by z.
5
Let d(r) = -172*r - 743. Calculate the remainder when 1752 is divided by d(-5).
114
Let c(i) = -5*i - 2. Let z(a) = -3*a**2 + 3*a - 1. Let w be z(1). Let j be (w + -1)/((-18)/(-36)). Calculate the remainder when c(j) is divided by 7.
4
Suppose -10*q + 14*q = 1520. Suppose 12*j = -q - 352. Let m = j - -116. What is the remainder when m is divided by 10?
5
Let z = -11 - -14. Let s = -34 - -32. What is the remainder when 25 is divided by 3/z + s + 1 - -13?
12
Suppose -5*j = -210 - 0. Suppose 0 = -6*r + 72 + j. Calculate the remainder when 226 is divided by r.
17
Let x(g) = g**3 + g**2 - 18*g + 14. Let w be x(-6). Let q = w - -91. What is the remainder when 35 is divided by q?
2
Let v(c) = 23*c**2 - 20*c - 37. What is the remainder when 99 is divided by v(-2)?
4
Suppose 574 = 158*j - 739 + 207. Calculate the remainder when 35 is divided by j.
0
Let t(a) be the third derivative of -a**5/60 + a**4/12 + 23*a**3/6 - a**2 + 5. What is the remainder when 38 is divided by t(5)?
6
Let r = 10235 - 7074. What is the remainder when r is divided by 93?
92
Let x(u) = u**3 - 8*u**2 + 3*u + 22. Let v be x(7). Let l(j) = j**3 + 5*j**2 - 11*j - 13. What is the remainder when 32 is divided by l(v)?
15
Let n(x) = -16*x**2 - 186*x - 106. Calculate the remainder when 685 is divided by n(-11).
1
Calculate the remainder when 87 is divided by (-2 + (-100)/18)/(266/(-1197)).
19
Suppose -3*v - 26 = 52. Let l(z) = -22*z - 182. Let i be l(-7). Let q = v - i. Calculate the remainder when q is divided by 1.
0
Suppose 0 = -5*k + 6*k - 18. Let m = 23 - k. Suppose -m*n + 564 = -3*n. What is the remainder when n is divided by 57?
54
Let u = -1156 + 1634. Let z = u - 443. What is the remainder when 134 is divided by z?
29
Suppose -13*s + 6 = -15*s + 822. What is the remainder when s is divided by 82?
80
Let q(n) = 4*n**2 + 4*n - 1. Suppose 14*w = 19*w - 15. Suppose -w*u + 63 = -2*u. Calculate the remainder when u is divided by q(2).
17
Let h = -1861 + 1902. Let y(b) = -b**3 + 6*b**2 - 3*b - 4. Calculate the remainder when h is divided by y(3).
13
Let a = 77 + -35. Suppose -3*l = 5*b + 17 + a, 5*l + 4*b + 120 = 0. Let d = -12 - l. What is the remainder when 25 is divided by d?
9
Let d = 4980 - 4153. What is the remainder when d is divided by 52?
47
Let t(w) = 2*w**3 + 8*w**2 + 5*w + 18. Let u be t(-4). What is the remainder when (-4)/(-44)*u + 2472/44 is divided by 23?
10
Calculate the remainder when (-6 - 7 - -1*(-7 - -14)) + 412 is divided by 57.
7
Suppose -2*j + 5*j + 87 = 0. Let w = -24 - j. Let f = 26 - w. What is the remainder when 40 is divided by f?
19
Suppose -21*p + 33 + 51 = 0. Let d = -25 + 28. Suppose -d*f - n + 146 = 0, -n = -0*n + 1. What is the remainder when f is divided by p?
1
Suppose -208 + 215 = -x - 3*a, -5*x + a = -45. What is the remainder when 3440 is divided by x?
0
Suppose 3*z = -y - 135, 2*z + z = y + 159. Let g = y + 210. Let p = 5 - -17. Calculate the remainder when g is divided by p.
19
Let a be 3 + 1 + -1 + -7. Let d = 0 - a. Suppose -310 = -5*x + 5*k - d*k, -3*k - 237 = -4*x. What is the remainder when x is divided by 11?
8
Suppose 7*m = -2*b + 12*m - 653, -1700 = 5*b + m. Let z = b - -357. Calculate the remainder when 31 is divided by z.
13
Let r(z) be the first derivative of -z**4/2 - 7*z**3/3 - 3*z**2 - 4*z + 7. Calculate the remainder when r(-5) is divided by 34.
33
Let s(r) = 37*r**2 - 94*r + 394. Let l(a) = 7*a**2 - 19*a + 79. Let x(y) = 11*l(y) - 2*s(y). Calculate the remainder when x(5) is divided by (6/2)/((-2)/(-6)).
6
Suppose 0 = -3*h, s + 2*h + 0*h = 538. Calculate the remainder when s is divided by 17.
11
Let l = -1943 - -6102. Suppose -851 - l = -5*t. What is the remainder when t is divided by 59?
58
What is the remainder when 299 is divided by ((-990)/(-693))/((-2)/(-56))?
19
What is the remainder when (-8)/(-28)*(7 - -96)*14 is divided by 80?
12
Suppose -50*l = -40*l - 2060. Suppose 1235 - l = 49*c. Calculate the remainder when c is divided by 7.
0
Suppose 2*q + q + 2*m = 131, q - 27 = -4*m. Suppose -32 = -8*h - 0*h. Calculate the remainder when q is divided by 6/h + 102*(-5)/(-60).
