lculate the remainder when j is divided by p.
4
Let i = 3800 + -2891. Calculate the remainder when i is divided by 57.
54
Let j(c) = -71*c - 12. Let f be j(-4). Suppose f = 4*k - 460. Calculate the remainder when k is divided by 17.
13
Suppose -6*z = -15*z + 7*z + 32. What is the remainder when 1757 is divided by z?
13
Let t(l) be the third derivative of 13*l**4/24 - 4*l**3/3 + 35*l**2. Let z = 4 + -2. What is the remainder when t(1) is divided by z?
1
Let x = -112 + 180. Let w = -59 - -71. Calculate the remainder when x is divided by w.
8
Let o be (-1 - -1) + -2 + 189 + 1. Let q = o + -121. Calculate the remainder when q is divided by 35.
32
Let u = -92 + 256. Suppose -22*z + 18*z + u = 0. Suppose w = 3*w + 4*q - 306, -148 = -w - 3*q. Calculate the remainder when w is divided by z.
40
Calculate the remainder when 1978 + (9 - -3 - 12) is divided by 36.
34
Let q be 34/(-255) + (-608)/(-60). Suppose -155 - 625 = -q*h. Calculate the remainder when h is divided by 14.
8
Suppose 6*s + 3*w - 84 = 3*s, 2*w + 40 = s. Suppose p + 4*p = 170. Let c = -17 + p. Calculate the remainder when s is divided by c.
15
Suppose -1658*r + 1660*r - n = 63, 4*r = -n + 141. Let t = 13 + -9. What is the remainder when r is divided by t?
2
Suppose 0*k - 3*k = 4*u - 40, 6 = k + 5*u. Let p = k + 22. What is the remainder when 113 is divided by p?
37
Suppose -271*m = -278*m + 3773. Let l = m - 515. What is the remainder when l is divided by 14?
10
Suppose l - 15193 = -15045. Calculate the remainder when l is divided by 0 - -1 - -73 - -2.
72
Suppose 5*p = -2*n + 53 + 132, 0 = 4*n + p - 307. Calculate the remainder when n is divided by 5*-1*(-4)/10.
1
Suppose -3*n + h - 66 = -3*h, 5*n - 3*h = -99. Let v = n - -43. Suppose 0 = 2*c - 37 + v. What is the remainder when 23 is divided by c?
5
Let s(z) = z**2 - z - 9. Let x be (2/5)/(1/10). Let p be s(x). Suppose p*n + n = 16. Calculate the remainder when 9 is divided by n.
1
Let t = 94 + -114. Suppose -13*q = -20*q + 511. What is the remainder when q is divided by t*39/(-42) + (-15)/(-35)?
16
Suppose 0 = 2*t - 4*t + 2*y - 2, 2*t = -3*y - 2. Calculate the remainder when 5*((-16)/(-5))/(t/(-5)) is divided by 21.
17
Let h be (-2)/(-8) - (-805)/28. Let f = -24 + h. What is the remainder when 28/4*f - 3 is divided by 11?
10
Suppose 0 = -12*n - 961 - 1415. Let h = 216 + n. Calculate the remainder when 105 is divided by h.
15
Let z be ((-81)/(-6))/((-1)/(-2)). Calculate the remainder when (26/3)/(6/z) is divided by (-5735)/(-279) + (-8)/(-18).
18
What is the remainder when 28/(-15 + 13) + 4144 is divided by 13?
9
Suppose 0*n + 2*n - 5*r = 101, -n - r = -61. Let m be (3/(-2))/((-87)/9512). Let p = m - 144. Calculate the remainder when n is divided by p.
18
What is the remainder when ((-99022)/231)/((-2)/3) - -6 is divided by 75?
49
Let y(x) = -8*x + 163. Let z(t) = -17*t + 323. Let p(w) = 9*y(w) - 4*z(w). What is the remainder when 59 is divided by p(35)?
24
Let p(v) = 3*v**2 - 3*v + 2. Let f be (-402)/(-15) + 1/5. Let w(r) = -r**3 + 28*r**2 - 24*r - 69. What is the remainder when w(f) is divided by p(2)?
4
Suppose 3*n = -0*n - 48*n + 1326. What is the remainder when 198 is divided by n?
16
Suppose -r = 0, 4*v - 3*r = 2*v + 10. Suppose -2*z = 4*x - 106, -v*x - 64 = -5*z + 201. Let l = z - 28. What is the remainder when 99 is divided by l?
24
Let h(b) = -b**3 + 21*b**2 + 112*b - 29. Calculate the remainder when 544 is divided by h(25).
2
Suppose 0 = 9*n + 15 - 519. Suppose -n = 3*s - 95. Calculate the remainder when 178 is divided by s.
9
Let o(w) = 3*w**2 + 7*w + 5. What is the remainder when o(-5) is divided by (17 - -1) + (-286)/104*4?
3
Suppose 336 = -24*v + 1104. What is the remainder when 4190 is divided by v?
30
Let h(g) = -32*g + 674. What is the remainder when h(-10) is divided by 990?
4
Let a = -7198 - -7314. What is the remainder when a is divided by 14?
4
Let h(v) be the first derivative of -v**4/4 + 8*v**3/3 - 3*v**2 - 5*v - 93. Let r(o) = -o**2 + 8*o - 9. What is the remainder when r(6) is divided by h(7)?
1
Suppose 6*o - 249 + 207 = 0. Suppose 0 = -o*h + 13*h - 24. What is the remainder when 153 is divided by h?
