be f(-11). Suppose k = -4*p - d - 1218, d = -5*p - d - 1524. Calculate the remainder when 52 is divided by -5 + (-171)/(-33) - p/22.
10
Let h = 678 - 473. Let s = h - 130. Calculate the remainder when s is divided by 31.
13
Suppose 5*k = l - 598 + 9916, 9*k - 16750 = 5*l. Calculate the remainder when k is divided by 143.
6
Let h(t) = t**2 + 7*t + 89. Suppose -13*k - 15 = -12*k. What is the remainder when h(k) is divided by 105?
104
Let z be (-3)/2*(93/(-9) - 1). Suppose -z*c + 50 = -7*c. Suppose 110 = c*s - 205. What is the remainder when s is divided by 22?
19
Calculate the remainder when 4/((-8)/1829)*(-7)/14*4 is divided by 6.
5
Suppose -2*i - 125 = -3*g - 61, -4*i + 132 = 4*g. Suppose 148 = 2*d - 3*d. Let n = d - -223. What is the remainder when n is divided by g?
23
Suppose -112*y = -87*y - 5200. What is the remainder when y is divided by 33?
10
Suppose 5*s - 2119 = 2*c, -2*s = s + 3*c - 1284. What is the remainder when s is divided by 155?
115
Let o = 31330 + -31311. Suppose 4*b + b - k = 345, 4*k = 20. Let a = b - 17. What is the remainder when a is divided by o?
15
Let r(o) be the third derivative of o**4 - 13*o**3/6 + 23*o**2. Calculate the remainder when 26 is divided by r(1).
4
Suppose 2*h - 1135 - 65 = 0. Suppose -18*p - 58*p + 2562 + 2530 = 0. What is the remainder when h is divided by p?
64
Let p(g) = 12*g - 1. Suppose d + 3*d - 4*b = 556, -275 = -2*d + b. What is the remainder when d is divided by p(2)?
21
Suppose 162*x - 2*r + 35 = 163*x, -104 = -3*x - 5*r. What is the remainder when ((-137)/3)/(5/(-15)) is divided by x?
5
Let m = -5514 - -5529. Calculate the remainder when 89 is divided by m.
14
Let z = -24 - -55. Suppose 4*j = -0*j - 20. Let k(p) = -6*p - 14. Calculate the remainder when z is divided by k(j).
15
Let n = 31379 - 30374. Calculate the remainder when n is divided by 33.
15
Let z(t) = -2*t. Suppose 0 = -4*d + 2*y - 4059 + 1223, 4*d = 3*y - 2834. Let w = 723 + d. What is the remainder when w is divided by z(-4)?
5
Let j = -188 - -277. Suppose 7*d = 206 + 116. What is the remainder when j is divided by d?
43
Suppose 71*u - 4325 = -6*u - 2246. Calculate the remainder when 1501 is divided by u.
16
Suppose 10*b = 5*b - 3*i + 101, 0 = 2*b - 3*i - 32. Calculate the remainder when 0 - (5 + 2) - 7/(-1) - -358 is divided by b.
16
Let l(d) = -d**3 + 5*d**2 + 13*d + 5. Let w be l(7). Let c be (4/w)/((-447)/(-147) + -3). Let u = c + 91. What is the remainder when u is divided by 11?
9
Let s(x) = x**3 + 25*x**2 - 116*x + 24. Let h be s(-29). Suppose h*n = -76 + 652. What is the remainder when 77 is divided by n?
5
Let t(r) = -4*r + 125. Let f(m) = -3*m + 82. Let k(l) = 8*f(l) - 5*t(l). What is the remainder when k(-19) is divided by 25?
7
Let j = -25153 + 29268. Calculate the remainder when j is divided by 28.
27
Let w = -11093 + 11125. What is the remainder when 6015 is divided by w?
31
Suppose 48*n - 66*n + 1692 = 0. What is the remainder when n/2 + 10*2/20 is divided by 27?
21
What is the remainder when 5/(15/2094) - (-11 + 11) is divided by 5?
3
Let n(z) = -10 + 4 + 6*z + 2. Suppose 20*p - 1035 - 65 = 0. What is the remainder when p is divided by n(3)?
13
Suppose -4*t + 8*t = 4*b - 324, -3*b - 4*t = -285. What is the remainder when 271 is divided by b?
10
Let o(z) = -2*z**2 - 11*z + 1371. Calculate the remainder when o(-28) is divided by 32.
15
Suppose 4*o - b - 79993 = 0, -1166*b + 19993 = o - 1168*b. What is the remainder when o is divided by 73?
70
Suppose -33*t + 1182 = 27. Calculate the remainder when 488 is divided by t.
33
Suppose -5*g + 362 = a - 0*a, 5*g - 370 = -5*a. Calculate the remainder when g is divided by (-2*2/12)/(59/(-5133)).
14
Suppose -2*h = 2*z + h - 2, 4*z + h + 16 = 0. Let a(v) = 2*v**2 + 4*v + 4. Calculate the remainder when a(5) is divided by 6*(z + (-38)/(-4) + -2).
14
Let r = -14 + -151. Let l = r - -175. Let w = 15 + 3. Calculate the remainder when w is divided by l.
8
Let x be (78/(-4))/((-27)/54). Suppose x - 89 = -2*w. Let m(o) = o**3 + 4*o**2 - 5*o + 7. What is the remainder when w is divided by m(-5)?
4
Suppose p + 0*p = 93. Let v = -2041 + 2073. Calculate the remainder when p is divided by v.
29
Let w(h) = h**2 + 4*h + 3. Let g be w(-3). Let y = g - -1. What is the remainder when 49 is divided by 21 + (y - (-1 + 6))?
