en j(-111) is divided by 63.
20
Let n(z) be the third derivative of 1/3*z**4 + 0 + 0*z + 10*z**2 + 5/6*z**3. What is the remainder when n(6) is divided by 14?
11
Suppose 29*w = w - 0*w + 50932. Calculate the remainder when w is divided by 166.
159
Suppose -5*t = -h + 283, -3*t - 348 + 1107 = 3*h. Let c = h - 104. Suppose -c = -u - 71. What is the remainder when u is divided by 21?
20
Suppose -5*x - 11 = -3*k, 4 = -4*x - 3*k + 6. Calculate the remainder when 35 is divided by (((-18)/(-5))/(-6))/(x/30).
17
Let o = -8054 - -9787. Calculate the remainder when o is divided by 67.
58
Let a(l) = 2*l**3 - 4*l**2 + 3*l. What is the remainder when 16 is divided by a(2)?
4
Let m = -142 - -97. Let x = 40 + m. Let v(p) = -7*p + 21. What is the remainder when v(x) is divided by 20?
16
Calculate the remainder when (-8)/10*(5 - (-17545)/(-58)) is divided by 133.
105
Let g = 248 - 96. Calculate the remainder when g is divided by ((-2)/(-4))/(3/(4620/10)).
75
Suppose -671 = -37*t - 153. Calculate the remainder when 15/2*84/5 is divided by (t/(56/86))/(1/2).
40
Let g(h) = -h**3 + 17*h**2 + 3*h - 35. Let x = -47 - -268. Suppose 3*w - x = -10*w. What is the remainder when g(w) is divided by 4?
0
Suppose 0 = 16*z + 10*z - 11*z - 165. What is the remainder when 2262 is divided by z?
7
Suppose -3*r - 24 = -h, 0 = -85*h + 87*h - 2*r - 32. Let l = -79 - -173. Calculate the remainder when l is divided by h.
10
What is the remainder when 332 is divided by (64/60 - 2/5) + (-29656)/(-264)?
106
Suppose 16 = 4*j - 0*j. Let o be (2/j)/(-5 - 186/(-36)). Suppose 4*x - o*m = 89, 15 = -0*m - 5*m. Calculate the remainder when x is divided by 12.
8
Let q(s) = -10*s + 87. Let v(n) = 9*n - 88. Let l(t) = 3*q(t) + 4*v(t). Calculate the remainder when l(44) is divided by 32.
13
Suppose s = -s + 4*b, 5*b - 1 = 2*s. Suppose s*q - 71 - 405 = -5*j, 296 = 3*j - 4*q. Calculate the remainder when 283 is divided by j.
91
Let o = 336 - 334. What is the remainder when 5 is divided by o?
1
Suppose 0 = 18*t - 232 - 1136. Calculate the remainder when t is divided by (-80)/(-3) + (-2)/3.
24
Suppose -214 = -4*y + 3*p, 4*p = -y + 9*p + 28. What is the remainder when 162 is divided by y?
46
Suppose 4*g + d - 52 = 0, 6 = g + 3*d - d. Suppose 34*m - 1756 = 5792. Calculate the remainder when m is divided by g.
12
Suppose -11042 + 94 = -46*l. What is the remainder when l is divided by 127?
111
Suppose 12*b - 28236 = -17*b + 27328. What is the remainder when 3837 is divided by b?
5
Let g(q) = 22*q**2 - 216*q - 26. What is the remainder when 387 is divided by g(10)?
9
Suppose -3*c - n + 136 = 3*n, -5*n = 2*c - 79. Let d = c + -30. Let p(r) = 9*r**2 + 1504*r + 251. Calculate the remainder when p(-167) is divided by d.
18
Let t be 6/30 + 4/(-20). Suppose 2*u = -2*l - u + 3, t = 2*u + 2. Suppose 0 = 2*g + l*x - 276, -3*x = -0 + 6. Calculate the remainder when g is divided by 24.
21
Let j = -6 + -38. Suppose 0 = 2*t + l + 1597, t + l + 49 = -748. What is the remainder when 88 is divided by (-10)/55 + t/j?
16
Let j be ((-20)/(-15))/(2/3). Suppose j*f + 96 = -2*c, -2*f + 5*c = -6*f - 196. Let t = -38 - f. What is the remainder when 53 is divided by t?
5
Let n(z) = 2*z**3 + 42*z**2 + 4*z + 106. What is the remainder when 7566 is divided by n(-21)?
20
Suppose -150*v = 57896 - 175196. Calculate the remainder when v is divided by 7.
5
Calculate the remainder when 306 is divided by 20 + ((-22)/(-7) - (-10)/350*-5).
7
Let r = 16 + -10. Let l = 612 + -344. Suppose 2*d + l = r*d. What is the remainder when d is divided by 17?
16
Suppose 3*p - 15 = -0. What is the remainder when (-1 - (2 - 4))*(p + 42) is divided by 28?
19
Let o(d) = 384*d**2 - 37*d - 19. What is the remainder when o(-2) is divided by 137?
84
Suppose 3*w - 10*c = -14*c + 156393, 3*w + 3*c = 156399. Calculate the remainder when w is divided by 316.
315
Suppose 4*l - 124 = -4*g + 8, 2*l = -3*g + 65. Suppose -97*i + 93*i + 1320 = 0. Suppose 0 = -69*s + 74*s - i. What is the remainder when s is divided by l?
32
Let v(q) = -62*q + 8. Let f be v(-17). Suppose 3*h - 627 = -4*i + 3*i, 5*h - 4*i = f. Suppose -5*l = h - 590. Calculate the remainder when l is divided by 16.
