10. Suppose -5*d + a = 5*p - 18, -5*p = -4*d - 191. Calculate the remainder when p is divided by 16.
3
Let u(n) = -n + 85. Let q be u(30). Suppose -9*x = 1 - q. What is the remainder when -5*((-24)/10 + -2) is divided by x?
4
Let r(k) = k**3 - 8*k**2 + 14*k - 19. Let t be -1*3/9*0. Suppose t*u + 594 = 5*f + u, -3*f + 338 = -4*u. Calculate the remainder when f is divided by r(7).
28
Suppose 19*o = 72 + 75 + 936. Let q(p) = -4*p - 2. What is the remainder when o is divided by q(-3)?
7
Suppose -265 + 986 = 36*m - 143. Suppose 6*g = 4*g - 3*s + 21, 0 = 3*g - s - 4. Calculate the remainder when m is divided by g.
0
Let k be ((-1)/2*-6)/1. Suppose 5*j - 165 = -40. What is the remainder when k/21 + (-2247)/(-49) is divided by j?
21
Suppose 0 = 3*y - 2*k - 127858, 5*y = 33*k + 213909 - 575. What is the remainder when y is divided by 14?
12
Let w(t) = t + 5. Let x be w(-5). Suppose -4*h = -j + 46, 4*h = -x*j - 5*j + 230. What is the remainder when (-55)/((-110)/(-399))*(-2)/3 is divided by j?
41
Let h(k) = 11*k**2 + 490*k - 406. Calculate the remainder when h(-46) is divided by 329.
1
Let l = 371 + -337. Calculate the remainder when (((-2)/(-1))/(-6))/((-12)/2412) is divided by l.
33
Let p(g) = -g**2 - 14*g - 46. Let y be p(-8). What is the remainder when 492 - ((-2)/y - 1) is divided by 15?
14
Suppose -115 = d - 6*d. Suppose d = -7*z + 289. Let q = 176 - 162. Calculate the remainder when z is divided by q.
10
Suppose o = 5*n - 11, -o + 2*o = n + 5. Let p(z) be the first derivative of 11*z**2 - 55*z + 19. Calculate the remainder when p(4) is divided by o.
6
Let y = 968 + -536. Suppose -1462 + y = -10*s. Let r = -68 + s. Calculate the remainder when r is divided by 15.
5
What is the remainder when 113 is divided by (6/(-45)*(-1920)/12)/((-10)/(-15))?
17
Let l(t) = -8*t - 132. Let w(q) = q + 4. Let r(u) = -l(u) - 5*w(u). What is the remainder when 31 is divided by r(-34)?
1
Suppose -4*f + 3*l = -94 - 117, -5*f + 262 = -2*l. Suppose 4*w + 180 = 10*w. Calculate the remainder when f is divided by w.
22
Calculate the remainder when 12 + 9 + 16165 - -11 is divided by 182.
181
Let i(h) = -h**3 + 34*h**2 + 42*h - 46. Suppose 0 = -7*c - 132 + 377. Calculate the remainder when i(c) is divided by 67.
65
Calculate the remainder when (5*(-6270)/200)/(9/(-24)) is divided by 15.
13
Let b(w) = -49*w + 50. Let f(s) = 50*s - 50. Let d(q) = 4*b(q) + 3*f(q). What is the remainder when d(-4) is divided by 17?
13
Let l = -303 + 323. Let x(b) = -2*b + 151. What is the remainder when x(l) is divided by 30?
21
Let z(l) = 2*l**2 - 334*l + 2887. Calculate the remainder when 269 is divided by z(9).
11
Let u(a) = a**2 - 330*a + 11605. What is the remainder when 6916 is divided by u(40)?
1
Let g = 1045 - 1000. Suppose 4*u - 16 = -0*u. Suppose -4*q - 356 = -2*f, -f - u*q + 890 = 4*f. Calculate the remainder when f is divided by g.
43
Let x(a) = -22*a**3 + 23*a**3 + 26 + 22*a**2 - 4*a**2 - 20*a. What is the remainder when 131 is divided by x(-19)?
41
Suppose 2*c + 5*w = 69, 110*c + 2*w = 113*c - 113. What is the remainder when 1106 is divided by c?
33
Suppose -4*i = 28, 69*i = 5*a + 71*i - 871. What is the remainder when 4601 is divided by a?
176
Suppose -10*p - 14*p - 5*p = -6438. Calculate the remainder when 409 is divided by p.
187
Suppose p = -4*h + h + 5, 0 = -3*h + 2*p + 17. Suppose -z + h*z = -0*z. Suppose -3*y + 6*y - 6 = z. Calculate the remainder when 3 is divided by y.
1
Let m(x) = -6*x**2 - 3*x - 10. Let u be m(7). Let h = -246 - u. Calculate the remainder when h is divided by 40.
39
Let h be (-106)/(-22) + (-18)/(-99). Suppose 7*d = -h + 19. Suppose -d*k + 0*k + 5*o + 99 = 0, 3*k - 141 = 5*o. What is the remainder when 165 is divided by k?
39
Let h(c) = -c**2 + 7*c - 1. Suppose 8*j - 6*j = -6*j. Suppose 2*x + 5*a - 50 + 15 = j, 2*x + 4*a - 30 = 0. Calculate the remainder when 20 is divided by h(x).
2
Suppose 16 = -44*x + 46*x, -4*h + 2424 = x. Calculate the remainder when h is divided by 191.
31
Suppose 0 = 3*k + 4*o - 50, 20*k - 25 = 17*k + o. Let s(r) = r**2 + 26*r + 73. What is the remainder when k is divided by s(-23)?
