t p be c(-10). Let k(g) = 7*g - 51. Calculate the remainder when ((-7)/2)/(2/(-8)) is divided by k(p).
4
Suppose -4*j = -2*v - 44, -13 - 7 = 5*v. Suppose 0 = -10516*c + 10521*c - 20. Calculate the remainder when j is divided by c.
1
Let g(s) = -s**2 + 2*s - 5. Let p be g(9). Let j = -64 - p. Calculate the remainder when (2/(-2))/((-2)/18) is divided by j.
1
Suppose -6*b - 4*m = -b - 495, 0 = -b - 5*m + 99. What is the remainder when b is divided by 30?
9
Suppose 14 + 22 = 3*s. Calculate the remainder when 67 is divided by s.
7
Let a(y) = y**3 - 23*y**2 - 423*y - 23. Suppose 5*m = 4*m + 149. Suppose 5*o - 86 = m. What is the remainder when o is divided by a(-12)?
8
Let l(t) be the third derivative of 0*t + 0 - 5/6*t**3 - 7/12*t**4 - 4*t**2 - 1/60*t**5. What is the remainder when l(-13) is divided by 4?
0
Suppose 3*a = -2*a + 10. Suppose 4*b - 4*f - 40 = 20, -3*b + 2*f = -42. Calculate the remainder when 8/b - (-14)/6 is divided by a.
1
What is the remainder when (-21)/18 + 6119/174 is divided by ((-12)/(-14))/(2/14)?
4
Let i(s) = -s**3 + 6*s**2 - s + 9. Suppose -2*v = -4*z - 28, 4*v - 2*z = 6*v - 16. Let u = v - 4. Calculate the remainder when i(u) is divided by 3.
0
Let z(l) = -2*l**3 - l**2 + 2*l + 2. Let p = 9 - -1. Suppose p*v - 9 = 13*v. What is the remainder when z(v) is divided by 11?
8
Let h = 696 - 290. What is the remainder when 36 is divided by h/21 - 3/9?
17
Suppose -1 - 132 = -5*h + p, 4*p + 12 = 0. Suppose 30*c - 420 = h*c. Calculate the remainder when c is divided by 36.
33
Let j = -38 + 50. Suppose j*t = 16*t - 140. Suppose -5*m = -5*p - 52 + 12, 4*p - 22 = -2*m. Calculate the remainder when t is divided by m.
8
Let v(g) = 39*g**2. Let m be v(-1). Let i = m + -17. Suppose -14 = -q + 49. What is the remainder when q is divided by i?
19
Suppose -u = z - 3, -2*z - 34 = -4*z + 5*u. Suppose -f = -37 - z. Let s(x) = -14*x - 5. What is the remainder when f is divided by s(-2)?
21
Let q(z) = -2*z**2 - 8*z + 6. Let a be q(-7). Let n = a + 75. What is the remainder when n is divided by 10?
9
Let j(o) = -26*o**3 + 8*o - 6. Calculate the remainder when j(-3) is divided by 45.
42
Suppose -4*z = -l - 0*z + 53, -231 = -4*l - 3*z. Let n = 21 + l. Calculate the remainder when n is divided by 20.
18
Let f(r) = 2*r + 5. Suppose o - 69 = -4*n, -2*n + 4*n = -4*o + 234. Let y = -13 + o. Calculate the remainder when y is divided by f(5).
14
Let m = 22 + -12. Let x be (-1143)/6*4/6. Calculate the remainder when -3 + (x/(-4) - (-7)/28) is divided by m.
9
Let y(f) = 5*f**2 + 5*f**2 + 23 - 7*f**2 - 61*f. Calculate the remainder when 128 is divided by y(21).
63
Let y = -486 + 491. Calculate the remainder when y is divided by 1.
0
Suppose 2*k + 4*j = -3*k + 1053, -205 = -k + 2*j. What is the remainder when k is divided by 67?
8
Suppose -2*u - 3*k = -0*u - 43, -2*u - k + 53 = 0. What is the remainder when u is divided by ((-105)/24 - -4) + (-344)/(-64)?
4
Let r(x) = 2*x**2 + 13*x - 24. Let w(p) = 10*p**2 - p - 1. Calculate the remainder when r(-13) is divided by w(2).
34
Let x(b) = -11*b**2 + 155*b - 12. Calculate the remainder when x(12) is divided by 19.
17
Let a(m) = 12 - 3*m + m + 10 - 2. Calculate the remainder when 31 is divided by a(6).
7
Suppose -218 = 27*y - 29*y. What is the remainder when 217 is divided by y?
108
Let u(n) = n**2 + 24*n + 41. Calculate the remainder when u(-25) is divided by 36.
30
Suppose 117 = 6*j - 3*j. Calculate the remainder when j is divided by -6*(-8)/12 - -6.
9
Let f = -18 - -36. Suppose 3*l = -5*q + 337, -20*q + 208 = -17*q - 4*l. Calculate the remainder when q is divided by f.
14
Let y(w) = w**2 - 12*w + 24. Let a be (5/15)/((-1)/(-36)). What is the remainder when 95 is divided by y(a)?
23
Let g(y) = -5*y - 96. Calculate the remainder when 54 is divided by g(-25).
25
Let a = 224 - 73. Calculate the remainder when a is divided by 76.
75
Let z = -22 - -47. Suppose 23*d = z*d - 308. Calculate the remainder when d is divided by 31.
30
Let q(a) = -16*a - 103. Calculate the remainder when 614 is divided by q(-9).
40
Let f = -55 + 67. Let h(j) = 22*j + 2. Let k(p) = -p**2 - 5*p - 4. Let z be k(-3). Calculate the remainder when h(z) is divided by f.
