d = 111 + p. Calculate the remainder when 27 is divided by d.
10
Let c(q) = -q**3 - 18*q**2 + 16*q + 15. What is the remainder when 717 is divided by c(-19)?
69
Let b = 3521 - 2372. Calculate the remainder when b is divided by 16.
13
Let x = 2211 - 2203. What is the remainder when 68 is divided by x?
4
Suppose -137 = -19*y - 4. Let g = 164 + -87. Suppose 0 = 5*t - 4*h - 84 - 26, 4*t - g = h. What is the remainder when t is divided by y?
4
Suppose -4*s = -3*v - 1348, -4*v + 2*s - 537 = 1267. What is the remainder when 87 is divided by (-6)/30 + v/(-10)?
42
Suppose -2*g + 2*f = -106, 0 = -5*g - f - 0*f + 277. Suppose g = 2*o - 1. Let y = o + -5. What is the remainder when 67 is divided by y?
21
Suppose -a + 11 = -26. Suppose a = 3*n - 53. Suppose 2*u = h - u - 14, 3*h + 3*u = n. Calculate the remainder when h is divided by 7.
4
Let f(d) be the second derivative of -d**4/12 - d**3 + 2*d**2 + 9*d. Let o be f(-7). Calculate the remainder when 18 is divided by (o/(-6) - 4)*-2.
4
Let s(u) = -3*u**2 - 75 + 82 + 3*u - 2*u**3 - 7*u**2. Calculate the remainder when s(-6) is divided by 23 + -3 + (0 - -1).
19
Suppose -36*j + 30 = -33*j. Suppose -j*r + 11*r - 66 = 0. Calculate the remainder when r is divided by 35.
31
Suppose 162 = -0*w + 3*w. Calculate the remainder when w is divided by 3.
0
Let h(k) = k**3 - 3*k**2 + 3*k - 4. Let n be h(3). Suppose -2*d + 630 = n*d. What is the remainder when d is divided by 31?
28
Let k = 554 + -225. What is the remainder when k is divided by 55?
54
Let u = -44 - -791. Calculate the remainder when u is divided by 11.
10
Let k = -493 - -595. What is the remainder when 607 is divided by k?
97
Let l = 10 + 21. Suppose l = 2*b - b. Suppose 27 + 149 = 3*f + 2*d, 234 = 4*f + 3*d. What is the remainder when f is divided by b?
29
Let o be (120/(8 - 4))/2. Let i(k) = -2*k + 48. What is the remainder when 71 is divided by i(o)?
17
Let o = 16 - -49. Let s be 135/27*(-2)/(-5). Calculate the remainder when o is divided by ((-884)/(-39))/(s/3).
31
Calculate the remainder when ((-197)/(-4) - 3)/(2/8) is divided by 7.
3
Suppose 2*h = 3*h. Let j be (6 - (h - -2))*1. Suppose -3 = -w - 0*w, -2*o + 50 = -j*w. Calculate the remainder when o is divided by 8.
7
Let z = 99 + -71. Suppose z = v + 3*v. What is the remainder when (-84)/(-7)*(-4)/(-3) is divided by v?
2
Suppose 15*h = 11*h + 64. Let m = -7 + h. Let c(s) = 15*s**3 - 2*s**2 + s. Calculate the remainder when c(1) is divided by m.
5
Let g = 13 + -7. Calculate the remainder when 24 + 27*(-14)/42 is divided by g.
3
Suppose -3*h = -77 + 11. Suppose -20 = 3*v - 2. Let c(w) = -w + 2. What is the remainder when h is divided by c(v)?
6
Let r(b) = 5*b**2 - 6*b + 5. Let k be r(1). Suppose k*u = 14*u - 430. Calculate the remainder when u is divided by 13.
4
Let u = 19 - 27. What is the remainder when 114/10 + u/20 is divided by 4?
3
Let z(h) = 3*h - 2. Let u = -3 + 8. Suppose 113*w - 26 - 39 = 100*w. What is the remainder when z(u) is divided by w?
3
Calculate the remainder when ((-13)/((-650)/20))/(2/565) is divided by 29.
26
Let u = -51 - -73. Suppose 17*f - 535 = 12*f. Calculate the remainder when f is divided by u.
19
Let t(a) be the second derivative of 0 - 4*a**2 + 1/20*a**5 - 7*a - 1/3*a**4 + a**3. Calculate the remainder when 76 is divided by t(4).
12
Suppose 10*u = -2*r + 9*u + 67, -2*u = 3*r - 99. What is the remainder when 104 is divided by r?
34
Let k(j) = -2*j**3 - 5*j**2 - j + 2. Let u = -17 + 26. Calculate the remainder when k(-3) is divided by -1*u*(17 + -18).
5
What is the remainder when 86*(-7 + (-5 - -6))/(-2) is divided by 20?
18
Let o(w) = 25*w + 2. Calculate the remainder when o(10) is divided by 15.
