lculate the remainder when t(-4) is divided by f(-5).
14
Suppose 6*v - 2*v = 0, 3*v - 140 = 2*a. Let d = 77 + a. Let t(u) = -u**3 + u**2 - u + 3. Calculate the remainder when d is divided by t(0).
1
Suppose -13*l = -l - 528. What is the remainder when l is divided by 17?
10
Let b = 2338 - 2318. What is the remainder when 1057 is divided by b?
17
Let d(y) = 13*y**3 + y**2 - 3*y + 2. Let w be (1/3)/1*(-12)/(-4). Calculate the remainder when d(w) is divided by 7.
6
Let b(a) = 79*a + 15. What is the remainder when b(2) is divided by 58?
57
Let i(y) = y**3 - 11*y**2 + 49*y - 3. Calculate the remainder when i(7) is divided by 52.
40
Let j(b) = 2*b**2 + 547*b - 2761. Suppose 0*u - 4*u + 756 = 0. What is the remainder when u is divided by j(5)?
21
Let r(y) = -3*y + 3 - 1 + 3 - 3. Calculate the remainder when 51 is divided by r(-4).
9
Let j = 50 - 33. Let m(l) = -9*l - 32. What is the remainder when m(-11) is divided by j?
16
Let i(s) = s**3 + 7*s**2 - 7*s. Let g be (-4)/((-12)/15) - 1. What is the remainder when i(-7) is divided by 16 - ((-6)/(-2) - g)?
15
Let k(t) = -t**3 + 14*t**2 - 21*t - 9. Let o be k(12). Suppose 0 = -2*l + 57 + o. Calculate the remainder when l is divided by 13.
3
Let q be -16*((-2)/2 + 2). Let b = q - -79. What is the remainder when b is divided by 11?
8
Suppose -a = -2*g - 139 + 532, -3*g = -a - 592. Calculate the remainder when g is divided by 67.
65
Calculate the remainder when 468 is divided by (0 + (6 - 7))*-67.
66
What is the remainder when ((-1)/(-4))/((-3)/(-4506))*2 is divided by 47?
46
Suppose 68*b - 65*b = 24. Calculate the remainder when 13 is divided by b.
5
Suppose -132*h + 151*h - 798 = 0. Let m be (9/2 - 2)*2. Suppose 4*i + 4*t - 43 = 3*t, m*i - t - 56 = 0. What is the remainder when h is divided by i?
9
Let s = -2 - -3. Suppose -11*y = 19*y - 1530. Calculate the remainder when y is divided by 72/(-2)*s/(-2).
15
Calculate the remainder when 4/28*7*-7*-14 is divided by 50.
48
Suppose 0 = 522*i - 515*i - 168. Suppose 0 = 9*x - 8*x - 70. Calculate the remainder when x is divided by i.
22
Calculate the remainder when 148 is divided by (-64)/(-8 + 0) - -43.
46
Let i = 3 - 10. Let s(h) = h**3 + 8*h**2 + 7*h + 10. Suppose -x + 3 = -0, -5*x = r - 32. What is the remainder when r is divided by s(i)?
7
Let f(w) = -4*w - 19. Let k be f(-5). Suppose 0 = 11*u + k - 199. What is the remainder when 31 is divided by u?
13
Suppose 0 = 9*c - 268 + 25. What is the remainder when c is divided by 20?
7
Let j = -49 + 49. Suppose 4*b = 2*m - b - 74, j = 4*b - 16. What is the remainder when 186 is divided by m?
45
Let c(q) = -5*q**3 - 11*q**2 - 5*q. What is the remainder when c(-3) is divided by 14?
9
Let s = 41 - 25. Let g be (-3)/(-1) + -5*(-3)/15. Calculate the remainder when (-5418)/(-70) - (0 - g/(-10)) is divided by s.
13
Let l = 908 + -786. What is the remainder when l is divided by 47?
28
Suppose -3*g + 9 = -l, 4*l + g - 2*g = -3. Suppose -5*v + 280 - 110 = l. Calculate the remainder when v is divided by 18.
16
Suppose -2*u + 64 = 2*u. Suppose 0 = -3*h - 3*p + 18, 4*h - 22*p - 18 = -20*p. Calculate the remainder when u is divided by h.
1
Suppose 0 = -2*o - 5*n + 46, -9*o + 3*n - 87 = -12*o. What is the remainder when o is divided by 12?
9
Let d be 1526/18 + (-22)/(-99). Suppose 21 = -2*r - 5*j + d, 34 = r + 3*j. Let q = 200 + -135. Calculate the remainder when q is divided by r.
21
Let o = 56 + 48. Calculate the remainder when o is divided by 18.
14
Let k = -211 - -251. What is the remainder when k is divided by 11?
7
Let c = 6 + 2. Let l = 6 - 1. Suppose l*d - z - 27 = 0, 8*z = d + 3*z - 15. What is the remainder when c is divided by d?
3
Let u be 20/15 + (-8)/6 + 2. What is the remainder when (-2 - -1)*-49 + (0 - u) is divided by 16?
15
Calculate the remainder when 837 is divided by 1 + 114 + (4 - -2).
111
Suppose -17*x = -12*x - 880. Suppose -5*j + x = 21. Calculate the remainder when j is divided by 8.
7
Suppose 4*b - 68 = -5*w, -4*w + 0*w = -16. Suppose 26*s - 70 = 16*s. Calculate the remainder when b is divided by s.
5
Calculate the remainder when 228 is divided by ((-903)/258)/((-2)/4).
4
Suppose -3*n = 3*a - 66, 6*a - 53 = -2*n + 7*a. Calculate the remainder when 89 is divided by n.
