, 2*q + v = -5 + 151. What is the remainder when q is divided by 31?
9
Suppose 0 = 3*x - 2*x + 35. Calculate the remainder when (x/(-10) + -3)/(2/60) is divided by 3.
0
Suppose -81 = -w + 13. Calculate the remainder when w is divided by (35/14)/(12/(3648/40)).
18
Let m(z) = z**2 + 2*z - 7. Let n be m(-5). Let t be (18/n)/(2/8). Let k(l) = -l**2 + 12*l - 6. Calculate the remainder when k(t) is divided by 6.
3
Let r(g) = -10*g + 2. Let m(u) be the first derivative of -u**4/4 + 3*u**3 - 2*u**2 - 25*u - 15. What is the remainder when m(7) is divided by r(-1)?
9
Let k(d) = d**2 + 2*d + 1. Calculate the remainder when (-4)/14 + 240/7 is divided by k(-4).
7
Let m(f) = f**3 - 6*f**2 - 28*f + 34. What is the remainder when m(10) is divided by 53?
48
Let j(a) = -69*a + 2. Let u be j(1). Let w = 99 + u. Calculate the remainder when 127 is divided by w.
31
Let m = -66 - -45. Let g = -15 - m. What is the remainder when 10 is divided by g?
4
Let x(l) = -13*l**2 - 10*l + 6. Let d be x(5). Let j = -622 - d. Calculate the remainder when 57 is divided by 6/51 - j/17.
12
Suppose 2*k - 5*j = 44, 16 = k - 0*j - j. Suppose c + 0*c - 1 = 0, 5*y - k = 3*c. What is the remainder when 9 is divided by y?
0
Let o(d) = -d**3 - 6*d**2 - d + 2. Let u be o(-6). Suppose 0 = 3*r - u - 1. Let g = 565 - 562. Calculate the remainder when g is divided by r.
0
Suppose -3*o - 15 = 0, 5*o = -p + 6*p - 1545. What is the remainder when p is divided by (-4)/(-1 + (-14)/(-18))?
16
Let o(z) be the second derivative of -z**5/20 + 7*z**4/6 + 17*z**3/6 - 8*z**2 - 13*z. What is the remainder when o(15) is divided by 2?
0
Suppose -4*p = -i - 244, -3*p - 111*i + 168 = -108*i. Calculate the remainder when p is divided by 55.
5
Suppose 0 = -4*j - 5*c + 36, 308*j - 303*j - 62 = -2*c. Suppose -3*t + 10*x + 52 = 5*x, 5*t + 4*x = 25. What is the remainder when j is divided by t?
5
Suppose -2*a = -0*a, -4*t + 5*a + 16 = 0. Suppose 2*m - 14 = -t. Suppose m*x = 4*u - 43, -u - 5*x + 2*x = 2. What is the remainder when 27 is divided by u?
6
Let j(w) = -18*w - 5. Let c(p) = -p**3 - p**2 + 2*p - 2. Let a be c(0). Calculate the remainder when j(a) is divided by 13.
5
Let w(z) = z**2 + 6*z - 8. Let p be w(-8). Suppose -5*u = -u - p. Suppose 4*g = -5*y + 48, 11 = -2*g - u*y + 33. What is the remainder when g is divided by 5?
2
Let r(t) = t**3 + 14*t**2 - 16*t + 12. Let o be r(-15). Let p = -16 + o. Calculate the remainder when 31 is divided by p.
9
Suppose -49 = -2*b + s, 2*b + 6*s - s - 67 = 0. Suppose -3*f = f - 5*y - 41, 12 = -2*f - 4*y. Calculate the remainder when b is divided by f.
2
Let l = 116 + -73. Suppose -15 = -2*y + 3*v, -v - 5 = 3*y - y. Let f = y + 11. What is the remainder when l is divided by f?
10
Let l = 16 + -9. What is the remainder when l is divided by (((-4)/(-22))/1)/((-219)/(-4818))?
3
Let l(t) = -t**2 - 10*t - 10. Suppose 5*i = 10*i - 2*d - 26, 5*i - 40 = -5*d. What is the remainder when l(-7) is divided by i?
5
Suppose 4 + 64 = 2*u - 5*r, 29 = u - 5*r. What is the remainder when u is divided by (-17)/(-3) - ((-46)/(-6) + -9)?
4
Let p = -29 - -71. Suppose -p = -3*f + 3*i, f + 3*f = 2*i + 64. What is the remainder when 52 is divided by f?
16
Let y(k) = -7*k**3 + k**2 + k - 3. Let w be y(3). Let d = -114 - w. Let j = 59 - 42. Calculate the remainder when d is divided by j.
15
Let i(p) = -p**2 + 14*p + 43. Calculate the remainder when i(13) is divided by 18.
2
Suppose 19 = -4*y - 1, 3*s + 2*y = 89. Let c = -14 + s. What is the remainder when 74 is divided by c?
17
Let d = -64 - -126. Let u be -5 - -67 - (0 + 0). Suppose -u = -4*o + 2. What is the remainder when d is divided by o?
14
Let n(m) = m**2 + 11*m + 33. What is the remainder when 72 is divided by n(-9)?
12
Let x(d) = d**3 - 122*d + 23. Calculate the remainder when 38 is divided by x(11).
2
Suppose -2*k = -68 + 24. Suppose 17 + k = 3*t + 3*n, -3*t = n - 31. Suppose 56 + 22 = 3*l. Calculate the remainder when l is divided by t.
8
Let b(v) = 2*v**2 - 3*v**2 - 21 - 14 + 18*v + 10. What is the remainder when 29 is divided by b(15)?
