251 is divided by c.
11
Suppose p + 27*u = 23*u + 67, 3*u + 211 = 4*p. What is the remainder when 3/((-5)/(2670/(-6))) is divided by p?
47
Let d(g) = -g**2 - g + 2. Let l be d(-2). Suppose 2*h + 3*q - 54 = -0*h, l = 5*q - 20. Let r = h + -14. What is the remainder when 25 is divided by r?
4
Let t = 5347 + -5224. What is the remainder when t is divided by 2*(-4)/((-24)/75)?
23
Let z = 524 + -264. Suppose z = -11*t + t. Let k(m) = m**3 + 26*m**2 + 2*m + 62. Calculate the remainder when 57 is divided by k(t).
7
Let g(k) be the third derivative of -k**5/60 + k**4/6 - k**3/6 + 10*k**2. Let o be g(5). What is the remainder when 3/o - (82/(-4) + 1) is divided by 7?
5
Suppose 0 = 6*k + 106 + 44. Let p(b) = -b**2 - 2*b + 1. Let r be p(-6). Let y = r - k. What is the remainder when 7 is divided by y?
1
Let p = 570 + -448. What is the remainder when 413 is divided by p?
47
Let p(g) be the third derivative of g**5/12 - 5*g**4/6 + 17*g**3/3 - 31*g**2. Calculate the remainder when p(7) is divided by 28.
27
Calculate the remainder when 84 is divided by 53/2 - (-155)/(-62).
12
Suppose -13*v - 2*k = -16*v + 184, -2*v + k = -121. Calculate the remainder when v is divided by 9.
4
Let v(l) be the third derivative of -l**6/120 - 23*l**5/60 - 4*l**4/3 - 9*l**3/2 + 7*l**2 - 8. Calculate the remainder when v(-22) is divided by 65.
63
Let m(u) = 2*u + 42. Suppose -7*n = 5*n + 120. What is the remainder when 40 is divided by m(n)?
18
Let u(w) = 58*w - 6339. Calculate the remainder when u(121) is divided by 85.
84
Suppose -24*c - 30360 = 15*c - 69*c. Calculate the remainder when c is divided by 127.
123
Let k(c) = -8*c - 1. Let a = -26 - -32. Let i be -1 + 0 - (a + -2). What is the remainder when k(i) is divided by 14?
11
Suppose 0 = -4*d + 2*d + 164. Suppose -6*u + 44 = -u - 3*m, 4*u - m = 31. Suppose -10 = -u*s + 88. Calculate the remainder when d is divided by s.
12
Suppose 0 = -2*l - 2*l + 24. Let m = 37750 + -37749. What is the remainder when l is divided by m?
0
Suppose -4*u - x = -0*u + 233, 4*u + 221 = -5*x. Let k(p) = 101*p - 1. Let w be k(-1). Let y = u - w. What is the remainder when y is divided by 23?
20
Calculate the remainder when 1342 is divided by (-23)/69*3 - 658/(-2).
30
Let h = -15308 + 18813. Calculate the remainder when h is divided by 121.
117
Suppose 613 = 12*p - 731. Let n = p + -108. Calculate the remainder when 38 is divided by (160/25 - 4)*30/n.
2
Let w(k) = 2*k - 6. Let o(v) = -1 - 15 + 4 - 4 + 13*v. What is the remainder when o(2) is divided by w(5)?
2
Let z(x) = -16*x**2 + 335*x + 50. Calculate the remainder when 2319 is divided by z(21).
28
Let w = -300 + 297. What is the remainder when 44 is divided by w/(5 - 472/92)?
21
Suppose -3*v + 5*p + 9 = -25, 2*v = 4*p + 26. Suppose -9 = -v*r + 27. Calculate the remainder when r is divided by (-6)/3*(-4 + -5 + 7).
0
Let k = -628 - -903. Suppose k*u + 144 = 279*u. Calculate the remainder when 141 is divided by u.
33
Suppose 2*b - 310 = -3*r, 13*r + 14*r = 32*r. What is the remainder when 359 is divided by b?
49
Let b = 5 + -3. Let x be 2/25 + 0 + 966/1050. Suppose b*p - 4*i = 30, -3*p - 5*i + x = -0*i. Calculate the remainder when 31 is divided by p.
3
Suppose 138 = 3*x + 5*o, -68 = -4*x - 3*o + 127. Suppose -t + 5*a = -29, x*t + 4*a = 55*t - 180. Calculate the remainder when 146 is divided by t.
48
Let f(i) = -2*i**2 - 38*i + 34. Let t be f(-20). Calculate the remainder when 34 is divided by ((-3)/(-2))/(t/(-288)*6).
10
Let s = 251 + -412. Let l = s + 172. What is the remainder when 185 is divided by l?
9
Suppose -2*r + 296 + 1980 = 6*d, 5*r = 20. What is the remainder when d is divided by 63?
0
Let v = 591 + -633. What is the remainder when 4 - 20/(v/(-9) - 5) is divided by 57?
7
Let x(j) = -4*j - 26 + 7*j + 8 - 11. Let z be x(12). Suppose -4*v = -3*r - z*v + 147, 3*r - 3*v = 135. Calculate the remainder when r is divided by 12.
11
Suppose -90*a + 18 = -81*a. Suppose -4*n + 194 = -p + 2*p, 5*p = 5*n - 230. What is the remainder when n is divided by a?
0
Let a(k) = -48 + 23 + 21 + 145*k. What is the remainder when a(2) is divided by 72?
70
Let y = -1506 + 1576. What is the remainder when y is divided by 34?
