hat is the remainder when n(55) is divided by 29?
28
Let g(n) be the first derivative of n**4/4 + 5*n**3 - 8*n**2 + 13*n + 24. What is the remainder when 37 is divided by g(-16)?
11
Let o = 46 - 6. Let a(z) = 2*z**2 + 2*z + 2. Let b be a(-1). Suppose 0*r + 2*n = -b*r + 396, 4*r - 783 = 5*n. Calculate the remainder when r is divided by o.
37
Let a = 6323 - 6095. Calculate the remainder when 1398 is divided by a.
30
Let f(a) be the first derivative of -4*a**2 + 64*a - 14. Let n be f(10). What is the remainder when (-938)/(-8) - 12/n is divided by 15?
13
Suppose -29*n - 4115 = -5942. What is the remainder when 100 is divided by n?
37
Calculate the remainder when 755 is divided by -17 - 17/(136/(-688)).
65
Let y(b) = 6*b - 140. Let r be y(27). Calculate the remainder when 235 is divided by -27 + r + (5*5 - 0).
15
Let u = 5812 + -5327. Calculate the remainder when u is divided by 126.
107
Let d(l) = -l**3 + 6*l**2 + l. Let m be d(-5). Suppose -10*u = -38*u + 4536. Let c = m - u. What is the remainder when c is divided by 14?
10
What is the remainder when 288 is divided by 3 - -59 - -5 - (-12)/(2 + 4)?
12
Let f(m) = 18*m**2 + 25*m + 117. Calculate the remainder when f(-5) is divided by 93.
70
Suppose 5*g - 105 = -u + 6*u, -3*u = 2*g - 32. Suppose -g = 4*x - 91. Suppose -x*f - 78 = -21*f. What is the remainder when f is divided by 9?
8
Suppose -3*l - 27 = 3*g, 5*l - 3*g + 52 = -g. What is the remainder when (-726)/l - (-2)/5 is divided by 25?
23
Suppose -15*i + 2*r + 456 = -235, 0 = -2*i - 5*r + 129. Calculate the remainder when 746 is divided by i.
41
Suppose 10*a - 2*a = 3*a. Suppose 3*t - 90 + 15 = a. Calculate the remainder when 222 is divided by t.
22
Suppose -2*o - 270 = -t, -19*o - 1294 = -5*t - 17*o. What is the remainder when t is divided by 49?
11
Suppose 6*g - g = 400. Suppose -g*w = -84*w + 220. Calculate the remainder when 217 is divided by w.
52
Let l(p) = -p**2 - 71*p - 212. What is the remainder when l(-63) is divided by 63?
40
Let p = 46 - -104. Suppose -34*f + p = -24*f. What is the remainder when 104 is divided by f?
14
Let d(n) = -428*n + 18862. Suppose 4*h - 136 = a, 0*a + 102 = 3*h - a. What is the remainder when h is divided by d(44)?
4
Let n be -66 - (-2 + 1 + 5). Let t be ((-60)/n)/(2/14). Suppose t = 47*x - 44*x. What is the remainder when 11 is divided by x?
1
Suppose -k + 9 - 7 = 0. Suppose k*r = -5 + 43. Let w = r - 8. What is the remainder when w is divided by 4?
3
Suppose -4*l + 13 = 5. Let a be -1 + 5 + 1*-37. Let n = -24 - a. What is the remainder when n is divided by l?
1
Let q = -3379 + 3387. What is the remainder when 2014 is divided by q?
6
Calculate the remainder when 68 is divided by 9 + -10 - (4 + (-19 - -4))*2.
5
Suppose 4*b - 915 = 12*d - 17*d, 0 = -4*d + 28. Calculate the remainder when b is divided by 100.
20
Let x(j) = 13*j**2 - 2*j + 116. Calculate the remainder when 451 is divided by x(0).
103
What is the remainder when 3079 is divided by (1081 - 1060)*(-20)/(-6)?
69
Let k = -230 + 376. Suppose -46 = -r + 3*c, 4 + k = 3*r - 5*c. Calculate the remainder when 659 is divided by r.
54
Let l = -46 + 54. Let k be 6/(-144)*-6 - (-574)/l. Let v = k + -50. What is the remainder when 86 is divided by v?
20
Let i(l) = -3*l**3 - l**2 - 2*l - 4. Let h = 75 + -73. Suppose -w + 4*m = -h, -5*m = w - m + 6. Calculate the remainder when 59 is divided by i(w).
19
Suppose 0 = -7*q - 5*q + 24. Suppose -3*d = 4*p - 499, q*p - 121 = p - 2*d. What is the remainder when p is divided by 10?
7
Let x = 10208 - 10075. Calculate the remainder when 208 is divided by x.
75
Let r(p) = p**2 + 5*p - 6. Let s(o) be the third derivative of -7*o**4/24 - 125*o**3/6 - o**2 - 217*o. What is the remainder when r(4) is divided by s(-19)?
6
Let m = -305 - -297. Let u(a) = -3*a + 4 + 14 + a. What is the remainder when u(m) is divided by 12?
10
Let p(q) = 16*q**2 + 21*q - 86. What is the remainder when 610 is divided by p(3)?
5
Let c(m) = 5*m**2 - 9*m - 3. Let d be c(4). Suppose 37*r = d*r - 296. Calculate the remainder when r is divided by 6.
2
Suppose 510*v - 1257 = 507*v + 3*t, 2*v - 6*t - 834 = 0. Suppose -114 - 311 = -5*r. What is the remainder when v is divided by r?
