557 is divided by k.
11
Let m(b) be the first derivative of b**3/3 + 11*b**2/2 - 2*b - 2. Let l be m(5). Let c = l + -67. What is the remainder when 65 is divided by c?
10
Let b(q) = 332*q - 2963. Let p be (-70)/6 - (-2)/3. Let j = -4 - p. Calculate the remainder when b(9) is divided by j.
4
Suppose -16088*i + 16064*i + 978 = -2214. Suppose -5*k = -10*k + 175. What is the remainder when i is divided by k?
28
Suppose -19 + 23 = 2*o. Let x be (o - 1) + -4 + 5. Suppose -3*j - u = x*j - 15, 2*u = -10. Calculate the remainder when 45 is divided by j.
1
Let n be (7 - 5)/(-2 - (-29)/14). Suppose 12*q - 56 = n. What is the remainder when 24 is divided by q?
3
Let b(c) = -c**3 + 41*c**2 + 579*c - 117. Calculate the remainder when b(52) is divided by 97.
53
Calculate the remainder when 2044 is divided by (-417)/(-278) - (-17)/2.
4
Let m(c) = -7*c**2 - 321*c + 60. What is the remainder when 77 is divided by m(-46)?
7
Let h = 5769 + -5642. Calculate the remainder when 266 is divided by h.
12
Suppose -5*g + 26114 = -t + 639, 0 = 4*g - 7*t - 20411. What is the remainder when g is divided by 91?
89
Suppose 2*o - 25 + 1 = -b, 4*b - 84 = -4*o. Let g(h) = 647*h - 619. What is the remainder when g(1) is divided by b?
10
What is the remainder when 4957 is divided by 3*(35 + 14/4*(-324)/189)?
85
Let j(s) = -s**2 + 38*s + 593. What is the remainder when 191 is divided by j(-11)?
29
Suppose 15*x = -7*x + 44. Suppose -x*z + 906 = -q + 5*q, 0 = 4*z - 5*q - 1825. What is the remainder when z is divided by 51?
47
Calculate the remainder when 222/(-777) + 86678/14 is divided by 36.
35
Let l = 17448 - 17412. What is the remainder when 2153 is divided by l?
29
Let y be (-2 + 7)*(-36)/(-45). Suppose -2*c + 4*b + 62 = 0, -y*b + 7 = 5*c - 4*c. Calculate the remainder when 159 is divided by c.
21
Suppose -5*o - 20 = -80. Suppose -3*x = o - 42. Calculate the remainder when 35 is divided by x.
5
Let g = -35 + 36. Calculate the remainder when (-3608)/110*g*-5 is divided by 15.
14
Let x(p) = p**3 + 2*p**2 - p + 9. Let y be -5*(1 + 21/(-15)). Calculate the remainder when y/(-7) - 531/(-21) is divided by x(0).
7
Let k = -31 - -89. Let h = 97 - k. What is the remainder when h is divided by 2/(-3) - (-11)/(165/160)?
9
Suppose -3*r + 380 = -r + 2*u, r = 5*u + 184. Suppose c = -2*j + 3*c + 186, 5*c + r = 2*j. Let d = -31 + j. Calculate the remainder when d is divided by 32.
29
Suppose 0*v + 618 = 3*v. Let t be (-4)/(-6)*(v + -8). Suppose -4*y - 5*r = -t, 3*y - 3*r + 2*r = 80. Calculate the remainder when 83 is divided by y.
27
Suppose 0 = -7*h + 303 - 121. Let r = h - 24. What is the remainder when 2 is divided by r?
0
Suppose 0 = -11*u + 35*u + 4927 - 46495. Calculate the remainder when u is divided by 856.
20
Suppose 0 = 45*w - 94*w + 3822. Calculate the remainder when 1481 is divided by w.
77
Let d = -310 + 323. Suppose 14*v - d*v + 1 = 0, -5*v = -5*k + 15. What is the remainder when 73 is divided by k?
1
Let h = -576 - -1104. Suppose 3*b = -3*b - h. Let g = -59 - b. What is the remainder when g is divided by 8?
5
Let s = 137 + -77. Suppose 0 = 8*q - 29*q + 420. Calculate the remainder when 1/(1/(-1)) + s is divided by q.
19
Suppose -18 = -5*k - 3. Suppose k*d = 7 + 29. Suppose 65*z - 69*z + 4*l + 128 = 0, 42 = 2*z - 4*l. Calculate the remainder when z is divided by d.
7
Suppose -54*v - 320 = 65*v - 139*v. Calculate the remainder when 359 is divided by v.
7
What is the remainder when ((1031420/520)/((-10)/(-24)))/((-3)/(-10)) is divided by 69?
67
Let s(f) = 3*f**3 + 44*f**2 + 39*f + 841. What is the remainder when 1171 is divided by s(-15)?
24
Let l(a) = 12*a**2 + 21*a - 5. Calculate the remainder when l(3) is divided by 74.
18
Calculate the remainder when 4285 is divided by 71/3 + (-43)/(-129).
13
Suppose 13*y - 5*x = 17*y - 560, -5*y - 5*x = -690. What is the remainder when 643 is divided by y?
123
Let o(j) = 2*j**2 - 313*j + 2398. What is the remainder when 2423 is divided by o(149)?
141
Suppose 234 = 21*v + 5*v. What is the remainder when 1654 is divided by v?
7
Let m(w) = -w**3 + w**2 - 2*w - 1. Suppose 104*k + 62*k = 15*k + 17214. What is the remainder when k is divided by m(-2)?
