ded by j.
15
Let k(n) = -2*n**2 - 65*n - 407. What is the remainder when k(-13) is divided by 42?
16
Let v(p) = -5*p**2 - 40*p - 31. What is the remainder when 582 is divided by v(-6)?
2
Suppose 3*s - 9 - 8 = -5*h, -3*s + 10 = -2*h. Suppose b - s*z - 270 = 0, -3 = -3*z + 3. Calculate the remainder when b is divided by 56.
54
Suppose 3*v + 5*z = 178, 5*v - 1112 + 809 = -2*z. Calculate the remainder when v is divided by 2 + -1 - (-20 - 0).
19
Suppose 0*r + 3*r = 114. Let j be 5/(-1)*1 - (15 + -17). Let h = r - j. Calculate the remainder when h is divided by 14.
13
Suppose 5*q + 311*z - 65 = 316*z, 27 = 2*q - z. Calculate the remainder when 601 is divided by q.
13
Let f(c) be the third derivative of -11*c**4/4 + 3*c**3 - 89*c**2. Calculate the remainder when f(-2) is divided by 26.
20
Let w(b) = 13 + 0 - 2457*b - 3 + 2456*b. Calculate the remainder when 47 is divided by w(3).
5
Suppose -4*s + 26 + 94 = 0. Calculate the remainder when 56 is divided by s.
26
Let h(l) = -l**3 + 33*l**2 + 3*l - 73. Let i be h(33). Let g = 50 - i. Calculate the remainder when 94 is divided by g.
22
Let k be -1*(0 - (-107)/2)*2. Let i = 111 + k. Suppose i*q - 68 = -5*h, -q = 3*q + 3*h - 60. Calculate the remainder when q is divided by 5.
2
Let z = 114 + -39. Suppose 0 = 26*u - 29 - z. What is the remainder when 13 is divided by u?
1
Let t(u) = u**2 - u + 3. Let l be (8 - 2) + (-28)/(-4) + -3. Let w(o) = -o**2 + 12*o - 9. What is the remainder when w(l) is divided by t(2)?
1
Suppose 0 = v + 5*k - 7, 5*k = -v + 5*v + 22. Let c(n) = -n**3 - 2*n**2 - 4*n + 7. Suppose -51 = u - 4*u. Calculate the remainder when c(v) is divided by u.
11
Let v(q) = -q**3 + 4*q**2 - 7*q + 30. Let h(u) = 12*u - 3. Calculate the remainder when h(3) is divided by v(3).
15
Let r(x) = 3*x + 34. Let f be r(-8). Let m be (25 + -20)*14/f. Suppose m*k = k + 30. What is the remainder when k is divided by 2?
1
Let t(r) = -6*r + 10. Let o(p) = -7*p + 10. Let n(y) = 5*o(y) - 6*t(y). Suppose -49 - 21 = -7*i. What is the remainder when i is divided by n(13)?
1
Suppose -3*a - 5*a = 0. Suppose a = -4*x + 5*x - 132. Suppose 13*b + x = 17*b. What is the remainder when b is divided by 7?
5
Suppose 2*f + 4*a - 4 = 0, f - 10 = a + 1. Let m be ((-6)/36*-9)/((-6)/f). What is the remainder when m/(-6) - (-105)/9 is divided by 2?
0
Suppose -3*i - 15 = 0, -428 = -4*c + 17*i - 21*i. What is the remainder when 423 is divided by c?
87
Suppose -8*t = 40, 2*x = -217*t + 220*t + 91. Calculate the remainder when 299 is divided by x.
33
Let m(f) = -27*f**3 - f - 1. Let x(n) = 5*n + 101. Let d be x(-17). Suppose 26 + d = 3*l. Calculate the remainder when m(-1) is divided by l.
13
Let c = 28 + -38. Let u be 25/50 + c/(-4). Suppose -u*s = -86 - 49. What is the remainder when s is divided by 24?
21
Suppose 2*n + 2*a = 4*n - 3286, 5*n + 2*a = 8229. Calculate the remainder when n is divided by 55.
50
Let z = -880 + 889. Calculate the remainder when 193 is divided by z.
4
Suppose -4*t = 2*y - 182, -33*t + 37*t = -y + 93. Let a be 10/(-1 + (-7)/(-9)). Let u = y + a. What is the remainder when 131 is divided by u?
43
Let h(p) = 5 - 6 + 4*p**2 - p - 3*p**2 - 4 + 4. Let d(b) = -b**3 - 2*b**2 + b. Let g be d(1). Calculate the remainder when h(g) is divided by 1.
0
Suppose 24*k - 136 = 200. Calculate the remainder when 316 is divided by k.
8
Suppose -4*f + 215 - 15 = 0. Let q = -38 + f. Calculate the remainder when (452/(-6))/(q/(-18)) is divided by 57.
56
Let c(n) = 13*n**3 - 3*n**2 + 5*n - 4. Suppose b + 2*b - 12 = -3*l, 0 = -5*b - 4*l + 17. What is the remainder when c(b) is divided by 2/11 - 825/(-121)?
4
Let o(b) = -2*b + 6. Let a(w) = 2*w**3 - 24*w**2 - 2*w + 22. Let m be a(12). Calculate the remainder when o(-5) is divided by (-2)/(-16) + 31/8 - m.
4
Let w be 20/(8/(-60) - 14/(-180)). What is the remainder when (-864)/w*25/2 is divided by 16?
14
Suppose 83*l - 14 = -24*l + 200. What is the remainder when 589 is divided by l?
1
Let l = -18211 + 19212. Calculate the remainder when 6013 is divided by l.
