00 = 4*d. What is the remainder when p is divided by 72?
65
Let n(y) = -y**3 + 11*y**2 + 38*y + 267. What is the remainder when 1910 is divided by n(14)?
11
Suppose 5*n - 5*t - 71 = -9*t, t = -n + 15. Let z = -51 + 96. Let p = z - 28. What is the remainder when p is divided by n?
6
Suppose 0 = -33*h + 3450 - 13614. Let d be -1 - (-2 - (4 + 1)). What is the remainder when 20 is divided by d/4*h/(-66)?
6
Let x(n) = -5*n**2 + 361*n - 6260. Suppose 4*b - 32 = -12. Suppose -5*t + 0*t = -b. Calculate the remainder when x(29) is divided by t.
0
Let x = 34 + 36. Suppose -u = 4*u - x. What is the remainder when 1/((-1)/(-34)) - (52 - -13)/13 is divided by u?
1
What is the remainder when (-106)/6*99/(-33) is divided by 37?
16
Suppose -2*t = -t + 348 - 21653. What is the remainder when t is divided by 134?
133
Suppose -71*j - 2*j = -4088. What is the remainder when 78 is divided by j?
22
Suppose 0*k + 21 = 7*k. Suppose s = a - 7, s = 5*a - k*a - 9. Let n = -3 - -8. Calculate the remainder when n is divided by a.
1
Let k = 18207 - 17862. Calculate the remainder when k is divided by 22.
15
Let k = -7 - 20. Suppose -2*p + 127 = 3*v, 160 = -11*v + 15*v + 5*p. Let n = v + k. What is the remainder when 69 is divided by n?
15
Suppose 14*i + 36 = 5*y, -27*y + 3*i = -22*y - 47. Let z = 160 - 88. Suppose 14*c - y*c - z = 0. Calculate the remainder when 61 is divided by c.
7
Let f(c) be the first derivative of 2*c**4 - 4*c**3/3 - 7*c**2 + 49*c + 94. What is the remainder when f(3) is divided by 47?
46
Suppose -t = -5*h + 2, 0 = t - 3*h - 3 - 1. Suppose m = -5*w - 0*w + 536, 5*w - m = 534. Let c = -102 + w. What is the remainder when t is divided by c?
3
Let y = 1177 - 806. Suppose -6*u + y = 3*z - u, 4*z + 4*u - 500 = 0. Suppose 36 = -c + z. What is the remainder when c is divided by 24?
19
Let i = -2 - -6. Suppose 1971*u - 1966*u + 74 = w, 4*w - 8 = -4*u. Calculate the remainder when w is divided by i.
2
Let z(i) be the second derivative of i**4/6 + 2*i**3/3 - 6*i**2 - 9*i. Let p be z(-5). Suppose -2*g + 0*g = -p. What is the remainder when 24 is divided by g?
6
Suppose 10*z - 13 = -v + 5*z, 0 = -3*v + z + 7. Suppose -v*u - 174 = -3*o, -262 = -4*o + 2*u - 4*u. What is the remainder when o is divided by 33?
30
Let t(o) = 4*o**2 - 23*o - 60. Calculate the remainder when 463 is divided by t(-3).
13
Let t(r) = -6*r**2 - 391*r - 1087. What is the remainder when t(-62) is divided by 46?
45
Let c = 68 + -63. Suppose 2*y + 3*o + 6 = 0, 6*y - 5*y = o + 2. Suppose 5*v + y*z - 90 = -5*z, -3*z - 15 = 0. Calculate the remainder when v is divided by c.
3
Let z = -8312 - -9230. Calculate the remainder when z is divided by 9.
0
Suppose 10*l - 7 = 9*l. Let w = 10 - l. Suppose -76 = -16*i + 36. What is the remainder when i is divided by w?
1
Suppose -17*d + 69205 + 5935 = 0. What is the remainder when d is divided by 67?
65
Suppose -2*h - 4*f - 13 = -9*f, -71 = 4*h + 5*f. What is the remainder when 214 is divided by (315/2)/5 + 7/h?
28
What is the remainder when (((-3)/2)/((-12)/104) - 44)*-2 is divided by (-2)/5 + 72/5?
6
Let p = 814 + -698. Suppose -854 = -130*h + p*h. Calculate the remainder when 131 is divided by h.
9
Let m(h) be the first derivative of -7*h**2/2 + 24*h - 91. What is the remainder when m(-1) is divided by 16?
15
Let k be (26/(-6))/((-12)/108). Suppose -x - 5*s + 13 = 0, 2*s + k - 12 = x. Calculate the remainder when 159 is divided by x.
21
Let x = -128 + 133. Suppose -38 - 27 = -x*v. Calculate the remainder when 22 is divided by v.
9
Suppose -6*r = -13*r + 2898. Suppose 4*m - r = m. Let s = -122 + m. Calculate the remainder when 56 is divided by s.
8
Let k(j) = 41*j - 235. Let o be k(6). Suppose -380 = -o*b + 49. What is the remainder when b is divided by (22 - 1)/((-6)/(-4))?
11
Suppose 14917*a + 1575 = 14962*a. What is the remainder when 2764 is divided by a?
34
Let d = -1692 - -2826. Suppose 9*v - d = 3*v. What is the remainder when v is divided by 12?
9
Suppose 8*k - 14*k + 84 = 0. Suppose -19*y = -k*y - 375. Calculate the remainder when y is divided by 16.
11
Let n(j) = -j**3 - 11*j**2 - 7*j + 24. Let w be n(-10). Let f be (3/w + 1)*6. Suppose -f*g + 0 = -24. What is the remainder when g is divided by 3?
