 is the remainder when p is divided by a(16)?
18
Suppose -6*m = -4*m - 72. Suppose 5*w - m = 2*w. Suppose -3*c - 27 = -4*j + 2*c, -2*j + w = -4*c. What is the remainder when 29 is divided by j?
5
Let n(t) be the first derivative of 1/4*t**4 + 4*t - 4 + 1/2*t**2 + 7/3*t**3. Calculate the remainder when n(-6) is divided by 18.
16
Suppose 24*y = 11*y + 6045. Calculate the remainder when y is divided by 52.
49
Suppose -18*x - 6*x + 1128 = 0. Let o(p) = 2*p**2 - p - 3. Suppose 4*y - 18 = -3*q, 2*y = -2*q - q + 12. What is the remainder when x is divided by o(y)?
11
Suppose 39*f = 21*f + 180. What is the remainder when 37 is divided by f?
7
Let b(j) = -33*j - 6. Let i(l) = 11*l + 2. Let h(v) = 4*b(v) + 11*i(v). Suppose -5*r = 5 - 0. What is the remainder when 16 is divided by h(r)?
7
Let v(c) = c**3 + 8*c**2 + 7*c + 10. Let x be v(-8). What is the remainder when x*(-1)/(2 - 1) is divided by 6?
4
Let p(v) = 299*v**2 + v. What is the remainder when p(-1) is divided by 23?
22
Let y be 195 - -8*3/12*-2. Let r = y - 135. What is the remainder when r is divided by 16?
8
Let c = 15 + 38. Calculate the remainder when c is divided by (-6)/4*((-190)/15 + -6).
25
Let b(y) = -y**3 - 5*y**2 - 5*y - 4. Let c be b(-4). Let a(x) = x**3 + 29*x**2 - 171*x - 22. What is the remainder when a(-34) is divided by -2 + 6 + 1 - c?
2
Suppose -7*q + 2*q + 15 = 0. Suppose -3*l - 26 = -5*r, -r + 0*l = q*l - 16. What is the remainder when (-61)/(-3) - 7/21 is divided by r?
6
Let m = 54 - -5. Calculate the remainder when m is divided by 39.
20
Suppose -s - 4*s = -275. What is the remainder when s is divided by (-1 + 7/(-2))*128/216*-3?
7
Suppose -2*q - 1 + 7 = 0. Let l(u) = -14*u - 3. Let g be l(q). Let j = -20 - g. Calculate the remainder when j is divided by 7.
4
Suppose 7*i = -75 + 208. Let z = i + -36. Let p(s) = -3*s - 22. What is the remainder when p(z) is divided by 10?
9
Let r = 25 + -18. Let f = 41 + -35. Let v(o) = 4*o - 21. Calculate the remainder when r is divided by v(f).
1
Let q = 1540 - 1515. What is the remainder when 1022 is divided by q?
22
Suppose 20 + 4 = 4*l. Let u = 19 - l. Let z(c) = -c**2 - 8*c - 7. What is the remainder when u is divided by z(-5)?
5
Let x = -304 + 321. Let c(r) be the second derivative of -r**4/12 - 17*r**3/6 - 3*r**2/2 - 2*r. What is the remainder when c(-10) is divided by x?
16
Let w = -94 - -151. Calculate the remainder when w is divided by 29.
28
Suppose 3*j = 13 + 2, -b = -3*j - 205. What is the remainder when b is divided by 3?
1
What is the remainder when 6 + 7/((-7)/(-38)) is divided by 32?
12
Let k be ((-2)/3)/(6/(-117)). Let j(d) = 2*d - 14. Let w be j(k). Suppose -2*z = -5*z + w. Calculate the remainder when 4 is divided by z.
0
Let s(t) = 86*t**3 + t**2 + t - 1. Let l = 1902 - 1887. Calculate the remainder when s(1) is divided by l.
12
Suppose t - 130 = 4*c, 0 = -4*t - 3*c - 0*c + 425. What is the remainder when t is divided by 58?
52
Let v(k) = -33*k - 2. Suppose 20*s + 2 = 19*s. What is the remainder when v(s) is divided by 33?
31
Let l(g) = 4*g**2 + 2*g + 4. Suppose 5*y + 2*j + j = 21, 3*j = 6. Let h = -1483 - -1499. Calculate the remainder when l(y) is divided by h.
14
Let v(y) = -2*y - 35. Let p be v(-20). Suppose -4*w + q = -31, -q = -p + 4. Calculate the remainder when 37 is divided by w.
5
Let m = 72 - 46. Let h = -19 + 21. Suppose -h*p = -80 - 124. What is the remainder when p is divided by m?
24
Let d = 52 - -18. Let z(m) = m**3 + 6*m**2 - 7*m - 1. Let o be z(-7). Let x(n) = -19*n**3 + 2*n + 1. What is the remainder when d is divided by x(o)?
16
Suppose 695 = -11*c + 2510. What is the remainder when c is divided by 69?
27
Suppose 5*g + 2*w - 482 = 0, -5*g + 475 = -42*w + 37*w. Let f(t) = -7*t - 13. What is the remainder when g is divided by f(-9)?
46
Let j = -121 + 129. Calculate the remainder when 157 is divided by j.
5
Let g be (6/9)/(2/30). Let s = 12 - g. Suppose -s*w = 3*w - 35. What is the remainder when w is divided by 5?
2
Let x = -193 + 58. Let c = x - -265. Suppose 5*u - c = 10. What is the remainder when u is divided by 10?
8
Let j = -2 + 21. Let u(p) = -p**3 - 5*p**2 - 6*p - 5. Let n be u(-4). What is the remainder when j is divided by ((-1)/n)/((-4)/132)?
