er when (-6 - (2 - 37))*d is divided by 40?
7
Suppose -4*p + c + 32 = 0, -4*p - c + 16 + 24 = 0. Let d(v) = 37*v - 223. What is the remainder when d(p) is divided by 29?
23
What is the remainder when ((46893/(-196))/(6/4))/(1/(-2)) is divided by 10?
9
Suppose 4*v + i - 21 = 0, -4*i + 5 = 1. Suppose -282 = j + v*j. Let h = -30 - j. Calculate the remainder when 32 is divided by h.
15
Suppose -2*a - 437 - 107 = 5*u, 0 = 4*u - 5*a + 422. Calculate the remainder when 85 - (u/(-6))/(-6) is divided by 47.
41
Suppose -3*g + 652 = 16. Suppose 0 = -t + 2*y + 64, -3*t = -y - 0*y - g. What is the remainder when t is divided by 19?
15
Let n = -5 - -7. Let c(q) = q**2 - 4*q + 3. Let l be c(0). Suppose -g - l*z - n*z = -5, -6 = 3*z. What is the remainder when 27 is divided by g?
12
Let k be (-2 + 3)/(3/((-117)/3)). What is the remainder when 19 is divided by (-77)/231 - 2/6*k?
3
Let c(m) be the second derivative of m**5/20 + 3*m**4/4 - 8*m**3/3 + 13*m**2/2 - 41*m. What is the remainder when c(-9) is divided by 10?
7
Let t(m) = -6*m**3 - 3*m**2 - 3. Suppose -2*d = 2*l - 38, 4*l = -l + 5. Let q be 4/((-9)/(d/4)). What is the remainder when t(q) is divided by 7?
5
Let l be (-30)/(-25)*(-300)/(-18). What is the remainder when 268 is divided by 12/l + (-2 - 142/(-5))?
25
Let o(t) = 13*t**3 + 185*t**2 + 22*t - 1. Calculate the remainder when o(-14) is divided by (-5 + 2)/(9/(-30)).
9
What is the remainder when ((-19710)/(-108))/((-4)/(96/(-10))) is divided by 144?
6
Suppose 3*b - 5*o - 505 = 0, -4*b + 166 = -3*b - 4*o. Suppose -104 = 4*q + a - 346, 0 = 2*q + a - 124. What is the remainder when b is divided by q?
52
Let o(i) = -i**3 + 13*i**2 + 3*i - 19. Let q(y) = 9*y + 5. Let s be q(-1). Let m be (2/(-3))/(s/78). Calculate the remainder when 39 is divided by o(m).
19
Suppose 0 = 23*z - 24*z + 2*x + 1024, -4*z + 3*x = -4131. What is the remainder when z is divided by 74?
2
Suppose 9*c - 25 = -7. Let w(g) = g**3 - 15*g**2 + 15*g. Let m be w(14). Suppose -m*r + 120 = -6*r. What is the remainder when r is divided by c?
1
Let l = -338 - -341. Let z(q) = 27*q - 10. Let m(a) = a - 1. Let x(j) = -6*m(j) + z(j). What is the remainder when x(l) is divided by 20?
19
Suppose -a + 7 = 6. Suppose -2*g = -5*w + 70, -w + 5*g - a = 8. Calculate the remainder when 77 is divided by w.
13
Suppose 2*w = -2*x - 6, 2*x - 24 = -3*w + 7*w. Suppose i = x*y - 38, 0 = 3*i - i - 2*y + 70. Let t = -13 - i. What is the remainder when t is divided by 5?
4
Let l(a) = -23*a - 17. Let d(f) = -3*f + 3*f - 6 - 6*f - 2*f. Let u(r) = 7*d(r) - 2*l(r). Calculate the remainder when u(-4) is divided by 17.
15
Suppose 0 = -5*v - v + 12. Let i(h) = v*h + 2 + 37*h**2 + 89*h**2 - 13*h**2. Calculate the remainder when i(-1) is divided by 38.
37
Let h = 38 + -22. Calculate the remainder when 214/14 - h/56 is divided by 4.
3
Let v(t) = -5*t**3 - 57*t**2 - 41*t + 18. Let i = 11 + -1. Calculate the remainder when v(-11) is divided by i.
7
Let k = -1351 - -2149. Suppose -4*i + 25*i - k = 0. What is the remainder when i is divided by 30?
8
Let f = 1360 + -285. Let z = f - 600. Suppose 6*c - z = c. Calculate the remainder when c is divided by 25.
20
Let n = -459 + 463. Calculate the remainder when 96 - (7 - n)/3 is divided by 49.
46
Let i = 72 - 60. Suppose 8*q - 2*q - i = 0. Suppose -3*f = w - 24, 5*w - 44 = q*w + 5*f. Calculate the remainder when 29 is divided by w.
11
Suppose 2*i = 2 + 2. Let g(d) = d + 6. What is the remainder when (-95)/(-8) - 9/(-72) is divided by g(i)?
4
Let l = -1291 + 1729. What is the remainder when l is divided by 21?
18
Let p(k) = -104*k**2 + 2*k + 5. Let r be p(-2). Let y = r - -457. What is the remainder when y is divided by 33?
9
Suppose -6*d - 80 = -368. Suppose 0 = -4*a + d + 36. Let m = -2 - -64. What is the remainder when m is divided by a?
20
Suppose -4*w = -5*g - 1195, 4*w - 8*g + 6*g = 1186. Calculate the remainder when w is divided by 97.
4
Let m = -2 - -10. What is the remainder when (-4700)/(-140) - (-468)/(-182) is divided by m?
7
Suppose -2*a + 2*t = 4, 8*a - 3*t = 6*a - 5. What is the remainder when (84/(-35))/(a - 103/(-105)) is divided by 22?
