 is the remainder when 1*(-4 - -122 - 1) is divided by 51?
15
Calculate the remainder when 3144 is divided by (-3 + (-80)/(-12))*-1*(-2 - 1).
9
Let v(s) = -25*s**3 - 3524*s**2 + 142*s + 146. What is the remainder when (-1)/((-20)/(-7) - 3) is divided by v(-141)?
2
Suppose -6*q + p + 357 = 0, 247 + 51 = 5*q - p. Let c(z) = 0*z**3 - 4 + z**3 + 6*z + 4*z**2 - 2*z**3. What is the remainder when q is divided by c(4)?
19
Suppose 2*j = -p + 1, -p + 14 = 4*j - 3*p. Let a = 6 - j. Suppose u - 11 = 3*c, -4*u + 3*c - 13 = -75. Calculate the remainder when u is divided by a.
1
Suppose 145 = 11*k + 13. Suppose x + 308 = k*x. What is the remainder when 2/(-4) + 550/4 is divided by x?
25
Let a(p) = -4*p - 50. Let h(r) = -2*r - 11. Suppose 4*x - 21 = -1. Let v be h(x). Calculate the remainder when 66 is divided by a(v).
32
Let s = 54 - 37. Suppose -6*z - 4 = -2*z. Let a(i) = -62*i**3 - 3*i - 2. What is the remainder when a(z) is divided by s?
12
Let s(y) be the third derivative of y**5/60 - y**4/12 + 8*y**3/3 + 54*y**2. What is the remainder when 88 is divided by s(5)?
26
Suppose -t = t - 8. Suppose 2*v = t*v - 94. Suppose -60*r + 63*r - 273 = 0. Calculate the remainder when r is divided by v.
44
Let o(v) = -13*v**3 + 11*v**2 + 20*v + 28. What is the remainder when o(-4) is divided by 30?
26
Suppose 3*b - 4*x = 262, 5*x - 81 = -b - 0*x. Suppose -5*q + 0*q + 185 = 0. Let l = b - q. Calculate the remainder when l is divided by 17.
15
Suppose 4*y = 4*l + 16, -2*y - 6 = l + 1. Calculate the remainder when 152*((-12)/(-54) + 6/216) is divided by (-39)/l + (-2)/(-10).
6
Let z(f) = -3*f**3 + 70*f**2 - 8*f + 72. Let x be z(23). Let p = -269 + x. What is the remainder when p is divided by (-3)/(((-2)/20)/1)?
28
Suppose 40 = c + y, 4*c - 3*y + 27 = 145. Suppose 0 = x - 2*x + 13. Calculate the remainder when c is divided by x.
8
Let x = -34 - -43. Suppose -5*y + 135 = -x*m + 4*m, 0 = 3*y + 3*m - 57. Suppose 0 = 18*l - 36 - 180. Calculate the remainder when y is divided by l.
11
Let y be (3 - 4)*5 + 3. Suppose 0 = -5*w - 4*o + 214, 5*w - 3*o = -o + 208. Calculate the remainder when 68 - 18/y - -5 is divided by w.
40
Let s(v) be the second derivative of -v**5/10 - v**4/12 + 2*v**3/3 - v**2 + 60*v. What is the remainder when 83 is divided by s(-3)?
21
Suppose 0 = x - 387 + 374. Let v(z) = -13*z - 20. Calculate the remainder when v(-10) is divided by x.
6
Let z(o) = 206*o**3 - 2*o**2 - o + 3. Suppose -8 = 2*s + 2*b, 3*b - 5*b + 40 = -4*s. Let p = -7 - s. What is the remainder when z(p) is divided by 16?
14
Suppose 3 = -3*h, -z + 4 = -5*h + 6*h. Suppose 2*v - 262 = 4*j, -z*j - 119 = -3*v + 2*v. Let l = -61 + v. What is the remainder when l is divided by 40?
38
Let d(b) = 12*b**2 + 21*b + 1071. What is the remainder when d(-26) is divided by 53?
51
Let a(l) = -l**3 - l**2 + l + 76. Let v(y) = 2*y + 6. Let x be v(-2). Let k be x/8 + (-22)/(-8) + -3. Calculate the remainder when a(k) is divided by 22.
10
Let a(h) = -2*h + 10. Let g(o) = 7*o - 30. Let p(r) = -17*a(r) - 6*g(r). Let l = 8 + 16. What is the remainder when l is divided by p(0)?
4
Suppose 30 = -3*j + 39, 0 = 5*b + 2*j - 741. Calculate the remainder when 256 is divided by b.
109
Suppose -5*d - 4*p + 45 = 0, 5*d - 23 = -p + 37. Let q(j) = -j**3 + 11*j**2 + 32*j - 16. What is the remainder when q(d) is divided by 11?
7
Let x = 7279 + -7108. What is the remainder when x is divided by 58?
55
Suppose 29*r - 122 = -151. Let n(q) = -q**2 - 6*q - 4. Let p be n(-5). What is the remainder when 2*p*(r + 3) is divided by 2?
0
Let q(b) = 26*b - 30. Let o be q(2). Suppose 4*m = -4*a + 10 + o, 3*m - 12 = 0. Calculate the remainder when 12 is divided by a.
0
Let r = 261 + -287. Suppose -2*p = 4*d - 70, -4*p + 3*d - d + 110 = 0. Let x = r + p. Calculate the remainder when 31 is divided by x.
1
Suppose -22*i + 223 = 47. Suppose 54 = -i*c + 1734. Calculate the remainder when c is divided by 71.
68
Suppose 332*i - 333*i = 4*r - 373, -i + 189 = 2*r. Calculate the remainder when r is divided by 42.