8
Suppose 14*y - 45 = 13*y. Suppose g = 3*g - 356. What is the remainder when g is divided by y?
43
Suppose 12 = w + 4*q + 7, 0 = -2*w + 3*q + 32. What is the remainder when 80 is divided by w?
2
Suppose x = 3*o - 101, -5*x = 14*o - 16*o + 50. What is the remainder when o is divided by 11?
2
Let d(n) = -n**2 - 9*n + 13. Let l be d(-11). What is the remainder when 41 is divided by ((-66)/(-8))/(l/(-12))?
8
Let f be -4 + -4 + 1 + 2. Let m = 40 - f. Calculate the remainder when m is divided by 13.
6
Let c(o) = 3*o**2 + 2*o + 123. Calculate the remainder when c(-9) is divided by 27.
24
Let i be 3152/(-9) + (376/72 - 5). Let k = -217 - i. What is the remainder when k is divided by 27?
25
Let n(x) = x**3 - 7*x**2 + 8*x - 8. Let l be n(6). Suppose -l*a = -129 - 203. Suppose 3*j - 97 - a = 0. What is the remainder when j is divided by 21?
18
Let k(o) = o**2 + 13*o + 96. What is the remainder when k(-11) is divided by 16?
10
Suppose 8*u - 10 = 7*u. Calculate the remainder when (3/6)/((-6)/(-324)) is divided by u.
7
Suppose 5*s - 4*w + w = 0, 4*s - 2*w = 0. Suppose s = 2*u - 22 + 84. Calculate the remainder when (-1)/(-4) - u/4 is divided by 5.
3
Let l(o) = o**3 + 10*o**2 + o + 13. Let p be l(-10). Suppose k = p*k - 10. Suppose 420 = k*h + 60. What is the remainder when h is divided by 19?
15
Suppose 0 = 5*j - 3*h + 50, 4*j + 3*h = 3*j + 8. Let k(r) = r**2 + 6*r + 18. What is the remainder when k(j) is divided by -1 + 14 + -1 + 2?
11
Let v = 7 + -7. Suppose 0 = 4*g - 4*a + 16, 0 = -4*g - v*g - 4*a. Calculate the remainder when 13 is divided by (3/(-6))/(g/20).
3
Calculate the remainder when 3/1*171548/156 is divided by 44.
43
Let l = 70 - -14. Calculate the remainder when l is divided by 11.
7
Let c(b) = -b**2 + 9*b + 3. Let f be c(9). Suppose f*r + 22 = 4*n, r - 3 = -1. Let v = 36 - n. Calculate the remainder when v is divided by 15.
14
Let u = 293 + -275. Let f = -13 + 20. What is the remainder when u is divided by f?
4
Let c = 18 + -12. Suppose t = c*t - 10. Suppose 0 = 2*d + t*d - 64. What is the remainder when 46 is divided by d?
14
Let b(u) = u**3 - 2*u - 6. Suppose 11 = 2*h + 5. What is the remainder when 27 is divided by b(h)?
12
Let j(d) = -5*d**3 + 7*d**3 - d**3 - 9 + 9*d**2 + 0*d + 12*d. Let r be j(-9). What is the remainder when (-8)/20 + r/(-5) is divided by 13?
10
Let s(f) = 27*f - 1. Suppose -2*a + m - 3 = -4*a, 0 = -4*a - 4*m + 4. Calculate the remainder when s(a) is divided by (-28 + 16 + 4)/(4/(-14)).
25
Suppose 0 = -5*f + 25, -i - 2*f = 3*f - 19. Let b = 0 + i. Calculate the remainder when b/16*-2*68 is divided by 18.
15
Let u(i) = 9*i**2 - 72*i + 8. Calculate the remainder when 157 is divided by u(8).
5
Let m(r) be the second derivative of -r**3/6 + 23*r**2/2 - 38*r. What is the remainder when (-2)/5 - (-92)/5 is divided by m(13)?
8
Suppose -4*m + 68 = 3*l, 0 = -m + l + l + 6. Suppose 3*f = 18 - 84. Calculate the remainder when -1 + 57 - f/(-11) is divided by m.
12
Let j be (1/(-1))/(1/(-23)). Let o = 67 - j. Calculate the remainder when o is divided by 2/(-3)*(-630)/28.
14
Suppose 0 = -h + 1 + 4. Suppose -3*j + 9 = -0*j. What is the remainder when -52*((-44)/(-16) - j) is divided by h?
3
Let x(g) be the second derivative of 11*g**4/12 + g**2/2 - 3*g. Let v be x(1). Let q = 18 - v. What is the remainder when 10 is divided by q?
4
Suppose 0 = -2*l + 40 + 4. Let x(p) = -3*p - 23. Let i(y) = 4*y + 16. Let v be i(-7). What is the remainder when l is divided by x(v)?
9
What is the remainder when (6/(-4))/(3/(-76)) is divided by ((-290)/(-20))/(-29)*(0 - 20)?
8
Suppose 0 = 4*f - 3*f - c - 49, 214 = 4*f + 5*c. Calculate the remainder when f is divided by 19.
13
Let u(j) = 8*j**2 - 10*j - 6. What is the remainder when u(6) is divided by 15?
12
Suppose 3*x = -3*j - 0*x + 42, 4*j - 5*x - 56 = 0. Suppose 11*z + 12 = j*z. Calculate the remainder when z is divided by 2.
0
Let l be (-1 + -4 + 0)*-1. Suppose 0 = -l*m - 0*m + 295. Calculate the remainder when m is divided by 15.
14
Suppose -6 = -6*t + 3*t. Let d(z) = z**3 + z + 23. What is the remainder 