hat is the remainder when n is divided by j?
5
Suppose 4*t = f + 425, -4*f + 257 + 57 = 3*t. Let l = -70 + t. Let j(b) = b**3 + 11*b**2 - 68*b - 409. What is the remainder when j(-6) is divided by l?
35
Let o = 332 - 327. Suppose -4*t - 93 + 609 = -o*g, -5*g = 0. What is the remainder when t is divided by 47?
35
Let c(u) = -1786*u + 2. Let j be c(-1). Let x = 128 - 78. What is the remainder when (j/(-9))/((-12)/18) is divided by x?
48
Let g(t) = 5*t**3 - 4*t**2 - t + 11. Let z be g(2). Calculate the remainder when 46 is divided by (z - 0) + (75 - 76).
14
Suppose -14*r + 8722 = 35*r. Calculate the remainder when 519 is divided by r.
163
Suppose 0 = 624*g - 617*g - 91. Suppose 0 = -4*m + g*m - 261. What is the remainder when m is divided by 11?
7
Let q(b) = 158*b**3 - 6*b**2 + 1691*b - 6751. Calculate the remainder when q(4) is divided by 170.
169
Suppose 3*o - 4*d = 57, -o + 3*d = d - 21. Let t(g) = -2*g - 1. Let v be t(4). Calculate the remainder when o is divided by 3 + (-2)/6*v.
3
Let r = 27319 + -25565. Calculate the remainder when r is divided by 88.
82
Let w(s) = s**2 + 5*s + 3 + s**2 + 0*s**2. Let m = 1 + 3. Calculate the remainder when w(m) is divided by 15.
10
Let v(a) = -383*a - 2272. What is the remainder when 314 is divided by v(-6)?
2
Let n(b) = b**3 - 3*b**2 + 2*b - 2. Let f(z) = 10*z - 89. Let g(c) = -10*c + 93. Let j(r) = 4*f(r) + 5*g(r). What is the remainder when j(0) is divided by n(4)?
21
Let i(h) = 2*h**3 + 57*h**2 - 38*h - 83. What is the remainder when 609 is divided by i(-29)?
75
Let n(u) = 20*u - 50*u - 1 - 11. Calculate the remainder when 50 is divided by n(-1).
14
Let p(z) = -z**3 - 9*z**2 - 6*z + 31. Let h be p(-7). Let f be (-6)/(-12)*(1 - h). Suppose 85 = f*k - 110. What is the remainder when 176 is divided by k?
11
Suppose -2*n = -2*q - 6986, -3*n + 2874 = 5*q - 7677. What is the remainder when n is divided by 19?
6
What is the remainder when 2274 is divided by (2 - (-3)/(-4)) + 34 + (-2813)/116?
8
Suppose -13*i + 16*i = 2*f - 74, 0 = 5*f - i - 224. Calculate the remainder when 2010 is divided by f.
32
What is the remainder when 1436 is divided by ((-714)/(-5))/(483/1610)?
8
Suppose 0 = 5*v + c - 16, 57*v + 20 = 62*v + 5*c. Let x = 11 + -8. Suppose v*g - 310 = 4*o, -g + x*o = -88 - 12. What is the remainder when g is divided by 27?
25
Let d = -6936 - -7069. What is the remainder when 3057 is divided by d?
131
Let m(g) = -17*g + 4. Suppose -4*o - 50 = -2*v, 2*o + 53 - 18 = 3*v. What is the remainder when m(o) is divided by 44?
42
Suppose 3*s = -4*a + s - 2, 3*s + 15 = 0. Suppose 5*o - 4*z - 208 = 0, -2*z = a*o - 91 - 3. Let p = 57 - o. Calculate the remainder when 51 is divided by p.
12
Suppose -87 = 120*i - 123*i. Suppose 0 = -4*q - 3*x + i, 4*q - 2*q + 5*x + 3 = 0. Calculate the remainder when 206 is divided by q.
8
Suppose 1041 = 5*o + 321. Let d = 152 - o. Calculate the remainder when 37 is divided by d.
5
Let n(j) = j**2 - 66*j - 1535. Calculate the remainder when 874 is divided by n(-19).
74
Suppose -5*b - m + 118 = 0, 3*b - 28 = -m + 42. What is the remainder when 113 is divided by b?
17
Let q be (-274)/12 + (0 - (-5)/(-30)). Let t = q + 36. Let i(x) = -x**3 + 6*x**2 + 3*x + 3. Calculate the remainder when i(4) is divided by t.
8
Suppose 6*n = -35*n - 8856. What is the remainder when (n/21)/(27/(-252)) is divided by 36?
24
Suppose -3*h + 141 = 2*t, -4*t + 87 = 5*h - 198. Suppose 0 = 5*x - 10 - 120. Calculate the remainder when t is divided by x.
23
Suppose 3*m - 2646 = -5*r - 48, 0 = -3*r - 5*m + 1546. What is the remainder when r is divided by 103?
7
Let s(f) = -2*f**2 + 9*f - 2. Let y be s(7). Let p = y - -28. Calculate the remainder when 103 is divided by 236/9 - (-2)/p.
25
Let x(b) = -4*b**2 + 15*b - 23. Let t(f) = 11*f**2 - 45*f + 69. Let m(w) = 3*t(w) + 8*x(w). What is the remainder when 106 is divided by m(17)?
49
Let t = 29 - 19. Let h(c) be the third derivative of -c**5/20 + 31*c**4/24 - 4*c**3/3 + 70*c**2 - c. Calculate the remainder when 3 is divided by h(t).
1
What is the remainder when 632/(-20)*(-30)/12 is divided by 12 - (0/4 + -4)?
