a. What is the remainder when p is divided by k(-1)?
10
Suppose d = -5*r + 220 + 9, 0 = 4*r - 2*d - 186. Suppose -4*a + r = -5*v, -5*v + 0 - 10 = 0. Calculate the remainder when a is divided by 4.
1
Let z(x) = 0*x - 5 + 0*x - 8 + 7*x**2. Let f be z(-6). Suppose 14 = -5*c + f. Calculate the remainder when c is divided by 12.
9
Suppose 3*z = 16*z + 26. Let k be (44/(-8) - z)*-6. Suppose k = 4*q - 223. Calculate the remainder when q is divided by 16.
13
What is the remainder when 2/36 + 5557898/1908 is divided by 23?
15
Suppose -4*a = -0*a + 28. Let n(o) = -6*o - 8. What is the remainder when 106 is divided by n(a)?
4
What is the remainder when 65 is divided by ((-16)/6)/(70*1/36 + -2)?
17
Suppose -8*t - 80 + 18560 = 0. Suppose -19*b = 16*b - t. Calculate the remainder when b is divided by (-222)/(-9) - (-2)/6.
16
Suppose -45*s = -62*s - 2176. Let q = s + 159. What is the remainder when 128 is divided by q?
4
Suppose 0 = t + 3*m - 76, -4*t + 12*m + 319 = 9*m. Calculate the remainder when 262 is divided by t.
25
Suppose 3*o + 84 = 9*o. Let s = o + -17. What is the remainder when 100 is divided by (-1)/((-2)/108) + s?
49
Let q = -3130 - -12308. What is the remainder when q is divided by 18?
16
Let y(h) = 11*h**3 - h**2 + h - 2. Let c be y(-2). Let n = -60 - c. Calculate the remainder when n is divided by 8.
4
Let t = 181 + 143. Suppose t = 2*l + 4*l. Suppose -13*h + 10*h + l = 0. What is the remainder when 50 is divided by h?
14
What is the remainder when 769 is divided by (-138)/(-621) - (-20325)/27?
16
Suppose 0 = 2*h + 6*h - 56. Suppose -h*q = 6*q. Suppose q*j - 5*j = -70. Calculate the remainder when 55 is divided by j.
13
Let q = 7044 + -6447. What is the remainder when q is divided by 116?
17
Let o(z) = 4*z + 47. Let k be ((-1 + -39)/(-8))/(-1 + 0). What is the remainder when 293 is divided by o(k)?
23
Suppose -g + 11*k - 13 = 15*k, -5*k = 3*g + 11. Suppose 70 = 4*p - 5*v, 3*p + 2*p - g*v = 81. What is the remainder when 101 is divided by p?
11
Suppose -307*f = -99*f - 6032. What is the remainder when 6434 is divided by f?
25
Let s be (2518 - -40)/(1 + 0). Suppose -17*j + 7233 = s. Calculate the remainder when j is divided by 31.
27
Let i(d) = -d**3 + 19*d**2 - 8*d + 89. Calculate the remainder when i(16) is divided by 23.
16
Suppose 8*s = 33*s + 50. Calculate the remainder when s - 1099/(-28) - 1/4 is divided by 21.
16
What is the remainder when 586 is divided by -3*22*(-4 - 66/(-18))?
14
Let k(g) = -5*g**2 + 6*g + 1. Let d be k(2). Let c = 5 + 82. Calculate the remainder when c is divided by ((-3)/4)/(d/168).
15
Let d(i) = 131*i**2 - 7*i - 24. What is the remainder when 1564 is divided by d(-2)?
22
Suppose 1 = o - 2, -a - 2 = -2*o. Suppose -2*p - a*p + 330 = 0. Suppose -x - p = -3*c, -c - 2*x + 8 = -15. Calculate the remainder when c is divided by 4.
3
Suppose -115 + 6 = -d + 2*t, t = -4*d + 472. Suppose d*b = 119*b - 150. Calculate the remainder when b is divided by 6.
3
Let n(x) = -2*x**2 - 98*x - 289. What is the remainder when 925 is divided by n(-43)?
17
Suppose -t = -5*t + 12. Suppose -7*b + t*b = -204. Let p = b - 12. Calculate the remainder when p is divided by 23.
16
Suppose -123010*i + 2272 = -122994*i. Suppose 5*h = t - 28, 4*t = -2*h + 82 - 14. Calculate the remainder when i is divided by t.
16
Suppose -26*d + 963 + 2807 = 0. What is the remainder when 1156 is divided by d?
141
Let k be ((-104)/65)/(1/(-50)). Let m = -69 + k. Calculate the remainder when 50 is divided by m.
6
Suppose 3*q - 4*w + 93 = 0, 5*q - 2*w = q - 124. Let i = 13 - q. What is the remainder when i is divided by 23?
21
Suppose -25*i = -30*i + 300. Suppose -12*m + 16*m = i. What is the remainder when 146 is divided by m?
11
Let k = -47 + 50. Suppose -247 = 5*p - k*i, -5*p + 2*i - 202 - 41 = 0. Let v = p - -104. What is the remainder when v is divided by 29?
28
Suppose 2*h = 3*h - 27. Suppose -3*g - 4*u - 324 = 0, -4*u = 4*g - 7*u + 457. Calculate the remainder when h is divided by (g/(-12) - -4)*(-24)/(-20).
11
Let v = -15 + 27. Suppose -136 = -v*i + 248. Calculate the remainder when i is divided by 15.
2
Let h be ((-22)/(-4))/((-6)/228). Let r = h + 289. What is the remainder when 398 is divided by r?
