*h. Suppose 5*b + 49 = 189. Calculate the remainder when b is divided by s.
11
Suppose 3*o = 75 + 273. Calculate the remainder when o is divided by 17.
14
Let k(x) = -x**2 + 37*x - 14. What is the remainder when k(25) is divided by 52?
26
Suppose 28 = 4*f - 4. Suppose 6 = 4*p - 2. Calculate the remainder when f is divided by p.
0
Let l = 93 + -53. Suppose -11*t + l = -7*t. Calculate the remainder when t is divided by 6.
4
Suppose 0 = 4*s - 36 - 64. Suppose 3*w + b - 1 = 0, 5*w + 1 = -b + 6. Calculate the remainder when s is divided by w/(-4)*(-21 - 5).
12
Let s = -16 - -33. Let c = 1 + s. Calculate the remainder when c is divided by 8.
2
Let c(b) = -2*b - 6*b - 11*b + 2. Let g be c(-1). Suppose -179 - g = -4*u. Calculate the remainder when u is divided by 17.
16
Let x = 1531 + -1010. Calculate the remainder when x is divided by 29.
28
Let a(t) = -2*t + 1. Let q(c) = 3*c + 3. Let i be q(-3). Suppose 207 + 437 = 28*j. What is the remainder when j is divided by a(i)?
10
Let z = 18 + -36. Let j = -15 - z. Suppose -j*q - 5*i = -52, 4*q + 3*i - 6*i = 108. What is the remainder when q is divided by 13?
11
Suppose -4*c = -5*t - 28, 2*c + 2*t - 4 = -8. Suppose -c*q = 2*q - 76. Let k(f) = -2*f + 23. What is the remainder when k(-7) is divided by q?
18
Let u = 4 + -2. Suppose -k - 4*f + 8 = 0, -5*k - u*f + 84 = -4*f. Suppose -62*h = 15*h - 4620. What is the remainder when h is divided by k?
12
What is the remainder when 166 is divided by 161 - 50/(2 + -12)?
0
Let b(d) = d**3 - 2*d**2 - d + 2. Suppose -2*z = -3*u + 61, 0*z - 84 = -4*u + 2*z. What is the remainder when u is divided by b(3)?
7
Suppose -4*n = -4*u + 104 + 40, n = -3*u + 128. Suppose 0*p + 4*p - 38 = -m, 2*p - 74 = -3*m. Calculate the remainder when u is divided by m.
19
Suppose -7 - 8 = -v. Suppose -11 = m + 6*s - 4*s, 0 = -4*s - 32. Calculate the remainder when v is divided by m.
0
Suppose 3*z = 4*b + 259, 4*z + 7*b = 6*b + 320. What is the remainder when z is divided by 41?
40
Let i = -143 - -278. What is the remainder when i is divided by 30?
15
Let l(o) = o - 6. Let g be l(13). Calculate the remainder when (-16 - -2)/(-2)*g - -1 is divided by 13.
11
Let k = -24 + 59. Let u(j) = 4*j**3 + 4*j**2 - 4*j + 1. Calculate the remainder when u(3) is divided by k.
28
Let m be 6/(-8) + 1/(-8)*-94. Let c = 33 - m. Calculate the remainder when 81 is divided by c.
15
What is the remainder when 1*44 + -4 + 4 is divided by -6 - (5 - (29 + -1))?
10
Suppose 5*o - 5*i - 257 - 758 = 0, -8 = 4*i. Suppose o + 33 = 9*b. Calculate the remainder when b is divided by 14.
12
Suppose 21*i - 37 = 18*i + 2*m, 16 = -i - 5*m. Let z(g) = g**2 - 1. What is the remainder when z(6) is divided by i?
8
Let c(z) = 6*z**2 + 3*z + 2. Let j be c(-1). Let l = 11 - 3. What is the remainder when (j - (-18 + 4)) + -4 is divided by l?
7
Suppose n = 5*d - 79, 2*d - 7*d - 143 = 2*n. Let z = 112 + n. Let a = -1100 - -1120. What is the remainder when z is divided by a?
18
Suppose -2*q - 30 = 5*o - 10*o, 42 = 4*o + 2*q. Calculate the remainder when 60 is divided by (18/4)/(4/o).
6
Suppose 2*p - 3 = 3. Let h(z) = -z + 3. Let m be h(p). Let k = m - -38. What is the remainder when k is divided by 20?
18
Let v be ((-12)/(-14) - 1) + 16524/126. Suppose -254 - v = -11*r. What is the remainder when 100 is divided by r?
30
What is the remainder when 1211 is divided by (-1)/(10 - (-1057)/(-105))?
11
Let o(a) be the third derivative of -a**6/120 - a**5/30 - a**4/24 + 10*a**3/3 + 25*a**2. Calculate the remainder when 94 is divided by o(0).
14
Suppose n - j = j - 2, 20 = 5*j. Suppose 3*s - s = n. Let v = 5 - s. What is the remainder when 2 is divided by v?
0
Let l = 6 - -6. Let m be 1*((-236)/6)/(4/6). Let d = 80 + m. Calculate the remainder when d is divided by l.
9
What is the remainder when 81 is divided by -5*(1230/(-50))/3?
40
Suppose 4*k = 15*k - 495. Calculate the remainder when 313 is divided by k.
43
Let o be (-1 - 1)/2*-29. Suppose o = 4*c - 7. Suppose -6*s + 2*s + 4*n = -104, -3*n = -2*s + 52. What is the remainder when s is divided by c?
8
Let k(o) = -3*o**3 - 27*o**2 + 25*o + 19. Calculate the remainder when k(-10) is divided by 5.
