
11
Calculate the remainder when 83 is divided by 10 - (117/195)/(2/10).
6
Let m(x) = -x**3 + 17*x**2 - 6*x - 15. What is the remainder when 579 is divided by m(16)?
144
Let n(r) = 11*r + 16. Let s(a) = 21*a + 32. Let f(g) = 5*n(g) - 3*s(g). Let d be f(-5). Let h = d - -13. Calculate the remainder when h is divided by 19.
18
Let d(t) = 5*t**2 + 7*t + 1. Let i be d(-2). Suppose i*n = 5*n + 62. Let y = 12 - 4. Calculate the remainder when n is divided by y.
7
Suppose -74*n + 22869 = 61*n - 124*n. Calculate the remainder when n is divided by 692.
3
Suppose 3*r + 636 = 3*k, 2*k + 2*r - 111 = 313. What is the remainder when 650 is divided by k?
14
Let y(h) = 14*h + 2. Let n be y(-2). Let u be -1*(4 - 3) - 2 - n. Let b = u + -13. What is the remainder when 38 is divided by b?
8
Suppose 39*b = 46*b + 2324. Let x = 347 + b. What is the remainder when 27 is divided by x?
12
Suppose -k = -3*k. Let f(q) = 5*q**2 - 25*q - 44. Let o(s) = 6*s**2 - 29*s - 47. Let n(w) = -7*f(w) + 6*o(w). What is the remainder when 99 is divided by n(k)?
21
Let y = 96 - 84. Calculate the remainder when 1*7 + (y/3 - 3) is divided by 4.
0
Let b = 35311 + -33565. What is the remainder when b is divided by 573?
27
Let q(j) = 20*j**2 - 8*j - 6. Suppose 2*s = -3*a + 12, -5*s + 12*a + 64 = 11*a. What is the remainder when q(5) is divided by s?
10
Suppose -z = 4*l - 52, l - 5*z - 16 = -2*l. Let i be ((-3)/(-7))/((-6)/(-966)). Suppose i = 3*t + l. What is the remainder when 112 is divided by t?
17
Suppose 0 = 5*h - 15, -3*b - 12 = -4*b - 4*h. Suppose 14*r - 10*r + 4164 = b. What is the remainder when 5/20 + r/(-12) is divided by 22?
21
Let z(j) = -74*j - 277. What is the remainder when z(-15) is divided by 19?
16
Let z(g) = -147*g**3 - 5*g**2 - 63*g - 156. What is the remainder when z(-3) is divided by 90?
87
Let y = -1878 + 1888. Calculate the remainder when 2345 is divided by y.
5
Let p(t) = -56*t + 490. Calculate the remainder when p(-39) is divided by 107.
106
Let l(x) = 44*x - 41. Let g be l(4). Let y = -130 + g. What is the remainder when 1 - (-24 - (y + -9)) is divided by 14?
7
Suppose -2*a + 338*k = 341*k - 301, 5*k = -5*a + 755. What is the remainder when 261 is divided by a?
109
Let a(p) = 2*p**3 - 8*p**2 + 2*p - 2. Let l be a(6). Suppose 9*s = -2*s + l. What is the remainder when 49 is divided by s?
7
Suppose 945 = 18*v + 63. Calculate the remainder when 2496 is divided by v.
46
Let n(f) = 13*f**3 - 128*f**2 + 6*f + 68. Calculate the remainder when n(10) is divided by 295.
33
Suppose -20 = -5*w, 5*y - 10 - 21 = -4*w. Let z be 2 + (-2 - -1 - -27). Suppose 5*s - y*s = z. Calculate the remainder when s is divided by 9.
5
Let u = 8820 - 6166. Calculate the remainder when u is divided by 59.
58
Suppose 4*k = 6*k - 102. Suppose s - 46 = q + k, 0 = 4*q + 16. Calculate the remainder when s is divided by 38.
17
Let u(o) be the second derivative of -o**4/12 + 4*o**3 - 25*o**2/2 - o + 45. What is the remainder when u(22) is divided by 12?
7
Let f(p) = -44*p**2 + 5*p - 11. Let s be f(5). What is the remainder when 411 is divided by (-8)/6 + s/(-18)?
57
Let v = 32 - -32. Let d = 15 - 53. Let u = d + v. What is the remainder when u is divided by 9?
8
Suppose 3*d + 0*d = 738. Let j(l) = l**3 - 13*l**2 + 40*l - 148. What is the remainder when d is divided by j(11)?
46
Let n = 22360 + -22291. Calculate the remainder when 11936 is divided by n.
68
Let v(h) = -h**3 + 18*h**2 + 10*h - 133. Let g = -480 - -714. What is the remainder when g is divided by v(18)?
46
Calculate the remainder when 1201 is divided by -1*(-8 + 156/21 - (-297)/(-7)).
40
Suppose -5*x + 412 = -258. Let f be (-80)/(-15)*399/14. Let r = f - x. Calculate the remainder when 88 is divided by r.
16
Let q(y) = y**2 + 87*y - 797. What is the remainder when q(10) is divided by ((-23)/(-4))/((-3)/(-24))?
35
Suppose -4*z + 5*s + 728 = 0, 421 + 90 = 3*z + 5*s. Calculate the remainder when z is divided by 104.
73
Suppose -70*k - 76*k = -58*k - 14256. What is the remainder when 1651 is divided by k?
31
Suppose 10136*k + 195 = 10151*k. What is the remainder when 2351 is divided by k?