1
Suppose 2*w + 10 = 0, 6*a - a + 3*w - 345 = 0. Let y be 2/2*(5 + -4)*39. Suppose -k + y = 14. Calculate the remainder when a is divided by k.
22
Suppose 5*c + 40*c - 3240 = 0. Calculate the remainder when 105 is divided by c.
33
Let q(f) = 84*f + 8184. What is the remainder when 623 is divided by q(-94)?
47
Suppose 330*f = 328*f + w + 134, -5*f + 313 = 3*w. Calculate the remainder when f is divided by 232/38 - (-4)/(-38).
5
Suppose 1634 = 148*t - 2214. Calculate the remainder when 67 is divided by t.
15
Suppose -5*z + 4*w = -636, 3*w = -0*w + 3. Let n = 144 - z. What is the remainder when 59 is divided by n?
11
Let s(o) = 18*o**2 + 9*o - 37. Let h be s(4). Suppose 183*f + h = 190*f. What is the remainder when 103 is divided by f?
21
Let q(n) = 14*n**2 - 714*n - 11017. Calculate the remainder when q(-15) is divided by 37.
31
Let h(v) = -3*v + 16. Let i be h(5). Let x be i*155 + (2 - 1)*0. Calculate the remainder when x/3 - (-12)/36 is divided by 15.
7
Let a(u) be the first derivative of u**4/4 - 16*u**3/3 + 19*u**2 - 13*u - 2. Let y be a(15). Let n = y - 179. What is the remainder when n is divided by 39?
36
Suppose 0 = 2*t + 3*u - 86, 47 + 141 = 4*t - 2*u. Suppose 2*i - 3*i = -t. Let k = -376 + 383. What is the remainder when i is divided by k?
4
Suppose -164*x = -160*x - 20. What is the remainder when 4367/55 - ((-2)/x)/(-1) is divided by 27?
25
Suppose -5*r + 2*r + 12 = 0. Suppose -52 = -x + 4*a, -r*x + 6*x = a + 69. Let v = 60 - 43. What is the remainder when x is divided by v?
15
Let v(b) = b**3 - 14*b**2 + 140*b - 106. Calculate the remainder when v(10) is divided by 65.
49
Let d = -22141 - -22196. What is the remainder when 2579 is divided by d?
49
Let t = -285 - -303. Calculate the remainder when t is divided by (34/7 - 3) + 2/14.
0
Suppose 3*y = 191 - 200. Let q(a) = 12*a + 58. What is the remainder when 282 is divided by q(y)?
18
Let g(h) = 8*h + 9. Let m be g(7). Suppose -m*j + 75*j = 690. Let c(f) = -f**3 + 6*f**2 + 2*f + 2. What is the remainder when j is divided by c(6)?
13
Suppose 39*t - 4358 = 283. Let n(v) = -31*v - 1. Calculate the remainder when t is divided by n(-1).
29
Let i = 1083 + -788. What is the remainder when i is divided by 50?
45
Let r be (-7 - -1)*554/4. Suppose 486 = -2*j - 52*j. What is the remainder when r/j - (-35)/21 is divided by 24?
22
Let m(x) = -4*x**2 + 20*x - 2. Let n be m(4). Suppose -53 = -n*q + 157. Suppose p = 2*z + 17, 4*p - 35 = p + 2*z. What is the remainder when q is divided by p?
6
Let l(i) = -71*i - 788. Let u(a) = 23*a + 263. Let z(c) = 3*l(c) + 8*u(c). What is the remainder when z(-15) is divided by 31?
20
Suppose -2*o = 5*r - 14, -2*r + 24 - 16 = o. Suppose -2*q - 5*d + 24 = -11, q + 15 = 4*d. What is the remainder when o is divided by q?
2
Suppose 20*h + 685 = 4365. Let s = h + 8. What is the remainder when s is divided by 28?
24
Calculate the remainder when 1399 is divided by (174/9 + -18)*(-2)/(-4)*57.
31
Suppose 0 = -5*y + y + 80. What is the remainder when 25/5*(896/70 + -5) is divided by y?
19
Suppose 418 = c + 5*b, -4*c + 412 + 1328 = 3*b. Let q = c + -391. What is the remainder when 610 is divided by q?
46
Suppose -3*o + 14 = 4*n, 5*n - 4*o = -0*o + 2. Suppose -5*w = -6*f + n*f + 406, 0 = -5*f - w + 522. What is the remainder when f is divided by 18?
14
Let u = 405 - 375. What is the remainder when 3 + (2 - 5 - -203) is divided by u?
23
Let g be (-2651)/(-44) + (-1)/4. Calculate the remainder when (500/g)/((-1)/(-6)) is divided by 11.
6
Let x(i) = -i**2 + 12*i - 18. Suppose 34*m - 9 = 33*m. Let p be x(m). Let w = p + 31. What is the remainder when w is divided by 21?
19
Suppose 48*x - 51*x = -3*u - 99, 0 = 5*x + 5*u - 65. Let j(a) = 45*a + 3. What is the remainder when j(6) is divided by x?
20
Let c(v) = -20*v - 92. Let u be (-6)/8 - (-3 + 264/32). What is the remainder when 359 is divided by c(u)?
23
Suppose -3*b = -p - 162 + 24, 5*b + 3*p = 230. Suppose 5*g - 258 = 4*n - b, 2*g = 2*n + 84. What is the remainder when g is divided by 26?
18
Suppose 5*g = -3*n + 411, -5*n = g - 558 - 105. Calculate the remainder when 806 is divided by n.
14
Suppose 0