4
Suppose -2*u = -6*j + 4*j + 2, 0 = 3*u + 5*j + 27. Let f = -1 - u. What is the remainder when 10 is divided by f?
1
Let p be (9 - 9)/(-3 - -1). Suppose 0*x - x + 13 = -3*a, x + 2*a + 2 = p. What is the remainder when 13 is divided by x?
1
What is the remainder when -399*(-3)/(-2)*10/(-45) is divided by ((-3)/4)/((-4)/144)?
25
Let n(z) = z**2 + 7*z - 8. Let m be n(-8). Suppose m = j - 4*d - 117, -3*d - 70 - 236 = -3*j. What is the remainder when j is divided by 33?
31
Let g = 67 + -16. Suppose -3*v + 2 = b - 3, v = -2*b + 25. What is the remainder when g is divided by b?
9
Let p(c) = -c**3 + c**2 + 9*c + 7. Calculate the remainder when 59 is divided by p(-3).
11
Calculate the remainder when 888/15 + 7/(-35) is divided by 9.
5
Let p(d) = d**2 + 11*d + 16. Let y be p(-11). Let h = 42 - y. Calculate the remainder when 50 is divided by h.
24
Let j = 90 + -58. Let s(r) = 3*r**2 + 9*r - 18. What is the remainder when j is divided by s(-5)?
8
Let a be (9 - (-4 + 5)) + -4. Suppose h + 2*c - 29 = -1, -a*h + 2*c = -82. What is the remainder when 64 is divided by h?
20
Let o = -6 - -11. Suppose -o*z = -7*z + 6. Suppose -6 = z*q - 33. What is the remainder when 23 is divided by q?
5
Let b(n) = 13. Let v(s) be the first derivative of s**2/2 + 51*s - 6. Let k(d) = -9*b(d) + 2*v(d). Calculate the remainder when 42 is divided by k(15).
12
Let p(f) = 3*f - 86. Calculate the remainder when 120 is divided by p(49).
59
Let d(t) be the third derivative of t**6/120 - 7*t**5/30 + t**4/24 + 8*t**3/3 + 17*t**2. Calculate the remainder when d(14) is divided by 11.
8
Suppose 4*a - a = 54. Let u be 4/(-3)*18/4. Calculate the remainder when 58 is divided by a + (-3)/(-6)*u.
13
Let c(v) be the first derivative of v**3/3 - 6*v**2 - 20*v + 25. Let b = -11 + 24. What is the remainder when b is divided by c(14)?
5
Let s = -4 + 6. Suppose 54 = s*y + 2*y - h, y - h = 15. Suppose 5*k = -2*g + 28, 29 = 3*g - 4*k - y. Calculate the remainder when 27 is divided by g.
13
Suppose 38*i = 2972 + 144. What is the remainder when i is divided by 43?
39
Let s(v) = -v**3 + 4*v**2 + 9*v + 4. Let u be s(6). Calculate the remainder when (-4)/u - 2370/(-35) is divided by 14.
12
Suppose 5*a - 1427 = -3*b, 3*b + 11*a - 1418 = 15*a. What is the remainder when b is divided by 60?
54
What is the remainder when ((-24)/(-10))/((-2)/(-10)) is divided by (-10 + 5)*(-35)/25?
5
Let k(f) = -2*f**3 - 6*f**2 + 6*f + 9. Let q(l) = 4*l + 15. Let n be q(-5). What is the remainder when k(n) is divided by 20?
19
Let c(s) = -s - 1. Let i be c(-6). Suppose -i*v - 117 = -552. What is the remainder when v is divided by -33*5/(15/(-2))?
21
Let h = -7 + 12. Let i be 2 - 7/(28/(-160)). Suppose -3*j - 2*v = -0*j - i, v - 29 = -2*j. What is the remainder when j is divided by h?
1
Let z(v) = -v**3 + 6*v**2 + 18*v. Calculate the remainder when 156 is divided by z(8).
12
Let j = -721 + 750. Suppose -4 = 2*r, p + 3*p + 336 = 2*r. Let l = 1 - p. Calculate the remainder when l is divided by j.
28
Suppose 2 = -n + 4, -4*p + 1926 = 5*n. Suppose 7*d = 137 + p. What is the remainder when d is divided by 30?
28
Suppose -v = 2 - 0. Let k = 193 + -251. What is the remainder when 56 is divided by ((-4)/v)/((-4)/k)?
27
Calculate the remainder when 48/6 + 6 - 2 is divided by 6.
0
Let u(a) be the second derivative of 1/12*a**4 + 3*a**5 - 1/6*a**3 + 0 + 6*a + 1/2*a**2. What is the remainder when u(1) is divided by 16?
13
Let y(z) = -13*z - 497. Let l be (-3 + -1)*3/4. What is the remainder when (l/2)/3*-58 is divided by y(-39)?
9
Let o(w) = w**2 + 35*w - 66. What is the remainder when o(-39) is divided by 46?
44
Let h(a) be the first derivative of -a**4/4 + 14*a**3/3 - 23*a**2/2 + a - 42. Calculate the remainder when 34 is divided by h(12).
8
Suppose -5*x = 5*m - 25, -2*m + 5 = -x - 2. What is the remainder when 5 is divided by m?
1
Let m be ((-1)/3)/((-1)/9). Suppose -m*z = 5*w - 53, 4*w = -w - 25. Suppose 4*g + 12 = 2*p, -4*p - 4*g = -g - 68. What is the remainder when z is divided by p?
12
Suppose 4*z + 0*w = -w + 5, -5*z + 2*w + 16 = 0. Suppose z*v - 2 = 36. Let m(t) = -t**3 + 11*t**2 + t - 6. Wha