. Calculate the remainder when d(u) is divided by x.
3
Let v be 2*1/7 + (-3000)/(-84). Let a = -3 + v. Let x(n) = 95*n**2 + 1. What is the remainder when x(-1) is divided by a?
30
Suppose 5*f = 4*f - 5, 4*f = x - 87. Suppose -x = 3*j + 74. Let s = 67 + j. What is the remainder when 78 is divided by s?
18
Let t(d) = -2*d**3 - 6*d**2 + 38*d - 173. What is the remainder when t(-9) is divided by 93?
85
Suppose -2*p + 3*m + 106 = 0, p = -p - 2*m + 116. What is the remainder when 96 is divided by p?
40
Let q(g) = g**2 + 4*g - 6. Let k(m) = 17*m**2 - 488*m + 1324. Calculate the remainder when k(26) is divided by q(6).
20
Suppose 0*p - 320 = -4*p. Let m = 162 - p. What is the remainder when m is divided by 14?
12
Let z = -32400 + 32499. Calculate the remainder when 6533 is divided by z.
98
Let f be (-15 + 16)/(1 + -2). What is the remainder when 37 is divided by 28/(-42) + 6 + f/3?
2
Suppose 3 = -2*n + 1. Suppose -17*v + 9 = -8. Calculate the remainder when 133 is divided by (n - -5) + 30/v.
31
Suppose 0*t = 25*t - 350. Let a = 156 + t. Calculate the remainder when a is divided by 18.
8
Suppose -2*t + 2 + 26 = 0. Calculate the remainder when (-32)/384 + 661/12 is divided by t.
13
Suppose -f - 4*l = -30, 2*l - 5*l = 4*f - 120. Let k(j) = -j**3 - 10*j**2 + 65*j - 35. What is the remainder when k(-15) is divided by f?
25
Let m(s) = s**3 + 18*s**2 - 37*s + 4. Let p = -46 + 26. Let u be m(p). Calculate the remainder when 147 is divided by u/(-6) + (-8)/(-12).
7
Suppose -11*u = 240 + 24. Calculate the remainder when 22 is divided by (-1)/(-2) - (132/u - 10).
6
Let i = -154 + 158. Suppose -8 = -4*s + i, 0 = -2*q - s + 129. Calculate the remainder when q is divided by (-1 - -4)/((-6)/(-32)).
15
Let y(d) = 4*d**2 + 3*d - 5. Suppose 3*b - 61 = b + 3*q, -2*b + 5*q + 63 = 0. Calculate the remainder when y(5) is divided by b.
23
What is the remainder when (5*(-3214)/8)/(0 - (-35)/(-56)) is divided by 323?
307
Let x(b) = -b - 4. What is the remainder when 215 is divided by x(-10)?
5
Suppose -4*f - 56 = -d, 9*d - 5*d + 2*f - 152 = 0. Let b be (-2 + 5)*(3 - 0). Let x = b + 9. What is the remainder when d is divided by x?
4
Let t be ((-5)/10)/((-2)/620). Suppose 568 = -151*j + t*j. What is the remainder when j is divided by 12?
10
Let d = 41774 + -31272. What is the remainder when d is divided by 34?
30
Let p = -8516 + 8541. Calculate the remainder when 2771 is divided by p.
21
Suppose -5*d + 5*f = -600, 151 = 5*d - 4*f - 449. Let w = 135 - d. What is the remainder when 745 is divided by w?
10
Let k(y) = -y**3 + 35*y**2 + 38*y + 217. Calculate the remainder when k(36) is divided by 21.
16
Let t = 258 - -214. Let a = 699 - t. What is the remainder when a is divided by 21?
17
Let t = 5387 - 5280. What is the remainder when t is divided by 40?
27
Let o(z) = -z**2 + 50*z + 870. What is the remainder when 89 is divided by o(-13)?
38
Let t(q) = -66*q - 594. Calculate the remainder when 1053 is divided by t(-11).
129
Suppose 2*j = -2*x + 72, -20*j = x - 21*j - 28. What is the remainder when (x - 125)/((-2)/6) is divided by 94?
91
Let h(b) = b**3 + 27*b**2 + 19*b - 679. Let u(l) = -l**2 - 4*l + 6. What is the remainder when h(-25) is divided by u(-5)?
0
Let k = -111 + 62. Let b = 28 - k. Calculate the remainder when b is divided by 21.
14
Let t(q) = 80*q - 1622. Let i(h) = h**2 + 9*h - 10. Let m be i(-10). What is the remainder when t(21) is divided by 21 + m*(-1)/(-2)?
16
Let x = -247 - -653. Let h = x + -314. Calculate the remainder when h is divided by 16.
12
What is the remainder when 349 is divided by 19/(-38)*((-12)/(-10))/(15/(-350))?
13
What is the remainder when (-11)/44*(4 - (1641 - -7)) is divided by 90?
51
Let k(c) = -66*c + 34. Let a be k(5). Let l = a - -302. Calculate the remainder when 18 is divided by l.
0
Suppose -5*x + 2*n = 5*n - 160, -2*n = 10. Calculate the remainder when 4/10 - (-406)/x is divided by 6.
0
Suppose 3*u + 2*u = -3*d + 161, 66 = 2*u + 2*d. Let p = 4589 - 4497. Calculate the remainder when p is divided by u.
30
Let j(u) = -u**2 + 4*u + 5. Let k be j(4). Let d(h) = 0 + 10*h + 2 + 7 + 2*h. What is the remainder when d(k) is divided by 9?
