3*f + 5*p + b. What is the remainder when f is divided by 12?
9
Suppose 3*m + 98 = 4*s - 4, 3*m = 5*s - 126. Calculate the remainder when 311 is divided by s.
23
Let m = -9 + 20. Suppose -3*g = -m*g + 472. Let q = g - 36. Calculate the remainder when q is divided by 12.
11
Suppose 0 = -4*y, 2*i + 3*y = -0*y - 20. Calculate the remainder when ((-5)/(i/(-51)))/(1/(-2)) is divided by 18.
15
Let q = 689 - 513. Calculate the remainder when q is divided by 12.
8
Let q = -4407 - -7030. Calculate the remainder when q is divided by 21.
19
Suppose -2*f = -9*f + 259. Let v(t) = t**2 + 2*t - 2. Suppose 5*r + 13 = -3*x, -r - x - 17 = -4*x. Calculate the remainder when f is divided by v(r).
11
Let s(q) = -2*q - 8. Let d be (-6)/9 - 17/(-3). Suppose -d*h + h = -12. What is the remainder when s(-8) is divided by h?
2
Suppose -5*l = -3*u - 495, -17 + 314 = 3*l + 5*u. What is the remainder when l is divided by 18 - (1 - (-1 - -1))?
14
Let z(l) = l**2 + 23*l + 42. Calculate the remainder when 210 is divided by z(-24).
12
Let j(a) = -a**3 - 8*a**2 + 2*a - 6. Let g be -1 + 9 + 10 + -7. Calculate the remainder when j(-9) is divided by ((-2)/4)/(g/(-440)).
17
Suppose -28*t + 360 = -8*t. Let f = 37 - 2. Calculate the remainder when f is divided by t.
17
Suppose -2*p - 2512 = -18*p. Calculate the remainder when p is divided by 25.
7
Let a = -485 - -705. What is the remainder when a is divided by 74?
72
Let c = 1148 + -1121. Let q(w) = 8*w - 6. Calculate the remainder when q(7) is divided by c.
23
Suppose -2*a + 5*j + 655 = 0, 5*j = -5*a + a + 1355. Calculate the remainder when a is divided by 16.
15
Suppose 2*m - 32 + 20 = 0. Suppose 4*w - 2*l + 3*l + 161 = 0, -w - 32 = 3*l. Let h = w + 62. What is the remainder when h is divided by m?
3
Suppose -2 = -2*s + 4. Suppose -4*q - 12 = -4*l, -s*l + 2*q = -5*l + 14. Calculate the remainder when (3 - (-7)/2)/((-8)/(-16)) is divided by l.
3
Suppose s + 0*z + z - 10 = 0, 3*z = 0. Suppose -5 = -5*x + 110. Suppose -2*c + x = 3*h, 4*c - 104 + 23 = h. What is the remainder when c is divided by s?
9
Suppose -25*r + 26*r - 99 = 0. Let g = 120 - r. What is the remainder when 58 is divided by g?
16
Let j(y) = 3*y + 5. Let f(w) = -2*w**2 - 64*w + 77. Calculate the remainder when f(-32) is divided by j(5).
17
Suppose 5*n + d + 2 = -3*d, 3*n - 18 = 4*d. Suppose 0 = x - f - 25, 4*x + 3*f = -x + 93. Suppose -h = -x + n. What is the remainder when 113 is divided by h?
18
Suppose 532*s - 524*s - 256 = 0. Calculate the remainder when s is divided by 11.
10
Let c = 21 + 74. Suppose -4*o - 2*u = -132, -2*o = -3*o + 2*u + 33. Calculate the remainder when c is divided by o.
29
Let f be (6 - 0) + (-2)/2. Suppose 2*d - f*a = -2*a + 33, 2*a = 5*d - 88. What is the remainder when 84 is divided by d?
12
Let p(b) = b**3 - 22*b**2 + b - 14. Suppose 6 + 6 = 4*x. Suppose -41 = -x*o + 22. What is the remainder when o is divided by p(22)?
5
Let z(u) = -7*u - 1. Let w(c) = 4*c + 1. Let x(o) = 5*w(o) + 3*z(o). Let r be -14 + (-3)/(6 - 3). Calculate the remainder when 32 is divided by x(r).
15
Let y(w) = 2*w**2 - 8*w - 6. Calculate the remainder when y(6) is divided by 30/(4 + 1) - -2*2.
8
Let t be (-66)/24 - 6/(-8). Calculate the remainder when (45/t)/((-12)/16) is divided by 8.
6
What is the remainder when 398 is divided by -2 + 17/((-34)/(-104))?
48
Suppose 4*y + 3*r = -2*r - 505, -y + r = 115. Calculate the remainder when 46 is divided by (14/(-35))/(2/y).
22
Let s(g) = 7*g + 12. Let a(x) be the first derivative of -15*x**2/2 - 24*x - 1. Let b(n) = -4*a(n) - 9*s(n). What is the remainder when 45 is divided by b(-8)?
9
Suppose -183 = -7*y + 1539. Calculate the remainder when y is divided by 8.
6
Let b(k) = k**3 + 11*k**2 - 13*k - 12. Let o be b(-12). Suppose o = -0*g - 2*g + 188. What is the remainder when g is divided by 24?
22
Let r = -3 - -6. Suppose -f + i = -89, -2*i - r*i = 20. What is the remainder when f is divided by 22?
19
What is the remainder when 2 - 7 - -374 - 2 is divided by 46?
45
Suppose -x = 1 - 5. Suppose -x*u - u = -115. What is the remainder when u is divided by ((-30)/(-9) + 1)/(2/6)?
