
22
Suppose 99 = 7*p - 4*p + 2*x, 3*p - 4*x = 99. Calculate the remainder when 162 is divided by p.
30
Let o(t) = 2*t**2 + 5*t + 99. What is the remainder when o(-8) is divided by 25?
12
Let f = 33 - 61. Let v = -23 - f. Suppose 0 = v*c + 11 - 101. What is the remainder when 33 is divided by c?
15
Suppose -2*h + 305 = -0*h - l, -2*h = -3*l - 303. Suppose 0 = -2*o + 5*o - h. What is the remainder when o is divided by 1 - ((-6)/(-3) + -19)?
15
Suppose -3*s = 4*b - 203, 196 = -0*b + 4*b - 4*s. What is the remainder when 397 is divided by b?
47
Suppose 2*s - 3*s = -2*d - 8, 5*s + d = -15. Let b(i) = 7*i**2 + 3*i - 2. What is the remainder when (-452)/(-12) + (-1)/(-3) is divided by b(s)?
18
Suppose 0*g - 2*g = -38. What is the remainder when (814/121)/((-4)/(-44)) is divided by g?
17
Suppose -d - 6 = -5*k, -k = -5*d + 16 + 2. Suppose -u + h = -3*h, -3*u + 24 = -d*h. What is the remainder when u is divided by 2?
0
Let j(r) = -2*r + 2. Let t be j(1). Suppose t = 7*g - 11 - 150. Calculate the remainder when g is divided by 14.
9
Suppose 17 - 23 = 3*v. Calculate the remainder when 36/(2 - v) + 3 is divided by 5.
2
Suppose 2*k = 5*w + 50, -w = -k + 31 - 12. Calculate the remainder when 25 is divided by k.
10
Suppose j = 3*r - 328, 4*r - j + 4*j = 433. Let q = 1918 - 1890. What is the remainder when r is divided by q?
25
Let n(q) = 3*q**2 + 13*q + 24. What is the remainder when n(-7) is divided by 12?
8
Suppose -i = j + 2, 5*i = j - 0*j + 32. Let h(b) = -2*b**3 - b**2 - b + 2. Let m be h(1). Calculate the remainder when 11 is divided by m - -4 - j/7.
2
Suppose 0 = 8*v - 3*v + h - 89, -21 = -v + 3*h. Suppose 11*i + v = 13*i. Let t = 9 - 4. Calculate the remainder when i is divided by t.
4
Let l(m) be the first derivative of -m**4/4 - 4*m**3 - 10*m**2 + 9*m + 36. Calculate the remainder when 188 is divided by l(-10).
8
Let m = 62 - -145. What is the remainder when m is divided by 19?
17
Let q = -15 - 3. Let r = q - -29. Calculate the remainder when 3/(-12) - 868/(-16) is divided by r.
10
Let g(b) = -b**3 + 9*b**2 + 10*b + 11. Let r(c) = 11*c**2 - 1. Let y be r(1). What is the remainder when g(y) is divided by 4?
3
Let x(w) = -w**2 - 3*w + 28. Let o be x(-7). Suppose 2*y - 2 - 16 = o. What is the remainder when y is divided by 7?
2
Let g = -14 - -10. Let c = 20 + g. Calculate the remainder when 30 is divided by c.
14
Let p = 171 + -162. What is the remainder when 348 is divided by p?
6
Let o(d) = -2*d**3. Let h be o(-1). Let l(z) = 14*z**2. Let j be l(h). Let u = j + 0. What is the remainder when u is divided by 15?
11
Suppose 18*i - 7*i - 1309 = 0. Suppose 42 = 6*w - 150. Calculate the remainder when i is divided by w.
23
Suppose 45*c - 37*c = 104. What is the remainder when 24 is divided by c?
11
Let n(a) = a + 7. Suppose 5*z - 4*s - 6 = 3*z, s = 0. Let y be n(z). What is the remainder when 4/5 + 562/y is divided by 15?
12
Let y be 3 - ((-33)/4)/(12/48). Let n = y - -29. Calculate the remainder when n is divided by 23.
19
Let q(z) = -z**3 + 5*z**2 - z + 41. What is the remainder when 283 is divided by q(0)?
37
Let k be (-10)/(-35) - 26/(-7). Suppose -2*i - k = -36. Suppose -3*f = -2*f + b - 4, 4*b + 20 = 2*f. Calculate the remainder when i is divided by f.
4
Let s = -862 - -1045. Calculate the remainder when s is divided by 174.
9
Let o(u) = -23*u + 1165. What is the remainder when 174 is divided by o(49)?
22
Let n = -225 + 376. What is the remainder when n is divided by 76?
75
What is the remainder when 45 is divided by (-29 + -1)/6 + (32 - -5)?
13
Let q(d) = d**3 + 4*d**2 - 2*d - 2. What is the remainder when (-11 - 175/(-10))*6 is divided by q(-2)?
9
Let c be ((-20)/5 + 4)/1. Suppose 5*m + 1 - 31 = c. What is the remainder when 17 is divided by m?
5
Suppose 13 + 17 = 5*o. Let g = -40 - -61. Calculate the remainder when g is divided by o.
3
Let b = 1535 + -775. Suppose 2*g + 2*g = -88. What is the remainder when 55 is divided by (-4)/g + b/55?
13
Suppose 0 = -z, -3*r + 0*r = -2*z - 294. Suppose -2*v - 4 = -4*i - r, -5*v - 2*i + 247 = 0. Calculate the remainder when 97 is divided by v.
