the remainder when b is divided by 13.
9
Suppose -4*c = 4*q - 3604, 0 = -4*q + 5*c + 2651 + 944. Calculate the remainder when q is divided by 436.
28
Let s be (-4 + -11 + 7)*1. Let m(v) be the third derivative of -3*v**4/8 + 19*v**3/6 - v**2. Calculate the remainder when m(s) is divided by 31.
29
Let l = -99 - -172. Suppose -3*k - 16 + l = 0. Suppose 1 = -2*m + 13. Calculate the remainder when k is divided by m.
1
Let n(f) = f**3 - 6*f**2 - 2*f + 2. Let r be n(6). Calculate the remainder when 6/15 - 1046/r is divided by (-2*9)/(-3 + (-7)/(-3)).
24
Let f(o) = 7*o**2 + 59*o + 429. What is the remainder when f(-8) is divided by 82?
77
Let t = 36775 + -35652. What is the remainder when t is divided by 25?
23
Let f(c) = 12*c + 78. Let u be f(-8). Let a(o) = -5*o - 61. What is the remainder when 96 is divided by a(u)?
9
Let k(d) = 25*d - 3459. What is the remainder when 652 is divided by k(145)?
154
Let u be 2*(8685/(-12))/(3/2). Let p = u - -1043. Calculate the remainder when p is divided by 47.
31
Let h = 33913 - 16684. What is the remainder when h is divided by 24?
21
Suppose -77*a + 39*a + 1758 = -1852. Let z(x) = 69*x. Let q be z(1). Let j = a - q. What is the remainder when 76 is divided by j?
24
Let q(m) = -m**2 - 15*m + 580. Let j be q(0). Let o = j + -548. Calculate the remainder when (-1713)/(-6) - 2/4 is divided by o.
29
Suppose -7*w + 14*w + 5432 = 35*w. Calculate the remainder when 6013 is divided by w.
193
Suppose -178890 = -194*m + 16*m. Let u(i) = 4*i**2. Calculate the remainder when m is divided by u(3).
33
Let v = -133 + 192. Let h(b) = b**2 - 4*b - 9. Suppose -2*l + 4*l - 14 = 0. Calculate the remainder when v is divided by h(l).
11
Suppose -492 = -39*h - 593 + 1349. What is the remainder when 144 is divided by h?
16
Suppose 4*w = -5*v + 3066, -5*v + 166 = -2*w - 2876. Suppose 7*l + 83 = -v. Let m = 112 + l. Calculate the remainder when 17 is divided by m.
4
Suppose 4*d = -2*p, -5*p = 5*d - 3 - 2. Let g be (0 + -2 + 1)*-1. Let i = p + g. What is the remainder when i is divided by 3?
0
What is the remainder when 828 is divided by (-5 + (-660)/(-9))/(21/63)?
8
Let r be (-4)/16 - (-430)/(-8). Suppose 11*d - 258 = -27. What is the remainder when d is divided by 3/((-9)/(-14))*r/(-21)?
9
Let f(a) = a**3 + 37*a**2 - 123*a - 89. Calculate the remainder when 5827 is divided by f(-40).
30
Suppose 5*g + 30 = 5*h, 0*g - 6 = 4*g + 2*h. Let a = 48 + g. Let z = 44 + -20. Calculate the remainder when a is divided by z.
21
Let u(h) = h**3 + 158. Let g be u(0). Let j = g - 155. Calculate the remainder when 3 is divided by j.
0
Let c be (7/7)/((-2)/(-6)). Suppose 45 = 7*y + c. What is the remainder when 9 is divided by y?
3
What is the remainder when 1215 is divided by (-2406)/(-75) - (-242)/(-3025)?
31
What is the remainder when (-2)/220*-11 - 44195/(-50) is divided by 42?
2
Suppose 0 = 5*g + 3*h - 20, -9 = -4*g - 0*h - h. Suppose 0 = -2*v + 81 + 135. Calculate the remainder when v is divided by (-11)/((5/(-10))/g).
20
Let q be (12/(-9))/(3/(-9)). Suppose -5*m = -q*m - 33. Suppose -12*f = -17*f - 2*l + 630, 5*l = 0. Calculate the remainder when f is divided by m.
27
Suppose n + 4*m = 25, 0*n - 3*m + 40 = 2*n. Suppose -q + 4*q = 4*t + n, -2*q = -3*t - 14. What is the remainder when 59 is divided by (t/(-5))/((-38)/(-285))?
11
Let q(u) = 456*u**2 + 37*u - 12. Calculate the remainder when q(2) is divided by 51.
50
Suppose h + 2*h = -30. What is the remainder when 11/(5 - 38/8) is divided by (-234)/h + (-4)/10?
21
Suppose 3*t + 3*j = -1803, -444 = t + 5*j + 153. Let b = t + 651. What is the remainder when b is divided by 5?
4
Let c = -40093 - -40112. What is the remainder when 4730 is divided by c?
18
Let p = -4689 + 4793. Calculate the remainder when p is divided by 33.
5
Let l be 3/(-9) + 1*(-2)/(-6). Suppose l = -4*f + 36 + 220. Suppose f = 4*t - 92. What is the remainder when t is divided by 5?
4
Suppose 2*i - 12 = 62. Let r(w) = 7*w + 67. Let v be r(0). Let k = v - i. What is the remainder when 117 is divided by k?
27
Suppose 3*s + 39 = 3*h, -4*h + 46 = 2*s - 36. Suppose 4*n - 5 = 3. Suppose -n*t + 104 = -0*t. What is the remainder when t is divided by h?