7
Let j(v) = -6*v - 8. Let h be j(-10). Suppose -2*r + 54 + h = 0. What is the remainder when r is divided by ((-6)/4)/((-2580)/(-144) - 18)?
17
Let u = -35 + 39. Suppose -3*h = 3*w + 2 + 1, 0 = u*w - h - 16. Suppose 28 = -w*x + 4*x. What is the remainder when x is divided by 10?
8
Let l = -676 - -278. Let o = -229 - l. What is the remainder when o is divided by 10?
9
Let v be ((-42)/8 - -1)/((-3)/12). Let l(m) = 6*m + 113. Calculate the remainder when l(v) is divided by 12.
11
Suppose -300 = -d - 4*d. Suppose 7*o - 2*o - d = 0. Let x = -323 + 392. What is the remainder when x is divided by o?
9
Let c be -40*1*75/(-12)*1. Let s = 375 - c. What is the remainder when s is divided by 21?
20
Calculate the remainder when 204 is divided by ((-15)/9)/(29/87) + 26.
15
Let a = 44 + -70. Let k be 82/a - 18/(-117). What is the remainder when ((-12)/(-8))/(k/(-116)) is divided by 20?
18
Let g(a) = -47*a + 339. Calculate the remainder when 1067 is divided by g(7).
7
Let k(t) = -t**3 - 11*t**2 - 14*t - 1. Let b be k(-7). Let u = b + 189. What is the remainder when 2/15 - 2/(u/(-3279)) is divided by 38?
35
Let j(o) = o**3 + 10*o**2 - 12*o - 38. Let i be (-4 + 5)*-14 + (-10)/(-2). What is the remainder when j(i) is divided by 14?
11
Let g(s) = -3*s**3 + 9*s**2 - 2*s + 6. Let a be g(5). Let m = a + 287. What is the remainder when m is divided by 45?
43
Suppose 24*h = 22*h + 760. Let y = h - 328. Calculate the remainder when y is divided by 30.
22
Let x be (((-5)/3)/1)/(2/24). Calculate the remainder when x/(-5) - 2 - -37*2 is divided by 39.
37
What is the remainder when 219*6 + 4/((-68)/(-187)) is divided by 15?
5
Suppose 3*h + 5*a - 15949 = 0, -85*h + 80*h + 5*a = -26595. What is the remainder when h is divided by 1767?
17
Suppose 21*u - 4600 - 4157 = 0. Calculate the remainder when u is divided by 60.
57
Suppose 620 + 223 = 4*y + b, -y + 210 = b. What is the remainder when y is divided by (19 + (-338)/(-13))*6*3/30?
22
Let s(u) = -2*u**3 + 72*u**2 + 43*u + 131. What is the remainder when s(36) is divided by 12?
11
Calculate the remainder when (-52)/(-39)*6909/14 is divided by 128.
18
Let q(z) = -23*z + 216. Suppose -16*h = -21*h + 4*g + 61, 5*h + g - 41 = 0. What is the remainder when 125 is divided by q(h)?
8
Let d = -3701 - -3779. Suppose -3*m - 34 = -4*w, -3*w = 4*m - 0*w + 12. Let z(r) = -r**3 - 4*r**2 + 10*r + 8. What is the remainder when d is divided by z(m)?
18
Calculate the remainder when 688 is divided by (1/6)/((-93)/(-49662)) - 2*-1.
51
Let r = -16112 - -16284. Calculate the remainder when 383 is divided by r.
39
Suppose 6*i = -7*i + 1157. Suppose -i + 2 = -w. Calculate the remainder when w is divided by 25.
12
Suppose -23*d = -904 - 1028. Calculate the remainder when 53 is divided by (d/(-9))/((-4)/6).
11
Suppose 92*w + 2835 - 7310 = 6841. Let d(y) = y**2 + 8*y + 3. What is the remainder when w is divided by d(-12)?
21
Calculate the remainder when (2860/88)/(25/260) is divided by 63.
23
Let l be -28*(18/(-4) + 4). Suppose l*x - 447 = 11*x. Suppose -6*q = -7 - x. Calculate the remainder when q is divided by 4.
2
Let l(p) = -p**2 - 4*p + 23. Let r be l(-6). Suppose r*u - 8*u - 114 = 0. Let i(y) = 15*y**3 - y**2. Calculate the remainder when u is divided by i(1).
10
Suppose -22*w = -34*w + 96*w - 974736. What is the remainder when w is divided by 55?
54
Let f be ((-7)/(21/(-362)))/(6/9). Let l = 283 - f. Suppose 0 = 10*x - 9*x - l. What is the remainder when x is divided by 21?
18
Let u = -13303 + 13511. Calculate the remainder when 3325 is divided by u.
205
What is the remainder when 400 is divided by -35*(89 + -75)*2/(-20)?
8
Suppose 20 - 5 = 3*s. Suppose -s*i + 5*c = -0*i - 315, 4*i = 3*c + 255. Let x(a) = 2*a**2 - 39*a - 287. What is the remainder when i is divided by x(-6)?
9
Let g(b) = 351*b + 1770. What is the remainder when 4270 is divided by g(-5)?
10
Suppose -5*b = p - 15 - 9, -5*b = -2*p + 18. Suppose 0 = 21505*c - 21488*c - 918. Calculate the remainder when c is divided by p.
12
Suppose j = 5*j - 1744. Suppose 27*c - 23*c = j. Let s(l) = 9*l - 17. What is the remainder when c is divided by s(5)?
25
Let j(d) = 3*d + 23. Suppose 3*g - g + 16 = -2*p, 5*p - 5 = 4*g. Suppose 124 = -8*k + 10*k. What is the remainder when k is divid