainder when 82 is divided by m?
2
Let l(d) = -7*d - 52. Suppose -2*g + 3*v - 25 = 17, 0 = -3*v + 12. What is the remainder when l(g) is divided by 14?
11
Suppose 4*w + 4*g - 496 = 0, 4*g = -2*w + 254 - 14. What is the remainder when w is divided by (2/(-4))/((-7)/924)?
62
Let z(a) = 4*a - 115. What is the remainder when 615 is divided by z(51)?
81
Let y(v) = 2*v + 11*v + 83 - 28 - 2*v. What is the remainder when 306 is divided by y(-3)?
20
Suppose -43*o + 5 = -300 - 426. What is the remainder when 2175 is divided by o?
16
Let o(s) = -s - 14. Let g be o(-16). Suppose 3*k = -8*v + 3*v + 211, -5*v - 124 = -g*k. Calculate the remainder when 131 is divided by k.
64
Let k = 117 - 52. Let f = -46 + k. What is the remainder when f is divided by 16?
3
Suppose z - 1 = 16. Suppose 9886 = 19*o - 2388. Let k = o + -636. Calculate the remainder when z is divided by k.
7
Suppose 3417 = 44*t - 27*t - 11509. Calculate the remainder when 2636 is divided by t.
2
Suppose -5*k + 304 = -4*h, -279*h = k - 283*h - 64. Calculate the remainder when 86 is divided by k.
26
Suppose 11136 = -23*m + 145*m - 6554. What is the remainder when m is divided by 63?
19
Let c(p) = 61*p**2 + 142*p - 2184. Calculate the remainder when c(16) is divided by 204.
200
Suppose -19*t + 12*t + 4536 = 56*t. Suppose 0 = 2*l - 5*v - 553, 0 = -l - 6*v + v + 299. Calculate the remainder when l is divided by t.
68
Let z = 813 - 341. Let v = 480 - z. Let b(k) = -k**3 - 4*k**2 + 3. What is the remainder when v is divided by b(-4)?
2
Suppose -4*o + 2463 = 5*i, 74*i - 71*i - 2*o - 1491 = 0. What is the remainder when i is divided by 47?
25
Let r be -9*1/((-3)/2). Let i(a) = -a**3 + 8*a**2 - 4*a - 29. Suppose -2*m + 225 = m. What is the remainder when m is divided by i(r)?
18
Let l be (-4 + 15/2)*(0 - -2). Suppose -u = -l + 5. Suppose u*p + 3*p - 115 = 0. What is the remainder when p is divided by 12?
11
Let y(g) be the second derivative of 55*g**3/3 - 8*g**2 + 4*g. Let u be y(-19). Calculate the remainder when u/(-15) - (-12)/(-30) is divided by 36.
32
Let j(g) = g**3 - 8*g**2 - 11*g - 5. Suppose 671 = 10*n + 51*n. What is the remainder when j(10) is divided by n?
8
Suppose -4*t + 6*t + 6 = 0. Calculate the remainder when -938*(-7)/56 + t/(-4) is divided by 30.
28
Suppose 15*o + 134 = 299. Let f be ((-4)/(-6))/(1/3). What is the remainder when 123*(f - (-5)/(-3)) is divided by o?
8
Let v(g) = -50*g - 149. Let x(y) = -25*y - 74. Let k(t) = 4*v(t) - 7*x(t). What is the remainder when k(-5) is divided by 21?
5
Let c(g) = -54*g. Let u be 6/18*6/(-2). Suppose -40 = f - 5*f - o, 3*f = -3*o + 21. Calculate the remainder when c(u) is divided by f.
10
Suppose h = 4*c + 65 - 19, 0 = 4*h + 4*c - 104. Calculate the remainder when 59 is divided by h.
29
Suppose -5*n + 63 = 2*n, -3*b + 264 = 5*n. What is the remainder when 1085 is divided by b?
63
Let h(v) = 2*v - 9. Let w be h(7). Suppose 1 = -w*q + 66. Suppose 8*y = 320 - 136. What is the remainder when y is divided by q?
10
Suppose -6*r + 4*o + 324 = -10*r, 3*r + 4*o + 243 = 0. What is the remainder when ((-2133)/r)/(1/3) is divided by (9/(-6))/(3/(-10))?
4
Let w = -329 + 254. What is the remainder when (-3 - w/20) + (-836)/(-16) is divided by 6?
5
Suppose 0*d + 250*d - 14144 = 42*d. What is the remainder when 137 is divided by d?
1
Suppose -r + 8 = -8. Let q = -68 - -125. Let y = q + -28. What is the remainder when y is divided by r?
13
Suppose -173*a - 91*a = 56*a - 9600. Let m = 27 - -57. Calculate the remainder when m is divided by a.
24
Let l(y) = y**3 + 41*y**2 - 42*y + 126. Let i(r) = -r**3 + r**2 - 2*r - 42. Let u be i(0). Calculate the remainder when l(u) is divided by 33.
27
Let g = 221 + -683. Let j = 521 + g. Calculate the remainder when 469 is divided by j.
56
Let m(r) = 5*r - 36. Suppose 89 = -12*a + 245. Suppose c = 225 - 24. What is the remainder when c is divided by m(a)?
27
Suppose 0*m = 2*m + 577 - 827. What is the remainder when m is divided by 0/(1*-2) - -16?
13
Calculate the remainder when 17156 is divided by (-671656)/(-5192) + 4/(-11).
128
Suppose -2*j = 2*g + 8, -j = 6*g - g + 40. Let m be (-5 + (-951)/g)*6. What is the remainder when ((-44)/(-6))/(-11) + m/6 is divided by 17?
15
Let c(z) be the first derivative of 11*z**3/3 + z**2/2 + z + 7. Let h = 3400 + -3353. Calculate the remainder when c(4) is divided by h.
40
Suppose -2*s - 5*f = -11898, 0 = s + f + f - 5950. Suppose 31*n - 20400 = -s. What is the remainder when n is divided by 13?
11
Calculate the remainder when 431 is divided by (-111)/407 + (-600)/(-22).
26
Suppose -25*l = -9*l - 64. Suppose 0 = l*p - v - 19, 5*p = 18*v - 15*v + 15. Let b = -41 + 58. What is the remainder when b is divided by p?
5
Suppose -130 = -61*k + 51*k. Suppose k*a + 402 = 19*a. Calculate the remainder when a is divided by 36.
31
Suppose -5*p + 7422 = 5*f + 547, 2*f - 19286 = -14*p. What is the remainder when p is divided by 46?
44
Let j be ((-18)/(-21))/((-12)/(-924)). Suppose -208 = j*y - 82*y. Calculate the remainder when 584 is divided by y.
12
Let m(u