8
Let k(u) = 2*u**3 + 5*u**2 + 26*u - 147. What is the remainder when k(5) is divided by 40?
38
What is the remainder when (-22)/(-33)*3/(-5) - 25552/(-80) is divided by 158?
3
Suppose 42*s = 39*s + 18. Suppose 4*i = w + 52 + 92, 5*i - 181 = w. Calculate the remainder when i is divided by s.
1
Let c = -826 - -1124. Suppose 0 = -2*l - o + c, 12*l - o + 151 = 13*l. What is the remainder when l is divided by 38?
33
Let r(m) = -6*m + 141. Let j be r(19). Calculate the remainder when (-11 - j)*11/(-2) is divided by 30.
29
Let a = 9 - -3. Let u(f) = -f**3 + 20*f**2 - 15*f - 6. Suppose -2*g = -2*s + 4*s - 32, s - 3*g = 28. What is the remainder when u(s) is divided by a?
10
Let q = -345 + 504. What is the remainder when q is divided by ((-92)/(-16))/((-10)/(-40))?
21
Let x = 54810 - 54789. Let h be 5 + (0 - (2 + -1)). Suppose -h*u - 20 = -8*u. Calculate the remainder when x is divided by u.
1
Let y(v) be the first derivative of v**2 - 6*v - 13. Let p be y(3). Suppose -l - 27 + 31 = p. Calculate the remainder when 7 is divided by l.
3
Let i(m) = 5*m**3 - 5*m**2 - 17*m - 42. Let z(y) = -2*y**3 - y. Let n(v) = -i(v) - 2*z(v). What is the remainder when n(-5) is divided by 10?
7
Calculate the remainder when 6723 is divided by (-614)/(-13815) - (-151196)/90.
3
Suppose 164*a = 161*a + 603. Calculate the remainder when a is divided by 38.
11
Let x = 10113 - 10099. Calculate the remainder when 6437 is divided by x.
11
Let y = -2791 - -3406. What is the remainder when y is divided by 7?
6
Let q = 2513 + -2464. What is the remainder when 683 is divided by q?
46
Let s = 528 + -393. Suppose 520 = 143*f - s*f. Suppose -5*c = -2*w - 83, -c + 13 = -6*w + 2*w. Calculate the remainder when f is divided by c.
14
Suppose -3*w = -2 + 8. Let r be -60 + (-1 - w) + (-2 - 0). Let h = -38 - r. What is the remainder when 65 is divided by h?
19
Let h = 7026 + -6948. Calculate the remainder when 1252 is divided by h.
4
Suppose -p + 2*z = -59, -289*z + 218 = 5*p - 288*z. Calculate the remainder when 358 is divided by p.
43
Let w = -178 - -172. Let h(x) = -x**3 - 5*x**2 - 2*x - 8. What is the remainder when h(w) is divided by 7?
5
Suppose -105 - 222 = -3*u. What is the remainder when u is divided by 103/2 + 2 - (150/20 + -7)?
3
Calculate the remainder when 2495 is divided by 356*(-27)/18*(-49)/21.
3
Let d = 72 - -1. Suppose -5*q + 4*l = 0, -3*q = 5*l + 42 - 5. Calculate the remainder when d is divided by (-12)/6*30/q.
13
Suppose -67*a + 18*a + 36*a = -65. Suppose 0 = 3*s - 8*s + 50. Calculate the remainder when s is divided by a.
0
Let c be 0/(1 - (-8 + 4)) - -680. Let x = -559 + c. What is the remainder when x is divided by 48?
25
Suppose 3*x - 2 = 4*x + 2*c, c - 2 = -2*x. Suppose -339 = -2*w + 5*b, -x*b = -b - 5. Suppose -28 = -j + 18. What is the remainder when w is divided by j?
44
Let n(b) = -1946*b**2 - 5*b + 1947*b**2 - 60 - 5*b. What is the remainder when n(22) is divided by 69?
66
What is the remainder when 2947 is divided by 5 + (-3 + 12 - (-29 + 30))?
9
Let w = 2162 - 2027. Calculate the remainder when 420 is divided by w.
15
Let r = 37 + -23. Let m be 8*(2 - 14/4). Calculate the remainder when r is divided by (-105)/(-28) + 9/m.
2
Let p(c) be the third derivative of -20*c**2 + 0*c + 0 - 1/6*c**4 + 13/6*c**3. What is the remainder when p(-9) is divided by 13?
10
Suppose -3*j = -22*n + 17*n - 333, 2*j - 4*n = 222. What is the remainder when 433 is divided by j?
100
Suppose -169 = -8*w - 5*w. Let j = w - 9. Suppose -j*p - 2*i = -50, -17 - 34 = -4*p - 3*i. What is the remainder when 32 is divided by p?
8
Calculate the remainder when -1374*((-38)/3 + 12) is divided by 183.
1
Let d be 4*(-6)/8 - -236. Suppose 51*o = 2987 - d. Calculate the remainder when o is divided by 29.
25
Suppose 2*t + 2*b + 360 = -0*b, 4*t = -5*b - 719. Let j = t - -202. Calculate the remainder when 143 is divided by j.
17
Let w be 15/((-6)/420*3). Let j = w - -569. What is the remainder when j is divided by 10?
9
Suppose 15 = 7*c - 2*c. Let i(t) = -206*t - 348. Let l be i(-6). Suppose 34*j - 10*j = l. Calculate the remainder when j is divided by c.
1
Suppose 4*x - 16 = -0*x. Let r = 54 + -159. Calculate the remainder when (-2)/x + r/(-2) is divided by 14.
10
What is the remainder when 921 is divid