uppose 1265 = 22*y + 240 - 383. Calculate the remainder when 954 is divided by y.
58
Suppose -2*s - 7*g + 94 = 0, -5*s + 370 = 20*g - 25*g. What is the remainder when 328 is divided by s?
56
Let o(q) = -49*q + 4220. Calculate the remainder when o(75) is divided by 81.
59
Suppose -74*j + 7866 + 5081 + 1187 = 0. Calculate the remainder when j is divided by 96.
95
Let n(k) = 28*k**2 + 86*k - 790. Calculate the remainder when n(9) is divided by 64.
12
Suppose 5*x = 2*x + 831. Suppose -2597 = 4*q - 2877. What is the remainder when x is divided by q?
67
What is the remainder when 1245 is divided by (-320)/(-24) - ((-24)/(-54))/(-2)*3?
13
Let w be -6*1/(-8) - 4142/(-152). Suppose -w = v - 42. Calculate the remainder when 44 is divided by v.
2
Suppose -4*n + 4*q = 216, 4*n + 5*q + 434 = 173. Let m = -68 + -4. Let v = n - m. Calculate the remainder when 46 is divided by v.
7
Let y(t) = 12*t**2 - 59*t - 664. What is the remainder when y(-11) is divided by 10?
7
Calculate the remainder when 67 is divided by (-60)/24*(-64)/(-20) - -27.
10
Let l = -98 - -98. Suppose l = -2*n - 2*n + 72. Let p = 60 - n. What is the remainder when p is divided by 26?
16
Suppose 9*u = -878 - 147 + 4184. Calculate the remainder when u is divided by 65.
26
Let n = -5396 - -5996. Calculate the remainder when n is divided by 287.
26
What is the remainder when (-5400)/210*(9 - 16) is divided by 13?
11
Let a(i) = i**2 + 14*i + 59. Let h(x) = 2*x - 45. Let n be h(19). Calculate the remainder when a(n) is divided by 3.
1
Suppose -547 = -3*o - d + 6*d, -4*d + 171 = o. Calculate the remainder when o is divided by 55.
14
Suppose 42 + 322 = -4*f. Suppose 65*s = -44*s + 11336. Let w = f + s. What is the remainder when 36 is divided by w?
10
Let j(a) be the first derivative of a**3/3 + a**2 - 18*a - 9. What is the remainder when 3*8*44/12 is divided by j(7)?
43
Let h(w) = 2*w**2 - 43*w - 102. Suppose 30 = 6*u + 6. Calculate the remainder when h(25) is divided by u.
1
Let r(q) = 5*q**2 - 7*q + 6. Let x be r(4). Suppose x*i = 59*i. Suppose i*f = 4*f - 48. Calculate the remainder when 21 is divided by f.
9
Suppose -3095 + 731 = -12*p. Calculate the remainder when 772 is divided by p.
181
Suppose 2*g + 4 = 0, -22*g = -4*w - 20*g + 284. What is the remainder when w is divided by (-4)/(-8)*(17 - -1)?
7
Suppose -5*l + 88 = -l. Let k = -44 + 51. Let z = k - -1. What is the remainder when l is divided by z?
6
What is the remainder when ((-18728)/(-56) + 3)/(10/35) is divided by 576?
29
Suppose 0 = -14*u + 28097 + 40181. Calculate the remainder when u is divided by 4.
1
Let j(f) = 159*f**2 - 8*f + 2. Calculate the remainder when j(-1) is divided by 161.
8
Let j = 11664 - 10965. Calculate the remainder when j is divided by 36.
15
Suppose -4*b - 3 = -d, 2*d + 2 = -b - 1. What is the remainder when 376 is divided by (-5 - b) + 5 + 94/1?
91
Suppose 210*w - 251*w = -23083. Calculate the remainder when w is divided by 289.
274
Suppose -23 = 2*h + 5*r, 616*r - 19 = -2*h + 617*r. Calculate the remainder when 6940 is divided by h.
4
Let c(g) = 8*g**2 + 33*g + 4. Calculate the remainder when 5731 is divided by c(0).
3
Let g = 252 - 131. Let o = -32 + g. Suppose -4*t + o = 4*f - 3*t, 3*t = f - 6. What is the remainder when f is divided by 6?
3
Let w = -336 + 233. Let n = w - -114. What is the remainder when 140 is divided by n?
8
Suppose 20*k - 2106 = -35*k + 16*k. Suppose 0*q - 22 = -2*q. Suppose x - q = 2*u + 1, 0 = -4*u + 4. Calculate the remainder when k is divided by x.
12
Let c(r) = -r**3 + 10*r**2 - 20*r + 54. Calculate the remainder when 361 is divided by c(6).
49
Let a = -15823 - -19810. What is the remainder when a is divided by 569?
4
Let b(i) = i**3 - 20*i**2 - 108*i + 3372. Calculate the remainder when b(29) is divided by 42.
39
Let f(b) = 952*b - 2662. Calculate the remainder when f(3) is divided by (-1205)/(-25) + (-3)/15.
2
Suppose 20*n + 10*n = 1621 - 301. What is the remainder when 218 is divided by n?
42
Let x(v) = -v**3 + 6*v**2 - 7*v + 4. Let k be 3/(-3)*40 - (28 + -21). Calculate the remainder when (141/k)/((-3)/14) is divided by x(4).
6
Let n(v) = 1141*v - 7860. Calculate the remainder when n(7) is divided by 52.