9
Let s(x) = x**3 - 5*x**2 - 47*x - 40. Let a = 81 - 45. What is the remainder when a is divided by s(-4)?
0
Let z = 182 - -549. Suppose 4*j - z = -3*t, 5 = -3*t - 4. Suppose 2*x + 2*q = 214, q + 320 + j = 5*x. What is the remainder when x is divided by 52?
50
Let b(g) = g**2 - 59*g + 1200. What is the remainder when b(24) is divided by 114?
18
Suppose 313*v - 411*v + 8428 = 0. Suppose 2*n = 3*f + 71, -2*n + 15 = 2*f - 31. What is the remainder when v is divided by n?
2
Suppose -3*w = 5*x - 70, 2*x - 49 = -5*w - 2. Calculate the remainder when (-200)/75*3/(-2) + 49 is divided by x.
9
Let z(b) = 2*b**3 - 57*b**2 + 37*b - 77. Calculate the remainder when z(28) is divided by 18.
13
Let w(i) = 95*i - 200. What is the remainder when w(4) is divided by 21?
12
Suppose r + 14 = 13, -r = -5*p + 126. Let g = 3 + 0. What is the remainder when p is divided by (0 - (-8)/3)*g?
1
Suppose -435*d + 11799 - 983 = -97*d. Calculate the remainder when 6943 is divided by d.
31
Let j(o) = -7*o - 266. Let q be j(-36). Let b = 40 + -69. Let m = q - b. What is the remainder when m is divided by 9?
6
Let x(o) = -2*o**3 + 11*o**2. Let p be x(5). Calculate the remainder when 4/(20/p)*9 is divided by 17.
11
Let n = 647 - 249. Let z = 431 - n. Calculate the remainder when 296 is divided by z.
32
Suppose -x - p + 37 = 2*x, p - 13 = -x. Let d = x - 10. Suppose d*t - 10 = 0, -s = 3*t - 0*t - 32. What is the remainder when 80 is divided by s?
12
Suppose -5*s = p - 871, 0 = -7*s + 4*s - 4*p + 526. Suppose -5*v = i - s, 324 = 2*i + 5*v - v. What is the remainder when i is divided by 31?
30
Calculate the remainder when 160 is divided by (-1)/8*-2 + (-1287)/(-52).
10
Let j = 37 + -33. Suppose -j*i = -67 + 47. Suppose -2*k + 182 = i*k. Calculate the remainder when 49 is divided by k.
23
Let r(x) = -x**3 + 8*x**2 + 8*x - 18. Suppose -7*v + v + 444 = 0. Let s = -66 + v. Calculate the remainder when r(s) is divided by 22.
2
Let l = -86 + 131. Calculate the remainder when l is divided by 2/(-19) + (-3910)/(-323).
9
Let k = 506 - 331. Let d = k + -78. What is the remainder when d is divided by 33?
31
Suppose 451*o = 468*o - 680. What is the remainder when 247 is divided by o?
7
Let f(m) = m**3 + 51*m**2 - 18*m - 46. What is the remainder when f(-51) is divided by 288?
8
Suppose 10*c - 3*l - 63 - 500 = 0, c - 5*l = 61. Calculate the remainder when c is divided by 37.
19
Let w = -26647 - -26658. What is the remainder when 603 is divided by w?
9
Let l(m) = -2*m**3 + 98*m**2 + 15*m - 73. What is the remainder when l(49) is divided by 7?
4
Suppose 390 = a - 4*z, -5*a + 332 = 4*z - 1498. What is the remainder when a is divided by 17?
13
Let d = -82 - -140. Let p(a) = -8*a + 7. Let u(h) = h**2 - 10*h + 8. Let i be u(9). Calculate the remainder when d is divided by p(i).
13
Suppose 4*g - 7*g = -126. Let c = 51 - g. Suppose 22 = -c*m + 319. What is the remainder when 197 is divided by m?
32
Suppose 44*u + 244 = 48*u. Suppose -w - 8 = n, 5*n = -w - 10 - 10. Let s = 18 - n. Calculate the remainder when u is divided by s.
19
Let f = 9692 - 9675. What is the remainder when 292 is divided by f?
3
Let h = 254 + -155. Suppose -u + 5*j + 42 = 0, 2*j + 186 - 288 = -4*u. Calculate the remainder when h is divided by u.
18
What is the remainder when ((-208)/3)/((-66)/90 - (-14)/35) is divided by 6?
4
Let x(b) = -b**3 - 34*b**2 - 103*b - 71. What is the remainder when x(-31) is divided by 12?
11
Let j(n) = -n**2 - 10*n - 21. Let q be j(-5). Suppose -468 = -4*z + 4*s, -q = -3*s + 2. What is the remainder when z is divided by 11?
9
Let m(v) = v**3 - 5*v**2 + 15*v - 8. Let p = -11 + 39. What is the remainder when p is divided by m(2)?
8
Suppose 4*g - 5*q = 217, 5*g - 347 = -3*q - 85. Let b(r) = r**2 - r + 26. What is the remainder when b(12) is divided by g?
52
Let i(u) be the third derivative of -11*u**4/6 - 5*u**3/6 - 34*u**2 - 2*u. Calculate the remainder when 74 is divided by i(-1).
35
Suppose 0 = 4*r - 5*t + 10*t - 1819, 4*t - 1363 = -3*r. Calculate the remainder when r is divided by 121.
98
Suppose -1405 - 755 = -78*d + 1272. Calculate the remainder when 1306 