*u = 9, -m = -5*m - u + 3. Suppose p - 10 + m = 0. Calculate the remainder when 16 is divided by p.
6
Suppose -5*b + b - 4*v - 28 = 0, b = 2*v - 19. Suppose 3*g = g - 2*s - 10, -3*g - s - 11 = 0. Calculate the remainder when (g - (-4)/2)*b is divided by 4.
3
Calculate the remainder when (6322/(-4))/(((-12)/(-8))/(-3)) is divided by 102.
101
Let i(c) = -4*c**3 - c**2 + c + 1. Let q be i(-1). Let n = -55 - -116. Suppose 7 = 2*j - 2*u - 15, n = q*j + 4*u. What is the remainder when j is divided by 6?
3
Let b = -11 + 16. Suppose 1 - b = -2*l. Calculate the remainder when 2 is divided by l.
0
Suppose 90*b = 87*b + 240. What is the remainder when b is divided by 5?
0
Suppose 4*b - 4*i + 6*i = 32, 0 = -2*i - 8. Suppose b*r - 3*k = 9*r - 1, 3*r + 2*k = 52. What is the remainder when 24 is divided by r?
10
Let k = -807 + 962. Calculate the remainder when 315 is divided by k.
5
Calculate the remainder when 106 is divided by ((-6)/5)/((-55)/1650).
34
Let h(w) = 2*w + 561. What is the remainder when h(-60) is divided by 26?
25
Let u = 178 - -11. Calculate the remainder when u is divided by 32.
29
Suppose -5*g - 7 = -32. Suppose -4 - 6 = -5*a, -i + a + g = 0. Suppose -3*u - 88 = -i*u. Calculate the remainder when u is divided by 8.
6
Suppose -249 - 228 = -53*s. What is the remainder when 357 is divided by s?
6
Let g be (1 + 0)/(9/27). Let q(d) = 2*d**3 - 2*d**2 + 3*d - 3. What is the remainder when q(g) is divided by 11?
9
Let f(p) = 7*p**2 - 7*p + 7. What is the remainder when ((-810)/(-72))/(6/16) is divided by f(1)?
2
Let a = -21 + 24. Suppose -142 = -2*t - 5*z, 0*t = a*t - 5*z - 263. What is the remainder when t is divided by (1 + -2)*(-20 - 1)?
18
Let t be 4 + -1 - (-5)/25*5. Suppose t*h - 220 = 2*h. Calculate the remainder when h is divided by 28.
26
Let w = 74 - 45. Suppose -6*u - 3*h = -2*u - 57, u + 2*h - 13 = 0. What is the remainder when w is divided by u?
14
Let y(p) = p**3 + 6*p**2 + 11*p + 18. Let h be y(-4). Suppose 3*b - 252 = -h*b. Let i = 4 + 11. What is the remainder when b is divided by i?
13
Calculate the remainder when 38 + (5 + 1 - 11) is divided by 2.
1
Suppose 0 = -5*w + 12 - 57. Let z = 5 + w. Calculate the remainder when 90 is divided by z/(-18) - (-820)/36.
21
Let x(v) = -14*v + 97. Suppose 0*d = d - 5. Suppose z + 188 = d*o, 2*o - z - 67 - 10 = 0. What is the remainder when o is divided by x(6)?
11
Let r be (1/(-3))/(2/(-6)). Suppose b - 13 = 2. What is the remainder when r*((-58)/4*-4)/1 is divided by b?
13
Let h(c) = 16*c - 3. Let q be (3/9)/(1/6). What is the remainder when h(q) is divided by 16?
13
Let n = 337 - 293. What is the remainder when 128 is divided by n?
40
Let t(q) = 2*q**3 + 18*q**2 + 14*q + 10. Let w be t(-7). Suppose 2*c + 2*a = w, -33 + 273 = 4*c - 4*a. What is the remainder when c is divided by 12?
9
Suppose 0 + 45 = o. What is the remainder when 176 is divided by o?
41
Suppose 12*q = -832 + 2344. Let j = 36 - 4. What is the remainder when q is divided by j?
30
Let b(f) = -24*f - 6. Let r be b(-2). Suppose -13*i + 16*i - r = 0. Calculate the remainder when i is divided by 4.
2
Let s(f) = 19*f**2 - f - 1. Calculate the remainder when s(-3) is divided by 7.
5
Let l(m) be the second derivative of -m**3/6 + 15*m**2/2 + m. What is the remainder when 18 is divided by l(8)?
4
Let m(u) = 120*u**3 - 3*u**2 + 4. What is the remainder when 356 is divided by m(1)?
114
Let m(z) = -z**2 + 80. What is the remainder when m(0) is divided by 2?
0
Let a = 8 + 15. Suppose a = -2*d + 2*x + 9, -d - 4*x = -3. Let b = d - -18. Calculate the remainder when 36 is divided by b.
10
Suppose 4*i - 96 = 284. Let g = -67 + i. Calculate the remainder when g is divided by 8.
4
Suppose -32*c = -52*c + 3140. What is the remainder when c is divided by 16?
13
Suppose 50 = -4*v + 130. Let j(l) = -2*l - 6. Let m be j(-5). Suppose -3*i - m*f - 16 = -185, 3*f = -6. Calculate the remainder when i is divided by v.
19
Let c(j) = j + 13 - 3*j + 3*j. Let k be c(-11). Suppose 3*z = -k*z + 90. What is the remainder when 33 is divided by z?
15
Let q(u) = -43*u**2 + 1. Let r be q(1). Let b = -22 - r. Calculate the remainder when 79 is divided by b.
19
Let o(p) = -15*p**2 + p. Let u be o(-1). What is the remainder when 6/1*4*u/(-12) is divided by 19?
