x) = -x**2 - 18*x + 14. Let z be f(-18). Suppose z + 4 = 2*v - 2*l, 4*v - 64 = -3*l. Calculate the remainder when v is divided by n.
1
Suppose -i - 1 = -4. Suppose -4*m - i*c + 131 = 0, m - 35 = -2*c - 6. What is the remainder when 92 is divided by m?
22
Suppose 5*x - 2*i = 2868, -x - 182 + 753 = -3*i. Suppose -1202*d + 1244*d = 336. Calculate the remainder when x is divided by d.
6
Suppose 3*x = 2*k - 159, -k - 2*x + 51 = -46. Suppose 619*n - 608*n - 171 - 170 = 0. What is the remainder when k is divided by n?
25
Suppose 0 = -8*b + 111 - 23. Suppose -48 = -b*y + 645. What is the remainder when y is divided by 8?
7
Let t(z) = 7*z + 132. Suppose -19*b + 195 + 356 = 0. What is the remainder when b is divided by t(-18)?
5
Suppose -17*z + 13*z + 43 = 5*w, 0 = -5*w + 5*z + 25. Suppose -175 = -w*c - 0*c. What is the remainder when c is divided by 10?
5
Suppose -v = 2*r - 7 - 29, 3*r - 4*v = 32. Suppose 5*d + 3*x - 276 = 3*d, 3*d = -2*x + 414. Let b = d + -93. Calculate the remainder when b is divided by r.
13
Suppose -6 = 3*g, -3*x = -x - 4*g - 24. Suppose 15*d - 335 - 65 = 12*d + 4*n, -5*n = 50. Calculate the remainder when d is divided by x.
0
Let f(g) = 75*g**2 - 2020*g - 127. What is the remainder when 13/(3*(-1)/(-3)) is divided by f(27)?
5
Suppose 147*q - 259 - 186 = 731. Let d(n) = -13*n**3 - 1. Let x be ((-2)/4)/((-3)/(-6)). What is the remainder when d(x) is divided by q?
4
Let y be 171/57 + 312*1. Suppose -316*p + 132 = -y*p. What is the remainder when p is divided by 15?
12
Suppose 106*h - 242277 = -140*h + 961647. Calculate the remainder when h is divided by 11.
10
Suppose -6*w + 2*w = 16. Let c = w - -23. Let o(p) = 2372*p + 66424. Calculate the remainder when c is divided by o(-28).
3
Let s(j) = 2*j**2 + 21*j - 33. Let b be s(-10). Suppose -4*y = -328 + 28. Let g = y + b. What is the remainder when g is divided by 19?
13
Let o(i) = -327*i - 6720. What is the remainder when 5729 is divided by o(-21)?
143
Let g(l) = 4*l + 6. Let b be g(-4). Let r = 159 + -114. What is the remainder when r is divided by (8/b)/(-2)*60?
21
Suppose -14*y - 1336 = -7*y - 4157. What is the remainder when 1219 is divided by y?
10
Let b(l) = 30*l + 1. Suppose -298*t = -325*t + 3078. Calculate the remainder when t is divided by b(1).
21
Suppose -4*v + 9516 = 2728. Calculate the remainder when v is divided by 217.
178
Suppose 19*l - 22*l = 5*p - 9, 5*l + 5*p = 15. Suppose 0*i + 5*b - 33 = -3*i, i - l = b. Calculate the remainder when 39 is divided by i.
3
Let u be -774 + 2 + (-10)/(20/(-6)). Let v = 860 + u. Calculate the remainder when 180 is divided by v.
89
What is the remainder when 286 is divided by 171 + -2 - ((-2709)/(-473) + (-9)/(-33))?
123
Suppose -v = -2*a + 265, -25 = 2*a + 5*v - 332. Calculate the remainder when 786 is divided by a.
106
What is the remainder when -3 + 600 - (24 - 18) is divided by 11?
8
Suppose 3*v + x - 360 = 0, x - 295 + 54 = -2*v. Let o = 315 - 195. Suppose 0 = -13*a + 17*a - o. What is the remainder when v is divided by a?
29
Suppose 16 = 2*u - j, 3*u - 63*j = -68*j - 2. Suppose -28 = -u*d + 98. Calculate the remainder when 186 is divided by d.
18
Let p(j) = 91*j + 5413. Calculate the remainder when p(-59) is divided by (-3)/(45/(-24))*5.
4
Suppose -3*p - 1 = -v - 9, 4*p + 4 = 5*v. Let l(r) = r**3 + 16*r**2 + 14*r + 19. Calculate the remainder when l(-15) is divided by p.
2
Suppose -182*g + 2079 = 197*g - 352*g. Calculate the remainder when g is divided by 44.
33
Suppose -23 = -2*y - g + 182, 0 = 5*y + 2*g - 510. Suppose 0 = -5*b - 2*l + 267, 46*l - 94 = -2*b + 42*l. Calculate the remainder when y is divided by b.
45
Let w(f) = f**3 + 17*f**2 + 45*f + 433. Calculate the remainder when 2006 is divided by w(-11).
14
Suppose 0 = 2*n + 4*d - 19 - 31, 2*d = -5*n + 101. Suppose -n*f = -18*f - 5. What is the remainder when (-284)/(-18) + (-8)/(-36) is divided by f?
1
Suppose -31 = -2*z - 2*s + 25, s = z - 28. Let k = 62 - 37. Let l = k - 17. What is the remainder when z is divided by l?
4
Suppose 3*x - 2*x + 3*r - 6 = 0, 0 = -4*x + r - 2. Let z(f) = -f**2 - f + 9. Let p be z(x). Calculate the remainder when -3 - (p/3 - 47) is divided by 14.