14
Suppose -15*b + 18*b - 6 = 0. Suppose b*z = 3*u - 3*z - 73, 163 = 5*u + 2*z. What is the remainder when u is divided by 16?
15
Let t(f) = -8*f. Let m be t(-1). Let j(a) = 3*a**2 - 13*a + 23. Let v be j(m). Let r = -9 + v. Calculate the remainder when r is divided by 26.
24
Let w = 111 + -99. What is the remainder when 190 is divided by w?
10
Let i = 99 - 140. Suppose -2*a + 107 = -3. What is the remainder when a is divided by (-9)/(-27) + i/(-3)?
13
Suppose -75 = -6*v + v. Let p(h) = -h**3 - 19*h**2 + h + 17. Let x be p(-19). Let d = v + x. Calculate the remainder when d is divided by 7.
6
Let v(f) = f**2 + 14*f + 17. Let r be v(-13). Suppose -r*t = -5*t + 22. Let j(h) = -h**3 - 9*h**2 - 18*h - 24. What is the remainder when t is divided by j(-7)?
2
Let s(f) = f**3 + 5*f**2 - 7*f + 10. Suppose 1 = 2*b + 5*t + 6, 4*b - 23 = t. Calculate the remainder when s(2) is divided by b.
4
Let s = 55 + -53. Suppose -7*q + 110 = -s*q. Let z = -3 + 11. Calculate the remainder when q is divided by z.
6
Let c(q) = 14 + 0 - 9 - 2*q. Calculate the remainder when (-3 - (-80)/(-6))*-3 is divided by c(-4).
10
Let h(d) = -2*d + 24. What is the remainder when 88 is divided by h(-5)?
20
Let g = 25 - 15. Suppose 5*p + 3 = 3*j + 8, p - 4*j + 16 = 0. What is the remainder when ((-4)/(-10))/(p/380) is divided by g?
8
Let g = 29 + -24. Suppose -14 = -g*v + 16. What is the remainder when 29 is divided by v?
5
Let o(n) = 5*n**2 + 11*n - 23. What is the remainder when 77 is divided by o(2)?
1
Let c = 33 - -2. Suppose 3*q - 3*n - 36 = 0, 4*q - 2*n = -4*n + 54. Calculate the remainder when c is divided by q.
9
Suppose 5*t + 0*d + d - 119 = 0, 5*d - 19 = -t. Calculate the remainder when 116 is divided by t.
20
Suppose 0 = 6*y - 3*y - 27. What is the remainder when 103 is divided by y?
4
Suppose -42 - 321 = 3*b. Let o = -84 - b. Let v = 25 + -15. What is the remainder when o is divided by v?
7
Suppose 0*v + 3*v + 14 = -4*c, -2*c - 10 = 0. Suppose -5*g = -82 + v. Calculate the remainder when 46 is divided by g.
14
Suppose y + k + 3*k - 309 = 0, 5*y - 4*k - 1569 = 0. What is the remainder when y is divided by 63?
61
Let r(c) = 39*c**2 - c + 2. Let s be r(1). Let l = s - 12. What is the remainder when l is divided by 8?
4
Let g(d) = d**3 - 2*d**2 + 4. Let t be (3 + -1)/((-4)/(-6)). Calculate the remainder when g(t) is divided by (-13 + 0 - -18)*1/(2 + -1).
3
Let t(a) = 31*a**2 + 71*a - 286. Calculate the remainder when t(4) is divided by 99.
98
Let x = 916 + -883. Calculate the remainder when 123 is divided by x.
24
Let a(n) be the third derivative of n**5/60 - 7*n**4/24 + 23*n**3/6 - 2*n**2. What is the remainder when 48 is divided by a(5)?
9
Suppose -27*o + 33*o = 570. Calculate the remainder when 9196/o + 2/10 is divided by (-6)/21 + (-354)/(-14).
22
Suppose 4*d + 0*d = 152. Suppose -3*a + 94 = 55. What is the remainder when d is divided by a?
12
Let l(q) = -23*q + 3. Suppose -3*m - 12 = m. Suppose 41*i + 165 = 780. Calculate the remainder when l(m) is divided by i.
12
Suppose 3*u - 13 - 2 = 0. Suppose 0*i - 3*i + 82 = -5*x, -2*i + 38 = u*x. Calculate the remainder when (4/(-2))/(44/(-1518)) is divided by i.
21
Let t(f) = -f**3 + 12*f**2 + 13*f + 18. Let x = 7 + 6. Calculate the remainder when 51 is divided by t(x).
15
Let m(x) = 2*x**3 - 3*x**2 + 8*x - 12. Calculate the remainder when 23 is divided by m(2).
7
Let v = -666 - -697. Calculate the remainder when 113 is divided by v.
20
Let h(l) be the first derivative of l**2/2 + 27*l + 17. Calculate the remainder when 91 is divided by h(-4).
22
Let k be (-3 + (-51)/(-15))*5. Suppose -g - k*h + 26 = -4*h, 0 = -2*g - 2*h + 22. Calculate the remainder when 20/g*6*2 is divided by 9.
6
Let k = 160 + -91. Suppose -8*d = -19 - k. What is the remainder when d is divided by 8?
3
Suppose 0 = -0*n - n + 4. Suppose 8*z - 60 = n*z. Suppose 3*q = -0*q + z. Calculate the remainder when 17 is divided by q.
2
Suppose 3*b - 43 = 164. Let r be 1/8 - (-719)/8. Suppose 2*v + 3*v - r = 0. What is the remainder when b is divided by v?
15
Let r