).
20
Suppose 3*k - 454 = -k + 2*t, k - 4*t = 96. What is the remainder when k is divided by (-1)/4 - 69/(-4)?
14
Suppose p = 3*f + 1, -f + 7 - 26 = -5*p. Suppose 17 - f = 4*t. Suppose -t*x + 40 = 3*k, 4*x - 5 - 3 = 5*k. What is the remainder when 11 is divided by x?
4
Suppose 569 = 4*n + 269. What is the remainder when 232 is divided by n?
7
What is the remainder when (-350)/150*(-27)/3 is divided by (16/10)/(14/35)?
1
Suppose -y + 4 - 1 = 0. Suppose 0*v = -3*v. What is the remainder when y is divided by -2 + (5 - v) - 1?
1
Let b = -23 + 29. Suppose -4*g + 70 = b. Calculate the remainder when g is divided by 6.
4
Let f = 22 + 102. What is the remainder when f is divided by ((-220)/3)/(-5) + 12/(-18)?
12
Let u(g) = 2*g**2 - 15*g - 176. What is the remainder when 286 is divided by u(-8)?
70
Let n(k) = -7*k**2 - 8*k - 11. Let f(x) = 8*x**2 + 8*x + 11. Let c(b) = -6*f(b) - 7*n(b). Calculate the remainder when c(-11) is divided by (9/(-4))/((-6)/24).
8
Let m be 2/(-2) - -2 - -1. Suppose 3*d = -m*d + 140. Calculate the remainder when d is divided by (15/1)/(3 + -2).
13
Suppose -2*q = 4*y - 508, -43*y + 45*y = 4*q - 996. Calculate the remainder when q is divided by 43.
35
Let d(g) = -8*g - 39. What is the remainder when d(-9) is divided by (-2)/12*2*-57?
14
Suppose 0 = 50*f + 18*f - 2720. Calculate the remainder when 132 is divided by f.
12
Let a = -51 - -31. Let v = 55 + a. Suppose 0 = g + 4*g - v. Calculate the remainder when 27 is divided by g.
6
Let h = 140 + -118. Calculate the remainder when 87 is divided by h.
21
Suppose 5*a + 10 + 6 = 2*i, -4*a = i + 5. Calculate the remainder when (-2)/3*42/a is divided by (-4)/(-2) + 2*1.
2
Let v = 3 + 12. Let w = 4630 + -4591. What is the remainder when w is divided by v?
9
Let f(r) = 23*r - 1. Let b be f(1). Suppose -5*w + 3 = -b. What is the remainder when 20 is divided by w?
0
Suppose 20*m + 392 = 25*m - t, 0 = 4*m + 4*t - 328. What is the remainder when 249 is divided by m?
12
Suppose 13*b - 31*b + 3132 = 0. Calculate the remainder when b is divided by 1/5 + (-248)/(-10).
24
Suppose -7*g = -9*g + 96. Let q be 3 - (g/3)/1. Let f = q + 19. What is the remainder when 16 is divided by f?
4
Let d(m) = -m**2 - 17*m - 7. Calculate the remainder when 35 is divided by d(-16).
8
Suppose -2*c + 117*f = 115*f + 4, -4 = -4*c + 2*f. Suppose -s = -3 - 1. What is the remainder when s is divided by c?
0
Suppose 3*r = 5*y - 14 + 1, -r + 14 = 2*y. Suppose -2*h - 14 = -r*h. Let m(g) = 3*g**2 - 9*g - 3. Calculate the remainder when m(h) is divided by 21.
18
Let a(o) = -14 + o**3 - 7*o - 3*o + 8 + 0*o**2 - 2*o**2. Calculate the remainder when (-1 + -2 + 2)*-75 is divided by a(5).
18
What is the remainder when ((-4)/(-4))/((-1)/(-19)) is divided by 5 + 4 + 6/(-3)?
5
Let l(p) = 2*p**2 - 5*p - 2*p - 3 - 2*p + 3*p. Suppose 1 = o - 5*q - 10, 5*o - 27 = -3*q. Calculate the remainder when l(5) is divided by o.
5
Suppose 5*a = 3 + 32. Let y = a + -4. Suppose 4*f - f + y*w - 18 = 0, -4*w = 5*f - 31. What is the remainder when 26 is divided by f?
5
Let c(w) = -w**2 - 2. Let a be c(0). Let t(s) be the second derivative of -3*s**5/20 - s**4/3 - 2*s**3/3 + 4*s. What is the remainder when t(a) is divided by 6?
4
Let u(z) be the third derivative of -z**5/20 + 5*z**4/8 + 36*z**2. Calculate the remainder when 80 is divided by u(4).
8
Let g = -39 - -6. Let t = g - -47. Calculate the remainder when 35 is divided by t.
7
Let q = 1493 + -1062. Suppose -7*p + q = -1025. What is the remainder when p is divided by 19?
18
Let x be 390/(-9)*2/10*-6. Let v = -15 + x. What is the remainder when 69 is divided by v?
32
Suppose 2*t = 5*t. Suppose 5*f - 4*f + 3 = t. Let x = 5 + f. Calculate the remainder when 4 is divided by x.
0
Let f be (6/4)/(36/48). Suppose -5*d - f = l, 2*d - 2 = -l - 2*d. Calculate the remainder when -2 - (-5)/((-5)/(-72)) is divided by l.
16
Let s = -1091 - -1327. Calculate the remainder when s is divided by 15.
11
Suppose 6*g - 2*g + 3*w - 157 = 0, -125 = -3*g + 5*w. What is the remainder when g is divided by -20*((-68)/10 + (-180)/(-30))?
8
What is the remainder when 18000/84 - (-6)/(-21) is divided by 27?
