 - -40. What is the remainder when f is divided by t?
10
Suppose 509 = 3*t + 5*g, t + 18 - 193 = g. Suppose 0 = -5*n + 52 + t. Let v = 1312 - 1295. Calculate the remainder when n is divided by v.
11
Let z(m) = m**2 - 9*m - 15. Suppose -5*a + 12*a - 98 = 0. What is the remainder when z(a) is divided by 15?
10
Let k(t) = -2*t**2 - 6*t + 7. Let z be k(-7). Let m = -43 - z. Suppose -b - 5*h - 1 = 0, 0*h - 2*h - 20 = -b. What is the remainder when b is divided by m?
2
Suppose x + 5*u - 24 = 118, -x + 3*u + 150 = 0. Calculate the remainder when 160 is divided by x.
13
Let l(z) = -z**2 - 76*z - 204. Calculate the remainder when l(-66) is divided by 23.
19
Let u(d) = 261*d - 284. What is the remainder when u(2) is divided by 30?
28
Let j(w) = w**2 - 2*w + 1. What is the remainder when 636/20 + 68/(-85) is divided by j(-3)?
15
Suppose -7*r - 47*r = 396*r - 9000. Calculate the remainder when 2072 is divided by r.
12
Suppose 3*o - 52 = -o. Let b = 179 + 111. Let t = b - 266. What is the remainder when t is divided by o?
11
What is the remainder when 6262 is divided by (-1 - (-3 - -1)) + 12/(192/1136)?
70
Let k(s) = 5*s**3 + 2 + 0*s**3 - 5*s**2 + 3*s - 2*s + s**3. What is the remainder when 80 is divided by k(2)?
16
Let g(b) = -b**2 + 14*b + 15. Let t = 19 - 19. Suppose -3*n = -2*y - 2*n + 9, 4*y + 5*n - 39 = t. What is the remainder when g(0) is divided by y?
3
Suppose 0 = -6*t - 106 + 1144. Let s = 304 - t. Calculate the remainder when (-3 + s)/4 - -2 is divided by 12.
10
Let x(f) be the third derivative of 17*f**2 + 7/6*f**3 + 0 - 1/60*f**5 + 0*f - 1/12*f**4. Calculate the remainder when x(-3) is divided by 3.
1
Suppose -11 = -12*h + 37. Suppose -2*o - h = -6*o. What is the remainder when 4 is divided by o?
0
Let b = -23 - -25. Suppose -b*c + 132 = 68. Calculate the remainder when c is divided by 10.
2
Calculate the remainder when 1397 is divided by 135/(-20 + 29) - -93.
101
Let l(d) be the first derivative of -d**4/2 - d**3/3 + d**2 - 15*d + 3. Calculate the remainder when 263 is divided by l(-3).
23
Suppose 3*n - 7*n + 16 = 0. Suppose -n*m + 2*m + 8 = 2*h, 4*h = 2*m - 14. What is the remainder when ((-134)/(-8) - 20/5)/(27/36) is divided by m?
2
Let r be 124 + (-1 + (-3 - -1) - -5). Suppose 5*y - 231 = -r. Calculate the remainder when y is divided by 12.
9
Let y(q) = -15*q**2 - 30 + 27 + q**3 + 16. Suppose -5*j + j + 92 = 0. What is the remainder when j is divided by y(15)?
10
Suppose -400 = -2*l - 62. Let g = 28789 - 28755. What is the remainder when l is divided by g?
33
Calculate the remainder when (-15)/50 - (-24009)/30 is divided by 88.
8
Suppose -a - 4*n = 10, 0 = -a + 3*a - 3*n - 2. Let j(d) = -2*d + 19. Calculate the remainder when 66 is divided by j(a).
20
Let m(f) = f**3 - 33*f**2 + 77*f + 1189. Calculate the remainder when 760 is divided by m(29).
6
Suppose l - 2*l = 0, v = 4*l + 4. Suppose 2*s - 4*s + 150 = -4*j, -v*s + 5*j + 294 = 0. What is the remainder when 87 is divided by s?
16
Suppose -140*s + 556 = -139*s. What is the remainder when s is divided by 60?
16
Suppose 151524 = 864*f - 113724. What is the remainder when f is divided by (-4)/((-2)/(-1)) + 54?
47
Let o = -36 - -52. Let x be 3*(-4 - (-20)/3). Let h(z) = 3*z + 5. What is the remainder when h(x) is divided by o?
13
Suppose -u = -3*c + 48, 0*u + 32 = 2*c - 5*u. Calculate the remainder when (35/(-5) + 4)/(((-102)/(-140))/(-17)) is divided by c.
6
Suppose 31*a + 50 = 33*a. What is the remainder when 92 is divided by (-110)/a*-5 + (-4)/(-2)?
20
Let r be ((-2201)/(-93))/(2/6). Suppose 0 = -4*s + r - 19. What is the remainder when 103 is divided by s?
12
Suppose -v + o - 4*o = -7, 2*v = -2*o + 10. Let u be 5*((-43)/5 + 1 + 7). Calculate the remainder when 4 + u - (-280)/v is divided by 12.
11
Suppose 2*l + 92 = 3*l - 3*y, -4*y = 2*l - 224. Suppose -5*q - 4*t + 271 = 0, 0 = 481*t - 479*t - 18. Calculate the remainder when l is divided by q.
10
Suppose 2*q - 2*c = 54, -q - c = 2*c - 27. Calculate the remainder when (-16 + 1695/60)/(2/16) is divided by q.