16
Let c(g) = -10*g**2 + 139*g + 82. What is the remainder when 1122 is divided by c(8)?
14
Suppose 7*x + 69 = -1. Let s(q) be the first derivative of -q**3/3 - 19*q**2/2 + 21*q - 2. Calculate the remainder when s(x) is divided by 28.
27
Let c(i) = 29*i + 2. Let w(y) = y + 1. Let t(g) = c(g) - 6*w(g). Let s be t(1). Suppose 0 = -4*r + 149 + s. What is the remainder when r is divided by 15?
12
Let t = -221 + 218. What is the remainder when ((-114)/(-24))/(t/(-96)) is divided by 9?
8
Suppose -2*p + 2926 = -2*o, 3542*p - 5832 = 3538*p - o. What is the remainder when p is divided by 86?
83
Suppose -15 = 16*o + 65. Let t(b) = 88*b + 50. Let z(h) = 43*h + 25. Let c(n) = o*z(n) + 2*t(n). Calculate the remainder when c(-4) is divided by 35.
26
Let z = 28370 + -28363. Let b = -16 + 78. What is the remainder when b is divided by z?
6
Let v = 319 + -324. What is the remainder when 87 is divided by (5 - (v + (-60)/(-8)))*10?
12
Suppose -348 = -21*u + 16*u - 3*y, 5*u - 342 = 3*y. What is the remainder when 3241 is divided by u?
67
Let r = -118 + 115. Let c(w) = -4*w - 11. Let p be c(r). Calculate the remainder when 2 - 45/((-3)/12*p) is divided by 23.
21
Let h(u) = u - 2. Let w(i) = 7*i - 2. Let y(v) = 2*h(v) - w(v). Let f be y(1). Calculate the remainder when (-37)/f + -5 + (-775)/(-7) is divided by 29.
24
Let j(l) = -l + 4. Let f be j(0). Suppose 0 = 3*y - 5*y + 5*d + 53, 3*y - d = 60. What is the remainder when -4 + (4 - f) - -59 is divided by y?
17
Suppose l - 5*h - 367 = 0, -2*h + 3115 = 7*l + 2*l. Calculate the remainder when l is divided by 112.
11
Let a = -70 + 90. What is the remainder when a is divided by (-3 + 0)/((-4)/(-48)*-3)?
8
Let o(j) = 15 + j - 5 - 4*j. Suppose 4 = 4*f, -3*f = 4*r - 2*f - 9. What is the remainder when 15 is divided by o(r)?
3
Let z(q) = -245*q + 20. Let r be z(-3). Suppose 0 = -3*g - 4*x, 0 = 3*g - x - 16 + 1. Suppose -295 = g*j - r. What is the remainder when j is divided by 29?
28
Suppose -30*c = -3*y - 33*c + 1227, -3*y = 5*c - 1219. Let a = y - 263. Calculate the remainder when a is divided by 19.
17
Let z(v) = -3*v**2 - 26*v - 15. Suppose -2*s = i - 122, -2*i + 5*s + 286 = 60. What is the remainder when i is divided by z(-7)?
18
Let h = 141 + -69. Suppose -200 + h = -2*y. Let g = y - 39. What is the remainder when 172 is divided by g?
22
Suppose 86*v - 38633 = -3*s + 85*v, 2*v = 4*s - 51504. What is the remainder when s is divided by 81?
79
Let d(l) = l**2 - 8*l - 31. Let n be d(11). Suppose -n*p + 786 - 672 = 0. Calculate the remainder when p is divided by (0 + -20)/(-1 - 0).
17
Let p = -7723 - -7899. What is the remainder when 1048 is divided by p?
168
Let z = 427 + -445. Let m(x) = -13*x - 90. What is the remainder when m(z) is divided by 38?
30
Let h = -173 - -177. Suppose -193 = 4*i - 9*i - 4*n, h*i - 5*n = 179. What is the remainder when 118 is divided by i?
36
Let d = 87 - 45. Let j(r) be the third derivative of -7*r**4/6 - r**3/2 - 15*r**2. What is the remainder when j(-6) is divided by d?
39
Let j be 244/(-14) - 72/126. Calculate the remainder when (3 - 7/1) + 43 is divided by 35/(-3)*j/15.
11
Suppose q - 21*q + 6110 + 9130 = 0. What is the remainder when q is divided by 4?
2
Suppose 0 = 2*x - 5*x + 105. What is the remainder when (5 - 6)/((-398)/588 + 72/108) is divided by x?
28
Let j be 2 + 2/(-5)*(20 - 0). What is the remainder when 131/6 + j/(-36) is divided by 2 - (-2 + (-1 - -1))?
2
Suppose 12*r = -19*r + 6*r. Let j be 1*(-3)/((-6)/4). Suppose j*i + 4*g = r, 0*i + i + 3*g + 5 = 0. What is the remainder when 39 is divided by i?
9
Let h be ((-8)/(-20))/(-2 + 1477/735). What is the remainder when 35 is divided by (-4)/(-1)*63/h?
5
Let f(l) = -l**3 + 5*l**2 - 6*l + 5. Calculate the remainder when f(-8) is divided by 215.
25
Calculate the remainder when (-634*(-4)/(-20))/(-3*(-10)/(-150)) is divided by 184.
82
Let f(a) = 5*a**3 - 2*a**2 - 12*a - 4. Let w(c) = 9*c**3 - 3*c**2 - 23*c - 9. Let j(y) = 5*f(y) - 3*w(y). What is the remainder when 98 is divided by j(-3)?
23
Suppose 100*q - 51*q - 3185 = 0. Calculate the remainder when 1684 is divided by q.
59
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