80
Suppose 5*l + 3*q - 705 = -0*q, 5*l + 5*q - 705 = 0. What is the remainder when 286 is divided by l?
4
Let l(q) = 6*q**2 - 13*q + 87. Let h be l(12). Suppose -h = -6*b + 459. What is the remainder when b is divided by 7?
6
Let f(n) = -n**2 - n + 279. Let y be f(0). Suppose -6*z = 3*z - y. Calculate the remainder when (-36)/(3 + 51/(-15)) is divided by z.
28
Let l = 11214 - 11201. Calculate the remainder when 1636 is divided by l.
11
Let a = 27795 + -27492. Calculate the remainder when 508 is divided by a.
205
Suppose 5*g - 2*l + 4 = 41, 0 = 4*g - 2*l - 28. Let b = 8487 - 8452. Calculate the remainder when b is divided by 2/6 - (-87)/g.
5
Calculate the remainder when 409 is divided by ((5/3)/((-51)/(-459)))/((-1)/(-13)).
19
Let u be (3 + -4)/1 + 91. Suppose 3*a = -4*y + 103, 3*y - 6*y + 2*a = -u. Calculate the remainder when 220 is divided by y.
24
Let l(p) = 2*p**3 - 28*p**2 + 8*p - 66. Let o be l(12). Calculate the remainder when 134 is divided by (-376)/(-13) - 42/o.
18
Let z = -2988 + 3033. What is the remainder when 165 is divided by z?
30
Suppose 3*a + 310 = -5*u + 649, a + 261 = 4*u. What is the remainder when u is divided by 9?
3
Let p(n) = 12*n + 20*n + 67 + 2*n - 30*n. What is the remainder when 61 is divided by p(-14)?
6
Calculate the remainder when (-1)/17 - (-248532)/5066 is divided by 17.
15
Let d(n) = -2*n**3 + 8*n - 11. Let j be d(4). Suppose -v + 3*v + 4*l + 376 = 0, 2*v - 3*l = -369. Let h = j - v. What is the remainder when h is divided by 17?
11
Let y = -11 + 19. Let h = -321 - -647. Calculate the remainder when (-6)/21 - h/(-14) is divided by y.
7
Let t be 2 + -4*(-2)/4. Let h be (-9)/(-6)*t/(-2) - -5. Suppose -3*x + 334 = 5*k, -h*x + 132 = -0*k + 2*k. Calculate the remainder when k is divided by 12.
8
Let d = 14745 + -14703. What is the remainder when 2098 is divided by d?
40
Let q(s) = 3 - 21*s - 8 + 2. Calculate the remainder when 133 is divided by q(-2).
16
Let y(u) = -3*u - 3. Let m be y(-4). Suppose 3*a - 2*a + m = 0. Let o = a + 106. What is the remainder when o is divided by 20?
17
Suppose 4*w + 5*w = 117. Suppose -559 = 3*b + 4*p, b - 3*p + 384 = -b. Let m = b - -265. What is the remainder when m is divided by w?
11
Suppose 0 = 2*i - 4*q - 7530, -11*q - 3753 = -i - 6*q. Calculate the remainder when i is divided by 8.
5
Let g = 542 + -423. Calculate the remainder when 586 is divided by g.
110
Let k(x) = 95*x**2 + x + 1. Suppose 62*v = 241*v - 49762. What is the remainder when v is divided by k(-1)?
88
Calculate the remainder when 566 is divided by 258/387*((-1326)/(-4) - -3).
120
Let p = 4104 + -9. Suppose -37*o - 8*o + p = 0. What is the remainder when o is divided by 49?
42
Suppose 0 = 5*c - u + 71 - 191, 5*c - 4*u = 105. Let d be ((-70)/c)/(2/(-5)). Let f = d - -11. Calculate the remainder when 52 is divided by f.
16
Let g(k) = -2*k**3 - 3*k**2 + 6*k + 8. Let p be g(-3). Suppose -4*r + t = -p, r - 2*t - 18 = -3*r. What is the remainder when 10 is divided by r?
2
Let v = 7116 + -6334. What is the remainder when v is divided by 256?
14
Suppose 0 = 36*f - 41*f + 70. Suppose f*b = 222 + 58. Suppose 0 = -4*a - 8, -3*a - 2 = -s + 10. Calculate the remainder when b is divided by s.
2
Suppose -5*d = l - 23, -5*d + 27*l = 26*l - 27. Suppose 2*q - 7*q - d*i = -345, 0 = -3*q + 4*i + 200. What is the remainder when 135 is divided by q?
67
Let j = -55 + 57. Suppose j*a = 6*a + 8. What is the remainder when 1/a + 105/6 is divided by 9?
8
Suppose -461*k + 20178 + 19468 = 0. Calculate the remainder when 6706 is divided by k.
84
Let b(w) = -w**3 - 9*w**2 + 4*w + 4. Let u = -13 + 3. Let z be b(u). Suppose z = 3*f - 29. What is the remainder when f is divided by 11?
9
Let v(w) be the first derivative of -w**4/2 - 12*w**3 + w**2/2 + 24*w - 100. Suppose 3*k = 2*k + 11. What is the remainder when k is divided by v(-18)?
5
Let p be (-292)/(-9) + (-20)/45. What is the remainder when 76 is divided by ((-55)/20)/((-4)/p)?
10
Let f(z) = 9*z**2 - 48*z - 19. Let a(t) = -11*t**2 + 48*t + 18. Let g(o) = 6*a(o) + 7*f(o). What is the remainder when 825 is divided by g(-14)?