17
Let b(f) = 6*f**2 - 67*f**3 + 68*f**3 - 4 + 3 + 3 + 2*f. Suppose 2*z - 6*z - 20 = 0. What is the remainder when 30 is divided by b(z)?
13
Suppose 0 = -6*h + 488 + 688. Suppose -j = -n - 3*n + 188, j = -4*n + h. Calculate the remainder when n is divided by (-12)/(-20) - 141/(-15).
8
Let i(w) = 3*w**2 - w - 16. Let s(x) = -3*x**2 + 3*x + 15. Let p(v) = -4*i(v) - 5*s(v). Let y = -8 + 11. What is the remainder when y is divided by p(-1)?
0
Let y(x) = -55*x + 213. Let m be y(4). Suppose 2*j + 15 = 7*j. What is the remainder when 1/((-132)/(-18) + m) is divided by j?
0
Suppose -4059 - 16677 = -96*f. What is the remainder when f is divided by 93?
30
Let y = -309 + 832. What is the remainder when y is divided by 520?
3
Let y = -8609 - -8631. Calculate the remainder when 1206 is divided by y.
18
Let d(n) = -n**3 - 15*n**2 - 21*n + 391. What is the remainder when d(-13) is divided by 128?
70
Let k = -288 + 698. Suppose 4*y = k - 46. Let q = y + -56. Calculate the remainder when q is divided by 9.
8
What is the remainder when (104/65 - 4/(-10))*(-981)/(-9) is divided by 90?
38
Suppose 0 = -6*h + 8*h - 2, -q = 3*h - 48. What is the remainder when 168 is divided by q?
33
Let y(q) = -112*q - 22. Let m be y(-5). Suppose -2*g = -5*v + m, 3*g = 3*v - 222 - 99. What is the remainder when v is divided by 55?
53
Let s = -1442 + 855. Let k = -410 - s. What is the remainder when k is divided by 65?
47
Suppose 0 = -79*m + 60*m + 8835. Calculate the remainder when m is divided by 225.
15
Calculate the remainder when 2118 is divided by (69438/2130)/((-1)/(-5)).
162
Let l = 104 + 57. Suppose 0 = 163*h - l*h + 234. Let f = h - -210. Calculate the remainder when f is divided by 12.
9
Let v(p) = -85*p + 129. Let c be v(-9). Let m = c - 609. What is the remainder when m is divided by 58?
53
Let z(t) = 0*t + 7 + 3*t + 4. Suppose 160 = 29*r - 62 - 126. Calculate the remainder when z(8) is divided by r.
11
Suppose 7070 = -15*z + 25*z - 3760. Calculate the remainder when z is divided by 182.
173
Let q = -4494 + 4689. Calculate the remainder when 207 is divided by q.
12
What is the remainder when 19517 is divided by ((180/(-27))/(-5))/((-3)/(-180))?
77
Suppose 92*l = -25*l + 37*l + 23280. Calculate the remainder when 1062 is divided by l.
189
What is the remainder when (-90)/(-54) - ((-47288)/24 + -6) is divided by 336?
298
Let y(s) = 32*s - 23. Let b(l) = -6*l - 1. Let u be ((-5)/10)/((-2)/(-24)). What is the remainder when y(5) is divided by b(u)?
32
Let k(h) = h**3 + 4*h**2 + 11*h - 19. What is the remainder when 316 is divided by k(2)?
19
Let n(a) = 19*a**2 - 39*a + 159. Let w(q) = -57*q**2 + 117*q - 477. Let k(c) = -11*n(c) - 4*w(c). Calculate the remainder when k(8) is divided by 82.
79
Let y(r) = -r + 54. Let a be ((-1)/(-1))/((-24)/48). Let o(d) = 20*d**2 + 4*d. What is the remainder when o(a) is divided by y(28)?
20
Suppose -6675 - 2013 = -48*c. What is the remainder when c is divided by 46?
43
Let t = -2018 + 2393. What is the remainder when t is divided by 6?
3
Let h(r) = -35*r**2 - 6*r - 8. Let c be h(-2). Calculate the remainder when 271 is divided by (c + 137)/((-180)/182 + 1).
89
Suppose 2*q = 4*d + 32, -q + 5*q + d - 46 = 0. Suppose 0 = 4*s - 11 - 9. Suppose -s*g = -549 + 199. Calculate the remainder when g is divided by q.
10
Let o(q) = -6*q + 24. Let s be o(4). Suppose -27 - 58 = -3*a + 5*n, 5*a + 2*n - 152 = s. Calculate the remainder when a is divided by 9.
3
Suppose 94 = 10*v + 4. Let k be 6/27 + 2266/v. Suppose -9*u - 9*u = -k. Calculate the remainder when 52 is divided by u.
10
Suppose 2*k + 5*g + 2 = -2, 5*k + 4*g + 10 = 0. What is the remainder when k/6 + (-1981)/(-21) is divided by (6/8)/((-10)/(-320))?
22
Let u(d) = d**2 + 2. Let n be u(-2). Let v be 18/99 + (-16079)/(-77) + 1. What is the remainder when 63 is divided by 7*n/(v/65)?
11
Let w = -6117 + 6259. Calculate the remainder when w is divided by 9.
7
Suppose 4*w + 564 = 2*t, 2*w - 303 = 5*t - 1689. What is the remainder when t is divided by 21?
3
Let c = 3421 + -3361. Calculate the remainder when 455 is divided by c.
35
Let k(u) = 3*u + 27. Let s be k(-7). Suppose 4*t - s*m + 2*m - 152 = 0, 4*t = 2*m + 142. Let r = t + -20. Calculate the remainder when 116 is divided by r.
12
