remainder when 32 is divided by m.
8
Let d(j) = -j**3 - 10*j**2 - 5*j + 98. Let l = 161 - 58. Suppose 0 = -4*v + l + 49. What is the remainder when d(-10) is divided by v?
34
Suppose 17*q - 11*q = -24. Calculate the remainder when 161 is divided by (-848)/(-7 - 1)*(-2)/q.
2
Let b(x) be the first derivative of -11 + 0*x**2 + x**2 + 3*x - 6*x + 0*x. Calculate the remainder when 8 is divided by b(3).
2
Suppose 2*j - 13 = -3, 4*j - 520 = -4*k. Let p be 44 + -6*(6/2)/(-6). Suppose -m - 5 = -p. Calculate the remainder when k is divided by m.
41
Let f(q) be the first derivative of q**4/4 + 2*q**3/3 - 7*q**2/2 + q + 53. Let x = -5 - -8. What is the remainder when 45 is divided by f(x)?
20
Let o = -647 + 1215. Calculate the remainder when o is divided by 51.
7
Suppose -5*i + 2*i = -4*s + 361, 0 = -2*i - 3*s - 252. Let v = 18368 - 18573. Let a = i - v. What is the remainder when a is divided by 31?
20
Let t(k) = -76*k**2 - 29*k + 1. Let f be t(-3). Let h = 652 + f. What is the remainder when h is divided by 37?
19
Suppose 36 = 3*u + 2*q - 19, 2*u - 5 = 5*q. Suppose -27*r + 84 = -u*r. What is the remainder when r is divided by 3?
1
Calculate the remainder when -8 - 32/(-4) - -32 is divided by 74/6 + 8/12.
6
Suppose -r - 26*a - 14 = -22*a, r - 5*a - 40 = 0. What is the remainder when 12558 is divided by r?
8
Suppose 3*n + k - 629 = 0, 0 = 427*n - 422*n + k - 1049. Calculate the remainder when 829 is divided by n.
199
Let q(a) = -a**3 - 8*a**2 - 14*a + 3. Let m be q(-2). Suppose -m*f + 9*f - 60 = 0. Calculate the remainder when 113 is divided by f.
23
Suppose 398*p = 339*p + 2537. Calculate the remainder when 2061 is divided by p.
40
Calculate the remainder when (-2 - (-1 - 177))*(0 + 5/2) is divided by 221.
219
Suppose 108*p - 309*p = -16884. Calculate the remainder when p is divided by 19.
8
Suppose 4*g = 6*w - 7*w - 5, 47 = 5*w - 4*g. Suppose 0 = -w*z + 487 - 39. What is the remainder when z is divided by 14?
8
Let q(g) = g**2 + 8*g - 638. What is the remainder when 336 is divided by q(23)?
36
Let m(p) = -5*p**3 - 13*p**2 + 12*p + 48. Let c(b) = b**3 + b**2 - 2*b - 1. Let h(o) = -4*c(o) - m(o). Calculate the remainder when 148 is divided by h(-5).
72
Let l(i) = -1596*i - 2359. What is the remainder when l(-2) is divided by 59?
7
Suppose j - 58 - 29 = z, 2*z - 281 = -3*j. Suppose -10*x = -6*x - 3*f - j, 2*x - 5*f - 49 = 0. Calculate the remainder when 131 is divided by x.
21
What is the remainder when (-2)/20 - 146*(-7140)/400 is divided by 79?
78
Let z = 1580 - 1532. Suppose -3*m = m - r - 149, -2*r - 118 = -3*m. Calculate the remainder when z is divided by m.
12
Suppose -901*n = -23308 - 3722. Calculate the remainder when 2152 is divided by n.
22
Let d = 21269 + -2119. Calculate the remainder when d is divided by 252.
250
Let i(p) = p**3 + 4*p**2 + 7*p + 4. Let u be i(-4). Suppose -27*q + 1160 = 2*q. Let o = q + u. What is the remainder when o is divided by 9?
7
Suppose 7*v = 34 + 36. Suppose 238 = -v*x + 24*x. What is the remainder when 47 is divided by x?
13
Let v(a) = 1471*a - 2929. Calculate the remainder when v(7) is divided by 13.
10
Let b = -5118 + 5160. Calculate the remainder when 1633 is divided by b.
37
Let t(o) = o**2 + 5*o - 16. Let c be t(-9). Suppose -15*w - 35 = -c*w. Suppose 3*k + 6 = 0, 2*y + 0*y + 4*k = 0. Calculate the remainder when w is divided by y.
3
Let q = -190 - -193. Let u = 37 - q. What is the remainder when 66 is divided by u?
32
Suppose 0 = 4*j - 4*q - 72, -j + 5*q + 15 = 7*q. Suppose 38 = 5*i - j. Calculate the remainder when 41 is divided by i.
8
Suppose -4*l = -3*i + 20, 10*l - 12*l = -3*i + 10. What is the remainder when 70 + i + -3 + 3 + 0 is divided by 24?
22
Suppose -4*u + 5*j = -2*u - 151, 4*u + 2*j = 314. Let l(k) = -38*k - 278. Calculate the remainder when u is divided by l(-9).
14
Let s = 15715 + -15681. Let k(y) = y**3 - 7*y**2 - 12*y - 2. What is the remainder when k(9) is divided by s?
18
Let k(n) = -20*n + 245. Let x be k(12). Suppose 0 = 4*f + x*d - 39, 5*f - 8*f + 38 = -5*d. Calculate the remainder when (-23)/(-2)*4 + 2 is divided by f.
