n d(37) is divided by 7.
6
Let s be (-1)/(((-147)/(-35) - 4)*5). Let n be (-1)/(-4) + 646/8. Calculate the remainder when s/(-4 + n/21) is divided by 5.
2
Let h(z) = 6*z**2 - 19*z + 66. Let j = 146 - 143. Let p = 26 - 12. What is the remainder when h(j) is divided by p?
7
Suppose 0 = -2*u - 3*d + 7, d + 5 = 3*u. Suppose -u = -4*m - 2. Calculate the remainder when 8 is divided by m + 1 + 3/((-3)/(-2)).
2
Let z = -12482 - -12496. What is the remainder when 3450 is divided by z?
6
Let m(y) = 2*y**2 - 2*y + 2. Let d = -18 - -21. Suppose k - s = 14, k + d*k - s - 47 = 0. Calculate the remainder when m(-6) is divided by k.
9
Let l = -2 - -13. Suppose -x - 2*q + 60 = -l, 319 = 5*x + q. Suppose 2*y + 53 + x = w, -w + 110 = y. Calculate the remainder when w is divided by 29.
25
Let c(x) be the first derivative of 4*x**3 + 4*x**2 - 12*x - 11. Let y be c(-5). Let q = -169 + y. Calculate the remainder when q is divided by 8.
7
Suppose 0 = -110*m + 559 + 321. Calculate the remainder when 1131 is divided by m.
3
Let m be (-970)/35 + 4/(-14)*1. Let a = m - -30. Suppose -a*y - 3*y + 85 = 0. Calculate the remainder when 45 is divided by y.
11
Let v = -3521 - -1361. Calculate the remainder when (2/4)/(3/v*-9) is divided by 21.
19
Let b(z) = -z**3 - 27*z**2 - 187*z + 15. Calculate the remainder when 1010 is divided by b(-14).
75
Let g(s) = 12*s**2 + 18*s + 101. Let o be g(-5). Suppose -883 = -3*a - 29*j + 31*j, -a + 4*j = -o. Calculate the remainder when a is divided by 21.
18
Let a be (-48)/(-36)*(-27)/(-4). Suppose -13*h + 594 = a*h. Calculate the remainder when 66 is divided by h.
12
Let p(x) = -31*x + 376. Calculate the remainder when 516 is divided by p(8).
4
Let a(j) be the second derivative of 2*j**3 + 10*j**2 - 67*j + 1. Calculate the remainder when 34 is divided by a(-1).
2
Suppose 2*h - 692 - 8 = 2954. What is the remainder when h is divided by 4?
3
Let s = -474 + 483. Suppose 0 = s*m + 2*m - 99. What is the remainder when 188 is divided by m?
8
Suppose -q = 2*q. Suppose 2*f - 15 - 13 = q. Suppose 7*t + 9*t - 958 = -238. Calculate the remainder when t is divided by f.
3
Let k be ((2 - 6) + 6)*(-2 - -3). Suppose -54 = k*q + 10. What is the remainder when (-1)/4 + (-3272)/q is divided by 13?
11
Let r = -1383 - -1655. What is the remainder when r is divided by 70?
62
Let p(y) = 3*y**2 + 22*y + 36. Let w be p(-7). Let l = w + 6. Calculate the remainder when 312 is divided by l.
32
Let x be ((-108)/(-9))/((-2)/(-10)). Suppose x = 5*h - 70. Let g = -4 + h. What is the remainder when 85 is divided by g?
19
Let d(f) = -f**3 - 5*f**2 + 13*f - 12. Let r be d(-10). Suppose -5*h = -3*u + r, 4 = -4*h - 16. What is the remainder when u is divided by 19?
16
Let k = 5127 - 5091. Calculate the remainder when 196 is divided by k.
16
Let q = 97 - 95. Suppose -4*d + 34 = -2*h, q*d - 44 = -5*h + 3. What is the remainder when d is divided by 10?
1
Let m = -61 - -19. Let d = m + 81. Calculate the remainder when d is divided by 6.
3
Let n = 48 - 34. Let g be -6*(2/(-1) + 1). Let d = 11 - g. What is the remainder when n is divided by d?
4
Suppose 5*n + 6144 = 28*n + 73*n. Calculate the remainder when n is divided by 27.
10
Suppose 0 = 13*k + 22383 - 22981. Let o = 33 - 22. What is the remainder when k is divided by o?
2
Suppose p + 2 = -m + 3*m, -m - 5 = -2*p. Suppose -3*f - 16 = 5*w - 6*w, 2*w - 2*f = 20. What is the remainder when 27/(1/(m/3)) is divided by w?
6
Let j be (-4)/14 - 390/(-42). Let z(p) = p**3 - 8*p**2 - 7*p + 6. What is the remainder when 89 is divided by z(j)?
17
Let n = 4 + -2. Suppose 0 = -324*h + 189*h + 945. Calculate the remainder when h is divided by -1 - (-1 + n*-1).
1
Suppose -3*u - 3*o + 174 - 48 = 0, 138 = 4*u - 2*o. Suppose -43*k + 90 = -u*k. Calculate the remainder when 47 is divided by k.
2
Suppose -14423*t + 14464*t - 8692 = 0. Calculate the remainder when 439 is divided by t.
15
What is the remainder when ((-56)/(-70))/(18/13995) is divided by 57?
52
Let v = 67462 + -67441. Suppose -a + 4*a + 4*y = 517, -4*a = -5*y - 648. Calculate the remainder when a is divided by v.
