1
Let r = -15 + 13. What is the remainder when 42 is divided by 150/6 - (-6)/r?
20
Suppose t + 5*r = 70, 0*r - 5*r = 3*t - 250. Calculate the remainder when t is divided by 25.
15
Let x(o) = 4*o**3 + 2*o**2 - o. Let n = 45 - 33. Suppose -f = -25 + n. What is the remainder when x(2) is divided by f?
12
Let p(s) = -s**2 - 6*s + 10. Let d be p(-8). Let a be (d/12)/((-2)/20). What is the remainder when 36 is divided by a + -4 + 0 - -18?
17
Let x = -367 + 490. Calculate the remainder when x is divided by 31.
30
Let o = -16 - 2. Let l = 61 - 40. Calculate the remainder when 10/45 + (-698)/o is divided by l.
18
Let b be (6/(-4))/(2/(-4)). Suppose 4*p - 100 = -2*o, -b*o = -2*p - 6*o + 50. Calculate the remainder when p is divided by 10.
5
Let u(m) = -m**2 + 13*m - 6. Let z be (-36)/(-14)*(-14)/(-2). Let h be (-291)/(-27) + 4/z. Calculate the remainder when 28 is divided by u(h).
12
Let o = 1773 + -1726. Calculate the remainder when 54 is divided by o.
7
Let f(r) = -r**3 - 25*r**2 + 2. Let z be f(-25). Suppose -3*h = -4*n + 97, 0 - z = -2*h. Calculate the remainder when 48 is divided by n.
23
Let s = -1 + 3. Suppose -4*u = -s*w + 158, 17 = -4*u - 3. Let r(b) = 3*b**2 + 15*b. Calculate the remainder when w is divided by r(-6).
15
Let t be 2/5 - (-2)/(-5). Let r be (-2 - -2)/(t + 2). Suppose 14 + 12 = 2*j - 5*c, r = j - 2*c - 11. Calculate the remainder when 9 is divided by j.
0
Suppose -4*m - 12 = 0, 3*m - 129 = -2*w + 4*m. Suppose -3*o + 0*o = -123. Let i = o + -25. What is the remainder when w is divided by i?
15
Calculate the remainder when (-8)/6 - (-17803)/57 is divided by 63.
59
Suppose 59*f = 32*f + 4968. Calculate the remainder when f is divided by 32.
24
Let v(g) = g**2 - 2*g + 3. Let y be v(4). Let f = -13 + y. Let q(l) = 3*l**2 - 2*l - 3. Calculate the remainder when q(f) is divided by 7.
6
Suppose -p - 90 = -3*g, 2*g + 2*g - 120 = -p. Suppose -z - 5 = -2*z. Suppose -z*x + 116 = -3*x. What is the remainder when x is divided by g?
28
Let y = 8 + -11. Let x be 78 - (-2 + y + 6). Suppose 4*z - x + 1 = 0. Calculate the remainder when 54 is divided by z.
16
Let o(i) = 16*i + 35. What is the remainder when o(6) is divided by 68?
63
Suppose 4*o + x - 44 = 3*o, 9 = 3*x. Let i = o - 39. Calculate the remainder when 3 is divided by i.
1
Suppose 2*w - 34 = w - z, -w = 2*z - 33. What is the remainder when w is divided by 27?
8
Let z = -183 - -331. What is the remainder when z is divided by 50?
48
Let y be -1*(-2)/4*4. Let w = 71 + -68. What is the remainder when y/(60/(-33) + 2) is divided by w?
2
Let h = 473 + -422. What is the remainder when 104 is divided by h?
2
Let d(t) = 8*t**2 - 12*t + 40. Calculate the remainder when d(3) is divided by 21.
13
Let r = -31 - -48. Calculate the remainder when 3 + (55 - -4) - (5 - 7) is divided by r.
13
Let f(l) = 17 + 4*l - 4*l + 5*l + 0*l. Calculate the remainder when f(3) is divided by 9.
5
Let z = -18 - 1. Let k = z + 25. Suppose -24 = -4*l + 2*r, 3*r + 1 + 11 = 0. What is the remainder when k is divided by l?
2
Suppose 147 = -2*o + 41. Let s = -26 - o. Let b = -71 + 150. What is the remainder when b is divided by s?
25
Let n = 240 - 152. Suppose 2*j + n = 3*j. Calculate the remainder when j is divided by 18.
16
Suppose -11*j = -430 + 166. What is the remainder when 60 is divided by j?
12
Let r(a) = -a**2 - 5*a + 4. Let l(x) = x. Let y(c) = -c**2 - 6*c + 4. Let j(m) = 3*l(m) + y(m). Calculate the remainder when r(-3) is divided by j(-3).
2
Suppose 7*h - 192 = 3*h. Suppose y - 14 = -h. Let j = -24 - y. Calculate the remainder when j is divided by 4.
2
Let o = 114 + -10. Let a = -62 + o. Let j(u) = u**3 + 15. What is the remainder when a is divided by j(0)?
12
Let a(c) = -106*c**3 - c - 1. Let d be a(-1). Suppose 0 = -h - 3*r + 71, 15 + d = 2*h - r. Calculate the remainder when h is divided by 21.
20
Let d(j) = -j**3 - 5*j**2 - 2*j - 3. Let n be d(-4). What is the remainder when 18 is divided by 9 - 5 - 3 - n?
6
Let a(s) = -3*s - 15. Let t be a(-5). Suppose 5*r = 2*u + 318, -3*u - 74 = -t*r - r. Calculate the remainder when r is divided by 13.