2
Let m(s) = -2*s**2 - 71*s - 437. What is the remainder when 989 is divided by m(-27)?
21
Suppose -5*p + 77 = f, 0 = f + 4*p + 40 - 112. Suppose 2*q - 56 = 4*g, 3*q + g + 3 = f. What is the remainder when q is divided by 16?
2
Let i(a) = 2*a**3 - 2*a + 3988. What is the remainder when i(0) is divided by 10?
8
Let c be (-3)/(-7) + 9/42*12. Suppose -7*z = -c*z - 200. Calculate the remainder when 93 is divided by z.
43
Suppose 3*u + 14*u = 7*u. Suppose 8*v - 3*v - 1540 = u. Suppose -15*h + v = -13*h. What is the remainder when h is divided by 52?
50
Let b(t) be the second derivative of -t**3/3 - 9*t**2/2 + t. Let a be b(15). Let m = a + 86. Calculate the remainder when m is divided by 24.
23
Let q(r) = -35*r**3 - r. Suppose -31*v = -38*v. Suppose 4*n - 465 - 99 = v. Calculate the remainder when n is divided by q(-1).
33
Calculate the remainder when 90 is divided by (25974/12)/(-39)*((-10)/(-3))/(-5).
16
Let w(x) = -x**2 - x. Let o(g) = 6*g**2 - 14*g + 59. Let t(y) = -o(y) - 5*w(y). Calculate the remainder when t(11) is divided by 16.
13
Let k(h) = -17*h - 116. Let w = -6 + 14. Calculate the remainder when k(-9) is divided by w.
5
Suppose 0 = -w + 7*k - 11*k + 26, -5*k = -5*w + 105. What is the remainder when 745 is divided by w?
19
Let l(s) = 211*s - 8211. What is the remainder when 1 + 50 + 0/2 is divided by l(39)?
15
Suppose 5*f = 11 + 14. Suppose -27 + 52 = f*x. Suppose 40 = x*b + j - 42, 2*j = -6. Calculate the remainder when 67 is divided by b.
16
Suppose 16*y - 46 = 11*y - i, -9*y = 2*i - 82. Calculate the remainder when 1464 is divided by y.
4
Suppose -1662 = 971*v - 975*v + 5*l, 2*v - 824 = -l. What is the remainder when v is divided by 19?
14
Let g be 64/20*(-35)/(-2) + -4. Calculate the remainder when 162 is divided by g - ((-3)/9)/((-2)/30).
21
What is the remainder when (-1)/(-19 - 136600/(-7190)) is divided by 361?
358
Suppose 2*o + 52 = 6*o. Suppose 57*z = 59*z - 86. Suppose 2 - 4 = -c, 0 = i - 3*c - z. What is the remainder when i is divided by o?
10
Let o(f) = -24 + 13*f + 1 + f - f**2. What is the remainder when 87 is divided by o(9)?
21
Suppose 0 = -5*v + 23*v - 306. Let s be (13/2)/((-5)/(-70)). Suppose 3*z + 3*q - s = 8*q, -z - 3*q + 21 = 0. Calculate the remainder when z is divided by v.
10
Let w(f) = f**3 + 9*f**2 - 11*f + 27. Let y be (-1 + (-3)/2)*8/2. Calculate the remainder when w(y) is divided by 8.
5
Let h(j) = 63*j - 4376. Calculate the remainder when h(75) is divided by 163.
23
Suppose 0 = c + 1, -2*t + 301 = -3*c - 160. What is the remainder when t is divided by 24?
13
Let y = 3096 - 2682. Calculate the remainder when y is divided by 104.
102
Let i(n) = -11*n - 4. Let b be i(3). Let w = 106 + b. What is the remainder when w is divided by 21?
6
Calculate the remainder when (-17)/(-102)*2298*3 is divided by 61.
51
Let i = -101197 + 101201. Let q = 0 + 0. Suppose -2*c - 4*u + 46 = q, 0*u = u. Calculate the remainder when c is divided by i.
3
Suppose 366 = 15*y + 6. Let s be 1/4 - 204/(-16). Calculate the remainder when y is divided by (0 - -1)/(1/s).
11
Let x(a) = -2643*a + 74683. Let m(d) = -4*d**3 - 3*d**2. Calculate the remainder when x(28) is divided by m(-2).
19
Suppose 4*h = 4*u + 300, -2*h - 8*u + 13*u = -141. Calculate the remainder when h is divided by (9/(-1))/(1*-1).
6
Let f = -105 + 178. Suppose -4*m = -11*m + 42. Let v = 25 - m. What is the remainder when f is divided by v?
16
Let s(b) = 15*b**2 - 15*b - 495. Calculate the remainder when s(-14) is divided by 203.
16
Suppose -s - 8*s - 36 = 0. What is the remainder when s - 2124/(-45) - (-1)/(-5) is divided by 15?
13
Let s(r) = -8*r - 155. Let d be s(20). Calculate the remainder when 6*(-4)/(-12) + d/(-3) is divided by 43.
21
Suppose 0 = 3*u + 2*d - 18, -7*u - 5*d + 35 = -2*u. What is the remainder when (37524/(-590))/(u/(-10)) is divided by 83?
76
Let x = 200 + -196. Suppose -4*q + 5*b = -2*q - 31, 3*b = -x*q + 75. Calculate the remainder when 33 is divided by q.
15
Let s = 1249 - 1238. What is the remainder when 248 is divided by s?
6
Let k(y) = -2*y - 8. Let w be k(-5). Suppose -h - w*h + 81 = 0. S