)?
8
Let r(q) be the third derivative of -q**4/12 + q**3/6 - 21*q**2. Calculate the remainder when r(-13) is divided by 16.
11
Suppose 89*i - 93*i = -96. What is the remainder when 453 is divided by i?
21
Let i(m) = m**3 - 11*m**2 + 7*m - 2. Let l be i(11). Suppose 10*v - l = 7*v. Calculate the remainder when v is divided by 13.
12
Suppose -1452 = -10*v - 2*v. Calculate the remainder when v is divided by 43.
35
Suppose -3*f + 25*q - 24*q = -102, 4*f = 3*q + 131. Calculate the remainder when 451 is divided by f.
31
Suppose -j + 5 = 4*j. Let c = -3431 + 3432. What is the remainder when j is divided by c?
0
Let a = -310 + 534. What is the remainder when a is divided by 5?
4
Let k be (11 + -6)*(-8)/10. What is the remainder when 16 is divided by 0 - k - (15 + -20)?
7
Suppose -3*x + 17 = 5*z, 0 = 4*x - 2 - 14. Let n be (-1 + 2 + z)/(-2). Let f(d) = -17*d. What is the remainder when 31 is divided by f(n)?
14
Let j(g) = 3*g + 4. Let k be j(-4). Let f = k - -37. Suppose -t - 53*y + 49*y = 4, 97 = 7*t + 3*y. Calculate the remainder when f is divided by t.
13
Suppose 98 = -2*s - 2*h, 0 = 2*s + 3*s + 3*h + 237. What is the remainder when (-972)/s - (-4)/10 is divided by 8?
6
Calculate the remainder when 108 is divided by (-83)/(-3) - 12/(-36).
24
Suppose 2*y + 9 = -1. Let q = 10 + 2. Let l = q + y. Calculate the remainder when l is divided by 3.
1
Suppose -2*f - 4*f = 13*f. Suppose 11*c - 5*c - 24 = f. Calculate the remainder when 59 is divided by c.
3
Let n be -29*(-3)/6*-2. Let v = -19 - n. Calculate the remainder when 46 is divided by v.
6
Let f = 331 + -175. Suppose 3*n - 6*n + f = 0. What is the remainder when n is divided by 8?
4
Let a(r) = -80*r + 1850. Suppose -5*q + 26 = -2*t, 3*t - 1 = -4*q + 6. Suppose q*n + 8 = 32. Calculate the remainder when a(23) is divided by n.
4
Let t = -76 + 19. Let m = t - -63. What is the remainder when 23 is divided by m?
5
Let a = 1 + 2. Suppose -w - 4*b + 42 = 0, -3*w + a*b - 5*b = -86. What is the remainder when 76 is divided by w?
24
Suppose -2*i - 34 = -5*b, 4*i + i = 5*b - 25. Suppose 5*x + 53 = -22. What is the remainder when 36/x*(-150)/12 is divided by b?
6
Let a(q) = q**2 + 2*q - 4. Suppose 16*b - 18 = 62. Suppose 3*t = b*i + 108, -5*t + 74 = -3*t - 4*i. Calculate the remainder when t is divided by a(3).
9
Let y(k) = -k**2 + 3*k + 2. Let f be y(3). Let u(a) = 12*a**f + 13*a + 11 + 9*a + a**3 - 11*a. What is the remainder when u(-11) is divided by 7?
4
Suppose -8*l = 2*b - 3*l + 35, b - 5*l - 20 = 0. What is the remainder when 6 is divided by 0 + (0/b - -2)?
0
Let u(o) = 6*o**3 - 4*o**2 + o + 6. Suppose -g + 0*g - 17 = -4*v, -4*g + 5*v = 13. Calculate the remainder when u(g) is divided by 35.
30
Let p(n) = 2*n**3 + 17*n**2 + 5*n - 5. Suppose 2*l = 99 + 47. What is the remainder when l is divided by p(-8)?
16
Suppose c = 5*f + 4*c - 776, 0 = 3*f - 5*c - 452. What is the remainder when f is divided by 32?
26
Let k be (1 + -15)/(1/(-2)). Suppose -2*g = 2*g - k. Calculate the remainder when g is divided by 6.
1
Let c = -5 - -16. Suppose -c*y - 15 = -6*y. Let v = 5 + y. Calculate the remainder when 4 is divided by v.
0
Suppose 22 = 4*u - 158. Let c(b) be the third derivative of 2*b**4/3 - 5*b**2. What is the remainder when u is divided by c(1)?
13
What is the remainder when 72/612 + 6781/17 is divided by 101?
96
Let v = 4319 - 4202. Calculate the remainder when v is divided by (-444)/(-15) - (-2)/5.
27
Let a(k) = -2*k**2 + 66*k - 44. What is the remainder when a(26) is divided by 47?
38
Let m = 40 - -3. Let j = m + -17. Calculate the remainder when j is divided by (0 - -3)*(1 - -2).
8
Let s = 39 + -36. What is the remainder when 9 is divided by s?
0
Suppose 10*f + 770 = 32*f. Let m = -5 + 7. Suppose 8 = -4*x, -2*u - 53 = -5*u - m*x. Calculate the remainder when f is divided by u.
16
Let c(i) = 3*i**2 + 5*i + 2. Suppose 12 = 4*p - 40. What is the remainder when p is divided by c(1)?
3
Let m = 2027 - 2017. What is the remainder when 416 is divided by m?
6
Let a(t) = -5*t - 80. Calculate the remainder when a(-26) is divided by 46.
4
What is the remainder when (-3 + 6/1)*14 is divided by 4/(-14) + (2 - (-186)/14)?
12
Calculate the remainder when 192 is divided by 6/21 + (-2718)/(-42).