12
Let j be (-3)/(-6)*-118 + -7. Calculate the remainder when 237/(-4)*440/j is divided by 80.
75
Suppose 56*d - 3199 + 1183 = -0*d. Calculate the remainder when 6695 is divided by d.
35
Let i(n) = 3*n**3 - 6*n**2 + 2*n + 2. Suppose 0 = 4*h - 8. Calculate the remainder when 41 is divided by i(h).
5
Suppose f = -3*f - x + 283, 4*x = -5*f + 351. Let m = 192 - f. What is the remainder when m is divided by 22?
11
Let t(x) = -4*x**3 + 5*x**3 - 5*x - 8*x**2 + 64 - 52. Let u be t(8). Let o = u + 38. What is the remainder when 19 is divided by o?
9
Suppose -13*o - z = -10*o - 322, -2*o = -2*z - 196. What is the remainder when 1994 is divided by o?
104
What is the remainder when 524 is divided by (6/(-20) + (-32)/(-40))/(14/2856)?
14
Suppose 352 = 17*q - q. Suppose 472 - 1462 = -q*y. What is the remainder when 88 is divided by y?
43
Let b(k) = -23*k + 296. Suppose 2*z = y + 26 - 1, -2*z + 5*y = -37. Calculate the remainder when b(z) is divided by 34.
9
Calculate the remainder when 1324 is divided by 2034/40 + (-189)/(-1260).
49
Let s = -139 - -227. Suppose -2*c + 26 = -4*r, -4*c - r - 3*r + s = 0. Let j = -134 - -208. What is the remainder when j is divided by c?
17
Suppose -1445 = -2*a - 29. Let g = 768 - a. Calculate the remainder when g is divided by 31.
29
Let x = -1944 - -7403. Calculate the remainder when x is divided by 105.
104
Let k(r) = 55*r**2 + r - 1. What is the remainder when k(1) is divided by (1659/(-158))/((-6)/16)?
27
Suppose 0 = -56*k + 9138 - 10. Calculate the remainder when 8964 is divided by k.
162
Suppose 0 = -2*w + 76 + 42. Let x = -15614 + 15629. Calculate the remainder when w is divided by x.
14
What is the remainder when (-7)/(1470/(-6692)) + (-4)/(-30) is divided by ((-3)/(-24) - (-50)/(-16)) + 14?
10
Let v(o) = -o**3. Suppose -8 = 5*n + 2. Let d(i) = -1. Let x(t) = n*d(t) - v(t). What is the remainder when 39 is divided by x(2)?
9
Let h(q) = -q**3 + 5*q**2 + 5*q + 7. Suppose -3*u + z + 955 = 0, -2*u + 34*z - 39*z = -631. What is the remainder when u is divided by h(5)?
30
Suppose 3*h = -4*s + 375, -h - 47 = -2*s + 148. Suppose 52*m = 50*m + 18. Calculate the remainder when s is divided by m.
6
Suppose -93*j - 10019 = -327*j + 7063. Calculate the remainder when 1091 is divided by j.
69
Suppose -18*v + 18 = -18. Suppose 26 = 2*r + 5*x, v*r - 34 = x + 4. Calculate the remainder when 35 is divided by r.
17
Suppose 4*s = -3*i + 212, -5*s + 2*i = -0*i - 265. Let j = s - 51. Suppose 20 = j*n - 16. Calculate the remainder when 71 is divided by n.
17
Let x = 0 + -11. Let g(i) = -i**2 - 13*i - 5. Calculate the remainder when 65 is divided by g(x).
14
Let h be (9 - 4)*(-3)/(-3). Suppose 7*b = h*b + 116. Calculate the remainder when b is divided by ((-6)/(-10))/(13/325).
13
Suppose -2*n + 0 = 4*s - 30, -4*n = -4*s + 36. Suppose 5*z - 7 = s. Suppose -2 = -j + z, -4*k + 64 = -4*j. Calculate the remainder when 39 is divided by k.
18
Let v be 2/(5/(-2) - -3). Suppose -l - v + 9 = 0. Suppose -5*k = -i + 43 + 18, 2*k = l*i - 305. Calculate the remainder when i is divided by 17.
10
Suppose 357 = -b - 2*o + 877, -5*b + 2610 = 5*o. Calculate the remainder when b is divided by 75.
74
Let i = 4988 - 3370. What is the remainder when i is divided by 116?
110
Calculate the remainder when 679 is divided by (-116)/14*(76/(-10) - (-249)/415).
41
Suppose -5*d - 114 = 4*j, 4*j - 4*d = -d - 130. Let r = 47 + j. Calculate the remainder when 179 is divided by (-3 + 152/r)/(1/4).
23
Let r = -130 - -184. Let y = 153 - r. What is the remainder when y is divided by 22?
11
Let s(u) = u**2 + 4*u - 13. Let d be s(3). Let m(l) = l**2 + 15*l + 6. Calculate the remainder when m(d) is divided by 12.
10
Suppose 83409 = 297*k - 19353. Calculate the remainder when 1046 is divided by k.
8
Let q(p) = 4*p**2 + 6. Let b be 4/8*-4 - -25. Suppose -35 = 3*d - b. What is the remainder when q(d) is divided by 24?
22
What is the remainder when (128 + 1)/(1/1) is divided by (-87 - -88)*44/2?
19
Suppose 0 = -2*i + 8, -34*i + 30*i + 2170 = 2*s. What is the remainder when s is divided by 154?
153
Let d = 25151 + -24983. Calculate the