 d(-1)?
5
Let q(v) = -v**3 + 21*v**2 - 35*v + 47. What is the remainder when q(19) is divided by 22?
16
Suppose -16*d = -19*d + 54. Suppose -13*o + d*o = 185. What is the remainder when o is divided by 6?
1
Let m(z) be the second derivative of z**3/3 + 7*z**2/2 + 48*z + 2. What is the remainder when 242 is divided by m(14)?
32
Suppose 155*t + 57*t - 18868 = 0. Calculate the remainder when 4262 is divided by t.
79
Let x(f) = 64*f**2 - 114*f + 218. Calculate the remainder when x(2) is divided by 82.
0
Let q(v) = 2*v**3 + 3*v**2 - 7*v + 13. Let k be q(4). Suppose -k = -4*x - 17. Let u = 40 + -20. Calculate the remainder when x is divided by u.
16
Suppose c - 22 = 2*y, -65 - 1 = -3*c - y. Let p(a) = a**2 - 19*a - 32. What is the remainder when p(c) is divided by 27?
7
Let a(f) = 3*f + 31. Let h(j) = j + 10. Let g(k) = 3*a(k) - 8*h(k). Let l(x) = 13*x - 6. Calculate the remainder when l(4) is divided by g(-1).
10
Suppose -8*o + 81 = o. Suppose 9*x = 6*x + o. Suppose -4*k = 4*a - 36, x*a + 2*k - 28 = -0*a. What is the remainder when 27 is divided by a?
7
Suppose 4*y + 3*v = 13, y + 8*v = 13*v + 9. Calculate the remainder when y/3*(-9585)/(-180) is divided by ((-2)/(-4))/((-1)/(-36)).
17
Suppose 17259 - 3155 = 11*k + 30*k. Calculate the remainder when k is divided by 57.
2
Let p(r) = 5*r**2 - 30*r + 54. Calculate the remainder when p(-16) is divided by 121.
120
Let u = 920 - 845. Suppose u = 44*o - 39*o - k, -2*k + 32 = 3*o. Let v = 103 + -50. Calculate the remainder when v is divided by o.
11
Let p(j) = -j**3 + 2*j**2 + 9*j + 4. Suppose 7*s - 24 = 15*s. Calculate the remainder when p(s) is divided by 12.
10
Let u = 9385 + -9151. Calculate the remainder when 325 is divided by u.
91
Suppose c + 89 = 2*c. What is the remainder when c is divided by -8 - 81*(-8 + 161/21)?
13
Let f = -174 - -52. Let b = -109 - f. Calculate the remainder when 50 is divided by 171/b - (-26)/(-169).
11
Let a(s) = s**3 + 7*s**2 - 4*s - 41. Calculate the remainder when 472 is divided by a(-4).
12
Let y = -243141 - -243214. Let i(z) = 74*z - 8. What is the remainder when i(6) is divided by y?
71
Let i(y) be the second derivative of -y**3/6 + 17*y**2/2 - 47*y. Let f = 7 + -3. What is the remainder when i(3) is divided by f?
2
Let x = 29 + -14. Let a(k) be the second derivative of -k**3/6 + 11*k**2/2 - 2*k. Calculate the remainder when x is divided by a(6).
0
Let p(h) = h**3 + h - 14 + 9 - 16 - 2*h**2 - h**2. Calculate the remainder when p(5) is divided by 26.
8
Suppose 0 = -3*w - 4*q + 8, 4 + 4 = w + 4*q. Suppose w = -15*k + 54 + 36. What is the remainder when 237 is divided by k?
3
Let r = 22240 + -19603. Calculate the remainder when r is divided by 80.
77
Suppose 807 = x - r - 182, -1976 = -2*x + r. Calculate the remainder when x is divided by 317.
36
Suppose 0 = -20*s + 63*s - 434046 - 201838. What is the remainder when s is divided by 29?
27
Suppose -11*l + 432 + 1185 = 0. Let b = -113 + l. What is the remainder when b is divided by 7?
6
Calculate the remainder when 136 is divided by (-5 + (-9)/(-6))*612/(-63).
0
Suppose 4*f + 5*f = 194 + 202. Calculate the remainder when 770 is divided by f.
22
Let a = 7351 + -7055. Calculate the remainder when a is divided by 60.
56
Let j = 59 + -41. Let v = -528 - -561. Calculate the remainder when v is divided by j.
15
Suppose -174 = 5*o - 5*o - 3*o. Suppose 19 = 3*u - 41. What is the remainder when o is divided by u?
18
Let r(h) be the second derivative of -h**5/20 - 2*h**4/3 + h**3/6 + 5*h**2/2 - h. What is the remainder when r(-9) is divided by ((-1)/2)/((-371)/182 - -2)?
12
Calculate the remainder when ((-1)/(-5 - -1))/(16/320) - -126 is divided by -3 + 2 - (-114)/3.
20
Let y(j) = 2*j**2 - 11*j + 1 + 10 + 4*j - 6*j. What is the remainder when y(9) is divided by 6?
2
Suppose 2*k - w = 93, 4*w - w + 235 = 5*k. Suppose -y + 14 = 5*s + y, -18 = -4*s - 5*y. Suppose k = 2*r + s*r. What is the remainder when 28 is divided by r?
6
Suppose -22 = -17*p + 15*p. Let w(q) = 5 + 10*q**2 - 11*q - 11*q**2 + 12. What is the remainder when w(-11) is divided by p?
6
Let s = 4548 + -4531. Calculate the remainder when 742 is divided by s.