78
Let d be 268/(-6)*(-9 + (-120)/16). Suppose 2*v = -9*v + d. Let n(t) = 3*t**2 + 3*t - 2. Calculate the remainder when v is divided by n(3).
33
Suppose -5*i + 321 = 2*l, 4*l - 874 = 4*i - 162. What is the remainder when 1901 is divided by l?
171
Suppose 0 = 31*s - 921 - 164. Let r(w) = w**3 + 2*w**2 - 2*w - 3. Let l be r(-3). What is the remainder when ((-206)/l)/(1/3) is divided by s?
33
Suppose 191 = 5*h - 414. Suppose 5*w - 3*f = -f + h, -w = 5*f - 35. Suppose 340*y = 331*y + 126. Calculate the remainder when w is divided by y.
11
Suppose 38*w + 18*w = 728. Suppose 2*d + 3 = k, 0 = -4*k + k + 4*d + 15. Calculate the remainder when (-2)/(-6) - (-555)/k is divided by w.
10
Suppose 2*l = -2*k - 298, 0 = -3*l + 6*l - 4*k + 419. What is the remainder when 47 is divided by (-6)/(30/l) - 3?
21
Suppose -36*z = -32*z - 3*o - 207, -50 = -z - o. Suppose -4*s - 7*s + 330 = 0. Calculate the remainder when z is divided by s.
21
Calculate the remainder when 2/9 - 43/((-4644)/19632) is divided by 36.
2
Let j = 136 - 103. Let h = -2 + 21. What is the remainder when j is divided by h?
14
Let j(k) = -k**3 - 12*k**2 - 48*k - 8. Suppose 2*x - 5*m = -8 - 9, 2*m = 3*x + 31. Calculate the remainder when j(x) is divided by 50.
49
Suppose 36 = 48*q - 12. What is the remainder when 1/(2*(-1)/(-46)) is divided by (7 + q)*(-21)/56*-2?
5
Suppose -121 = -8*c - 81. Let q(g) = 2*g**2 + 8*g + 9. What is the remainder when q(-6) is divided by (-1)/((c - -1)/(-102))?
16
Suppose -70 = -18*p + 118 + 64. Calculate the remainder when (-4)/10 - 816/(-15) is divided by p.
12
Suppose 1429*g + 3510 = 1519*g. Let y = 6 - -8. Calculate the remainder when g is divided by y.
11
Let d be (4*3/24)/(2/12). Suppose 270 - 101 = 4*j - d*v, 84 = 2*j - 2*v. What is the remainder when j is divided by 15?
13
Let d(z) = 3*z**3 - 13*z**2 + 2*z**3 + 30*z - 6*z**3. Let n be d(-15). Suppose -2*m + 9 + 5 = n. What is the remainder when 24 is divided by m?
3
Let h(w) be the second derivative of 19*w**3/3 + 121*w**2/2 + 2*w + 38. Calculate the remainder when h(0) is divided by 31.
28
Suppose -176 + 762 = 227*u - 3727. Calculate the remainder when 16927 is divided by u.
17
Let c(o) = 745*o - 6329. Calculate the remainder when 69181 is divided by c(9).
373
Let c = 4279 + -4236. Calculate the remainder when c is divided by 9.
7
Let g = -1061 - -686. Let z = 402 + g. What is the remainder when 67 is divided by z?
13
Let d(i) = -3*i - 239 + 3*i**3 + 3*i**2 + 3*i**3 - 5*i**3 + 244. Calculate the remainder when 169 is divided by d(2).
17
Let a(l) = 139*l - 7. Let w be a(1). Let p = w - 129. Suppose x - 3 + 1 = 0. What is the remainder when p is divided by x?
1
Let t = -9986 - -10245. Calculate the remainder when 1039 is divided by t.
3
Let m be 2/(-8) - 21/(-4). Let j = 4550 + -4535. Suppose -4*b + c = -203, -j + 271 = m*b + c. Calculate the remainder when 101 is divided by b.
50
Let p = 71 + -193. Let a = 234 + p. What is the remainder when a is divided by 24?
16
Let q(b) = 123*b - 318. Let z be q(5). Suppose -17*k = 76 - z. Calculate the remainder when 154 is divided by k.
11
Suppose -150 = -k + 4*b, -4*k + 446 + 205 = b. Let a = k + -65. Calculate the remainder when a is divided by 10.
7
Let d = 6 + -8. Let x(i) = -28*i - 29. Let m(j) = -108*j - 112. Let y(l) = 6*m(l) - 23*x(l). Calculate the remainder when 5 is divided by y(d).
2
Suppose -142*q + 141*q = -22. Calculate the remainder when 2 + (-4)/((-20)/(-415))*-1 is divided by q.
19
Suppose 0 = 11*k + 3*i - 630, 3*k - 9*i = -10*i + 172. Calculate the remainder when 235 is divided by k.
7
Suppose 0 = -4*a - 2*q + 96, 2*a - 38 = a + 3*q. Let p = -116 + 126. Suppose p*k - 604 = 416. What is the remainder when k is divided by a?
24
Suppose 0 = -5*h + 2*g + 50, -2*g - 3*g = 25. Let m = -956 + 1118. Suppose -10*b - h*b = -m. Calculate the remainder when 44 is divided by b.
8
Let j = -14115 - -14138. Calculate the remainder when 372 is divided by j.
4
Suppose 2121 = -118*o + 125*o. Suppose -3*u = y - 179, -2*y + 5*u + o = -0*u. Calculate the remainder when y is divided by 44.