ed by 188/20 - (-4)/(-10)?
6
Let v(j) = j**3 - 2*j**2 + 6*j - 25. Let t be 2/7 - (-38)/14. Suppose x - 3*a = t*x, -a = 3*x - 7. Calculate the remainder when x is divided by v(3).
1
Let u be (-1)/(-2)*15*-2. Let n be ((-12)/u)/(1/15). Let y = n + 21. What is the remainder when y is divided by 12?
9
Suppose 3*w - 91 = -2*c, 2*w + 3*c = -2*c + 68. Let n(v) = -v**2 + 59*v - 753. Calculate the remainder when n(28) is divided by w.
28
Suppose -4*j + w = -9*j + 44, 44 = 4*j + 3*w. What is the remainder when (-6 - -109) + (-1 - 1) is divided by j?
5
Let n(l) = -l**2 - 5*l + 9. Let p be n(-7). Suppose 23 = 5*m - 32. What is the remainder when (p - -3)*(1 - 66/4) is divided by m?
9
Suppose 12 = -4*l, -3*l + 4*l - 97 = -5*y. What is the remainder when 537/7 + (-4)/(-14) is divided by y?
17
Suppose -3*f = -56 - 13. Let b be 6*(-1 - -2)*5. Suppose 0*l - b = -4*l + a, 0 = 2*a - 4. What is the remainder when f is divided by l?
7
Suppose -4*q - 5*r + 13 = 0, 2*r - 1 + 3 = 2*q. Suppose 0 = -q*b - 2*j + 294, 4*b = b - 5*j + 451. Calculate the remainder when b is divided by 48.
46
Suppose -7 = -3*d + 38. Let r(w) = -52*w**3 + 2*w**2. Let v be r(-1). Let p = -26 + v. Calculate the remainder when p is divided by d.
13
Suppose 992*j - 1008*j + 1712 = 0. What is the remainder when j is divided by 27?
26
Let l = 629 - 579. What is the remainder when 197 is divided by l?
47
Let j(t) be the third derivative of -t**4/12 + 7*t**3 - 17*t**2. Calculate the remainder when 61 is divided by j(10).
17
Suppose 0*z + 5*z = -180. Let l = z - -33. Let d(p) = -10*p - 6. Calculate the remainder when d(l) is divided by 13.
11
Let l(i) = i**2 - 5*i + 4. Let h(o) = o. Let g be h(5). Let t be l(g). Suppose 0 = m - 9 + t. What is the remainder when 18 is divided by m?
3
Let w(j) be the first derivative of -j**4/4 + 16*j**3/3 + j**2/2 + 15*j + 5. What is the remainder when w(16) is divided by 11?
9
Let q = 704 + -453. What is the remainder when q is divided by 63?
62
Let b = 82 + -79. Calculate the remainder when (-2)/(0 - 4)*82 is divided by (-3)/((b/(-15))/((-22)/(-15))).
19
Suppose 3 = -c + 1. Calculate the remainder when 84 is divided by (-2 - 0) + 47 + c.
41
Suppose 2*f - 31 = 67. Suppose 0 = -n - 5*n + 78. Calculate the remainder when f is divided by n.
10
Suppose -6*g + 27 = -3*g. Suppose g*j = 5*j + 120. Calculate the remainder when j is divided by 16.
14
Let w(a) = -15*a**3 - 2*a - 3. Let s(j) = -j**2 - 4*j + 4. Let n be s(-4). Suppose n*p = p - 6. What is the remainder when w(p) is divided by 31?
28
Let q(d) = -d**2 + 14*d + 7. Let x be q(14). Suppose -x*f + 2*f + 70 = 0. What is the remainder when f is divided by 8?
6
Let c(g) = 3*g**2 + g - 5. Let n be ((-9)/(-21))/((-3)/63*-3). What is the remainder when c(n) is divided by 13?
12
Let o(n) = -4*n + 1. What is the remainder when 231 is divided by o(-3)?
10
Suppose -q + 2*q + 658 = 2*m, -3*m = 5*q - 1013. Calculate the remainder when m is divided by 9.
7
Let w(s) = 2*s**2 + 3*s + 1. Let f be w(-1). Suppose 10 = d - f*d. Calculate the remainder when (-290)/25*(-5)/2 is divided by d.
9
Let m be (4 + 18/(-4))*-2. Suppose 0 = -3*w - 2*x - m, -3 = w - 4*x - 26. What is the remainder when w is divided by 2?
1
Suppose 5*g - 859 = 16. What is the remainder when g is divided by 56?
7
Let v(c) = -c**3 + 6*c**2 - 2*c + 13. What is the remainder when v(3) is divided by 19?
15
Suppose 4*s + 245 = 5*u, -5*s = 4*u - 4*s - 196. Let d = u - 36. What is the remainder when 36 is divided by d?
10
Let d(h) = -2*h + 38. Let t be d(15). Suppose 0 = -4*c + t. Suppose 0*g + g - 1 = 0. What is the remainder when c is divided by g?
0
Suppose -2 + 7 = -5*x - 2*d, 0 = -4*x + 4*d + 24. Suppose -13 - x = -i. Suppose 0 = -p + 16 - 12. What is the remainder when i is divided by p?
2
Let b = 1753 + -1711. Calculate the remainder when 229 is divided by b.
19
Suppose 3*x - 12 = 21. Let m = -8 + x. Suppose -q - 4*b - 3 = 4, b = -5*q + m. What is the remainder when 1 is divided by q?
0
Let z be (-1)/3 - (48/(-9) + 2). Suppose c - 103 = 4*a, -z*c - 5*a + 2*a = -234. Calculate the remainder when c is divided by 42.
