z. What is the remainder when x(z) is divided by 3?
0
Suppose -290 = 23*a - 888. Let s(d) = -d**2 - 2*d + 129. Calculate the remainder when s(0) is divided by a.
25
Suppose 2*t - 3*o = -207 + 624, -3*o = 3. What is the remainder when t is divided by 2/3 + 28/3?
7
Let l(y) = y**2 - 11*y + 70. Let d be l(9). Suppose 65*o = d*o + 1066. What is the remainder when o is divided by 77?
5
Let h = 1278 - 879. Calculate the remainder when h is divided by 100.
99
Suppose c - 16 = 4*y, -3*c - y + 80 = 2*c. Let o(f) = -f**2 + 17*f - 37. Calculate the remainder when c is divided by o(14).
1
Let w be (6/10)/(7/(-245)). Let m be (-13)/(-91) - 39/w. What is the remainder when 53 is divided by 33 + ((-4)/m)/1 + -1?
23
Let x(f) = 29*f + 3. Let c be x(-1). Let d(h) = -h**3 - 14*h**2 - 4*h - 17. Calculate the remainder when (c/(-39))/((-4)/(-678)) is divided by d(-14).
35
Suppose -10911 = -3*q + 2*s + 5388, -2*q - 2*s + 10876 = 0. Calculate the remainder when q is divided by 21.
17
Let n(u) = 2*u**3 + 19*u**2 + 13*u + 1. Let p be n(-7). Let t = p - 109. Calculate the remainder when t is divided by 20.
6
Suppose 595*j = 590*j. Suppose j = -7*n - 587 + 2120. What is the remainder when n is divided by 55?
54
Suppose -2*w + 9 = 3*f - 7, 4*w - 26 = -3*f. Suppose -w*y + 130 - 20 = 3*q, 4*q - y = 139. What is the remainder when q is divided by 12/(-30) + (-235)/(-25)?
8
Let v(i) = 2*i**2 + 56*i + 9. Calculate the remainder when 879 is divided by v(-28).
6
Let u = -2007 + 2076. Calculate the remainder when 229 is divided by u.
22
Suppose 0 = -25*b + 8*b - 5542. Let p = b + 457. What is the remainder when p is divided by 40?
11
Let j(c) = -c**2 + 7*c + 25. Let m be j(9). What is the remainder when 178 is divided by ((-4)/(-8))/((m/(-40))/(-7))?
18
Suppose -4*g + 182 = 510. Let d = 188 + g. Suppose 51*a - 1740 + 415 = 52. What is the remainder when d is divided by a?
25
Let d(t) = -5*t - 28. Let s be 9/(-6) - 28/(-8). Suppose -s*i + 60 = -8*i. What is the remainder when 65 is divided by d(i)?
21
Let b = 84 + 196. Suppose -6045 + 6374 = 7*c. Calculate the remainder when b is divided by c.
45
Suppose -2*d - 21 = -m, 2*m - 5*m + 61 = -5*d. Let s = -872 + 948. Calculate the remainder when s is divided by m.
8
Let n(t) = t. Let w(p) = 11*p - 2. Let v(r) = -4*n(r) + w(r). Let y be (6/12 + (-3)/2)*-5. Calculate the remainder when v(y) is divided by 17.
16
Calculate the remainder when 168 is divided by (11/2 - 6)/(4/(-344)).
39
Let s be (-3)/(-6*6/96). What is the remainder when 130 is divided by 41*(4*(-4)/s - -3)?
7
Suppose 68*h - 6*h = h + 16714. Calculate the remainder when 2190 is divided by h.
272
Let o(c) = -4*c**2 - 7*c + c**3 - 2*c**3 - 2*c**2. Suppose -2*s + 0*s + 5*r + 15 = 0, 5*s + 20 = r. What is the remainder when 28 is divided by o(s)?
8
Let p = 37977 + -34791. What is the remainder when p is divided by 84?
78
Suppose 43 = -4*x + 847. Let v = -165 + 63. What is the remainder when x is divided by (2 - 5 - 35/(-14))*v?
48
Suppose 0 = 58*v - 52*v - 276. Let d(w) = w**2 - 7*w - 22. Let j be d(10). Let s(k) = -k**2 + 9*k + 4. Calculate the remainder when v is divided by s(j).
10
Let v(j) = -j**3 + 12*j**2 + 3*j + 33. Let y be v(7). Let m = y - 282. Suppose -5*h = 10, 3*c = 5*c - 2*h - 130. What is the remainder when c is divided by m?
12
Let o(v) = -v**3 - v**2 + 5*v - 3. Let u = -198841 + 198877. What is the remainder when o(-5) is divided by u?
0
Suppose 0 = 5*n - 550 - 465. Let f(o) = -o + 92. Calculate the remainder when n is divided by f(51).
39
Let h be (-37 - -1)/(3/(-4)). Suppose -l - 4*l = 2*z - h, 20 = 5*l. What is the remainder when (-40 + 1)/(2 + -3) is divided by z?
11
Suppose 4*z = 2*s + 216, 0 = 11*z - 9*z - 4*s - 96. Calculate the remainder when 1843 is divided by z.
51
Let z(u) be the second derivative of 21*u**4/4 + u**3/6 - u**2 - u. Suppose 5 = b - 4*y, 85*b - y = 81*b + 5. What is the remainder when z(b) is divided by 16?
14
Let o = -94 - -150. Let c(m) = -m**3 + 9*m**2 - 10*m + 12. Calculate the remainder when o is divided by c(7).