11
Suppose 386 = 2*s + 2*j, -11*s - 760 = 4*j - 2911. Calculate the remainder when 754 is divided by s.
163
Let l(a) = -a**2 - 7*a - 4. Let i be l(-5). Suppose -3*r + 35 = -4*t, 4*t + 2 - i = 0. Calculate the remainder when 98 is divided by r.
7
Let t = -26673 + 26853. What is the remainder when 3959 is divided by t?
179
Let p = 495 - 479. Suppose 0 = p*w - 882 - 1870. Calculate the remainder when w is divided by 29.
27
Let d = 21239 - 17963. Calculate the remainder when d is divided by 43.
8
Suppose -6*l + 14331 = 11*l. Let f = l - 495. Calculate the remainder when f is divided by 88.
84
Suppose -4*k = -2*h + 128, 3*k - 121 = 54*h - 56*h. Calculate the remainder when h is divided by (1/(-3))/(2/(-222)).
25
What is the remainder when 6/5*(-21675)/(-153) is divided by 88?
82
Suppose 0 = -6*h - 8 + 74. Let n = 1359 + -1344. What is the remainder when n is divided by h?
4
Let b = 165 + -151. Suppose 0*p - 4*p + 72 = 0. Suppose -u = -3*u + 8, 0 = i - 5*u + p. Calculate the remainder when b is divided by i.
0
Suppose -28*p = -506 - 1230. What is the remainder when 3656 is divided by p?
60
Suppose 5*j + 5*i - 180 = 0, 7*j - 5*j - 4*i = 90. Let m = 23 + -22. Let t(r) = 153*r**2 - r + 1. Calculate the remainder when t(m) is divided by j.
36
Let p = -251 - -40. Let s = p + 977. Calculate the remainder when s is divided by 24.
22
Let h(a) be the third derivative of 0 + 0*a**4 - 1/60*a**5 + 0*a + 23*a**2 + 4/3*a**3. What is the remainder when 87 is divided by h(0)?
7
Let y(g) = g**3 - g**2 + 16*g - 154. Calculate the remainder when y(8) is divided by 13.
6
Let b be (9/(-3) + 3 + 0)/2. Suppose -17*f + 14*f + 291 = b. Suppose f = 7*a - 99. What is the remainder when a is divided by 15?
13
Suppose -2*g - 12 = 0, 19*u - 18*u - 4*g - 160 = 0. What is the remainder when 3668 is divided by u?
132
Let t(p) = -2*p**2 - 11*p + 4. Let u be t(-8). Let o be (-3*15)/(27/u). What is the remainder when 42 is divided by (o/(-9))/(-2)*(-27)/(-6)?
12
Suppose -164 = 12*o - 464. Calculate the remainder when o is divided by 5.
0
Let c = -109 + 179. Let z(n) = -2*n**3 + 37*n**2 - 16*n - 17. Calculate the remainder when c is divided by z(18).
13
Suppose 340*o = 300*o + 14160. What is the remainder when o is divided by (-16)/12 + 34/3?
4
Let j = -452 + 456. Suppose j*f = 3*h - 448, -f + 62 + 85 = h. What is the remainder when h is divided by 19?
15
Let h = 221 + -240. Let k(c) = -c**3 - 19*c**2 - 19*c - 90. What is the remainder when k(h) is divided by 25?
21
Suppose 4*g - 665 + 697 = 0, -5*l + 53 = 4*g. What is the remainder when 1762 is divided by l?
11
Let g(b) = -b**2 + b + 9. Suppose 5*n = 2*s - 1817, 359 = -n - 0*s - 4*s. Let q = -357 - n. What is the remainder when g(0) is divided by q?
3
Let i = -6110 - -6714. What is the remainder when 1819 is divided by i?
7
Suppose 0 = 4*x - 0*x + 8. Let d(q) be the third derivative of -q**4/6 + 2*q**3/3 - 27*q**2. Calculate the remainder when d(x) is divided by 5.
2
Let z(g) = -g**2 - 1 - 2*g**2 + 0*g**2 - 9*g + 2*g**2. What is the remainder when 722/19 + 25/(-5) is divided by z(-6)?
16
Suppose 3*r - 181*j = -177*j - 17, 0 = -4*r + 2*j - 16. What is the remainder when (-40 + 22)*(-3)/r*-6 is divided by 55?
53
Let w be (-3)/(-15) + 3002/(-10). Let u = w + 327. Let a = 207 + -100. What is the remainder when a is divided by u?
26
Let l be (290/(-14))/((-3)/21). Suppose -3*f - 132 = -3*r, l - 9 = 3*r - 4*f. What is the remainder when 129 is divided by r?
9
Suppose -8 = -4*k + p + 4, 0 = -4*p - 16. Let o(f) = -f**3 - 29*f**2 + 2 + 20*f**k + 9*f + 17*f**2. Calculate the remainder when o(9) is divided by 2.
0
Let h = -25304 - -27965. Calculate the remainder when 5333 is divided by h.
11
Let b be ((-5832)/(-126))/(3/14). Suppose -b = 8*i - 1032. What is the remainder when i is divided by 26?
24
Let l(h) = h**3 - 5*h**2 - 122*h + 4. Let f be l(14). Suppose 3*d + 9 = f. What is the remainder when 321 is divided by d?
15
Let x = 16 + 32. Let s = -85 + x. Let v = 101 + s. What is the remainder when v is divided by 17?
13
Let t(v) = 3*v + v**2 + 5*v + 10 - 26. Let u = -538 - -528. Calculate the remainder when 47 is divided by t(u).
3
Suppose -57*a - 101*a