15
Let c = 54 - 46. Suppose -4*b + c = -28. Calculate the remainder when 239 is divided by b.
5
Let k(m) = 2*m**2 - 127*m - 1488. Calculate the remainder when k(-11) is divided by 11.
8
Let s(y) = y**2 + 3*y - 6. Let c be s(3). Suppose c*p - 2*k - 181 = 7*p, 0 = 5*p - k - 183. Calculate the remainder when p is divided by 1 + (-19)/(1 - 2).
17
Suppose 0 = 4*m + 2*b, 0 = 5*m - b + 2*b - 6. Suppose m*n + 18 = -4*x, -2 = x - 0. What is the remainder when 3/n + (-4942)/(-70) is divided by 12?
10
Suppose 51 = -3*g + 5*a, -68 = 4*g - a - 4*a. What is the remainder when 156 is divided by (4 - 1) + -4 - g?
12
Let z(y) = y**2 - y - 5. Let b be ((-99)/(-132))/((-4)/32). Let s(w) = -51*w - 265. What is the remainder when s(b) is divided by z(6)?
16
Let y(g) = 9*g**2 + 7*g + 1. Let i be (-15)/30*((-2 - -1) + -3). What is the remainder when 253 is divided by y(i)?
49
Suppose -63 = 5*q + 162. Let c = -19 - q. Calculate the remainder when c is divided by 13.
0
Suppose 14221 = -10*p + 14*p - 5*r, p + 5*r = 3549. What is the remainder when p is divided by 1182?
8
Calculate the remainder when 28/(-2) - -488 - -7 is divided by 55.
41
Let o(f) = -f**3 + 6*f**2 - 3*f - 1. Let r(n) = -2*n**2 + 228*n - 5521. What is the remainder when o(5) is divided by r(79)?
0
Suppose -246 = -8*b - 1142. Let l be 2/(-13) + b/(-52). Suppose 5 = l*o + 1. What is the remainder when 8 is divided by o?
0
Suppose 28*o = 8*o + 8420. Suppose 0 = 3*c + n - 0*n - 252, 5*c = -2*n + o. What is the remainder when c is divided by 28?
27
Suppose 5*a + x = 1256, 3*a + 9*x - 748 = 14*x. What is the remainder when a is divided by 21?
20
Suppose 0 = 3*b - 2*s - 159, 0 = -4*b - 5*s + 123 + 112. Calculate the remainder when (-703)/(-7) + 32/56 + 0 is divided by b.
46
Let y(j) = -j + 10. Let s(w) = 5*w**2 + 78*w - 9. What is the remainder when s(-19) is divided by y(-10)?
14
Let d be 7 - 8 - ((-48)/4)/4. Suppose z - 2*z = 5*u, 0 = -2*z - 3*u. Suppose z = -d*v + 20. Calculate the remainder when 15 is divided by v.
5
Let m(u) = 2*u**3 + 9*u**2 + u + 9. Let k be m(-7). Let f = k - -303. Calculate the remainder when 297 is divided by f.
57
Let h = 20748 - 20716. What is the remainder when 1166 is divided by h?
14
Suppose -8*l + 3*f + 57 = -7*l, -3*f = -3*l + 153. Calculate the remainder when (-4)/(-66)*-3 + 32472/242 is divided by l.
38
Suppose 4*v = 3*l + 203, -3*v = -l + 63 - 209. Suppose v*y = 43*y. Calculate the remainder when 135 is divided by 35 - (y - (-2 - -1)).
33
Let r = -8617 + 8702. What is the remainder when 1949 is divided by r?
79
Let j = -39 + 41. Suppose -53 = -5*k + 6*g - 2*g, 13 = k - j*g. Let v = 36 + -21. What is the remainder when v is divided by k?
6
Suppose 2*h = -h + 6. Suppose -230*d + 168*d - 209*d = -813. Suppose -22 = h*n - 4*t - 132, d*n - 159 = 3*t. What is the remainder when 202 is divided by n?
49
Calculate the remainder when 3014 is divided by (-9)/(-6) - (1398/(-28) - 64/112).
50
Let p(k) = -783*k + 805. Calculate the remainder when 2947 is divided by p(1).
21
Let l(v) = 3*v**2 - 103*v - 801. Calculate the remainder when l(-8) is divided by 7.
5
Suppose -c - 4*n + 61 = -12, -248 = -4*c - 5*n. Let s be 32 - (-3 + 0/(6 - 5)). Suppose -s*h + 948 = 248. Calculate the remainder when c is divided by h.
17
Let d(a) = 5*a**2 - 3. Let q = 300 - 297. Suppose 16 = q*n - 11. Calculate the remainder when d(-3) is divided by n.
6
Let q(w) = -3570*w - 46 + 3550*w - 30 + 16*w**2 + 6*w**3 - 5*w**3. What is the remainder when q(-16) is divided by 35?
34
Let k(d) = 2*d**2 - 53*d - 21. Let c be k(27). Suppose 488 = -c*n + 1796. Calculate the remainder when n is divided by 10.
8
Suppose 4*o - 5*f = 14, 4*o - 4*f + 5 = 17. What is the remainder when 489 is divided by -3 - (o + -5 - (11 + 70))?
79
Suppose -3*p + 5*p = -4*w + 208, w = -4*p + 416. What is the remainder when 435 is divided by p?
19
Suppose 20 + 8 = -4*x + 2*a, 5*a + 21 = -3*x. Let d = -31517 - -31567. What is the remainder when d is divided by -1 - -4*x/(-2)?