2
Let g = -27 + -392. Let d = -134 - g. What is the remainder when d is divided by 59?
49
Suppose -64*m - 89*m = 74*m - 2043. Suppose -240 = -7*x + 3*x. What is the remainder when x is divided by m?
6
Let a = -1000493 - -1000507. Calculate the remainder when a is divided by ((-14)/4 - -1)*-2.
4
Suppose -8*r = -14*r + 192. Let a = -1572 - -1730. What is the remainder when a is divided by r?
30
Let g = -160 + 169. Let t(c) = c**2 + c - 10. Calculate the remainder when t(g) is divided by 22.
14
Let s be (-25 - -2 - 1)/(-1). Suppose -2*p = -0 - s. Suppose -94 = 10*u - p*u. Calculate the remainder when u is divided by 12.
11
Calculate the remainder when (-22 + (-20 - -34))*-116 is divided by 87.
58
Suppose -4*m - 3*f + 401 = 0, 146*f - 144*f + 322 = 3*m. What is the remainder when 3325 is divided by m?
101
Let u be 16*2*((-925)/10)/(-5). Let d = u - 514. Calculate the remainder when d is divided by 38.
2
Calculate the remainder when 87 is divided by 5/((-20)/(-84)) - -1.
21
Suppose -4*x = 3*q - 1234, 576 = 2*q + 4*x - 256. Calculate the remainder when q is divided by 134.
0
Let o(h) = -h**2 - 208*h - 7525. Suppose -16 - 15 = -f. Calculate the remainder when o(-161) is divided by f.
11
Let t(o) = -o**3 - 4*o**2 + 11. Let s be t(-3). Calculate the remainder when 21 - (s + -2 + 0/(-3)) is divided by 3.
0
Let m = -356 - -360. Suppose 1597 = m*c + 233. Calculate the remainder when c is divided by 49.
47
Let x(c) = -c**2 - 21*c - 73. Calculate the remainder when 456 is divided by x(-11).
12
Let y(r) = -r - 5. Let u be y(-6). Let m(h) = 10*h + 1. Let b = 177 + -58. What is the remainder when b is divided by m(u)?
9
Let r(b) = -b**2 - 27*b + 1653. What is the remainder when 1314 is divided by r(24)?
27
Let k be ((-64)/12 - -6) + (-20)/(-6). Suppose 3*o + 41 + 85 = 0. Calculate the remainder when 82 is divided by (-2)/(k/o) + -4.
14
Let c = -1173 - -1393. Calculate the remainder when 11879 is divided by c.
219
Let p = 213 + -55. Let f = -130 + p. What is the remainder when f is divided by 16?
12
Suppose 2*h + h = 4*l + 1464, -3*h - 4*l + 1416 = 0. What is the remainder when h is divided by 22?
18
Suppose -1684 = -5*u + s, -1028 = 9*u - 12*u + 5*s. Let n be (-14)/(-6) - 2/6. Calculate the remainder when n/10 + 0 + u/20 is divided by 9.
8
Suppose -6*o - 1050 = -1164. Let f(d) = 3*d**2 - 45*d + 99. What is the remainder when f(o) is divided by 47?
45
Let k(n) = -4*n**3 + 2*n**2 - 2. Let c be k(-1). Suppose -5 = f - 10*w + 5*w, -f + c*w = 3. What is the remainder when 10 is divided by (f - 2)*(2 + -1)?
1
Let i be (-2 - -791) + (-95)/(-19). Suppose -5*u + z + i = 0, -u + 166 = -2*z - 0*z. Calculate the remainder when u is divided by 33.
26
Let t(a) = 47 + a**2 + 64*a - 142*a - 2*a**2 + 72*a. Suppose 0*m = -m + 11. Calculate the remainder when m is divided by t(-10).
4
Let b = -44 + 63. Suppose -21*i + 41 = -106. Suppose i*w - 246 - 125 = 0. Calculate the remainder when w is divided by b.
15
Suppose -2*t + 5*u - 7 = -3*t, 0 = -t + 2*u + 7. Let c = -23 - -18. Let h(j) = j**2 + j - 3. Calculate the remainder when h(c) is divided by t.
3
Let s(b) be the third derivative of -b**4/12 - b**3/3 + 88*b**2. What is the remainder when 40 is divided by s(-4)?
4
Suppose 179*p - 305 = 53. Calculate the remainder when 7 is divided by p.
1
Suppose 5*q = 102 + 948. Let c = -169 - -189. Calculate the remainder when c is divided by (18/5)/(63/q).
8
Suppose 5*x - 76 = -2*s - 0, 2 = -x. What is the remainder when 463 is divided by s?
33
Suppose 4*x + 674 = 2*s, -s - x + 115 = -243. What is the remainder when s is divided by 104?
39
Calculate the remainder when 19/((-171)/(-1213)) - ((-4)/(-9))/(-2) is divided by 45.
0
Suppose -45 = -2*q - 3*j - 4, 60 = 3*q + 5*j. Suppose -30 = -q*g + 220. What is the remainder when 47 is divided by g?
7
Let n be ((198/(-21))/(-11))/((-6)/(-28)). Suppose n*i - 2*i - 22 = -h, 4*i = -3*h + 42. What is the remainder when 25 is divided by i?
1
Let v(s) = -s**3 + 11*s**2 - 22*s. What is the remainder when 5398 is divided by v(5)?
38
Let i = 4826 - 4767. Let r(d) = d**3 - 7*d**2 + 8*d + 5. What is the remainder when i is divided by r(6)?
8
Let c be (858/65)/(4/