 Let v = 7 + -3. Calculate the remainder when t is divided by v.
1
Let m(r) = -r**3 + r**2 + 33*r - 61. Calculate the remainder when (-739)/(-3) - (-4)/6 is divided by m(4).
17
Suppose 0 = -5*v - 4*s + 1564, 3*v - 7*v + 3*s = -1276. Calculate the remainder when v is divided by 74.
20
Let g be 120*(-5 + (-175)/(-20)). Suppose 14*s = 4*s + g. Suppose r + 718 = 5*r - 5*b, 3*r + 5*b = 521. What is the remainder when r is divided by s?
42
Calculate the remainder when 575 is divided by ((4/(-35))/(20/70))/((-7)/9940).
7
Suppose -r + 437 = 185 + 129. Suppose -4*o + 26 = -30. What is the remainder when r is divided by o?
11
Suppose 0 = -170*l + 166*l + 5*i + 372, -2*l + 208 = 3*i. Calculate the remainder when 159 is divided by l.
61
Suppose 0 = 5*n + m - 16556, -1007*n + 2*m = -1009*n + 6616. What is the remainder when n is divided by 65?
62
Suppose -3*m - 10 = -2*z + 4, 0 = -m + 3*z. Let a(x) = x**3 + 8*x**2 + 9*x + 7. What is the remainder when (-1)/(((-15)/288)/5) is divided by a(m)?
21
Let q(p) = p**3 - p - 4. Suppose 11*d - 6*d - 85 = 0. Suppose u - 6*u = -k - d, -2*k = -u + 7. Calculate the remainder when 97 is divided by q(u).
17
Suppose 3*o = -4*x + 95, -2*x + 4*o = 6*o - 48. Suppose -2*m + 25 - 13 = 0. What is the remainder when x is divided by m?
5
Let h(r) = 76*r**2 + 475*r + 1426. What is the remainder when h(-3) is divided by 406?
279
Suppose 9*i - i = -521 + 1569. Calculate the remainder when 1309 is divided by i.
130
Let y be (-3*2)/(23/(-874)). Suppose o = 3*h - y, -5*o = 3*h - h - 169. Calculate the remainder when 153 is divided by h.
76
Let s(j) be the third derivative of 0 + 24*j**2 - 1/6*j**3 + 0*j - 1/8*j**4. What is the remainder when s(-21) is divided by 33?
29
What is the remainder when 115 is divided by (-3)/(-2)*128/6?
19
Let z be 2/10 + (-484)/220. Let d(f) = -31*f**3 - 2*f**2 - 2*f + 1. What is the remainder when d(z) is divided by 31?
28
Suppose -26*f + 22 = -15*f. Suppose 0 = 8*i + f*i - 110. Calculate the remainder when 41 is divided by i.
8
Let n = 513 - 346. Suppose -8*a + 57 = -n. What is the remainder when 104 is divided by a?
20
Let o be (-15 + 15)*(-1)/(-2). Suppose -7*f + 2*f + 545 = o. Suppose -3*i = -f - 17. Calculate the remainder when i is divided by 13.
3
What is the remainder when 546 + (10 - -1)/1 is divided by 173?
38
Let p be 2 + -2 + -1 + 7. Let c be (18/(-12))/(3/p). Let b = c + 29. Calculate the remainder when 128 is divided by b.
24
Suppose 3*q - 5790 = 3*j, -4*q - 845*j = -842*j - 7727. What is the remainder when q is divided by 481?
7
Calculate the remainder when 496 is divided by 0 + -2 - (-90 + -1) - 6.
81
Suppose 6*y = 1090 - 424. Let m = 188 - y. What is the remainder when m is divided by 10?
7
Suppose -3*j + 29 = -1. What is the remainder when (-4)/15 - 1441349/(-9165) is divided by j?
7
Suppose -2*v + 4*y = -60, 5*v + 0*y + 5*y = 195. Let i = v + -33. Suppose -11*g = -i*g - 56. What is the remainder when 34 is divided by g?
6
Suppose -4*x = -2*w + 26, 0*w + 4*w - 72 = -2*x. Let h = 12885 - 12879. Calculate the remainder when w is divided by h.
5
Suppose -33*d - 57 = -14*d. Calculate the remainder when 110 is divided by 54/(-36)*112/d.
54
Let j = -11 + 17. Suppose 552 = 9*v - j*v. Calculate the remainder when v is divided by 40 - (-4 + 10)/2.
36
Let z(w) = -5*w + 55. Let q be 0*(2/(-12) - 42/126). Calculate the remainder when 326 is divided by z(q).
51
Suppose -3*t = 0, 2*f + 2*t = 4*f - 164. Suppose 79*z - f*z + 237 = 0. Suppose 0 = 18*o - 155 - z. What is the remainder when o is divided by 4?
1
Let a(s) = 23*s**2 + 80*s - 159. Calculate the remainder when 315 is divided by a(2).
36
Let b(c) = -c**3 - 108. Let z be b(0). Let x(m) = 8*m**2 + 4*m + 10. Let l be x(-2). Let y = l - z. What is the remainder when y is divided by 24?
22
Let k(v) = 210*v**2 + 2*v + 1. Let r be k(-1). Let u = r + -141. Let c = 77 - u. Calculate the remainder when 17 is divided by c.
8
Let s be 5 + (-5 + 1)/4. Calculate the remainder when (-1575)/(-14) - s/(-8) is divided by 38.
37
Let z = -4423 + 4434. Calculate the remainder when (-2)/(-8) + (-630)/(-8) is divided by z.