6
Let u be (-17)/4 - -2*(-1)/(-8). Let j = 95 - u. Calculate the remainder when j is divided by 20.
19
Suppose 0 = -2*w + 3*r + 253, 10*r + 520 = 4*w + 6*r. What is the remainder when 13287 is divided by w?
135
What is the remainder when (0 - 295)/(665/35 - 20) is divided by 21?
1
Let q(s) = s**3 + 48*s**2 - 57*s - 378. Let r(i) = 2*i**2. Let m be r(1). Let c(v) = 17*v. What is the remainder when c(m) is divided by q(-49)?
6
Let f(k) = k**2 + 2*k - 65. Let z be f(-9). Suppose 0 = t - 4 + 2. What is the remainder when t is divided by z/(12/30 - 36/15)?
0
Suppose 262*t - 116*t + 178*t - 60912 = 0. Calculate the remainder when t is divided by 61.
5
Suppose 2*s = -0 + 2. Let w(q) = q + 3. Let f be w(0). Suppose 6 = -f*k, c - k = -2*c + 5. What is the remainder when c is divided by s?
0
Let r be 33 + 11 + -2 + 2 + -1. Suppose 2*v = 4*u + 44, u + r = 5*v - 22. Calculate the remainder when 93 is divided by v.
9
Let g = 17793 + -17614. Calculate the remainder when 816 is divided by g.
100
Let f = -496 + 499. Suppose 0*q - 40 = -f*q - 5*a, -25 = -q - 4*a. What is the remainder when q is divided by (-2 + -3)*(-8)/10?
1
Let w be (30/(-18))/((-15)/36). Suppose w*x - 120 = 4*r, -16*r + 11*r = -2*x + 66. Calculate the remainder when 105 is divided by x.
21
What is the remainder when (3 + (-2)/(-2))/(132/2937) is divided by 6?
5
Let x = 10 + -6. Let u be (69/115)/(1/15). Suppose -u*p = 3 - 57. What is the remainder when p is divided by x?
2
Let c = -18588 + 19987. Calculate the remainder when c is divided by 38.
31
Suppose 31*x = 28*x + 732. Suppose 8*j - 180 - x = 0. What is the remainder when j is divided by 20?
13
Suppose 0 = -2*q - 5*s + 1427, -4*s + 706 = q - 9*s. Calculate the remainder when q is divided by 51.
48
Suppose -22*k + 2420 + 6358 = 0. Suppose 10*n - k = 2941. Calculate the remainder when n is divided by 24.
22
What is the remainder when ((-2)/14 - 243/63)*585/(-10) is divided by 54?
18
Let y(w) = 278*w**2 - 50*w + 37. What is the remainder when y(3) is divided by 104?
101
Let i(k) = k**3 - 5*k**2 - 8*k + 11. Let p be i(6). Suppose 0 = 5*u - l - 9 - 22, 2*u = -l + 11. Calculate the remainder when u is divided by 7*(532/98 + p*5).
0
Suppose 3*y = -a + 124, 3*a - 2*y - 7 - 310 = 0. Suppose 0 = q + 73 - a. What is the remainder when 11 is divided by 52/10 - q/(-45)?
5
Let r = 84 + -87. Let x(a) = -6*a**3 + 2*a + 12. Let i be x(r). Let g = -135 + i. Calculate the remainder when g is divided by 7.
5
Let i(l) = 2*l**3 - 79*l**2 - 29*l + 133. What is the remainder when i(40) is divided by 88?
45
Let l = -12 + -28. Let y(w) = -2*w**2 - 19*w + 63. Let u be y(4). Let i = l - u. Calculate the remainder when 13 is divided by i.
3
Let n(j) = 5*j - 54. Let t(s) = 5*s - 55. Let o(b) = 3*n(b) - 2*t(b). What is the remainder when o(12) is divided by 7?
1
Let u be 6/(-24) + 53/4. Let c = 41 + -38. Suppose 4*g - u - 58 = h, 3*h = -c*g + 42. What is the remainder when 114 is divided by g?
12
Suppose 18*u - 13*u = 470. Let d = u - 70. Calculate the remainder when 110 is divided by d.
14
Suppose -g = -10 - 0. Suppose -194 + 694 = g*b. What is the remainder when b is divided by 21?
8
What is the remainder when (-288000)/(-156) + -5 + (-126)/(-26) is divided by 66?
64
Suppose 4*y + a - 891 = 0, -3*y + 1029 = -3*a + 357. Calculate the remainder when y is divided by 75.
73
Let b(i) = -3*i**3 - 161*i**2 - 270*i + 43. What is the remainder when b(-52) is divided by 277?
9
Suppose 0 = -u - 5*k - 2 - 0, 46 = 5*u - 3*k. Suppose 49*v + 2*b + 433 = 54*v, -2*b - 178 = -2*v. Calculate the remainder when v is divided by u.
5
Let g(j) = -3*j**2 + 259*j + 711. What is the remainder when g(55) is divided by 46?
39
Let t(q) be the second derivative of 2*q**3/3 - 9*q**2/2 + 10*q. Let x be t(0). What is the remainder when 4 - (x - (-2 - -1)) is divided by 5?
2
Suppose -4 = -0*s + 5*s + 2*q, -4*s - 3*q = -1. Suppose 3*d = -2*l + 16, 5*d + 10*l = 11*l + 5. Calculate the remainder when 25 is divided by d/s - (-44)/11.
1
Let f be -1*4*49 - 0/(-30). Let b = f + 222. Suppose -3*y + 231 = -0*y. Calculate the remainder when y is divided by b.
25
Let s 