10
Let l be 6/(-9) - (-7)/(-21). What is the remainder when 62 is divided by ((-44)/(-12) + l)*6?
14
Calculate the remainder when -8 + (155 - -11) + (0 - 7) is divided by 11.
8
Let r = 13 + -3. Suppose 3 = -3*t, 5*d = d + 5*t + 13. Suppose -6*f + 112 = -d*f. What is the remainder when f is divided by r?
8
Let k = 532 + -467. Calculate the remainder when k is divided by 3.
2
Suppose 4*z + 4 = 0, 0*m + 144 = 2*m + 4*z. Let q(i) = i**3 - 5*i**2 + 4*i - 1. What is the remainder when m is divided by q(5)?
17
Let j = -5 - -3. What is the remainder when (j - 10)*90/(-12) is divided by 31?
28
Let s(j) = -6 + 8*j + 47 + 16. Calculate the remainder when 31 is divided by s(-5).
14
Suppose -95 = -17*a - 2*a. Let r(k) = -1 + 0*k**2 + 2 + 5*k + 1 - k**2. What is the remainder when a is divided by r(5)?
1
Suppose 0 = -0*m - m + 37. Let j = -2336 + 2445. Calculate the remainder when j is divided by m.
35
Let u = 19 + -6. Let a = 6 - 4. What is the remainder when (-1 + -3 + 28)*a is divided by u?
9
Let z(c) be the first derivative of -c**4/4 + 5*c**3/3 + 5*c + 6. Let l be z(5). What is the remainder when (-3130)/(-50) + 2/l is divided by 22?
19
Suppose 9*f - 85 = -8*f. What is the remainder when 107 is divided by f?
2
Let a(x) = x + 6. Let s be a(-11). Let q = s - -20. Suppose 10*y - q = 9*y. Calculate the remainder when 41 is divided by y.
11
Suppose -j = w - 10, -2*j - 40 = -3*w - 3*j. What is the remainder when 329 is divided by w?
14
Suppose 5*v + 2*a - 36 - 305 = 0, 5*a - 335 = -5*v. What is the remainder when 119 is divided by v?
50
Suppose -35*m + 63*m = 2380. Calculate the remainder when m is divided by 72.
13
Let o = 783 - 727. What is the remainder when 1230 is divided by o?
54
Suppose 131 = 7*c - 149. What is the remainder when 357 is divided by c?
37
Let b = -62 - -75. Calculate the remainder when 14 is divided by b.
1
Let k = -265 - -458. What is the remainder when k is divided by 65?
63
Let o(y) be the first derivative of 9*y**2 + 2. Let f = -3 + 4. Calculate the remainder when o(f) is divided by 7.
4
Let z(s) = 4*s**2 + 2*s + 76. Calculate the remainder when z(-12) is divided by 35.
33
Let n(i) = -8*i**3 - i**2 - 4*i - 1. What is the remainder when n(-3) is divided by 13?
10
Let d(k) = 11*k - 72. Let u(s) = -s**3 - 9*s**2 - 12*s - 11. What is the remainder when d(14) is divided by u(-8)?
19
Let g(c) = 2*c + 3*c**2 + 12 - 7*c - 5*c - 4*c**2. Let y = 25 - 17. Calculate the remainder when g(-9) is divided by y.
5
Let v(l) = 27*l**3 + 2*l**2 - 1. Let f be 10/((-70)/21) - (-1 + -61). Let t = 141 - f. Calculate the remainder when t is divided by v(1).
26
Suppose 4*u + 24*u - 448 = 0. What is the remainder when 395 is divided by u?
11
Let n be -196 - (0 - 1)/1. Let z = -176 - n. What is the remainder when z is divided by 0 + 2 + 7 + -2?
5
Suppose -36 = -u - 28. Calculate the remainder when 55 is divided by u.
7
Let g(j) = -4*j + 51. Calculate the remainder when 123 is divided by g(5).
30
Suppose z - 13 = 2*x, 5*x + 101 - 79 = -z. Let r be (-4)/(-3 + 2) + -1. Let h(t) = t**2 - 2. Calculate the remainder when h(r) is divided by z.
1
Let n(p) be the first derivative of p**3/3 - 2*p**2 - 7*p + 2. Suppose -u + d = -6, -u - 2*d = -6*u + 33. What is the remainder when 25 is divided by n(u)?
11
Suppose 640 - 150 = 49*o. Let d be ((-2)/3)/((-3)/(-36)). Let a(q) = -6*q - 11. Calculate the remainder when a(d) is divided by o.
7
Suppose -9*c - 5540 + 5630 = 0. Suppose -2 = q - 4*o - 1, 9 = 4*q - 3*o. Calculate the remainder when ((-13)/q)/(1/(-9)) is divided by c.
9
Let p be (-4)/(-20) - ((-8)/(-10))/4. Let h be ((-38)/(-6))/(1/3). Suppose p = -f + h + 1. Calculate the remainder when 57 is divided by f.
17
Let d(b) = -4*b + 1. Calculate the remainder when d(-16) is divided by 9.
2
Let f = 43 + -38. Calculate the remainder when 4/2 - (-24 + -1) is divided by f.
2
Suppose -3 = -i - 2*g + 5, -5 = g. What is the remainder when 135 is divided by i?
9
Suppose -115 = 2*i + 3*q, 5*i + 2*q + 292 = -q. Let t = -51 - i. Calculate the remainder when t is divided by 7.
1
Suppose -5*g + 9*g = 2*h + 248, 3*g - 188 = h. Calculate the remainder when 508 is divided by g.
60
Suppose 4*t + 79 = -57. Let l = 85 