/3.
8
Let a be 16/3 - 4/(-12)*-1. Suppose 88 = a*j + 3. What is the remainder when j is divided by 4?
1
Suppose -97 - 35 = -3*j. Let m(d) be the third derivative of -d**5/60 - 5*d**4/12 + d**3/3 + 3*d**2. What is the remainder when j is divided by m(-7)?
21
Suppose -10*m - 88 = -14*m. Calculate the remainder when m is divided by 16.
6
Suppose -13 = -y - 3*d + 4, 3*y - 51 = -5*d. What is the remainder when 269 is divided by y?
14
Let m(f) = -14*f + 115. What is the remainder when 644 is divided by m(7)?
15
Suppose 675 = 7*r + 157. Suppose 5*y - r = 4*a, -10 = -3*y - 5*a + 27. Calculate the remainder when 25 is divided by y.
11
Suppose 3*z = 5*u - 318, 5*u + 5*z - 212 - 98 = 0. Let f = -21 + 37. What is the remainder when u is divided by f?
15
Suppose -3*r + 53 - 2 = 0. Let j(m) = -19*m + 6. Calculate the remainder when j(-3) is divided by r.
12
Let t(p) = 4*p**2 - 4*p - 1. Let m = -11 + 15. Suppose 59 - 187 = -2*n + 2*c, n + m*c - 74 = 0. Calculate the remainder when n is divided by t(3).
20
What is the remainder when 0 + 719 + 0/(-2 - -3) is divided by 20?
19
Suppose -85*p = -23*p - 1922. What is the remainder when 141 is divided by p?
17
Let j(p) = -p**2 - 47*p - 394. Calculate the remainder when j(-13) is divided by 8.
0
Calculate the remainder when -10 + 4 - (-133 - 0) is divided by 67.
60
Let w = -31 - -19. Let d = -18 - w. Let i(k) = k**3 + 7*k**2 + 4*k + 1. What is the remainder when 63 is divided by i(d)?
11
Let g(c) = 6*c**2 - 40*c - 14. What is the remainder when g(12) is divided by 62?
60
Let x = 317 + -290. Calculate the remainder when 68 is divided by x.
14
Let o(n) = -n + 197. Suppose 4*j = j + 96. What is the remainder when o(8) is divided by j?
29
Suppose 51 = 5*f - 54. Let o(d) = -d**2 + 26*d - 17. Calculate the remainder when f is divided by o(25).
5
Let s(u) = -4*u - 6. Let b be s(-4). Let p(y) = 6*y - 48. Calculate the remainder when p(b) is divided by 4.
0
Let x(f) = -16*f - 69. Calculate the remainder when 51 is divided by x(-6).
24
Suppose 3*z = -2*p + 27, -5*p + z - 15 = -40. Suppose -6*f = -f - 115. What is the remainder when f is divided by p?
5
What is the remainder when 272 is divided by (-103 - -138)*(0 - -1)?
27
Let b(x) = -x**3 - 14*x**2 + 66*x - 46. Calculate the remainder when b(-18) is divided by 17.
11
What is the remainder when 899 is divided by (9 - -3) + (2 - -31)?
44
Let j(x) = -7*x**2 + 59*x - 5. Calculate the remainder when 22 is divided by j(8).
3
Suppose 947 = 3*p - o, 4*p - 12*o + 8*o - 1252 = 0. Calculate the remainder when p is divided by 11.
9
Suppose -2072 = 25*u - 53*u. Calculate the remainder when u is divided by 64.
10
Let m = 108 - 77. Calculate the remainder when 119 is divided by m.
26
Suppose -12 = 11*i - 15*i. Let u = -5 + 9. Suppose t - 6*t + 35 = -3*v, -u*t - 2*v + 28 = 0. Calculate the remainder when t is divided by i.
1
Let m be 2 - (0 + 1) - 0. Let j(x) = -4*x**3 - 2*x**2 + 24*x - 1. Let a be j(-3). Let p = a + m. Calculate the remainder when 71 is divided by p.
17
Let p be 1/(6/(-99)*(-3)/4). Suppose -8*g + p = -7*g. Calculate the remainder when 40 is divided by g.
18
Suppose 4*c - 4*u = -2*u + 18, 5*c - 2*u - 22 = 0. Suppose 176 = c*q + 12. Calculate the remainder when q is divided by 11.
8
Suppose -i + j = 17 - 3, 2*i + j = -19. Let y = i - -14. Suppose 36 = -0*h + 4*h - 2*v, -5*v = y*h - 53. What is the remainder when 30 is divided by h?
8
Let p = -353 - -415. Let b = -4 - -7. Suppose -b*y + 70 = l, 5*y = -7*l + 4*l + 122. Calculate the remainder when p is divided by y.
18
Let l be 115*2 + (-12)/6. Suppose 60 - l = -4*b. What is the remainder when b is divided by 24?
18
Suppose 2*j - 74 = -4*i, -245 = -7*j + 2*j + 5*i. Suppose j = 11*g - 10. What is the remainder when 8 is divided by g?
3
Let w = 28 + -17. Suppose f - 152 = -f. Suppose -f = -0*r - 4*r. Calculate the remainder when r is divided by w.
8
Suppose 10 = -5*z, -2*z - 3*z = 4*t - 98. Let g(a) = -2*a**2 - 18*a - 27. Let f be g(-7). Let o = f + t. Calculate the remainder when 109 is divided by o.
25
Let r = -21 - -17. Let q(k) = k**3 + 4*k**2 - 8*k - 10. Calculate the remainder when 151 is divided by q(r).