20
Suppose 0*h + 104 = -13*h. Let m be -1 + -29 - h/(-4). Let b = m + 36. Calculate the remainder when 7 is divided by b.
3
Let d be (0 - -12)/((-3)/4). Let n = 95 - 53. Let a = d + n. What is the remainder when a is divided by 16?
10
Let t = -463 + 521. Suppose 4*w + 5*c - 297 = 0, -c = 3*w + t - 278. Calculate the remainder when w is divided by 11.
7
Suppose 68*x - 80*x - 4*g + 3696 = 0, -g = 2*x - 617. What is the remainder when x is divided by 8?
3
Let z = -17942 + 18714. What is the remainder when 1567 is divided by z?
23
Suppose -30*o + 1237 = 18*o - 1547. Calculate the remainder when 111 is divided by o.
53
Let s = 29135 - 29019. Calculate the remainder when 36770 is divided by s.
114
Suppose -2*q - x + 38 = 0, 0 = 5*q - 6807*x + 6811*x - 98. Calculate the remainder when 3771 is divided by q.
9
Suppose 0 = 4*m + 25*m - 1305. What is the remainder when (-5652)/(-63)*(5/2 - -1) is divided by m?
44
Suppose -3*j + 84 = -135. Let p = j - 36. Suppose 5*d + 2*t + 11 - p = 0, 5*d + 3*t = 24. Calculate the remainder when 38 is divided by d.
2
Let z(g) = -106*g - 4707. Let c = 23 - 19. Calculate the remainder when z(-46) is divided by c.
1
Let z be (-552)/(-28) + (-4)/(-14). Let x be (-7 - (6 + -29)) + 3. Calculate the remainder when 30 is divided by x - ((-6)/(-10) - (-48)/z).
14
Suppose -129 = 2*c - 5*c. Suppose 2*z + 248 = -412*n + 414*n, -5*z + 35 = 0. What is the remainder when n is divided by c?
2
Let g(i) be the first derivative of -i**2/2 - 13*i + 2. Suppose -5*y - 2*l = 91, -2*y + 3 = -3*l + 28. What is the remainder when 10 is divided by g(y)?
2
Suppose 138 = 11*t - 357. Calculate the remainder when 95 is divided by -48*(t/(-10) - -4).
23
Suppose -5*g + 200 = 2*p + 3*p, -140 = -4*g + p. Calculate the remainder when 458 is divided by g.
26
Let j be 4/2 + (3 - 1) + -3. Suppose -3*m = 5*h - 7551, 0*m + 5*m + 4551 = 3*h. What is the remainder when 82 is divided by h/(-48)*j/3*-2?
19
Suppose 597*c - 130 = 596*c. What is the remainder when c is divided by 45?
40
Let s = 1532 + -4018. Calculate the remainder when s/(-33) - 2/6 is divided by 11.
9
Suppose -56*f - 4*f = -11*f - 13916. Calculate the remainder when f is divided by 8.
4
Let t(m) = 2*m - 29. Let k be 1005/(-5)*3/(-9). Suppose -81 = -4*l + k. What is the remainder when l is divided by t(21)?
11
Let c be ((-164)/10)/(4/(-50)). Suppose 5*l - c = -2*d, 4*l - 164 = 2*d - 0*d. Calculate the remainder when 324 is divided by l.
37
Suppose -3*g = 2*s - 19, 0 = -4*g + 7*g + s - 14. Suppose 17*z = g*z + 4466. Calculate the remainder when z is divided by 16.
15
Let z = 207 + -215. Let v(l) = 3*l**2 + 13*l - 35. Calculate the remainder when v(z) is divided by 27.
26
Let a(z) = 5*z**2 - 7*z + 6. Calculate the remainder when a(4) is divided by 3/(-69) + (-21798)/(-1449).
13
Let f = -27 + 28. Let k be ((-18)/8)/(3/(-12)). Let h(d) = -d**2 + 10*d - 8. Calculate the remainder when h(k) is divided by f.
0
Let q be (13 + -13)/((-3)/3). Suppose q = 2*a, -4*h + 34 - 6 = -3*a. Calculate the remainder when 95 is divided by h.
4
Let g(j) = -45*j**3 - 2*j**2 + 2. Let l(q) = -19*q + 104. Calculate the remainder when l(-11) is divided by g(-1).
43
Let i = 334 + -337. Let v(q) = 16*q**2 - q + 7. Calculate the remainder when v(i) is divided by 31.
30
Suppose 4*m = -6*d + 6076 + 2188, -m = -2. Calculate the remainder when d is divided by 17.
16
Suppose 89*t - 38794 = 167403 + 185403. What is the remainder when t is divided by 163?
162
Let f(o) be the third derivative of o**5/12 - 5*o**4/24 - 2*o**3/3 + 31*o**2. Let g = 945 - 612. What is the remainder when g is divided by f(-3)?
53
Let y = 16454 + -16301. What is the remainder when 631 is divided by y?
19
Suppose 11*z - 816 = 490 - 646. What is the remainder when 2837 is divided by z?
17
Let n(m) = 2*m**3 - 92*m**2 + 200*m - 240. What is the remainder when n(44) is divided by 41?
37
Calculate the remainder when (((-1261)/3)/(128/1536))/(0 + -1) is divided by 29.
27
Let y(t) = 2*t + 27. Let z be y(-12). Let n(f) = -1 + f**3 + 3*f**z + f**3 + 6*f**3 - 2*f - f**2. Calculate the remainder when n(2) is divided by 16.
15
Let k(x) = -347*x - 3772. What is the remainder when k(-13) is divided by 74?
73