11
Suppose -3*g = 62 - 2. Let s(i) = 30*i**3 + 0*i - 9 - 5*i**3 - 24*i**3 - 3*i + 20*i**2 + 0*i. Calculate the remainder when s(g) is divided by 14.
9
Suppose 560 = 5*f + 5*b, 2*f - 3*b - 178 = 61. What is the remainder when f is divided by (105/(-28))/((-6)/64)?
35
Suppose -26 + 18 = 2*s. Calculate the remainder when 151 is divided by 17/s*(32/(-4))/2.
15
Let z = 209145 + -208917. Suppose 5 - 2 = -w, -3*w - 57 = -2*y. Suppose 0 = 3*b - 150 - y. What is the remainder when z is divided by b?
54
Suppose -6158*o + 468182 = -6015*o. What is the remainder when o is divided by 182?
180
Suppose -8*x + 23*x - 30 = 0. Let i be x/7 + 752/14. Let y = 71 - i. What is the remainder when 48 is divided by y?
14
Let b(a) be the third derivative of -a**4/2 - 61*a**3/2 - 127*a**2. What is the remainder when 102 is divided by b(-17)?
18
Suppose 0 = b - 4*w - 26, -2 = -2*b - w + 32. Calculate the remainder when 3/(-1)*(-1644)/36 is divided by b.
11
Let l be (2 + -2)/((-4)/(-4)). Let b(o) = o**2 - 5*o + 118. Let w(x) = 4*x**2 + 4*x + 6. Calculate the remainder when b(l) is divided by w(-3).
28
Let x(c) = 18*c - 2. Suppose -15 + 18 = 3*d. What is the remainder when x(d) is divided by 6?
4
Suppose -3*p - 5*k = -50, 2*k + 319 - 309 = 0. Calculate the remainder when 239 is divided by p.
14
Suppose 28930 = 499*j - 444*j. Calculate the remainder when 2109 is divided by j.
5
Suppose 2*x - 3*d - 64 = -188, 3*x + 183 = 3*d. Let b = 51 + x. Calculate the remainder when ((-6)/(-8) - 314/b) + -2 is divided by 11.
5
Let j(g) be the third derivative of -g**6/120 - g**5/10 + g**4/6 + g**3/3 + 2*g**2. Let z = 394 + -401. What is the remainder when 91 is divided by j(z)?
22
Let v(i) be the third derivative of i**5/60 + 13*i**4/24 - 101*i**3/6 + 12*i**2 - 3*i. What is the remainder when v(-20) is divided by 10?
9
What is the remainder when 64 is divided by ((-4)/(-18) + 8*(-119)/882)*-42?
28
Let u = -505 + 508. Suppose 4*j + y = 79, u*j = 2*y + 1 + 50. Suppose 3*i - 19 = 11. Calculate the remainder when j is divided by i.
9
Suppose -3*c + 4*w + 159 = 0, 4*c - 212 = -0*c - 5*w. Suppose 56*z + 18 = c*z. Let x = 10 + z. Calculate the remainder when 13 is divided by x.
1
Suppose -n + d = -2*n, -3*n - 4*d + 1 = 0. What is the remainder when ((-33)/(-9))/(n/(-15)) is divided by 19?
17
Let r(c) = 4*c - 21. Let k(j) = j - 1. Let q(g) = 2*k(g) - r(g). Let x = -17 + 35. Calculate the remainder when q(-7) is divided by x.
15
Let c = -11973 + 13383. What is the remainder when c is divided by 67?
3
Suppose -10*n + 480 = -2*n. Suppose n*f = 55*f - 35. Let l(c) = -c**3 - 5*c**2 + 10*c + 17. Calculate the remainder when l(f) is divided by 12.
9
Suppose 5*d + 0 = -x - 3, -4*x - 12 = -5*d. Suppose -v - v + 5*o + 243 = d, -v + o = -114. What is the remainder when v is divided by 24?
13
Let b = -169 + 195. Suppose b + 18 = 4*r. Calculate the remainder when 48 is divided by r.
4
Suppose 4*l + 22 = 2*l. Let q = 9 - l. Let s(m) = 6*m**3 - 362*m**2 + 733*m - 7. What is the remainder when s(2) is divided by q?
19
Let z(p) = 9*p**2 + 18*p - 62. Let w = -126 - -219. Calculate the remainder when z(6) is divided by w.
91
Let h = -657 - -794. Calculate the remainder when h is divided by (-6)/4 + ((-126)/(-4) - 2).
25
Let z(s) = -21*s - 182 - 205 - 2*s**2 + 395. Let k be (2/4)/((-5)/90). Calculate the remainder when z(k) is divided by 21.
14
Let q(x) = -x - 67. Let n be q(-25). Let g = 53 + n. Calculate the remainder when 2/(6/9) - -28 is divided by g.
9
Suppose -5*b + b = 8. What is the remainder when 47/((-2)/(-8) - 6/(-8)) is divided by 213/9 - b/6?
23
Let b = 3 - -37. Suppose -80 = -b*j + 35*j. Suppose -7*m + 10 + 25 = 0. Calculate the remainder when j is divided by m.
1
Suppose -514633 - 134576 = -55*x - 1078*x. Let k(p) = 2*p + 4. What is the remainder when x is divided by k(6)?
13
Let d(m) = m**2 + 9*m + 14. Suppose 2*a + 50 - 30 = 0. Calculate the remainder when 59 is divided by d(a).
11
What is the remainder when 2095 is divided by 231/12 - ((-77)/140 + (-2)/10)?
15
Let g(t) = -14 + 8*t + 13*t + 3*t - 2*t**2 - 8. Calculate the remainder when 78 is divided by g(8).
36
Let j(o