2
Let j be (-4)/(-18) + (-9)/((-243)/318). Let t = j - -107. What is the remainder when t is divided by 12?
11
Let u(m) = 13*m + 719. Let j be u(-54). Let z(r) = r**2 - 4*r. Calculate the remainder when z(-5) is divided by (-12 + j)*(-2 + 3).
0
Let o = -148 + 449. What is the remainder when (o/(-14))/(2/(-12)) is divided by 33?
30
Suppose -121*h + 124*h = -3*p + 735, 0 = -4*p - 5*h + 980. What is the remainder when p is divided by 49?
0
Let s = 397 - 335. Calculate the remainder when 473 is divided by s.
39
Suppose 18*v + 49 = 11*v. Let h(j) = -4*j - 30. Let k be h(v). What is the remainder when 99 is divided by (0 - -17)/(-1 - k)?
14
Let l(z) = -z**3 + 2*z**2 + 14*z - 20. Let s be l(4). Suppose 5*i = 3*b + 466, -2*b - 209 - 165 = -s*i. Calculate the remainder when i is divided by 29.
8
Suppose -195*u + 176*u = -2489. What is the remainder when u is divided by 6?
5
Suppose -k + 13 = 4*w - 19, 13 = w - k. Let i(f) = f**2 - 11*f + 28. Calculate the remainder when 63 is divided by i(w).
3
Let k = -10795 - -23901. Suppose 38*v - k = 3044. What is the remainder when v is divided by 33?
29
Let f(m) = -35*m - 8. Let v be (-224)/168 + 2/(-3). Calculate the remainder when f(v) is divided by 10.
2
Suppose -2*w + w = -18. Suppose -1 = 3*x - 4*x, 4*x = s - 91. Suppose 0 = s*t - 96*t + 66. What is the remainder when t is divided by w?
12
Let q(f) be the first derivative of 93*f**2/2 + 43*f - 201. What is the remainder when q(1) is divided by 36?
28
Suppose 4*i + 15 = -a - 32, 0 = -5*i - 20. Let c = a + 34. Suppose -l = o - 5, -2 = o - 2*o - 2*l. What is the remainder when o is divided by c?
2
Suppose -5*j = 4*h - 23, 4*h + 7*j = 6*j + 11. Calculate the remainder when 62 is divided by (39/3*-1)/(h - 3).
10
Let x be 0 - (117/(-27) - (-2)/6). Suppose 3*v + 5 = 2*t, -x*v + 24 = t + 4*t. What is the remainder when 3810/42 - t/(-14) is divided by 19?
15
Calculate the remainder when 309 is divided by ((-264)/(-26))/(1416/12272).
45
Let y(h) = -h**2 - 221*h - 4156. Calculate the remainder when 7477 is divided by y(-21).
41
Let y be (31/2)/((-126)/(-24) - 5). Let j = y + -66. Let n(x) = -7*x + 9. What is the remainder when n(j) is divided by 21?
16
Suppose -445*i + 458*i = 20267. What is the remainder when i is divided by 92?
87
Let r be ((-160)/(-70))/((-2)/(-7)). Suppose -w + 5*o + 70 - r = 0, 0 = 2*o + 2. What is the remainder when w is divided by 30?
27
Suppose 103*p - 2221 = -4*n + 108*p, 5*n + 3*p - 2767 = 0. Calculate the remainder when n is divided by 109.
9
Suppose -3*f + 3*d = -816, 0 = -3*f + 5*d + 58 + 758. What is the remainder when f is divided by 65?
12
Let r = 301 + 124. What is the remainder when r is divided by 61?
59
Let o(p) = 218*p**2 - 872*p + 4. Let s(d) = 2*d**2 - 2*d - 9. What is the remainder when s(-3) is divided by o(4)?
3
Suppose 269 = -7*b + 66. Suppose -2*p = -7*p + 175. Let n = b + p. Calculate the remainder when 11 is divided by n.
5
Suppose 2*q + 6211*u = 6217*u + 378, 0 = q + 4*u - 119. Let r = -30 + 50. Calculate the remainder when q is divided by r.
19
Let d(m) = 2*m**2 + 21*m - 27. Let q(l) = -7*l - 32. Calculate the remainder when d(-12) is divided by q(-5).
0
Let i = -24 + 86. Suppose 17*w + 328 = -335. Let c = i + w. Calculate the remainder when 87 is divided by c.
18
Let h(v) = -v**2 + 54*v - 547. What is the remainder when 570 is divided by h(27)?
24
Suppose 3776 = 269*o - 95*o - 4054. What is the remainder when o is divided by 28?
17
Suppose 1482 = 4*u - 5*a + 366, 0 = -3*u + 2*a + 837. Let c = u + -15. What is the remainder when c is divided by 67?
63
Suppose -2*y + 6*y + a - 613 = 0, -4*y = 3*a - 615. What is the remainder when y is divided by ((-57)/(-9))/((-41)/(-123))?
1
Let q = -8 - -42. Suppose -4*m = -q - 46. Suppose 0 = m*v - 15*v - 685. Calculate the remainder when v is divided by 28.
25
Let q(f) = -13*f - 49. Let j(o) = o**2 - 22*o + 64. Let t be j(18). What is the remainder when 109 is divided by q(t)?
54
Suppose -3064 = -5*r + 4*g, 3*g - 318 = -4*r + 2158. Suppose 30*j = 22*j + r. Calculate the remainder when j is di