19
Let d(k) = k**3 + 8*k**2 - 3*k + 11. Suppose 198 = -7*h + 18*h. Calculate the remainder when d(-8) is divided by h.
17
Suppose 3*i = -4*w + 1100, -4*i + 6*i = 0. Calculate the remainder when w is divided by 12.
11
Let c = -222 - -318. What is the remainder when c is divided by 36?
24
Let c = 3146 + -3095. What is the remainder when c is divided by 5?
1
Let a = 99 - 13. Calculate the remainder when a is divided by 10/(-4)*(-176)/20.
20
What is the remainder when (-29)/(((-5)/(-10))/1)*-1 is divided by 15?
13
Let s(j) = 3*j**2 + 17*j - 2. Calculate the remainder when 11 - -1 - (-8 - -6) is divided by s(-6).
2
Let l = 2052 + 35. What is the remainder when l is divided by 87?
86
Suppose 158*l - k = 153*l + 39, -30 = -2*l + 4*k. Let v = 726 - 380. What is the remainder when v/14 + 2/7 is divided by l?
4
Suppose -7*n + 1 = 15. Calculate the remainder when 96 is divided by 44/(-66)*33/n.
8
Let b(k) = -k + 77. What is the remainder when b(-5) is divided by 21?
19
Let d = -3092 + 3095. Let g = -20 + 43. Calculate the remainder when g is divided by d.
2
Suppose 12*f = 1851 - 435. What is the remainder when f is divided by 42?
34
Suppose 0 = -180*j + 183*j - 105. Calculate the remainder when j is divided by 13.
9
What is the remainder when (442/(-5))/(10/(-25)) is divided by 74?
73
Suppose -2*r = -3*r - 17. Let z(u) be the first derivative of u**3/3 + 15*u**2/2 - 21*u + 56. Calculate the remainder when 36 is divided by z(r).
10
Suppose 8*l - 7*l + 3 = 0. Suppose -2*v + 46 = -3*p - 2*p, -3*v = -2*p - 47. Let o = v + l. Calculate the remainder when o is divided by 7.
3
Suppose 5*s = 2*n + 27 - 111, -n = 5*s - 27. What is the remainder when 181 is divided by n?
33
Suppose -v - 3*v + 118 = 3*s, 3*v - 12 = 0. Calculate the remainder when 95 is divided by s.
27
Let c = -5907 + 5943. Let n be 4*1*(-18)/8. Let w = n - -22. Calculate the remainder when c is divided by w.
10
Suppose -9 = -3*j + 2*p, -2*j - 2*p + 6 = p. Suppose -2*o = -6*o. Suppose j*b - 8 = g - 6*g, o = b + g - 4. Calculate the remainder when 10 is divided by b.
4
Let r(z) = z**3 - z**2 + z + 10. Let a be 2/8 + (-3)/12. Let u(p) = -p**3 - 52*p**2 - 50*p + 88. What is the remainder when u(-51) is divided by r(a)?
7
Let t(c) be the first derivative of -c**4/12 + c**3/6 + c**2 + 4. Let n(v) be the second derivative of t(v). What is the remainder when 53 is divided by n(-13)?
26
Suppose -3*h + 68 = 5*z, -25 = -2*h + h - 4*z. Let j = 1117 + -558. Suppose 5*v - j = -149. Calculate the remainder when v is divided by h.
19
Let a = 294 + -248. What is the remainder when 196 is divided by a?
12
Let y = 189 + -178. What is the remainder when 2/1 + 78/2 + 2 is divided by y?
10
Let z(d) = -d**2 + 4*d**2 + d**3 + 99 - 96. Let c be z(-3). Calculate the remainder when 55 is divided by -24*2/(-3) + c.
17
Let s(o) = -2*o - 1. Let d be s(-1). Suppose -j + d + 4 = 0. Suppose 30*z - 170 = 20*z. What is the remainder when z is divided by j?
2
Suppose 11*g + 6*g - 153 = 0. Calculate the remainder when 71 is divided by g.
8
Let t(x) = 24*x - 809. Calculate the remainder when t(44) is divided by 9.
4
Let h(q) = -q**2 - 5*q + 13. Let g be h(-6). Suppose g*b + 10 = 8*b. What is the remainder when 46 is divided by b?
6
Let y be (-74)/(-19) - 2/(-19). What is the remainder when (y - 1) + (177 - -6) is divided by 47?
45
Suppose 6*c + 2061 - 2943 = 0. What is the remainder when c is divided by 52?
43
Suppose 5*j = -0*j - 130. Suppose 37*b - 9 = 40*b. What is the remainder when 22 is divided by (-2)/3 + j/b?
6
Calculate the remainder when 90/(12/96*8) is divided by -1 + 2 + 30/1.
28
Let i(t) = t**3 - 14*t**2 + 13*t + 17. Suppose -15*r = -10*r - 65. What is the remainder when 82 is divided by i(r)?
14
Let d(c) = -c**3 - 3*c**2 + 4*c - 1. Let t be d(-7). Let j = t + -117. What is the remainder when j is divided by 26?
24
Let d = 1033 + -1021. What is the remainder when 1031 is divided by d?
11
Suppose 44 = 3*z + z. Let u = 24 - z. What is the remainder when 77 is divided by u?
12
Let p(q) = -q**3 + 9*q**2 - 12*q + 14. Let o be p(7). Let m = o - 20. What is the remainder when (2 - (0 - 19)) + 1 is divi