10
Suppose -30 = -s + 24. Calculate the remainder when s is divided by 5.
4
Suppose -5 = 2*b - 1, 5*a = -3*b + 4. Suppose -a*q - 144 = -6*q. Suppose 9 = 3*v - q. Calculate the remainder when 42 is divided by v.
12
Suppose -213 = 4*w + y, 0 = -w + 2*y + 3*y - 27. Let g = w + 70. Calculate the remainder when 52 is divided by g.
16
Let k(y) = -3*y - 3. Suppose m = 3*r + 3, 3*m + 3 = 4*m + r. Suppose x + 0*x + m = 0. What is the remainder when 22 is divided by k(x)?
4
Calculate the remainder when 265 is divided by (37/(629/646))/(2/6).
37
Suppose 23*i - 479 = 533. What is the remainder when i is divided by 25?
19
Suppose -17 = -3*v - 5*n + 1, -50 = -4*v + 2*n. Let l = -33 - -158. Let k = -105 + l. Calculate the remainder when k is divided by v.
9
Suppose -l - 3*l + 36 = 0. Calculate the remainder when 28 is divided by l.
1
Suppose -9 = 3*r, 0 = -23*a + 21*a - 3*r + 17. What is the remainder when a is divided by (-9)/(-4) + (-1)/4?
1
Let v = 118 + -84. Let l be ((-24)/(-28))/((-1)/(-7)). Let r(n) = n**2 - 3*n - 6. Calculate the remainder when v is divided by r(l).
10
Let j(o) = 10*o + 3*o**2 - 12*o - 7 - 4*o. Let g be j(5). Suppose 5*q - g - 222 = 0. Calculate the remainder when q is divided by 18.
16
Suppose 0 = 10*q - 171 - 189. Calculate the remainder when q is divided by 19.
17
Let n = 133 + -73. What is the remainder when n/((-5)/((-5)/1)) is divided by 7?
4
Let z = -1 + 3. Suppose 0 = -3*o - 3*g + 81, 0*o = -z*o + 3*g + 29. Calculate the remainder when o is divided by 24/(-10)*260/(-39) - 4.
10
Let j = 13 + -6. Suppose 0 = -s + j + 7. Calculate the remainder when s is divided by (-44)/(-8) + (-1)/2.
4
Calculate the remainder when (-38)/(-152) - (-2854)/8 is divided by 73.
65
Let y = -9 + 25. What is the remainder when 624/36*27/6 is divided by y?
14
Suppose -720 = -44*g + 28*g. Suppose -13*a = -8*a - 80. What is the remainder when g is divided by a?
13
Suppose -5*t + 284 - 21 = 2*i, -5*t - 4*i = -261. Calculate the remainder when 108 is divided by t.
2
Suppose 3*f - 6 = 6*f. Let j be 2 + 5 + f/1. Suppose -a = -5*t - 80, 2*t - 400 = -j*a - t. Calculate the remainder when a is divided by 27.
26
Let f = 100 - 94. Let b = -112 - -169. Calculate the remainder when b is divided by f.
3
Suppose 3*u + 3*i - 57 = 0, 5*u + i - 110 = -15. Calculate the remainder when 986 is divided by u.
17
Let t(r) = r**3 + 6*r**2 - 2*r - 3. Let i = -7 - -5. Let q be ((-3)/i)/((-6)/16). Calculate the remainder when t(q) is divided by 13.
11
Calculate the remainder when 262 + ((-128)/20)/(-8)*10 is divided by 55.
50
Let x(j) = 197*j**2 + 16*j + 4. Calculate the remainder when x(2) is divided by 33.
32
Calculate the remainder when (-1)/2*(-1 + -33) is divided by 17/((-34)/4)*-3.
5
Let v(h) = 4*h + 11. Calculate the remainder when v(5) is divided by 7.
3
Calculate the remainder when (-1)/5 - (-852)/60 is divided by 8.
6
Let n be (5/(-3) + 2)/(11/66). Suppose -n*h + 7*h = 50. Calculate the remainder when 39 is divided by h.
9
Let m be (-56)/(-84) - 7*(-1)/3. Suppose -n - 4*n + 37 = 2*y, 0 = -m*y - 4*n + 38. What is the remainder when 28 is divided by y?
4
Let b = 933 + -868. Calculate the remainder when b is divided by 40.
25
Suppose 1990 = 3*b + 5*t, 3*t = b - 1114 + 446. What is the remainder when b is divided by 11?
5
Suppose 255 = 2*c - t, 13*c - 11*c - 235 = -3*t. What is the remainder when c is divided by 10?
5
Let b(a) = a**3 + 5*a**2 + 3*a + 1. Let c be 11/(-5) + (-3)/(-15). Suppose -13*p + 14*p - 2 = 0. What is the remainder when b(c) is divided by p?
1
Suppose 8*t - 112 = -2*v + 3*t, -t + 280 = 5*v. Calculate the remainder when 223 is divided by v.
55
Let b be 28*(5 + -8 + 4). Calculate the remainder when (b/20 - -1)/((-1)/(-15)) is divided by 8.
4
Suppose 0 = -4*n - 4, 4*t - 41 = 3*t - n. Calculate the remainder when t is divided by 10*(-24)/(-30) - (-4 - -1).
9
Let k be 6 - 6/2 - -1. Suppose 0 = 3*y - 2*y, 0 = k*o - y - 164. What is the remainder when o is divided by (-4)/10 + (-428)/(-20)?
20
Let p = -762 - -1140. Suppose -5*b - r = -p, -66 = -b + r - 6*r. Calculate the remainder when b is divide