6. Calculate the remainder when 127 is divided by p.
1
Suppose -11647 = -3*f - 19*p + 8*p, 5*f + p - 19533 = 0. Calculate the remainder when f is divided by 24.
20
Suppose -513*n + 198 = -512*n. What is the remainder when n is divided by 61?
15
Let j(a) = 6*a - 30. Suppose 4*x = -9 + 61. Let g be j(x). Suppose 33 = z - 4*b, -2*z = -6*z - 5*b + g. Calculate the remainder when 62 is divided by z.
11
Let a be (-182)/28 + (-2)/(-4). Calculate the remainder when (a/4)/((-8)/(-16)) + 75 is divided by 20.
12
Let n(h) = -h**2 + h - 46. Let d be n(0). Let r be (31 - (1 - 1))/((-2)/(-4)). Let m = r + d. Calculate the remainder when 45 is divided by m.
13
Let y(m) be the third derivative of -m**6/120 - 7*m**5/60 + 2*m**4/3 - 4*m**3/3 - m**2 - 29*m. What is the remainder when 12 is divided by y(-9)?
2
Suppose -3*a = -x + 813, 0 = 4*a + 43 - 19. What is the remainder when x is divided by 11?
3
Suppose 225 + 587 = 14*x. What is the remainder when 136 is divided by x?
20
Let r be 14/21*(-6)/(-4). Suppose 4*j = u - 170, r - 213 = 5*j - u. Let o = -29 - j. What is the remainder when 44 is divided by o?
5
Let h(q) = -q**3 - 3*q**2 - q + 28. Calculate the remainder when h(-5) is divided by (2/5)/((2 + 2)/220).
17
Let b = -6536 - -7083. What is the remainder when b is divided by 121?
63
Suppose -39 = -4*j + j. Let n(q) be the first derivative of q**4/4 - 14*q**3/3 + 15*q**2/2 + 18*q - 536. What is the remainder when 173 is divided by n(j)?
41
Suppose 0 = 4*o - 152 + 40. Suppose 0 = 15*f - 369 - 141. Let p = f + 104. Calculate the remainder when p is divided by o.
26
Let k = 74 - 45. What is the remainder when -36 + 90 + 15/(-2) + 11/(-22) is divided by k?
17
Let m = -56 + 59. Suppose m*d = 1 - 37. Let n = d - -93. What is the remainder when n is divided by 12?
9
Let g = 376 + -214. Let q = 46499 - 46474. Calculate the remainder when g is divided by q.
12
Suppose 148 = 2*b - 4*u, b + 4*u = -b + 188. Suppose -28*t - 10 = -33*t. Suppose 0 = -4*w + t*w + 58. Calculate the remainder when b is divided by w.
26
Let v(c) = -6*c + 3 - 9 + 4. Let a be v(-1). Calculate the remainder when 95*((-72)/20 + a) is divided by 14.
10
Suppose -11*r = 8*r - 684. Let c(w) = w**3 - w**2 - w + 106. What is the remainder when c(0) is divided by r?
34
Suppose 37 = 4*l - l - 5*z, -3*l + 32 = -4*z. Let g(u) = 1 + 0*u + 0 + 3*u + 8*u. What is the remainder when g(1) is divided by l?
0
Let w = 3 - 5. Calculate the remainder when -1 + 1 + (-38)/w is divided by 136/(-952)*(-2 + -47).
5
Suppose 3*z - 5 = -l + 5*z, -3*l - 5*z = -59. Suppose -8*q = -l*q + 30. Suppose q*y - 12 = 3*y. Calculate the remainder when 14 is divided by y.
2
Let d = 1311 - -97. What is the remainder when d is divided by 30?
28
Suppose 2312 = 21*i - 2434. Let d = i + -193. What is the remainder when d is divided by ((-6)/(-1))/((-2)/(-4))?
9
Suppose 206 + 309 = 5*l - q, -q = -2*l + 206. Calculate the remainder when 2258 is divided by l.
95
Let g = 14 - 14. Suppose g = 6*q + q - 161. Let b(m) = 11*m + 33. What is the remainder when b(5) is divided by q?
19
Let a be 3/(-27)*0 + 202 + 2. Let y = -186 + a. Calculate the remainder when 66 is divided by y.
12
Let m = 2999 - 2976. Suppose 0 = -4*u - 2*y - 68 + 390, 5*u + 2*y - 404 = 0. Let r = -40 + u. What is the remainder when r is divided by m?
19
Suppose 3*n - 12 = 3*s, 2*s - 35 + 31 = -4*n. Let p = 0 - -2. Suppose 5*l = -n*m + 26, 5*m + 5*l = 63 + p. Calculate the remainder when 37 is divided by m.
11
Suppose h = 2*p - 51, 3*h + 4*p = -9 - 164. Let g = -75 - -156. Let s = g + h. What is the remainder when 102 is divided by s?
24
Let a be (24/(-4))/(-2)*(9 + -8). Suppose -3*r + 198 = a*k, -r - 3 = 2*r. What is the remainder when k is divided by 36?
31
Suppose 0 = 4*t + 4*w - 8, 13*t - 9*t - w = 33. Let s = -36 - -54. Calculate the remainder when s is divided by t.
4
Let c(k) = -k**3 + 28*k**2 + 24. Suppose 23*t - 38*t = -420. Calculate the remainder when 117 is divided by c(t).
21
Let d(p) = -p**3 - p**2 + 21*p + 104. Calculate the remainder when d(-9) is divided by 27.