10
Let g(t) = t - 15. Let v(x) be the third derivative of -x**4/12 - 5*x**3/3 - x**2. What is the remainder when g(20) is divided by v(-7)?
1
Suppose 55*a - 84 = 43*a. Suppose 4*v - 14 = 54. Calculate the remainder when v is divided by a.
3
Let h(q) = 13*q - 455. Calculate the remainder when 1726 is divided by h(36).
10
Suppose -166 = -3*s - 58. Suppose 3*d + 2*a - 45 + 15 = 0, -4*d + 40 = -5*a. What is the remainder when s is divided by d?
6
Suppose 0 = -h - 3 + 9. Suppose 102 = -15*m + 807. Calculate the remainder when m is divided by h.
5
Let x(y) = y**2 - 32*y - 196. What is the remainder when (-14)/49 + (-2202)/(-14) is divided by x(-6)?
29
Let w be -6 - -23 - (-3 + 1). Suppose -3*m + d + w = -7*m, -m - 1 = d. Let a(z) = -8*z - 17. What is the remainder when 122 is divided by a(m)?
29
Let i(q) = 8*q**2 - 5*q + 7. Let a be i(3). Let f = a + -21. Calculate the remainder when f is divided by 11.
10
Let n(z) be the third derivative of z**4/24 - 3*z**3/2 - 6*z**2. Calculate the remainder when 4 is divided by n(12).
1
Suppose 0 = -16*k + 3608 - 584. Suppose 23*p - 2*p = k. What is the remainder when p is divided by 4?
1
Suppose -2*i = -4*v + 666, -2*v + 0*i = 5*i - 339. Suppose 165*f = 159*f + 252. Calculate the remainder when v is divided by f.
41
Let t(w) be the second derivative of w**5/20 + w**4/2 - 5*w**3/6 - 3*w**2/2 - 10*w. Calculate the remainder when 80 is divided by t(-6).
26
Suppose 0 = -q - 3*y + y - 2, -5*q = 2*y - 6. Calculate the remainder when 32 is divided by 2*(q + (-36)/(-8)).
6
Suppose 3*t = 131 + 64. Calculate the remainder when 191 is divided by t.
61
Let y = -72 - -32. Let b = y + 50. Calculate the remainder when 13 is divided by b.
3
Let p(k) = 23*k - 17. Let y be p(4). Suppose -25 = -4*u + y. What is the remainder when 69 is divided by u?
19
Let w(b) = -209*b**3 - 3*b**2 - 8*b + 2. Calculate the remainder when w(-2) is divided by 70.
68
Suppose 543 + 285 = 23*f. Calculate the remainder when f is divided by 22.
14
Suppose 0 = -5*d - 3*m + 2683, d - 6*m - 535 = -7*m. What is the remainder when d is divided by 30?
29
Let j be (-6)/((33/(-18))/11). Let r = 0 + j. What is the remainder when 59 is divided by r?
23
Suppose -4*r - 3*f = -379, 17*r - 4*f = 12*r + 497. What is the remainder when r is divided by 33?
31
Suppose w = 2*w. Let y(l) = 14*l - 5. What is the remainder when y(2) is divided by (-9)/(-3 - w) - -10?
10
Suppose 3*i - 3 = 21. Suppose 5*j + 195 = i*j. Suppose -3*d + j = 2*d. What is the remainder when 51 is divided by d?
12
Let i = -25 - -25. Suppose -5*x + 15 = -i*x. Suppose -2*a + 30 = a - 4*n, -n - 27 = -4*a. What is the remainder when a is divided by x?
0
Suppose 138 = 4*l + 42. Calculate the remainder when 33 is divided by l.
9
Let s(j) = -j + 1. Suppose 2*u = 4*p - 30, 0*p - 5*u = -4*p + 39. Calculate the remainder when s(-5) is divided by p.
0
What is the remainder when (80/15)/((-6)/(-36)) is divided by 1?
0
Suppose -b + 126 = 3*p - 87, b - p = 205. What is the remainder when b is divided by 30?
27
What is the remainder when 189 is divided by ((-1278)/497)/((-3)/28)?
21
Calculate the remainder when 465 is divided by 15*(-2 + -2 - 360/(-75)).
9
Let f(p) = p**3 - 5*p**2 + 4*p - 2. Calculate the remainder when f(5) is divided by 10.
8
Suppose -2*j + 69 = y, -5*j - 2*y + 6*y = -166. Calculate the remainder when 100 is divided by j.
32
Let f(a) = a**3 - 13*a**2 + 22*a + 34. Calculate the remainder when 167 is divided by f(11).
31
Let j = -224 + 259. Calculate the remainder when 134 is divided by j.
29
Let p(t) = t**2 + 5*t - 5. Calculate the remainder when p(-9) is divided by 17.
14
Let m = 103 + -232. Let r = -120 - m. Calculate the remainder when 17 is divided by r.
8
Calculate the remainder when 0 - 106*(-9)/6 is divided by 84.
75
Let u(g) = -2*g + g**3 - 9 - g + 0*g + 0*g + 13*g**2. What is the remainder when u(-13) is divided by 16?
14
Let z be (1 - (-7)/2)*6/9. Suppose 4*a + z*o - 39 = 0, 5*a + 0*o = o + 63. Calculate the remainder when 58 is divided by a.
10
Let g(b) = -4*b**3 - 5*b**2 - b + 9. Calculate the remainder when 524 is divided by g(-3).
74
Suppose -19*i + 118 + 186 = 0. Calculate the remainder when