 Suppose f*n + 2 = 57*n. Calculate the remainder when 15/30 - 143/n is divided by 19.
15
Suppose -3*n + 54 = -3*s, -s = 3*n - 6*s - 46. Suppose n*c - 97 = 21*c. What is the remainder when 387 is divided by c?
96
Let d = 0 + 23. Let y = d + -2. Calculate the remainder when -1 + 62 - -3*(-4)/(-12) is divided by y.
20
Let j(q) = -622*q + 594*q + q**2 - 2 - 15 - 18. What is the remainder when 93 is divided by j(30)?
18
Let x = -46 - -54. Suppose -4*h - x = -z - 2*h, 4*z - h = 25. Let l(d) = -d**2 + 8*d + 8. Calculate the remainder when 39 is divided by l(z).
19
Calculate the remainder when (-22)/2 - (-14 + 10440)/(-13) is divided by 58.
37
Suppose -2*w = 2*u, -w - 15 = -4*u - 0*w. Let v be (-150)/54 + u/((-81)/6). What is the remainder when -51*(((-1)/v)/1)/(-1) is divided by 6?
5
Suppose -12*v - 85 = 5*v. What is the remainder when 167 is divided by 6 - (342/(-6) - v)?
51
Let x = 4023 - 3969. Let z(q) = 3*q**2 - 8*q - 13. Calculate the remainder when z(9) is divided by x.
50
Suppose -j = -5*y + 91, 4*y - 60*j = -54*j + 104. Calculate the remainder when 9754 is divided by y.
13
Suppose -53*f + 44*f + 7590 = 101*f. Calculate the remainder when 666 is divided by f.
45
Suppose 170 - 188 = -2*g. What is the remainder when g is divided by ((-12)/10)/(81/(-270))?
1
Let h(l) = -l**3 + 7*l**2 + 14*l - 60. What is the remainder when 294 is divided by h(5)?
54
Let d(r) = r**2 + r - 6. Suppose -a - 11 = 4*b + 14, -3*a + 2*b - 61 = 0. Let o = -16 - a. Calculate the remainder when 94 is divided by d(o).
22
Suppose -4*k + 2*u + 70 = 0, -k + 45 = 6*u - u. Suppose 3*q - 4*q = -k. Suppose -c + 44 = 3*c. What is the remainder when q is divided by c?
9
Let a(v) = 5*v**2 - 422*v + 294. Calculate the remainder when a(84) is divided by 33.
27
Let p(i) be the first derivative of -6*i**2 + 13*i - 3. Calculate the remainder when p(-14) is divided by 37.
33
What is the remainder when 2022 is divided by 32/304 + 6148/76?
78
Let o be (5 - (-52)/(-12))/(1/3). Suppose 44 = 5*c + l, 0 = -o*c + 5*c + 5*l - 22. Calculate the remainder when 2/7 - 2456/(-28) is divided by c.
7
What is the remainder when 23 + (8 - 9 - -14) is divided by 14?
8
Let n = 135 - 90. Let r = 13 + 4. What is the remainder when n is divided by r?
11
Suppose 3*i - v - 469 = 373, -3*i + 3*v + 840 = 0. What is the remainder when i is divided by 17?
9
Suppose -3241 = -9*m + g, 66*m + 5*g - 715 = 64*m. Calculate the remainder when m is divided by 35.
10
Calculate the remainder when 181 is divided by ((-2)/(-2))/(((-208)/(-1625))/16).
56
Suppose 0 = -5*j - 5*t + 835, -257*t + 5 = -262*t. Calculate the remainder when 1166 is divided by j.
158
Let t = -548 + 1268. What is the remainder when (10 + t/10)*(0 - -1) is divided by 23?
13
Let k(v) = v**2 + 17*v + 42. Let h be k(-4). What is the remainder when 40/h*338/(-8) is divided by 57?
55
Let q(n) = -n**3 + 16*n**2 - 59*n + 2. What is the remainder when 614 is divided by q(8)?
26
Suppose 0 = -j - 3*j + 3*q + 81, -5*q = -j - 1. Suppose 0 = -20*l + j*l - 216. Calculate the remainder when l is divided by 5.
4
Suppose 172*k - 168 = -4*w + 175*k, -5*w + 210 = 5*k. Calculate the remainder when 119 is divided by w.
35
Suppose -9*t + 51 = -30. Let i be -55*(12/(-15))/2. Calculate the remainder when t is divided by (14/(-4))/((-11)/i).
2
Let w(l) = l**3 + 8*l**2 + 3*l - 17 - 18*l - 1 - 9. Calculate the remainder when 78 is divided by w(-9).
24
Suppose -1600 = -141338*i + 141258*i. Let b = -29 - -63. What is the remainder when b is divided by i?
14
Suppose 2*r - 160*x - 24 = -156*x, -3*x = -2*r + 22. Calculate the remainder when 11301 is divided by r.
5
Let f(p) = -2*p**3 + 11*p**2 - 3*p - 21. Let t(r) = -62*r + 66. Let z be t(1). Let j(q) = 8*q**2 + q + 4. Calculate the remainder when j(-3) is divided by f(z).
13
Let v(j) = 5*j**2 - 21*j - 69. Let m be v(14). Suppose -4*n = -733 + m. Calculate the remainder when 86 is divided by n.
28
Let z = 244 + -237. Let s = z + 15. Let a = 138 - 57. Calculate the remainder when a is divided by s.
15
Let t(q) = 202*q**3 + 3*q**2 - 3*q + 1. Let k be ((-11)/(198/(-27)))/(6/4). What is the remainder when t(k) is divided by 51?