48
Let j(t) = 13*t - 80. Suppose -2*h = -19 - 27. Suppose 0 = -f - 6 + h. Calculate the remainder when j(10) is divided by f.
16
Let y(k) = 4*k + 8*k - 7*k - 6 - 4*k**2 + 2*k**2. Let g be y(4). Calculate the remainder when 35 is divided by (20/(-15))/(2/g).
11
Let j(r) = -7*r**2 + 11*r + 3. Let a(z) = -8*z**2 + 12*z + 2. Let t(g) = 3*a(g) - 4*j(g). Calculate the remainder when 90 is divided by t(4).
12
Suppose -4*q = -6 - 14. Let o(d) = 2*d**2 - 5*d + 2. What is the remainder when 134 is divided by o(q)?
26
Let w = -11 - -18. Let j(u) = 3*u**2 - 15*u - 12. Calculate the remainder when 56 is divided by j(w).
26
Let p be 374/33 - 2/(-3). Let l = p + 34. What is the remainder when 89 is divided by l?
43
Suppose 0 = -3*l - h + 179, -l + h - 119 = -3*l. Calculate the remainder when 93 is divided by l.
33
Let y = -406 + 468. Calculate the remainder when 238 is divided by y.
52
Suppose 26 = -9*l + 22*l. Suppose -11*c + 126 = -l*c. Calculate the remainder when 53 is divided by c.
11
Let y = 855 - 845. Let g be 9*(2/(-1))/(-2). What is the remainder when y is divided by 4/(-3)*g/(-2)?
4
Let m(p) = 2*p. Let o be m(1). Suppose 0 = 5*j - 19 + 4. Suppose o*x + j*s - 2 = 9, -x - 4*s = -8. Calculate the remainder when 11 is divided by x.
3
Suppose -3*p - 5*q = -350, -p + 3*p - 230 = -4*q. Calculate the remainder when p is divided by 18.
17
Suppose -4*i - 1 = -5. Let u = 10 - i. Calculate the remainder when 0 + ((-24)/(-8) - -28) is divided by u.
4
Suppose 0 = -3*k - 2*k + 45. Calculate the remainder when (-61)/(-4)*2 - (-1240)/496 is divided by k.
6
Let j(c) = -c**2 + 8*c + 8. Suppose -116*w + 120*w - 12 = 0. What is the remainder when j(8) is divided by w?
2
Suppose -435 = 4*d - 9*d - 3*i, 3*i = 0. Suppose 2*v + 20 = 5*h + v, 4*v + 23 = h. Let n(s) = 5*s + 3. Calculate the remainder when d is divided by n(h).
15
Let z be 30 - (-5 - ((-4)/(-4) - 3)). What is the remainder when (261/18)/(-1 + z/30) is divided by 37?
34
Suppose 3*m - 3*i = 15, -i = m - 7 - 6. Calculate the remainder when 35 is divided by m.
8
Suppose 2*j = -s + 233, -5*s - 2*j + 4*j = -1129. Let h = s - 160. What is the remainder when h is divided by 35?
32
Suppose 205 = -5*c + 9*c + 3*n, -255 = -5*c - 5*n. Calculate the remainder when 516 is divided by c.
48
Let l = 23 + -15. Suppose -l*s = -7*s - 9. Calculate the remainder when -2*(39/(-2) + 2) is divided by s.
8
Suppose 5*c - 54 = 21. Suppose -3*s + 106 = -20. Calculate the remainder when s is divided by c.
12
Let f(b) be the second derivative of b**4/6 + b**3/2 - b**2/2 - 8*b. Let v be f(2). Let y = v - 10. Calculate the remainder when 3 is divided by y.
0
Let q = 1502 + -1383. What is the remainder when q is divided by 33?
20
Suppose 93 = 7*t - 61. Calculate the remainder when 60 is divided by t.
16
Suppose 3*b - 2120 = -17*b. Calculate the remainder when b is divided by 37.
32
Suppose -17*o + 12 = -15*o + 4*u, 2*o = 4*u + 28. Let x = 33 - 14. What is the remainder when x is divided by o?
9
Let k(f) = 2*f**3 - 6*f**2 - 13*f - 24. What is the remainder when k(8) is divided by 27?
26
Let n(k) = 2 - 14*k + 13*k + 18. Calculate the remainder when n(8) is divided by 3.
0
Suppose 0*k = -2*k + 3*s + 37, -3*s = -k + 26. Suppose 50 = 11*f - 280. Calculate the remainder when f is divided by k.
8
Suppose 3156*r = 3150*r + 546. What is the remainder when r is divided by 62?
29
Let u = 29 + -19. Let t be 15 - 0*5/u. What is the remainder when (-3)/(t/(-43))*5 is divided by 11?
10
Suppose 4*n + 365 = -n. Let w = 124 + n. Calculate the remainder when w is divided by 13.
12
Suppose 15*n - 166 = 734. Calculate the remainder when 349 is divided by n.
49
Let s = -447 - -627. Suppose 0 = 7*f - 2*f - s. What is the remainder when f is divided by 19?
17
Let i = 50 + -34. Let w = -378 + 419. What is the remainder when w is divided by i?
9
Let d = -47 + 52. Suppose d*o + v + 15 = 55, -55 = -5*o + 2*v. What is the remainder when 22 is divided by o?
4
Let j(o) = -o**3 - 23*o**2 - 2*o - 25. What is the remainder when 40 is divided by j(-23)?
19
Let f = 15 + 15. Calculate the remainder when 47 is divided by (-18)/5*f/(-9).
11
Suppose -2*m + 28*m - 1846 = 0. What is the remainder when m is 