41
Let x(q) = 4*q**2 - 12*q + 11. Calculate the remainder when 192 is divided by x(5).
39
Let b = 249 + -243. What is the remainder when 71 is divided by b?
5
Suppose -4*g + o = -19, o - 10 = -g + 3*o. Let y(l) be the first derivative of -l**3/3 + 3*l**2/2 + 7*l + 2. Calculate the remainder when 5 is divided by y(g).
2
Suppose 21 = f + 2*w, 0 = 6*w - 2*w - 4. Suppose -4*r + 15 = 3. Suppose 3*o = -5*a + 1, r*o + 2*a = 23 - 10. Calculate the remainder when f is divided by o.
5
Suppose 0 = 3*j - 4*r - 150, 5*j + 0*r = 2*r + 264. Suppose 5*p - 34 = -3*i, -4 - 20 = -2*i - 4*p. What is the remainder when j is divided by i?
6
Let z = -594 + 623. Calculate the remainder when 101 is divided by z.
14
Suppose 18 = -2*t + 110. What is the remainder when 137 is divided by t?
45
Suppose 4*h - i + 4 + 36 = 0, -2*i - 19 = 3*h. Let b(c) = c**3 + 9*c**2 - 2*c - 10. Calculate the remainder when (-2)/6*-1*69 is divided by b(h).
7
Let s(o) = 6*o**2 + 98*o - 54. Calculate the remainder when s(-17) is divided by 4.
2
Let a(n) = -n**2 - 6*n + 14. Let m be a(-8). Calculate the remainder when 26 is divided by m/(-6) - 60/(-9).
5
Suppose -18*v + 124 = -74. Calculate the remainder when 96 is divided by v.
8
Suppose 0 = -4*v - 5*a + 225, v - 2*v + 3*a + 69 = 0. What is the remainder when 220 is divided by v?
40
Suppose 3*w + x + 3*x - 29 = 0, 2*w = -5*x + 31. Calculate the remainder when 17 is divided by -3 + (144/w)/4.
8
Let m(t) = 8*t**2 + 7*t + 9. What is the remainder when 77 is divided by m(-2)?
23
What is the remainder when 9*5/(-15) + 122 + -2 is divided by 60?
57
Suppose -4*h = 83 - 219. Suppose w + p = 20, -p + 16 = w - 4*p. Calculate the remainder when h is divided by w.
15
Suppose 123*d = 119*d + 2364. Calculate the remainder when d is divided by 66.
63
Suppose -3*j + 5 + 10 = 0. Let s(i) = 8*i + 5*i**3 - 4*i**3 - 10*i - 4*i**2 - 12. Calculate the remainder when s(j) is divided by 1.
0
Suppose 211*o = 217*o - 78. Calculate the remainder when 4/10 + (-113)/(-5) is divided by o.
10
What is the remainder when 83 is divided by 165/(-22)*(-8)/4?
8
Let s(i) = -2*i**3 - 4*i**2 - 5*i - 10. Let t = 69 - 72. Calculate the remainder when 63 is divided by s(t).
17
What is the remainder when 105 is divided by (-28)/7 - (-62 + 3)?
50
Let d(l) = l**2 - 5*l - 21. Let z be d(-3). Let s(y) = 2*y**3 - 5*y**2 + 6*y - 10. Calculate the remainder when 65 is divided by s(z).
14
Let j = -429 - -483. Calculate the remainder when 95 is divided by j.
41
Let v(l) = 4*l**2 + l + 7. Calculate the remainder when v(6) is divided by (96/(-72))/(3/(-90)).
37
Suppose 0 - 4 = -c. Suppose v - 3*v = -3*i + 44, c*i - 60 = 3*v. Calculate the remainder when 4 + 0 - 60/(-2) is divided by i.
10
Suppose 326 = c + c. Suppose -5*p = 2*k - c, 190 = -0*k + 2*k - 4*p. What is the remainder when k is divided by -75*(18/(-20) + 9/18)?
29
Suppose 18 + 0 = 6*u. What is the remainder when u is divided by (3/10 - (-1)/5)*2?
0
Calculate the remainder when ((-836)/(-6))/((-49)/(-147)) is divided by 85.
78
Let m(n) = 3*n**2 + 2*n + 2. Calculate the remainder when 341 is divided by m(2).
17
What is the remainder when 40 is divided by 20/(-15)*(-105)/10?
12
Suppose -2*b - 3*d + 56 = 0, -3*b - 2*b + 121 = -2*d. What is the remainder when 248 is divided by b?
23
Suppose -7*m + 16 = -6*m. Calculate the remainder when 60 is divided by m.
12
Let t(y) = y**3 + 6*y**2 + 6*y. Let r be t(-5). What is the remainder when 52 is divided by (-22)/(-4)*(7 + r)?
8
Let b(c) = 4*c**3 + c**2 - 3*c + 2. Let u be b(1). Suppose 5*m + 5*g = u*g + 1013, 5*g + 591 = 3*m. What is the remainder when m is divided by 41?
38
Let n = 406 + -380. What is the remainder when 50 is divided by n?
24
Suppose -5*n + 2 = -13. What is the remainder when 103 is divided by (-4)/(-3)*n + 22?
25
Let j = -17 + 23. Suppose 3*z = -j, -z + 2*z + 397 = 5*i. Let k = 35 + -8. Calculate the remainder when i is divided by k.
25
Let a be -145 - 2 - (0 + 4). Let j = a + 167. Suppose -4*q = 2*k - 0*q - 70, 118 = 4*k - 3*q. Calculate the remainder when k is divided by j.
15
Suppose -5*g - 237 + 486 = 3*a, -a + 5*g = -103. What is the remainder when a is divided by 9?
7
Let r(o) = -4*o