23
Let r(g) = g**3 + 21*g**2 + 33*g - 48. Suppose 0 = 2*s - 0*s - 36. What is the remainder when r(-19) is divided by s?
11
Suppose -47*o = -46*o + 3*r - 25, 4*r = 3*o - 179. Calculate the remainder when 478 is divided by o.
37
Let r be (3/2)/((-10)/(-100)). Suppose -25*b - 258 = -31*b. What is the remainder when b is divided by ((-18)/(-3))/(r/40)?
11
Suppose 0 = 85*b + 83*b - 104328. Calculate the remainder when b is divided by 68.
9
Let d(s) = s**3 + 23*s**2 + 78*s + 48. Let x be d(-19). Let q(c) = c - 1. Let g be q(2). Calculate the remainder when ((-5)/x - g/2) + 70 is divided by 18.
15
Calculate the remainder when 1142 is divided by (126/27 + -8)*((-1005)/25 - -3).
26
Let l = -1669 - -1708. Suppose 52*r - 54*r = -622. Calculate the remainder when r is divided by l.
38
Suppose -5*t = -4*s - 755, -s - 283 = 2*t - 78. Let g = -151 - s. Suppose 7*f = 3*f + 60. What is the remainder when g is divided by f?
14
Let d(a) = 2*a**2 + 16*a + 14. Let g be d(-7). Suppose g = 11*h + 195 - 41. Calculate the remainder when 5/(20/h)*60/(-21) is divided by 3.
1
Let m = 6390 + -6194. Calculate the remainder when m is divided by 45.
16
Suppose 3*l + 117 = 6*l. Let z(h) = -h**2 + 8*h + 23. Let g be z(9). Calculate the remainder when l is divided by g - 4/2 - (-10 + 8).
11
Suppose -3*i - u + 1283 = 0, 0 = -16*i + 18*i - 4*u - 874. What is the remainder when i is divided by 6?
3
Suppose -67*v = -65*v + 4*y - 48, -3*v = -3*y - 27. Calculate the remainder when 717 is divided by v.
3
Let u = 1002 - 804. What is the remainder when u is divided by 61?
15
Let v(i) = 3*i - 2. Let z be v(3). Let x(t) = 2*t + 7. Let s(u) = -48*u - 144. Let b(y) = -s(y) - 22*x(y). What is the remainder when 29 is divided by b(z)?
11
Suppose -v + 6*v = x + 1041, -849 = -4*v - x. Calculate the remainder when 22888 is divided by v.
208
Suppose -b - 306 = 2*b. Let j = b - -116. Let w(m) = 4*m**3 - 3*m**2 + 3*m - 1. Calculate the remainder when w(2) is divided by j.
11
Let q = 883 - 834. What is the remainder when q is divided by 12?
1
Suppose 0 = -412*r + 424*r - 7956. What is the remainder when r is divided by 45?
33
Let d = 160 - 164. Let m(x) = -2*x**2 - 19*x - 30. Let f(y) = y**2 + 11*y + 15. What is the remainder when m(d) is divided by f(-10)?
4
Let j = 776 - 772. Suppose -7*m = -5*m + 4*h - 72, -h - 27 = -m. What is the remainder when m is divided by j?
2
Suppose 5*k + 2*v = 126, 10 = k - v - 11. Suppose -3*l - 3*f = -k, -2*l + f = -7 - 9. Suppose -4*j = -0*j - l. Calculate the remainder when 7 is divided by j.
1
Let v(x) = -x**2 - 10*x - 2. Suppose -11*j - 40 = -j. What is the remainder when v(j) is divided by 13?
9
Let g = -8 + 46. Let v(j) = -2*j + 136. Calculate the remainder when v(-6) is divided by g.
34
Let k = -1108 - -1619. Let o(h) = -2*h + 33. Calculate the remainder when k is divided by o(3).
25
Let g = 134 - 132. Let c(n) = 18*n**2 - 4*n - 3. Calculate the remainder when c(-2) is divided by 30/(-7)*(g - 160/24).
17
Suppose 5*d + 320 = 5*p, 0*d - 302 = -5*p - 4*d. What is the remainder when (-248)/p - (0 + -5*21) is divided by 27?
20
Suppose -24 = 2*y - 90. What is the remainder when 3/((-39)/(-2)) - ((-11988)/156 - 15) is divided by y?
26
Let j(b) = 2*b + 190 - b - 164. What is the remainder when j(12) is divided by 3*(32/6 - 1)?
12
What is the remainder when 47150/45 - (-8)/36 is divided by 349?
1
Let h = 146 - 73. Let m = -2804 - -2824. What is the remainder when h is divided by m?
13
Let t be (1 - 2/(-2))*2. Suppose -t*p + 453 = -h, -2*h - 3 = -9. Suppose 90*o = 391 + 1542 + 677. What is the remainder when p is divided by o?
27
Let d = 4124 + -4091. What is the remainder when 1911 is divided by d?
30
What is the remainder when 3928 is divided by (-5 - 0) + 106 + 30?
129
Let m(f) = f**3 + 7*f**2 + f + 65. Calculate the remainder when 130 is divided by m(-6).
35
Suppose 2*t - 8*s + 4*s - 14 = 0, -4*s = 8. Suppose -t*p = p - 20. Let l = -9 - -25. Calculate the remainder when l is divided by p.
1
Suppose -2*f + 5*f - 474 = 0. Let z be -8 + (10 - 0) - (2 + 0). What is the remainder when f is divided by (-40)/(-1) + z/(100/(-10))?
38
Calculate the remainder when (14 + -23 - -4)*-39 is divided by 45.
15
Let d(a) be the second derivative 