13
Let u(t) = -4*t - 11. Let k(c) = c**2 - 5. Calculate the remainder when k(-9) is divided by u(-6).
11
Let n = 4394 - 3967. Calculate the remainder when n is divided by 56.
35
Suppose 2*j - 172 = -3*o + 67, 2*j = 3*o - 259. Suppose -2*g - o + 77 = 0. What is the remainder when 89 is divided by ((-1)/g)/((2 + -4)/(-138))?
20
Let m = -3161 - -3426. Calculate the remainder when m is divided by 76.
37
Let k(q) = 3*q**3 - 16*q**2 + 2*q - 1. Let y be k(5). Let l = y + 29. Calculate the remainder when 89 is divided by l.
11
Suppose g - 4*g + 15 = 0. What is the remainder when 15316/(-4923) + 172/9 is divided by g?
1
Let a(v) = v**3 + 21*v**2 + 37*v + 45. Let o = 117 - 136. What is the remainder when a(o) is divided by 18?
10
Suppose 484*y - 485*y + 3*m + 454 = 0, 5*m - 1250 = -3*y. What is the remainder when y is divided by 15?
10
Let c = 24 - 4. Let l be 2/2 - c/20. Suppose -5*a + l*p + 4*p = -57, -3*p - 45 = -4*a. What is the remainder when 53 is divided by a?
8
Let y = 68 - 45. Suppose -5*r - 49 = -2*x, -3*r = -4*x - r + 74. Let j(q) = 3*q**2 - 44*q - 6. What is the remainder when j(x) is divided by y?
21
Suppose 0 = -3*t - l + 6, -2*l + 4*l = -4*t + 6. Calculate the remainder when 588/(-18)*t/(-2) is divided by ((-5)/(-2))/(4/40).
24
Let c(o) = -o**3 - 6*o**2 - o - 1. Suppose 0 = 2*s + 10, s + 20 = -416*l + 419*l. What is the remainder when c(-6) is divided by l?
0
Let n(y) = 5*y**2 - 8*y - 14. What is the remainder when n(-7) is divided by 1*4/(-14) + (-2712)/(-84) + -3?
26
Let f = 3938 - 1617. What is the remainder when f is divided by 54?
53
Suppose 19*q - 22620 = -5748. Let l = -814 + q. Let w = -29 + 48. Calculate the remainder when l is divided by w.
17
Let s be (-5 - (-63)/12)*16. Suppose s*c = c - 12, 2*w + c = 58. Calculate the remainder when 400 is divided by w.
28
Suppose 134 = 2*f - 598. What is the remainder when f is divided by 10?
6
Calculate the remainder when 1/5 + 3120/25 is divided by 40.
5
Let m be (-1 + -1 + 1)*-7. Suppose m*v - 2*v - 165 = 0. Suppose -18*f = -17082 + 16776. What is the remainder when v is divided by f?
16
Let x(g) be the second derivative of 0*g**4 + 0*g**3 + 97/20*g**5 + 0*g**2 + 0 + 7*g. Calculate the remainder when x(1) is divided by 33.
31
Let s = -3584 + 3648. Calculate the remainder when 74 is divided by s.
10
Let a = 0 - 0. Suppose a*r = 2*r - 138. What is the remainder when r is divided by -9 - (22 - 57) - 8?
15
Suppose -150*y + 500 = -4265 - 635. Calculate the remainder when 706 is divided by y.
22
Let p(b) be the first derivative of 9*b**2/2 + 15*b + 2. Let c be (-9 + 14)*1*2. Calculate the remainder when p(c) is divided by 18.
15
Let w = 16050 - 16015. Calculate the remainder when 8574 is divided by w.
34
Let y(n) = n - 1. Let g be y(-1). Let v be g - (1 + (-3)/1). Suppose 5*x + 2*d - 71 = v, d + 32 = 2*x - 0*d. What is the remainder when 58 is divided by x?
13
Let d = 560 - 304. Let l(o) = 6*o**2 + 292*o + 229. Calculate the remainder when d is divided by l(-48).
34
Let p(z) = 7*z + 125. Let j be p(30). Let b = -317 + j. What is the remainder when 22 is divided by b?
4
Suppose -25*j - 453 = -22*j. Suppose -9 = -4*m - 21. What is the remainder when 48 is divided by ((-6)/9)/(j/(-51) + m)?
14
Let v = 884 + -891. What is the remainder when 193 - (-3 - v)/(-8 + 7) is divided by 41?
33
Let y(h) = -2*h**3 - 19*h**2 - 11*h + 6. Suppose 279 = 7*q - 484. Calculate the remainder when y(-10) is divided by q.
107
Suppose -922 - 617 = -19*w. Let b(q) = q**3 + 11*q**2 + 10*q - 7. Let t be b(-8). Suppose -2*v + 7*v - t = 0. Calculate the remainder when w is divided by v.
18
Suppose 4*v + 8 = -2*a + 4, -5*v - 27 = -3*a. Calculate the remainder when (-235)/v + (-4)/(-6) is divided by 12.
7
Let h(w) = 6*w**2 - 5*w - 12. Let j be -9*(-6)/(-9) + (-20 - -21). What is the remainder when h(j) is divided by 28?
23
Suppose -2*y = -4*s - s + 17, 4*y + 2*s = 26. Suppose 47 - 259 = -y*k. What is the remainder when k is divided by ((-144)/40)/(-3 - (-27)/10)?
5
Suppose -2808 = 129*r - 120*r. What is the remainder when 117/r - (-2443)/8*1 is divided by 6?
5
Let x(c) = c**2 - 3