7
Suppose 0 = 7*n - 206*n - 20*n + 37449. Calculate the remainder when n is divided by 105.
66
Calculate the remainder when 707 is divided by 348/30 + (-4)/(60/9).
3
Let k(u) = -u**3 + 7*u**2 + 9*u - 5. Let f(o) = -6*o**2 + 2*o - o**3 - 3*o**2 + 15*o**2 - 7 + 3*o**2. What is the remainder when f(9) is divided by k(8)?
2
Let y = 200 + 7173. What is the remainder when y is divided by 16?
13
Suppose -p - c + 325 = 271, c = 4*p - 216. What is the remainder when 264 is divided by p?
48
Suppose -2*x + 6*x = 248. Suppose -6*y = 4*k - 16, -475*k + 480*k - 71 = y. What is the remainder when x is divided by k?
10
Suppose -2*m + 484 = -3*r + 4*r, 3*r - 3*m - 1461 = 0. Let o = r - 197. What is the remainder when o is divided by 58?
57
Suppose -3*m + 128 = 3*q - 8*m, -4*m = -2*q + 88. Suppose 13*i = 169 + 689. What is the remainder when i is divided by q?
30
Suppose 0 = -3*a + 12 + 69. Suppose 0*k - a = -3*k. Let r(p) = 2*p**2 - 378*p - 3548. Calculate the remainder when r(198) is divided by k.
7
Let c(j) = 350*j**2 + 17 - 192*j**2 + 2*j**3 - 188*j**2 + 28*j. Let g = -41 - -69. What is the remainder when g is divided by c(14)?
11
Suppose -122*c + 8530 - 2918 = 0. Calculate the remainder when 1190 is divided by c.
40
Suppose 0 = -4*m + 25*y - 22*y + 198, -10 = -5*y. Calculate the remainder when 2393 is divided by m.
47
Suppose 69*x - 2054 = -10*x. What is the remainder when 117 is divided by x?
13
Suppose -l + 2*y = -82, 3*l + 3*y - 50 = 151. Let m = -753 + 962. Calculate the remainder when m is divided by l.
65
Let x(h) = -h**2 - 44*h - 277. What is the remainder when 23 is divided by x(-36)?
1
Let k = -14632 + 14663. Calculate the remainder when 74 is divided by k.
12
Suppose -r - 4*x + 85 = 95, -3*r - 5*x = -5. Calculate the remainder when 826 is divided by r.
6
Suppose 11*j + 5*j + 192 = 0. What is the remainder when 123 is divided by j/(-5)*((-37)/(-3) - -1)?
27
Suppose -170*q = -13312 + 4642. Let c(l) = 10*l - 3. What is the remainder when c(6) is divided by q?
6
Suppose 2*k - 3838 = -5*o + 1062, 2*k = 6*k. Calculate the remainder when o is divided by 109.
108
Suppose 10 = -2*u, 5*m - 5*u + 107 = 9*m. What is the remainder when 35 is divided by m?
2
Suppose 371 = -w - 4*a + 478, -2*a = -2*w + 264. What is the remainder when 472 is divided by w?
91
Calculate the remainder when 728 is divided by (301/3)/((0 - (-2)/3)/2).
126
Let k be (-2)/(-6) - 3584/(-48). Suppose 6*z - k = 99. Calculate the remainder when z is divided by (-770)/(-50) + 2/(-5).
14
Suppose -5*s + 15*m - 210 = 13*m, -5*s - 3*m = 185. Calculate the remainder when 500 is divided by (-74)/(-111) - s/3.
10
Let w = -4 - -119. Let x = -102 + w. Suppose 175 = 3*m - 56. What is the remainder when m is divided by x?
12
Let l be (165/30)/((-1)/(-26)). Let n = l - 101. Let o = -2907 + 2930. What is the remainder when n is divided by o?
19
Suppose 2*q + 32 = q. Let j = q - -71. Let c(x) = x**2 + 117*x - 350. Calculate the remainder when j is divided by c(3).
9
Suppose -3480 = -272*y + 40*y. What is the remainder when 1595 is divided by y?
5
Let x(m) = -2*m**2 - 56*m + 73. What is the remainder when 626 is divided by x(-28)?
42
Suppose 3*l + 5 = 5*o - 6*o, 5*o - 4*l = 32. Suppose 2*c = 5*v + 847, -53*c + 443 = -52*c + o*v. What is the remainder when c is divided by 23?
17
Suppose -t + 1285 = 3*u - 2468, 2*u + 3*t - 2488 = 0. Calculate the remainder when u is divided by 124.
13
Let z(s) = 2*s + 14. Let k = 89 - -1. Suppose 0 = 6*h + 24 - k. Calculate the remainder when 138 is divided by z(h).
30
Let i(r) be the first derivative of r**3/3 - 3*r**2 + 21*r - 81. Calculate the remainder when i(9) is divided by 25.
23
Suppose -2*p + m + 90 = -41, 267 = 4*p - m. What is the remainder when p is divided by 49?
19
Suppose -27*w - 2348 = -2726. Calculate the remainder when 3506 is divided by w.
6
Suppose -296*h + 286*h + 4110 = 0. What is the remainder when 1655 is divided by h?
11
Suppose -366 - 306 = -16*x. Suppose -5*o = -4*w - 174, 92 = 3*o + 5*w - x. Calculate the remainder when o is divided by 8.
6
Let j(f) = f**3 - 34*f**2 + 39*f - 138. Let l be j(33). Suppose -182 = -l*d + 53*d. What is the remainder wh