62
Let m(h) = 4*h**3 - 23*h**2 - 13. Suppose -4*x + 0*x = -268. What is the remainder when x is divided by m(6)?
21
Suppose 205 = 5*z - 5*g, 5*z - 201 = -0*g + 4*g. Let s = -26 + z. What is the remainder when 43 is divided by s?
10
Let a(o) = 5*o - 85. Calculate the remainder when a(51) is divided by 61.
48
Suppose g = 2 + 2. Suppose 0*f - 3 = -3*f + 3*s, g*s = 5*f - 8. Suppose 5*r - f*r = 9. What is the remainder when r is divided by 6?
3
Let a be 2*3/(-6) + 25. Suppose -3*b + v + 35 = 0, -2*b + 18 = 4*v - a. What is the remainder when 15/5*38/3 is divided by b?
12
What is the remainder when ((-252)/315)/(2/(-270)) is divided by 52?
4
Let c(h) = 2*h**3 - h + 61. Suppose 3*d - 7*g = -4*g + 3, -2 = 5*d + 2*g. What is the remainder when c(d) is divided by 16?
13
Suppose 0 = -6*q + q + 15, -k + 5*q - 3 = 0. Let x be 4/k - (-5)/3. Suppose 0*d + x*d - 22 = 0. What is the remainder when d is divided by 7?
4
Suppose 10 - 60 = -5*l. What is the remainder when 2*(-1)/(-2)*l is divided by 3?
1
Let b(k) = -2*k**2 - 44*k + 38. Calculate the remainder when 151 is divided by b(-22).
37
Suppose -3*u = -43 - 38. Let c = -11 + u. Calculate the remainder when (-1338)/(-22) + 16/88 is divided by c.
13
Calculate the remainder when 44 is divided by 1/(1/(-4) + 3/10).
4
Suppose 5*j + 3*d = 5091, -225*d + 3075 = 3*j - 230*d. What is the remainder when j is divided by 7?
5
Suppose 33 = -4*a - 27. Let d = a - -26. Let t(p) = -15*p - 4. Calculate the remainder when t(-3) is divided by d.
8
Suppose -a + 1 + 2 = 0. Suppose -a*c + 4*g - 5 = -34, -2*g = -c + 13. Let b(s) = 13*s - 3. What is the remainder when b(c) is divided by 19?
17
Suppose 2*v = -v + 3*n - 60, 5*n - 28 = v. Let f = 35 - v. Calculate the remainder when f is divided by 28.
25
Let i(n) = 127*n**3 + n**2 - 3*n + 2. Calculate the remainder when i(1) is divided by 36.
19
Let u = -13 - -16. Suppose u*s + y - 36 = 0, 3*s - 5*s + 4*y + 38 = 0. What is the remainder when 47 is divided by s?
8
Let m(w) = -w**3 - 12*w**2 - w - 1. Let f = -7 + -5. Suppose -26*b + 768 = -2*b. Calculate the remainder when b is divided by m(f).
10
Suppose -3*k + 0*k = -24. Let y(c) = -5*c + 2. Calculate the remainder when y(-4) is divided by 3/4*1*k.
4
Suppose -301 = -97*n + 54*n. Suppose 4*d + 3*w - 61 = 0, -d - 4*w = -23 - 2. What is the remainder when d is divided by n?
6
Suppose 8 = -2*m, 0*i + m + 226 = 3*i. Let l(w) = -2*w**2 - 24*w - 35. Calculate the remainder when i is divided by l(-9).
17
Suppose q + 3*q = 92. Let h = q - 9. Let k(p) = -p**3 - 6*p**2 - 14*p - 30. What is the remainder when k(-6) is divided by h?
12
Suppose 4*k = 2*o - 0*o - 100, -5*o = k - 239. What is the remainder when 138 is divided by o?
42
Let v be (24/(-1))/2*1/(-3). Suppose v*k + a - 162 = 0, -5*k - a - a = -201. What is the remainder when k is divided by 14?
13
Suppose 2*l - 91 = -3*v, 141*v + 10 = 139*v. Calculate the remainder when 105 is divided by l.
52
Let l = 233 - 151. Let y = l + -56. Calculate the remainder when 101 is divided by y.
23
Suppose -q = 4*f - 9, 2*q = f + 22 - 4. Let w = -13 + 1. What is the remainder when 38 is divided by 7 + -4*q/w?
8
Let x = -42 + 72. Let w be (-6)/x - (-14)/(-5). Calculate the remainder when (-4 - w - 0) + 9 is divided by 6.
2
Suppose 30*j - 26 = 28*j - 2*v, -v = -4*j + 72. Let f(c) = c**3 - 4*c**2 - 4*c + 1. What is the remainder when j is divided by f(5)?
5
Suppose -2*t = 5*r - 4*t - 213, 3*r - 3*t = 126. Let x = 74 - 19. Let c = x - 32. What is the remainder when r is divided by c?
20
Let a(d) = -2*d + 1 - 11 + 13 + 17. Let b = -1 + 8. Calculate the remainder when b is divided by a(8).
3
Suppose -2*p = -3*s, 0 = -p - 3*s + 5*s + 2. Let l(y) = -7*y - 27. Calculate the remainder when 57 is divided by l(p).
12
Let o = 140 - 129. Suppose 3*w = 31 - 4. What is the remainder when 194/10 + w/15 is divided by o?
9
Suppose -3*x + 0 - 24 = 0. Suppose 2*f - 26 = -0*f. Let b = f - x. Calculate the remainder when b is divided by 8.
5
Suppose -2*m = 27 - 155. Suppose 0 = -160*l + 741 + 1499. What is the rema