50
Suppose -2*a + 50 = -3*a - 2*j, a + 3*j + 45 = 0. Calculate the remainder when a/(-120)*(0 + 286 - 0) is divided by 21.
17
Let w = 67 + -48. Let z(s) = -3*s**2 + 78*s - 135. What is the remainder when w is divided by z(2)?
1
Suppose -4*n - 12 = -4*t, -2*t + 4*n = 6 - 20. Let b(a) = -20*a + 1. Let m be b(t). Let s = 40 - m. What is the remainder when 54 is divided by s?
16
Let q(x) = -2*x**2 + 6*x - 15. Let m be q(6). Let l(z) = -z**2 + z - 73. Let u be l(0). Let n = m - u. Calculate the remainder when n is divided by 4.
2
Let u = 30 + 21. Suppose i = 12*i - 594. Suppose -u*r = -i*r + 57. Calculate the remainder when r is divided by 11.
8
Let t = 552 + -361. Suppose -59*d - 53*d + 3160 = -33*d. What is the remainder when t is divided by d?
31
Suppose 5*g + 126 = -4*g. Let r(p) = -14*p - 135. Calculate the remainder when 304 is divided by r(g).
60
Suppose 25*a + 63*a = -79*a + 221108. What is the remainder when a is divided by 1295?
29
Suppose -2*x + 166 = -3*g, -g - 2*x - 56 = -3*x. Calculate the remainder when (998/10)/(g/(-270)) is divided by 50.
49
Let g(f) = f**3 + 2*f**2 - 4*f - 3. Suppose 5*j - 4*p = -0*j + 8, 0 = -2*j - 2*p + 14. Let a = 75 + -62. Calculate the remainder when g(j) is divided by a.
12
Let h = -4083 + 4358. Calculate the remainder when 830 is divided by h.
5
Let x be 2145/(-91) + 12/21. Let u(y) = -y**2 - 22*y + 40. What is the remainder when 49 is divided by u(x)?
15
Let x(p) = p**3 - 26*p**2 - 8*p + 70. Let t be x(25). Let c = -742 - t. Calculate the remainder when 116 is divided by c.
12
Let j = -18457 - -18773. What is the remainder when 2201 is divided by j?
305
Suppose -h = x - 10, -8*x + 12*x - 46 = -5*h. Calculate the remainder when h is divided by 5.
1
Suppose -39*f - 1302 = -8985. Let k = -144 - -344. Suppose -13*u + 9*u = -k. What is the remainder when f is divided by u?
47
Suppose 36*j + 21 = 29*j. Let r(h) = 13*h + 60. What is the remainder when r(j) is divided by 19?
2
Let c be ((-10)/6 + 0)/(33/(-396)). Suppose -4*k - c = 0, -a + 114 = -5*k + 46. What is the remainder when 125 is divided by a?
39
Suppose -28*s - 350 + 407 = -699. Let m(y) = 3*y**2 - y + 1. What is the remainder when m(-4) is divided by s?
26
Let j = 27 + -27. Suppose j = l - 0*l + x - 11, 0 = -x - 3. Suppose 5*o - 90 - 105 = 0. What is the remainder when o is divided by l?
11
Let w = -80969 - -81094. Calculate the remainder when w is divided by 1 - (-3 - -5 - 25).
5
Let a = 24 - 14. Let f(g) = -g**2 - 31*g + 216. Let j be f(-35). Suppose -4*n = -8*n + j. Calculate the remainder when n is divided by a.
9
Let z = -9 + 19. Suppose -89*n + 85*n = 4*q - 28, -75 = -5*n + 5*q. What is the remainder when n is divided by z?
1
Let x = -69 + 69. Suppose x = -v + 4*c + 4, -4 = v - 3*v + 4*c. Suppose -705 = -5*q - v*q. Calculate the remainder when q is divided by 36.
33
Let i(l) = 3*l**2 - 70*l + 315. Calculate the remainder when 307 is divided by i(18).
10
Let b = -11660 + 11684. What is the remainder when 105 is divided by b?
9
Let h be 2 - (-4 + 5)*2. Suppose -m + u + u + 19 = h, m = -u + 4. Let d = -63 + 79. Calculate the remainder when d is divided by m.
7
What is the remainder when 10732 is divided by ((-1560)/48)/((-100)/40)?
7
Let x be (-2 + (-21)/(-6))*(-2 - 0). Let v be (0/x - 4/(-16))*-4. What is the remainder when 167 is divided by -1*(-22 - (8/(-4))/v)?
23
Let p(i) = 4*i - 304 - 317 + 564 - i. Calculate the remainder when p(35) is divided by 20.
8
Let d(h) = 2*h**2 + 12*h + 18. Let y be d(-4). Suppose 0 = r - 2*i - 8, y*r - 4 = 3*i - 5*i. Calculate the remainder when 97 is divided by r.
1
Let c be 108/52 + 1/(-13). Suppose -3*g - 156 = -4*k, 7*g - c*g - 88 = -3*k. Calculate the remainder when 104 is divided by k.
32
Let x(p) be the first derivative of 15*p**4/2 + 3*p**2/2 - 3*p + 41. What is the remainder when 82 is divided by x(1)?
22
Let i(x) = x**3 - 58*x**2 + 162*x + 275. What is the remainder when i(55) is divided by 2 + 0 + 7*3?
18
Calculate the remainder when 35*1*(1 + 0) is divided by 255/17 + 654/(-108) + 3/54.
8
Let g(v) = -v - 14. Let n be g(-17). Suppose -32 - 16 = -n*b. Suppose -5*s = -3*s - 20. W