25
Let g = -1217 - -1252. Calculate the remainder when g is divided by 28.
7
Let m = 11 - 9. Suppose 5*f - 3*v = 51, 22 = 3*f - f - m*v. Suppose 2*o = -3*g + 10, -g + o + 1 = -f. What is the remainder when 27 is divided by g?
3
Let j(r) = -3*r**3 - 2*r - 7. Let b be j(-2). Let l = b - -3. What is the remainder when 165 is divided by l?
21
Let v(a) = 7*a + 20 + 12*a - 20*a. Let x be v(-10). Calculate the remainder when 24 is divided by 822/90 - 4/x.
6
Let f = 75 - 66. Calculate the remainder when 40 is divided by (24/9)/(2/f).
4
Suppose -2*t + 0*t + 46 = 0. Let i(z) = -15*z + 112 + 5*z**2 + 4*z**2 - 21 - 8*z**2. Calculate the remainder when i(15) is divided by t.
22
Let o = -24 + 76. What is the remainder when o is divided by (-352)/(-33) + 3/9?
8
Let w(m) = -6*m - 32. Let o(a) = -12*a - 64. Let h(f) = 6*o(f) - 11*w(f). What is the remainder when h(-13) is divided by 8?
6
Suppose -8*a + 220 = 2*a. What is the remainder when (-18)/4*2*-7 is divided by a?
19
Let r be 21/(-2)*(-24)/42. Let w(a) = a**2 - 9*a + 2. Let u be w(r). Calculate the remainder when -2*1*(u - 3) is divided by 13.
12
Let h(z) be the second derivative of z**3/3 + 7*z**2 - 7*z. What is the remainder when 25 is divided by h(0)?
11
Calculate the remainder when 173 is divided by ((-3680)/(-15))/16 + (-4)/(-6).
13
Calculate the remainder when 62 is divided by (-10)/50*-132 - (-3)/5.
8
Calculate the remainder when (-68)/(-6)*3/1 is divided by 37516/2075 - (-2)/(-25).
16
Let m = -1 - 50. Calculate the remainder when 66 is divided by (-5 - -7)/((-6)/m).
15
Let d(x) = x**3 + x - 1. Let m(p) = -2*p**3 + 5*p**2 - p. Let j(h) = 3*d(h) + m(h). Suppose 8*o = 3*o + 120. What is the remainder when o is divided by j(-3)?
6
Let x = -4 + 9. Let a(u) = -141*u - 5174. Calculate the remainder when a(-37) is divided by x.
3
Let q = 34 + -19. Let d be q/(-10)*-2 + 7. Suppose 2*y - 2 = b - 6, 0 = -2*y + d. What is the remainder when 53 is divided by b?
11
Let i(n) = -n**2 + 8*n - 7. Suppose 3 = r + 2. What is the remainder when (-77)/(-4) + r/(-4) is divided by i(6)?
4
What is the remainder when ((-2415)/(-140))/((-6)/(-16)) is divided by 12?
10
Suppose 6*d - d - 460 = 0. Let p = -75 + d. What is the remainder when 47 is divided by p?
13
Let p = 6 + 3. Calculate the remainder when (-3)/(-6) - 1476/(-24) is divided by p.
8
Let j(c) = 4*c - 9. Let n(a) = -a**3 + 8*a**2 + 7*a + 22. Let f be n(9). Calculate the remainder when 19 is divided by j(f).
5
Calculate the remainder when (3/6*-2)/((-40)/2920) is divided by 21 - 2 - (-2 - -2).
16
Suppose 0 = w + 1, 0 = 3*v + w - 3 - 113. Let b = 71 - v. Suppose 3*k - 4 - 29 = 0. What is the remainder when b is divided by k?
10
Suppose -16 + 3 = i. Let q = i + 24. What is the remainder when q is divided by 3?
2
Calculate the remainder when 152 is divided by (-18)/(-81) + (-183)/(-27).
5
Let o(d) = d**2 + 21*d + 3. Let j be o(-21). Suppose -j*y = 2*q + 14 - 50, -2*q + 34 = 2*y. Let b = 84 + -40. What is the remainder when b is divided by q?
14
Let w = 12 - -2. Calculate the remainder when 5/3 + (-1273)/(-57) is divided by w.
10
Let g(x) be the first derivative of -x**2 - 18*x - 13. What is the remainder when g(-11) is divided by 4?
0
Let l = -14 + 81. Let r(o) = -o**2 - 12*o - 12. Calculate the remainder when l is divided by r(-6).
19
Suppose -8*n = -9*n - 34. Let p = 44 + n. Calculate the remainder when 46 is divided by p.
6
Let b(p) = -p + 2. Let m = 39 + 26. Suppose y - 2*y - 61 = -4*f, 5*f = 5*y + m. What is the remainder when f is divided by b(-4)?
4
Let k be 2 - (3 - 2) - -1. Suppose 3 = -b, -206 = -v + k*b + 3*b. Suppose 3*d + 32 = v. Calculate the remainder when d is divided by 18.
17
Suppose -5*b + 10 = -0*b. Let x(a) = a - 1 - 2*a**2 + 24*a**b + 17*a**2 - 2*a**2. Calculate the remainder when x(1) is divided by 13.
11
Let h(a) = a**3 + a**2 - 2. Suppose 0 = -2*k + 54 + 42. Calculate the remainder when k is divided by h(2).
8
Suppose -5*d + 40 = 2*g, -3*d - 2*d = g - 30. Suppose 17 = 5*z - 2*u - g, -4*u - 19 = -3*z. Let o = -785 - -797. Calculate the remainder when o is divided by z.
2
Let o(u) = -u**2 - u + 3. Let s be o(0). Suppose 5*f