9
Suppose v = 4*c - 197 - 55, 302 = 5*c + 2*v. Let n = 19 + 102. Suppose -5*m - 4*k + n = 0, -k + 88 = m + 3*m. What is the remainder when c is divided by m?
20
Let x = -26 - -40. Suppose 4 - x = 5*g. What is the remainder when g/7 - 765/(-7) is divided by 28?
25
Let k(i) = -2*i**2 - 4*i - 2. Let d be k(-7). Let y = 168 + d. Suppose -14 = 2*x - y. What is the remainder when x is divided by 14?
13
Let w = 1 - 3. What is the remainder when (-6 + 11)*(-2)/w*8 is divided by ((-6)/(-12))/((-1)/(-12))?
4
Let u = -452 - -658. Calculate the remainder when u is divided by 104.
102
What is the remainder when 11 is divided by ((-21)/(-9))/(-7)*(-27)/9?
0
Suppose 1176 = -63*u + 13713. Suppose -2*s - 5*t = -100, 0 = 5*s - 3*t - 128 - 60. What is the remainder when u is divided by s?
39
Suppose 4*g + 3*k - 1 = 1, -8 = -2*g - 5*k. What is the remainder when ((-32)/5)/(g/5) is divided by (-36)/20*(0 - 5)?
5
Let o be 48/10 - (80/(-25) + 3). Let d(a) = 4*a + 3. What is the remainder when 157 is divided by d(o)?
19
Let o(t) = 3*t**2 + 14*t + 22. Calculate the remainder when o(6) is divided by 27.
25
Let u be 4/2 - (52 - 24). Let c(r) = 8*r + 2. Let d be c(-6). Let h = u - d. Calculate the remainder when 59 is divided by h.
19
Suppose y = 5*f - y - 82, 2*y = -3*f + 62. Suppose 0 = -4*o - 0*o + 156. Let s = o + -4. Calculate the remainder when s is divided by f.
17
Let u(a) = -a**2 - 31*a - 43. Suppose 5*g = -n + 95, 5*n - 97 = -3*g - g. What is the remainder when u(-27) is divided by g?
11
Suppose -q + 20 = 3*q. Suppose -r - 5 = q*x, -4*r - x + 3 = 4. Suppose r*d - 75 = -d. What is the remainder when d is divided by 19?
18
Suppose -5*t - 4*s = -805, 2*t + 640 = 6*t + 4*s. What is the remainder when t is divided by 42?
39
Let c(t) = t**3 + 9*t**2 + 2*t - 4. Let j be c(-9). Let w = -2 - j. Let u = -16 + w. What is the remainder when u is divided by 2?
0
Let w = -1488 - -1503. Calculate the remainder when 1107 is divided by w.
12
Suppose 1430 - 486 = 4*x. What is the remainder when x is divided by 40?
36
Let n be (-2)/(-10) + (-4)/20. Let f be (n/3)/(0 + 2). Suppose 3*j - 60 = -f*j. What is the remainder when 75 is divided by j?
15
Suppose 10*l = 36 - 216. Let u = l - -35. What is the remainder when 98 is divided by u?
13
Suppose -2*b = -7*b + 25. Suppose b*z - 28 = 4*z. What is the remainder when z is divided by 10?
8
What is the remainder when 528 is divided by 1594/30 + 10/(-75)?
51
Let o = 4636 + -4613. What is the remainder when o is divided by 1 + -2 + 2 - -5?
5
Suppose -4*j + 4*w = -120, -w - 23 + 21 = 0. What is the remainder when j is divided by 10?
8
Suppose -5*m + 0*m - 40 = 0. Let j be 1114/m + (-3)/(-12). Let w = 199 + j. Calculate the remainder when w is divided by 21.
18
Let o(g) = -g + 16. Calculate the remainder when (33/6)/(4*(-1)/(-40)) is divided by o(8).
7
Let w(v) = -461 + 3*v**2 - 5*v + 456 - v**2. What is the remainder when ((-9)/(-6))/(1/50) is divided by w(-2)?
10
Let s = 29 + -28. Let i be (5/15)/s*18. What is the remainder when 178/i + 1/3 is divided by 11?
8
Suppose 19*u = 23*u - 3*o - 124, 2*u - 68 = 3*o. What is the remainder when u is divided by 21?
7
Suppose 5*t - 8 = -2*g, -2*t = -0*t + 4*g - 16. Suppose 0 = -t*d - 2*d + 122. Calculate the remainder when d is divided by 18 + 0 + 0 + (-1 - 1).
13
Suppose -4*p + u + 4*u + 25 = 0, -1 = -p + 3*u. Let n(g) = -4*g + 13. Calculate the remainder when n(-4) is divided by p.
9
Let b(y) = -3*y**3 + 26*y**2 + 11*y. Calculate the remainder when b(9) is divided by 11.
7
Suppose 4*j - 202 = 818. What is the remainder when j is divided by 8?
7
Let l be (-3)/12 - 2/(-8). Suppose l*c = c + 2. Let x(y) = -30*y + 3. What is the remainder when x(c) is divided by 16?
15
Let l = 6 - -10. Let i(a) = 2*a + 45. Calculate the remainder when i(-7) is divided by l.
15
Let u(m) = -m**3 - 7*m**2 + 8*m + 6. Let x be u(-8). Suppose 0 = -3*s + x*s - 54. Let v = s - 5. Calculate the remainder when 50 is divided by v.
11
Let c(j) = -5*j**2 - 1. Let s be c(5). Let k = 179 + s. Let t(p) = p**2 + 7*p - 30. Calculate the remainder when k is divided by t(-11).
11
Let j = 13437 - 13430. Let i = -25 - -39. Calculate the remainder when i is divided by j.
0
Let p = 35 - 24. Suppose l =