23
Let x(q) = -2*q**2 - 7*q - 12. Let a be x(-2). Let h(p) = -p**3 - 12*p**2 - 11*p + 7. Calculate the remainder when ((5 - -21) + a)/2 is divided by h(-11).
3
Let f(a) = a**3 - 24*a**2 - 54*a + 54. Let h = 15 + -12. Suppose -h*c + 15 = -2*i, -3*c - i + 0*i = -15. Calculate the remainder when c is divided by f(26).
1
Suppose -3*b + 3*s = -153, -b - 185*s + 183*s + 51 = 0. What is the remainder when 166 is divided by b?
13
Let s = 2527 - 2510. Suppose 125*d - 1595 = 120*d. What is the remainder when d is divided by s?
13
Suppose 126 = h - 0. Let a be (-40)/(-14) - (-18)/h. Suppose -3*d = -a*y - 300, d - 3*d + 185 = y. What is the remainder when d is divided by 24?
23
Let m(v) be the second derivative of v**4/6 - 5*v**3/2 + 7*v**2 + v - 84. What is the remainder when 151 is divided by m(8)?
19
Let q be 18/22 - 2/(-11). What is the remainder when ((-19)/q)/((-3)/(-2) - 2) is divided by 30?
8
Let k = -150 - -151. Calculate the remainder when 100/600 + (-1018)/(-12)*k is divided by 22.
19
Suppose 0 = -3*m - 0*m + 561. Suppose 0 = 14*r - 12112 + 12014. Calculate the remainder when m is divided by r.
5
Suppose -18 = 2*o - 3*n, -1 + 12 = 3*o + 5*n. What is the remainder when 252 is divided by (12/(-15))/(o/60)?
12
Suppose 6*p = 4*p - 74. Let s = p + -7. Let v = s + 60. Calculate the remainder when 39 is divided by v.
7
Let j(k) = 2*k**2 - 25*k + 16. Let z be j(11). Let q = z - -78. Suppose -4*n + 80 = -u, -3*u + 38 = 2*n - 4*u. What is the remainder when q is divided by n?
19
Suppose -5*n + 2861*r + 773 = 2857*r, 2*n - 5*r = 316. Calculate the remainder when 228 is divided by n.
75
Suppose -5*j + 10 = 0, -4*j - 24 = -2*t + 3*t. Let r = -26 - t. What is the remainder when 20 is divided by r?
2
Suppose 30 - 137 = -5*j - 2*x, -4*x - 62 = -2*j. What is the remainder when 125 is divided by j?
10
Let m = -27750 + 27779. Calculate the remainder when 584 is divided by m.
4
Suppose -4*v - 24 = -4*l - 140, -143 = -5*v + 4*l. Suppose -1 = -7*j + v. Calculate the remainder when 25 is divided by j.
1
Let p(d) = -d**2 + 9*d + 7. Let a be p(11). Let y(b) be the first derivative of -b**3/3 - 8*b**2 - 3*b + 88. Calculate the remainder when 82 is divided by y(a).
10
What is the remainder when 20 is divided by (21/5 + -3)*23/(138/80)?
4
Let q = -14721 - -15047. Calculate the remainder when q is divided by 159.
8
Suppose 0 = 78*o - 1044 + 186. Calculate the remainder when 81 is divided by o.
4
Let l be (18/42 + (-3110)/(-28))*-2. Let i = l + 327. Calculate the remainder when i is divided by 15.
14
Let l(j) = j**3 + 6*j**2 + 4*j - 5. Let d = -16 + 19. Suppose 19 = d*h - o - 0*o, -2*h - 6 = 4*o. What is the remainder when l(-3) is divided by h?
0
Let t = -359 - -456. Suppose 41 - t = -14*c. Calculate the remainder when 29 is divided by c.
1
Let z(y) be the third derivative of 3*y**4/4 - 37*y**3/2 - 16*y**2 - y. Let f(x) = -x**2 - 8*x - 1. What is the remainder when z(8) is divided by f(-7)?
3
Let m be (-13 - 492/48)/(6/(-16)). What is the remainder when m/(-4)*-6 - (70 + -70) is divided by 4?
1
Let r(m) = m**2 - 11*m - 22. Let j be r(-7). Let u = 1 + j. Suppose 4*a + u = 11*a. What is the remainder when a is divided by 7?
1
Let r be ((-16)/(-10))/(2/(-25)). Let x = r + 92. Suppose -k + 5*d = -5*k + 99, 4*k - 4*d = x. What is the remainder when 60 is divided by k?
18
Suppose 0 = 165*h - 159*h - 12. Suppose -w - 5*q = -78, w + h*w - 5*q - 274 = 0. Calculate the remainder when 351 is divided by w.
87
Suppose 10*y + 1098 - 3088 = 0. Let m(j) = j**2 + 3*j + 30. Calculate the remainder when y is divided by m(-10).
99
Suppose -5*k - 5*p + 935 = 0, 65*p - 62*p = 18. Calculate the remainder when k is divided by 64.
53
Let r = 164 - 149. Suppose -17 = -2*f + 13. What is the remainder when (f/6 + -2)*118 is divided by r?
14
Let k be (-36)/16 + 2 + (-25)/(-4). Let m(i) = k*i**2 + 24*i - 3*i**2 - 6*i - 10. Calculate the remainder when m(-8) is divided by 10.
8
Suppose 0 = -4*w + 2*m - 1278, 5*w - 4*w + 2*m + 312 = 0. Let b = 327 + w. Calculate the remainder when 150 is divided by b.
6
Suppose 5*k - 17*j = -15*j + 31