4
Let v = -130 + 227. Let y = v - 83. Let a = 69 + 0. Calculate the remainder when a is divided by y.
13
Suppose -116 = -11*t + 731. Suppose 2*i + 30 = -10. Let o = i - -40. Calculate the remainder when t is divided by o.
17
Let b be -2 - (2097/(-99) - 4/(-22)). Suppose -b = 20*h - 419. What is the remainder when 57 is divided by h?
17
Suppose 0 = -5*q - 2*x + 9, 22*q + 3*x - 3 = 18*q. Suppose -3*k + 14 = -2*y, -3*k + y = -8*k + 32. What is the remainder when (-21)/(-2) + 3/k is divided by q?
2
Suppose -3394 + 1337 = -11*y. Calculate the remainder when y is divided by 60.
7
Let u(a) = 82*a**3 + 2*a**2 - a. Let k be u(1). Let p be (222/(-12))/(8/16). Let f = k + p. Calculate the remainder when f is divided by 10.
6
Suppose 0 = -a + 5*m + 29 + 78, -4*m = 12. Suppose a*v = 122*v - 16680. Calculate the remainder when v is divided by 28.
24
Let j be (-2)/12 + (15/5)/18. Suppose j = 33*i - 28*i - 1085. Calculate the remainder when i is divided by 44.
41
Suppose 0 = 5*x - 34*o + 37*o - 486, -o + 2 = 0. What is the remainder when 2398 is divided by x?
94
Let o be ((-1)/(-7) - 116/28)/(-2). Suppose o*m - f = 124, -m - 6*f = -3*f - 76. What is the remainder when m is divided by 36?
28
Suppose -4*b + 70 = -6. Let l(n) = -11*n - 77. Let z be l(-14). What is the remainder when b is divided by 13 + 4/22 + (-168)/z?
8
Suppose 0 = -283*n + 287*n - 80. Calculate the remainder when n is divided by 1/((-2 - -3)/11).
9
Suppose 1543785 = -237*h + 465*h + 277*h. Calculate the remainder when h is divided by 145.
12
Suppose -4*b - 315 + 29 = -2*w, b = 4*w - 516. What is the remainder when w is divided by (-2)/(-6) + 154/6?
23
Suppose 2*f - 95 = -3*f. Suppose -r = -f - 5. Let i(c) = 3*c**2 + 45*c - 43. What is the remainder when r is divided by i(1)?
4
Let g(h) = 4*h**3 + 3*h**2 - 2*h + 1. Suppose -3*a + 5*v - 267 = -0*v, 246 = -3*a - 2*v. What is the remainder when 80/((-6)/a*7) is divided by g(2)?
37
Let i = 18 - 3. Let y(k) = -44*k - 1530. What is the remainder when i is divided by y(-35)?
5
Suppose 11 = -9*n + 74. Suppose 69*c - 65*c = 220. What is the remainder when c is divided by n?
6
Let l = -4953 + 7930. What is the remainder when l is divided by 176?
161
Let d be (3 + 0/3)*1 + 153. Let f be (d/30 + -6)*(-75)/2. Suppose 2 - f = -i. Calculate the remainder when 81 is divided by i.
25
Let p = 81 - -36. Suppose 4*u + 3*j = 6*j + 80, -37 = -u + 5*j. Calculate the remainder when p is divided by u.
15
Let s(p) = 23 - 89*p**3 + 88*p**3 - 2*p**2 + 9*p + 17*p**2. What is the remainder when s(8) is divided by 21?
18
Let m = 23 - 35. Let c = 155 + -108. Calculate the remainder when c is divided by (1 + -2)/9*m*6.
7
Let f(m) = -3*m + 53. Let u be f(7). Suppose -u*n + 220 = -22*n. What is the remainder when 74 is divided by n?
8
Let t(i) = 299*i + 2415. Calculate the remainder when 1346 is divided by t(-8).
12
Calculate the remainder when (36/(-10))/((-20)/200) is divided by (-2 - -15)/(1/1).
10
Let d(c) = 11*c**2 + 84*c - 23. Suppose 2 = 2*x - x. Suppose 2*n + t - 81 = 0, -t = 5*n + x*t - 201. Calculate the remainder when n is divided by d(-8).
6
Suppose 198*j - 181*j = 2380. Calculate the remainder when 156 is divided by j.
16
Let h be (388*-1)/(-22 - -20). Let z = 197 - h. What is the remainder when 10 is divided by z?
1
What is the remainder when 1287 - (12/(-9))/((-48)/(-360)) is divided by 117?
10
Let m be (12/(-4) - -2)*(47 + -4). Let z = -55 - m. What is the remainder when 49 is divided by ((-200)/z)/(2/3)?
24
Let k(j) be the second derivative of j**5/10 + j**4/12 - j**2/2 + 13*j. Let d be k(1). Suppose -2*l + 156 = d*l. Calculate the remainder when l is divided by 7.
4
Suppose -306 = 27*y - 45*y. Suppose -4*a + 27 = -49. What is the remainder when a is divided by y?
2
Let b = 75 - 67. Suppose 0 = -2*z + 4*q + 140, 0 = -2*q + 10 - b. Let t = -5 + 32. Calculate the remainder when z is divided by t.
18
Suppose 10*z = 7*z + 774. Suppose -3*y = 3*y - z. Calculate the remainder when y is divided by (-7)/(42/24) + 19.
13
Suppose b = 15*b - b - 2392. Calculate the remainder when 926 is divided by b.
6
Suppose -3*x - 3*w = 477, 2*w = -5*x - 699 - 105. What is the remainder when (-24984)/x - (-2)/