16
Suppose 2*o = 5*z - 131, -5*z + 5*o + 125 = -0*z. Let d = 53 - z. What is the remainder when 119 is divided by d?
15
Let h(m) be the first derivative of 2*m**3/3 - 4. Suppose -2*d - 2*u + 34 = 0, -5*d + 2*u + 88 = 24. Calculate the remainder when d is divided by h(2).
6
Suppose 21 = -l - 0*l. Let f be ((-14)/3)/((-7)/l). Let j = f - -32. What is the remainder when 71 is divided by j?
17
Suppose 153 = -21*w + 825. What is the remainder when (-161 - -5)*-1*1 is divided by w?
28
Suppose 35 = q + 4*q. Suppose -5*g - q*g + 432 = 0. What is the remainder when 175 is divided by g?
31
Suppose 0 = -0*d - d + 71. Suppose -47*k = 4*k + 144*k - 2340. What is the remainder when d is divided by k?
11
Suppose -3 = -4*j + 21. Let y be ((-4)/j)/(40/(-6420)). Let b = y - -83. Calculate the remainder when b is divided by 32.
30
Suppose -21*q + 650 = 29*q. Let z(t) = -2*t + 8 - 5 + 0*t - 3*t. Calculate the remainder when z(-7) is divided by q.
12
Let a(g) = -6*g - 2. Let p be a(-2). Let n = p + -5. Let l(d) = -1063*d - 83970. What is the remainder when l(-79) is divided by n?
2
Let v = 5892 + -3271. What is the remainder when v is divided by 61?
59
Suppose 2235 = 3*i - 3*c, i + 5*c = 3*i - 1505. Let z = -11758 + 11811. What is the remainder when i is divided by z?
51
Let s = 2899 + -2636. What is the remainder when s is divided by 14?
11
Suppose 14*x + 28 = -14. Let n be 2/3 - 748/x. What is the remainder when 59 is divided by (6/(-5))/((-10)/n)?
29
Let j = -3216 - -3838. Calculate the remainder when j is divided by 29.
13
Let b(g) = -g**2 + 6*g - 5. Let c be b(4). Suppose 0 = -46*r + 16*r + 420. What is the remainder when r is divided by 1/(1*c/9)?
2
Calculate the remainder when (-43)/((-645)/6936) + (-2)/5 is divided by 92.
2
Suppose -273 = -106*q + 103*q. Calculate the remainder when q is divided by 28/(5 - 3) + (-1 - -3).
11
Let z(c) be the first derivative of 4*c**3/3 + 7*c**2/2 - c + 47. Calculate the remainder when z(-4) is divided by 12.
11
Let p(w) = 12*w + 144. Let v(i) = 4*i + 48. Let j(k) = -3*p(k) + 10*v(k). What is the remainder when j(16) is divided by 23?
20
Calculate the remainder when (-7182 - -4)*1*1/(-2) is divided by 8.
5
Let d = -5730 + 6121. Calculate the remainder when d is divided by 135.
121
Suppose 7*t = 10*t - 71*t + 2108. What is the remainder when 7779 is divided by t?
29
Let a(b) = -18*b - 536. Calculate the remainder when 856 is divided by a(-45).
34
Let k(h) = -3*h**3 - 2*h**2 - 3*h. Suppose -i + 4*u + 1 = -4, -15 = 3*i + 3*u. Let p = 38 - i. What is the remainder when p is divided by k(-2)?
19
Let u(r) = -2*r**2 + 25*r - 1. Let z(s) = -s**2 + 13*s. Let c(a) = -6*u(a) + 11*z(a). Let l be c(4). What is the remainder when 14 is divided by (-3)/(0 + 2/l)?
5
Suppose 2*t - 3*d - 13 = 0, 5*t - 85 = -3*d - 0. Calculate the remainder when 5683 is divided by t.
13
Calculate the remainder when 9754 is divided by -134 - -141 - (1 - (-1 - -7)).
10
Let p be (88/3)/(200/(-300)). Let s = p + 76. Calculate the remainder when s is divided by 23.
9
Suppose 52 = 9*v - v - 5*z, -v = -z - 5. What is the remainder when 599 is divided by v?
5
Suppose -5*u + 130 = -4*d, u + 3*d - 104 = -3*u. Let x(v) = v**3 + 64*v**2 + 14*v + 989. What is the remainder when x(-64) is divided by u?
15
Suppose 0 = 6*j - 5*q - 7014, 2*q = 5*j + 3430 - 9275. Calculate the remainder when j is divided by 41.
21
Suppose -3117 - 723 = -16*w. What is the remainder when 743 is divided by w?
23
Let c be (550/(-35))/(-1 - 24/(-28)). Suppose 4*z - 18 - c = 0. Suppose -2*a - 5*g = -7*a + 100, -39 = -3*a - 4*g. What is the remainder when z is divided by a?
15
What is the remainder when -1 - 4*(-763)/4 is divided by 51?
48
Let o(h) = 2*h - 17. Let r be o(11). Suppose 3*w - 4 = -3*p + 4*w, 3*w - 12 = -3*p. Suppose p*s = r*s - 105. Calculate the remainder when s is divided by 18.
17
Let a = -2970 + 4416. Calculate the remainder when a is divided by 480.
6
Calculate the remainder when 644 is divided by (3 + -5)*(-36)/8.
5
Suppose -7*s = -2250 - 1845. Calculate the remainder when s is divided by -19*(-2 - -1)*1.
15
Let j = 16 - 8. Suppose 122409 = 499*l - 30*l. What is the remainder when l is divided by j?
5
Let w(v) = v**3 + 2*v**2 - 35*v + 7. Let i be w(5). Ca