2
What is the remainder when (-2 - 10*33)*16/64*-4 is divided by 139?
54
Let a(l) = 26*l - 188. What is the remainder when 8683 is divided by a(15)?
199
Let m = -757 - -757. Suppose -29*r + 3928 + 14893 = m. Calculate the remainder when r is divided by 25.
24
Let g(a) = 3*a**2 + a - 3. Suppose -2*i + z = 2*z - 481, 4*z + 263 = i. Calculate the remainder when i is divided by g(-4).
38
Suppose -3 - 7 = -2*v + 3*k, -4*v + k = -40. Let a = v + 2. Suppose -a*m + 655 = -34. What is the remainder when m is divided by 7?
4
Let h = 442 + -315. Let y be (-2)/(-11) - (-20)/(-110). Suppose -4 = 4*j, y = -t - 0*t - 3*j + 13. What is the remainder when h is divided by t?
15
Let v = -56 + 16. Let j be ((-132)/99)/((-4)/177). Let d = v + j. What is the remainder when 93 is divided by d?
17
Suppose -243 = -350*g + 323*g. Calculate the remainder when 3275 is divided by g.
8
Suppose 0 = -3*l + 5*o + 19, -o - 5 = -6*o. Let p(b) be the third derivative of -3*b**4/8 + 17*b**3/3 - b**2. What is the remainder when p(-5) is divided by l?
7
Let l = -461 - -483. Let j(o) = -4*o - 5. Let u be j(-2). Suppose u*d = -5*m + 3*m + 24, d = 4*m - 6. What is the remainder when l is divided by d?
4
Let k(y) be the second derivative of 2*y**4/3 + 5*y**3/3 + 9*y**2/2 + 37*y + 2. Calculate the remainder when k(-3) is divided by 19.
13
Let s(a) = -6*a**3 + 39*a**2 - 11*a - 10. Calculate the remainder when 3035 is divided by s(6).
27
Calculate the remainder when 42900/32 + 0 + (-183)/(-488) is divided by 230.
191
Let r = 22 + 6. Let d = 179729 - 179657. What is the remainder when d is divided by r?
16
Let t = 514 + -412. Calculate the remainder when t is divided by 26.
24
Let m = -573 + 948. Suppose -2*i - 1 = y + i, -3*i = 3*y - 9. Suppose -4*b + 8*a - 5*a = -231, -b + y*a = -79. What is the remainder when m is divided by b?
51
Suppose 115650 = -61*h + 151*h. What is the remainder when h is divided by 319?
9
Let v = -22 + 1. Let r = 108 - 93. What is the remainder when (-1)/(1/(2*v)) is divided by r?
12
Let l(w) = w**2 + 10*w - 21. Suppose 33 = -2*p + 5*r, -4*p + 1 - 31 = 2*r. Let k be l(p). Let d = k - -34. What is the remainder when 19 is divided by d?
3
Let o(k) = 383*k**2 + 12*k - 10. Calculate the remainder when o(1) is divided by 93.
13
Suppose 185*k - 164*k = 2814. Calculate the remainder when 1062 is divided by k.
124
Suppose -5*t + 5*g + 927 = 4*g, 0 = 2*t - 6*g - 354. Calculate the remainder when 18598 is divided by t.
184
Suppose 53 = -34*w + 203 + 530. What is the remainder when w is divided by 11?
9
Let n be ((-3065)/(-10))/((-3)/(-6)). Let b = n + -492. What is the remainder when 603 is divided by b?
119
Suppose 0 = b - v - 43, 0 = -b + 2*b - 5*v - 55. Suppose -8*a - b = -10*a. What is the remainder when 238 is divided by a?
18
Let z(v) = v**3 + 4*v**2 - 5*v + 3. Let n be z(-5). Suppose -w + 16 = 7*x - 2*x, w - 37 = 2*x. What is the remainder when w is divided by (16 + -13)/(n/8)?
7
Suppose 4*t + 5*w = 26, 5*w + 77 = 67. Calculate the remainder when 592 is divided by t.
7
Suppose -25*b - 5357 = -76*b + 1069. Calculate the remainder when 317 is divided by b.
65
Let x(w) = -w**3 - 8*w**2 - 7*w - 5. Let y be x(-7). What is the remainder when 128 is divided by -3 + 9 + 5 + y?
2
Let l(x) = 13*x - 34. Let w(a) = -5*a. Let v = 60 - 61. Let q be w(v). What is the remainder when 59 is divided by l(q)?
28
Suppose 749 = -20*n + 1749. Calculate the remainder when 3648 is divided by n.
48
Let i(j) = -63*j + 36. Calculate the remainder when 404 is divided by i(-1).
8
Suppose 0 = -0*t + t + 4*i - 16, t + 3*i - 12 = 0. Suppose t = 7*q - 2*q - 125. What is the remainder when 48 is divided by q?
23
Let u be (-4)/(-5)*(-10)/(-4). Let w = 2939 - 2916. Suppose 0 = f - u*m + 6*m - w, 5*m + 46 = 2*f. What is the remainder when f is divided by 6?
5
Suppose -3*s + 76 + 20 = 0. Suppose 29 = 37*r - 8. Calculate the remainder when ((-693)/22)/(r/(-2)) is divided by s.
31
Calculate the remainder when 783 is divided by 27/36*-2*-8 - -5.
1
Suppose -94 = -2*w - 4*m, -4*w + 8*w + 3*m = 198. What is the remainder when 90 is divided by w?
39
Suppose 14*z - 3450 = -1098. Calculate the remainder when 47 is div