15
Suppose 152*y = -53*y + 57*y + 33300. Calculate the remainder when y is divided by 62.
39
Let p be ((-7)/(-2))/(-7) - (-29)/2. Suppose -p*m + 56*m = 15078. Calculate the remainder when m is divided by 33.
29
What is the remainder when -750*(-11)/231*7 is divided by 87?
76
Suppose 2 = -2*h - 0*h. Let d(g) = -45*g - 2. Calculate the remainder when d(h) is divided by (8/16)/((-4)/(-120)).
13
Let r = 36706 - 36660. What is the remainder when r is divided by 33?
13
Let r(z) = -z**3 - 31*z**2 - 29*z + 46. Let m be r(-30). Suppose m*f - 226 = -2. Let b = 35 - 10. What is the remainder when b is divided by f?
11
Suppose 0 = -3*m + 5 + 10. Suppose 3*w = m*w - 24. Let o = w - -5. Calculate the remainder when 47 is divided by o.
13
Let s(g) = -g**3 + 14*g**2 - 10*g - 11. Let m be s(13). Let v = m + -26. Suppose -v*k = 5*k - 224. What is the remainder when k is divided by 11?
10
Suppose -d - 367 = -2*b, -2*b - 101*d = -98*d - 379. What is the remainder when b is divided by 79?
27
Suppose 2*s = -5*c + 8*c + 1, 4*s - c = 7. Calculate the remainder when s*((-1)/(-5) + 5052/40) is divided by 16.
13
What is the remainder when 200 is divided by -12 + 868/70 - ((-399)/5)/3?
11
Let k = 80 - 45. Suppose l - 8*z + 4*z = -23, 0 = -l + 3*z - 20. Let f(v) = -7*v + 61. Calculate the remainder when f(l) is divided by k.
33
Suppose -4*x = -2*a + 24, 3*x + 7 + 16 = 2*a. Suppose -c - 2*b = -73, 5*c = -b + 424 - 95. What is the remainder when c is divided by a?
5
Let d = -497 - -2097. Suppose -c = -21*c + d. What is the remainder when c is divided by 18?
8
Suppose -3*h = 2*i - 528, 2*i + 352 = h + h. Suppose 99 = 3*l + 3*o, -4*l + 3*o + 164 = 11. What is the remainder when h is divided by l?
32
Let t = 49 + -34. Let r(x) = 6*x**2 + 4*x + 17. Let u be r(6). Suppose -u*j + 44 = -253*j. Calculate the remainder when t is divided by j.
4
Suppose -214*d = -152*d - 930. What is the remainder when 1373 is divided by d?
8
Let a = 13554 + -13545. What is the remainder when 896 is divided by a?
5
Suppose 5*z - 112 - 128 = 0. Suppose z*f - 7*f - 2009 = 0. Let h(b) = b**3 + 7*b**2 + 7*b + 6. Calculate the remainder when f is divided by h(-4).
23
Let d = 52 - 97. Let o be 3*4/36 - 4140/108. Let m = o - d. What is the remainder when 13 is divided by m?
6
Let f(z) = z**2 + 36*z - 231. Calculate the remainder when 473 is divided by f(-42).
11
Let q(i) be the first derivative of i**4 - 13*i**3/3 - 3*i**2/2 + 19*i + 11. What is the remainder when q(7) is divided by 32?
29
Suppose -15*q = -219*q + 152794 + 38558. Calculate the remainder when q is divided by 95.
83
Suppose 0*a - 6*a - 3*a = 0. Suppose a = -4*n + y + 136, -2*n + 14*y = 17*y - 82. What is the remainder when 135 is divided by n?
30
Let v(d) = 25*d**2 - 54*d - 101. Calculate the remainder when v(-2) is divided by 45.
17
Suppose 19 = t + 3*o - 0*o, -4*o - 76 = -4*t. Let s be 20/40*((-2)/(-1) - -80). Suppose 0 = v - s - 15. What is the remainder when v is divided by t?
18
Let o(l) = -930*l + 10254. Let n = 129 - 67. Calculate the remainder when n is divided by o(11).
14
Let c(q) = q**2 + 25*q. Suppose 4*n + 1 = z - 20, 19 = -4*n - z. Let f(p) = -5*p + 4. Calculate the remainder when c(-27) is divided by f(n).
25
Suppose 3*j + b = 0, j - 4*j + b = 0. Suppose j = -5*c, z = 3*z - 5*c - 34. Calculate the remainder when 372 is divided by z.
15
Suppose -9561*b = -9545*b + 94 - 606. Calculate the remainder when 10654 is divided by b.
30
Let z(r) = 40*r**3 + 2*r**2 + 153*r - 155. Calculate the remainder when 376 is divided by z(1).
16
Let j be (4 + -125)*1 - -1. Let r(c) = 4*c**3 - 6*c**2 + 6*c - 2. Let q be r(4). Let l = q + j. Calculate the remainder when l is divided by 24.
14
Let v = -2744 + 4407. Suppose 0 = -20*j + 1537 + v. What is the remainder when j is divided by 84?
76
Let q = -27 + 41. Let t = -53 + 59. Calculate the remainder when 9/t*13*(-4)/(-3) is divided by q.
12
Calculate the remainder when 5/(-6) + (-24756)/(-72) is divided by 111.
10
Let b = 259 + -150. Calculate the remainder when b is divided by (-28)/(((-9)/6)/(-4 + 152/32)).
11
Let j(y) = y - 2. Let a be j(3). What is the remainder when (3 + -7)/((9/129)/(12/(-16))) is divided by (