13
Suppose 72 = -o - 5*o. Let v(f) = f + 11. Let w be v(o). Let z(g) = -68*g**3 + 2*g + 1. Calculate the remainder when z(w) is divided by 17.
16
Let z = 25 - 21. Suppose c - 4*c = -24. What is the remainder when -8 + z - (-30 + -3) is divided by c?
5
Let s = 124 - 94. Suppose -5 = -x, -5*d - s = 2*x - 105. Calculate the remainder when 46 is divided by d.
7
Let x(h) = -h**3 + 21*h**2 + 22*h. Let c be x(22). Let b = 14 - 23. Let g = c - b. Calculate the remainder when g is divided by 3.
0
Suppose -2*j + 354 = 3*r, -467 = -4*r - 4*j + 3*j. What is the remainder when r is divided by 48?
20
Let m(i) = 2*i**2 - 18*i + 17. Let n be m(8). Suppose -2*r - 5*v = -8, 2*v = -r + 4 + n. Calculate the remainder when 31 is divided by r.
4
Let s(j) = -3*j**3 + 7*j**2 + 10*j - 10. Let t(k) = k**3 - k**2 + 1. Let y(h) = s(h) + 2*t(h). What is the remainder when 45 is divided by y(6)?
13
Suppose 3*j - 3 = 9. Calculate the remainder when 40 is divided by j.
0
Suppose f + 18 = 3*g, 26 = 2*g + f + 9. Suppose -52 = -g*l - 17. What is the remainder when 22 is divided by l?
2
Let s(a) = a**3 + 16*a**2 - 42*a - 2. What is the remainder when s(4) is divided by 19?
17
Let q = -61 + 93. Let v(a) = a**3 + 5*a**2 + 4*a + 7. What is the remainder when q is divided by v(-3)?
6
Suppose 5*z - 3 - 17 = 0, 5*a + 5*z = 2030. Calculate the remainder when a is divided by 15.
12
Let n = 325 + -108. What is the remainder when n is divided by 57?
46
Let a be 0/((3 + -7)/2) + 4. Suppose -2*h - 2*q + 16 = 0, 4*h - 5*q = 5*h - a. What is the remainder when h is divided by 4?
1
Let w(r) = r**3 + 20*r**2 + 18*r + 6. Calculate the remainder when 798 is divided by w(-19).
23
Suppose -12 = 2*x - 4*l, l + 12 = -2*x - 3*l. Let f(o) = o. Let w(g) = 6*g + 8. Let s(q) = -12*f(q) + w(q). What is the remainder when s(x) is divided by 16?
12
Let a(z) = z**2 + 2*z - 4. Calculate the remainder when 217 is divided by a(4).
17
Let v be (-2 - -1)/(-1 - (-32)/34). What is the remainder when 67 is divided by 3*v*(-3)/(-9 - 0)?
16
Suppose -3*m - 144 = -b - 2*b, b - 73 = -4*m. Suppose -4*q + 15 + b = 0. Let d(f) = f**3 + 8*f**2 + 3*f + 5. Calculate the remainder when d(-7) is divided by q.
16
Let v = 54 + -56. Let a(i) = i**2 - 4*i + 3. Let g be a(2). What is the remainder when v/(-2) - g - -53 is divided by 20?
15
Suppose 7 = -26*r + 3361. What is the remainder when r is divided by 12?
9
Let g(f) = -13*f**3 + f. Let z(u) = 1 + 8 - u + 2*u + 2*u**2 + 5*u. Calculate the remainder when z(-6) is divided by g(-1).
9
Let o(r) = -r**3 - 4*r**2 + 4*r - 17. Let m be o(-7). Suppose 0 = 4*d + i - m, 3*d + 26 = -i + 102. Calculate the remainder when d is divided by 7.
5
Let x = -47 + 205. Suppose 65*z + 424 = 73*z. Calculate the remainder when x is divided by z.
52
Let u be (5/2 - -1)*2. Let w = 1 + u. Let p(x) = -x**3 + 5*x**2 + 8*x + 3. What is the remainder when p(6) is divided by w?
7
Suppose 9*x - 30 = 24. What is the remainder when 243 is divided by x?
3
Suppose 4*s - 164 = -4*g, g + 2*s - 170 = -3*g. Let z = -41 + g. What is the remainder when 9 is divided by z?
0
Let p(d) = 17*d**2 - 16*d + 2. What is the remainder when 163 is divided by p(2)?
11
Suppose 0 = -5*t, 7*t = -5*q + 3*t + 75. Suppose 5*l = 2*s - 22, 9*s - 9 = 4*s + l. Calculate the remainder when 50 is divided by 3 - (1 - q/s).
16
Suppose -6*o + 14 = -88. What is the remainder when 46 is divided by o?
12
Let n be (-4 - (-150)/5)*3/(-2). Let a = 81 + n. Calculate the remainder when a is divided by 24.
18
Let q(g) = -g - 2. Let y be q(-11). Suppose -y*d - 104 = -11*d. Suppose 20 + d = 4*x. Calculate the remainder when 35 is divided by x.
17
Let k = 2236 - 1975. Calculate the remainder when 788 is divided by k.
5
Let v be 42/10 - 6/30. Suppose v*b - 10 = 58. Suppose -3*j + 3*y + 156 = 60, -2*j = -5*y - 64. What is the remainder when j is divided by b?
15
Let g = 169 + -161. Let u(k) = -k**3 - k**2 + 1. Suppose -3*c - 6 = -x, 3*c - x = -2*c - 10. What is the remainder when g is divided by u(c)?
3
Suppose -742 = -22*o - 1