16
Suppose -24 = -3*s - 36. Let f = 18 + -17. Calculate the remainder when (9/s + 4)/(f/4) is divided by 5.
2
Let l(g) = -21*g + 283. Let n be l(14). Let v(p) = -p**2 - 2. Let c be v(2). What is the remainder when 317/11 - (c + (-64)/n) is divided by 11?
7
Let r(b) = -12*b**3 - 174*b**2 - 9*b - 7. Calculate the remainder when r(-17) is divided by 20.
16
Suppose s = -4*z + 6*s + 456, 2*z + 4*s - 228 = 0. Suppose 0 = 23*l - 17*l - z. Calculate the remainder when l is divided by 14.
5
Let b(q) = 2066*q - 12119. What is the remainder when b(6) is divided by 1/((-318)/80 + 4)?
37
Let b = -10305 + 10673. What is the remainder when b is divided by 45?
8
Suppose -20 = 2*p - 3*o - 307, 5*o = -25. Suppose -2*z + 58 = -3*r, 4*r - 7*r - p = -5*z. What is the remainder when z is divided by (3/30*-4)/(5/200*-4)?
2
Suppose -4*w - 44 + 84 = 0. Let v(f) = 9*f - 32. What is the remainder when 229 is divided by v(w)?
55
Let c(v) = 2*v**2 + 17*v + 2. Let t be c(-8). What is the remainder when 141 + ((-2)/t)/((-6)/36) is divided by 39?
22
Suppose 16*n + 1040 = 11*n. Let h = 49 - n. Calculate the remainder when h is divided by 20.
17
Let h(b) = -2*b**3 - 11*b**2 - 15*b + 8. Calculate the remainder when h(-5) is divided by 16.
10
Suppose 0 = -118*b + 116*b + 5*s + 11, -5*b = 3*s - 43. Calculate the remainder when 124 is divided by b.
4
Let l = -35 + 39. Suppose s + 4*t - 150 = 0, 3*s - l*t + 308 = 5*s. Let m(o) = -20*o - 204. What is the remainder when s is divided by m(-11)?
14
Calculate the remainder when 317 is divided by (-10672)/(-36) - ((-131)/9 + 15).
21
What is the remainder when 7 - -1606*(-5)/(-10) is divided by 29?
27
Let p be 4/2 - (3 + -5 + 1). Suppose -3*f - p*f + 240 = 0. What is the remainder when 64 is divided by (-66)/(6*(f/(-12) - -3))?
31
Let m(x) = -75*x + 3664. Calculate the remainder when m(45) is divided by 140.
9
Let l(n) = 28*n + 7. Suppose 4*t + 10 = 18. Let q be l(t). Let b = q + -60. Calculate the remainder when 16 is divided by b.
1
Let p(m) = -144*m**2 - 600*m - 1. What is the remainder when 2207 is divided by p(-4)?
22
Let n(i) = -5*i + 3. Let h be n(-6). Suppose 0 = 2*v + y - 121, 2*v + 2*y - h = 91. Calculate the remainder when v is divided by 20*(-18)/(-24) + 5.
19
Let s(v) = v**3 + 8*v**2 + 10*v + 25. Let p = 310 + -316. Calculate the remainder when 183 is divided by s(p).
35
Suppose 0 = 6*b - 9*b + 2*w + 12, -3*w - 5 = 2*b. Let q(m) = -m**2 - 27*m + 30. Calculate the remainder when b is divided by q(-28).
0
Let p(a) = -2*a**2 - 21*a + 8. Let i(u) = u**2 + 12*u - 4. Let z(w) = -5*i(w) - 2*p(w). What is the remainder when z(-15) is divided by -4*5/(-2)*1?
9
Let i = 216 - 211. Suppose -i*l + 21 = -2*t - 34, 2*t + 19 = l. What is the remainder when l is divided by 6?
3
Let a = 19954 - 3071. Calculate the remainder when a is divided by 134.
133
Suppose 16*v + 2840 = 2*o + 13*v, 5*o + 2*v - 7157 = 0. Calculate the remainder when o is divided by 708.
13
Let v be (-5 - 2) + 4 - -393. What is the remainder when 243/4 + 81/324 is divided by v/24 - 2/8?
13
Let m(c) = -2*c**3 + 2*c**2 - 6*c - 3. Calculate the remainder when m(-6) is divided by 11.
9
Let m = -64 + 148. Let l = m + -80. Let s(d) = 2*d. What is the remainder when s(5) is divided by l?
2
Suppose 2*w = -4*o + 4614, 4107 = 5*w - o - 7439. What is the remainder when w is divided by 58?
47
Suppose 0 = -2*b + b + 5*v - 274, -1230 = 5*b + 3*v. Let d = b + 756. Suppose -7*y + d = 73. What is the remainder when y is divided by 18?
8
Let y(t) = -26*t + 135. What is the remainder when 40 is divided by y(4)?
9
Let u = 630 - 626. Suppose 0 = -2*f + n + 408, 3*f - u*n + 828 = 7*f. What is the remainder when f is divided by 39?
10
Let c = -20112 + 20172. What is the remainder when 297 is divided by c?
57
Let i(n) = 7*n**3 - 5*n**2 + 4*n + 22. Let l(z) = z**3 - z**2 + z. Let f(b) = -i(b) + 6*l(b). What is the remainder when f(-4) is divided by (-4)/2 + -3 + 10?
3
Suppose 0 = -307*z + 6894 + 1734 - 2488. Let y = -29 + 86. Suppose 2*j - 3*j + y = 0. What is the remainder when j is divided by z?
17
Suppose -232*q = -30324 - 116276 + 17376. Calculate the remainder when q is divided