12
Let i(a) = 3*a + 2. Suppose 0 = -d + 3*v - 12, 24 = d + 2*d + 3*v. Suppose -13 = -d*f + 5. What is the remainder when i(4) is divided by f?
2
Let u = -1567 + 1667. What is the remainder when 180 is divided by u?
80
Let a be (-68)/2*(2 - 1). Calculate the remainder when 8 is divided by 44/(-55) + a/(-5).
2
Let i = 12 + -10. Suppose r + 0*r - 4*s + 51 = 0, 5*r + 183 = i*s. Let u = 57 + r. What is the remainder when u is divided by 6?
4
Suppose 2 = 3*v - 28. Let c = -21 + 26. Suppose -1 = -2*l + c. What is the remainder when v is divided by l?
1
Suppose 4*a = 3*a + 51. What is the remainder when a is divided by 104/39*66/8 - 4?
15
Suppose -7*b = -2*b - 990. Calculate the remainder when b is divided by 20.
18
Let f(v) = -v**3 - 3*v**2 + 5*v - 6. Calculate the remainder when 47 is divided by f(-5).
9
Suppose -4*n - 73 = -q + n, q - 46 = -4*n. What is the remainder when 289 is divided by q?
57
Suppose -4*l = -2*l - 6. Suppose -l*d + 82 = -4*h, 6*d - 4*d = -2*h + 36. Let o = d + -15. Calculate the remainder when 12 is divided by o.
5
Suppose -29*x - 75 = -32*x. Calculate the remainder when x is divided by 22.
3
Let c(i) = -i + 26. Let n be 106/10 + (4/(-5))/(-2). Calculate the remainder when 88 is divided by c(n).
13
Let m = -134 - -199. Let a = 10 - 16. Let l = 28 + a. What is the remainder when m is divided by l?
21
Let y(t) = -4*t**3 - 11*t**2 - 2*t - 1. Let l be y(-3). What is the remainder when 38 is divided by (-4)/l + 0 - (-163)/7?
15
Let w = 4 + -5. Let q be 2 + 1 + (w - -3). Suppose d - 32 = -4*o - 1, 4*d + q*o = 69. Calculate the remainder when 42 is divided by d.
9
Suppose 0 = g + 3*k - 16, -22 - 19 = -5*g - 2*k. Suppose -g = -l - 6. Let i(t) = t - 2. Calculate the remainder when i(3) is divided by l.
0
Let p(n) = 2*n**2 + 17*n + 11. Let y be p(-9). Suppose -5*g + 0 = -y. Calculate the remainder when 15 is divided by g.
3
Suppose -2*n + 5*n - 15 = 4*r, 0 = r. What is the remainder when 29 is divided by n?
4
Let p(m) = -2*m**2 + 11*m - 7. Suppose -4*g + 13 = -2*g + j, -4*j + 36 = 4*g. What is the remainder when 11 is divided by p(g)?
1
Suppose -6 = 4*l - 6*l. Suppose -l = 4*h - 11. Calculate the remainder when 14 is divided by h*3/(-6) + 9.
6
Let j(a) = -17*a + 127. What is the remainder when (418/2)/(-3 + 4) is divided by j(5)?
41
Calculate the remainder when ((-40)/10 - -2)*265/(-2) is divided by 30.
25
Let f = -19 - -24. Let l = 6 - f. Let k = 7 - 5. What is the remainder when k is divided by l?
0
Suppose 2*q = s + 25, 0 = 3*s + 4 - 1. Calculate the remainder when 0 - (-49 + (0 - -1)) is divided by (q/(-10))/((-9)/135) + -1.
14
Calculate the remainder when 303 is divided by 22/((-792)/(-621)) - (-6)/8.
15
Suppose 2*l - 71 = 3. Calculate the remainder when 258 is divided by l.
36
Let v(b) = -59*b - 327. Calculate the remainder when v(-6) is divided by 2.
1
Let d = -250 + 278. What is the remainder when 135 is divided by d?
23
Let g be 6/(-12) - 17/4*-2. Suppose -g*s = -1240 + 512. Calculate the remainder when s is divided by 31.
29
Let v = 54 + -49. Suppose 119 = v*i + 4. What is the remainder when 43 is divided by i?
20
Suppose 3*l + 0*l - 48 = 0. Let g(d) = -4*d + 7. Suppose 0*k = -2*k + 5*h - 7, -3*k + 4*h = 14. What is the remainder when g(k) is divided by l?
15
Let t(p) be the third derivative of 6*p**2 - 1/12*p**4 + 2/3*p**3 + 0*p + 0 - 1/120*p**6 - 1/30*p**5. What is the remainder when 35 is divided by t(-3)?
16
Let m(y) = y**2 + 25*y + 125. Calculate the remainder when 67 is divided by m(-21).
26
Suppose p = -4*m + 123, 4*m + 2*p - 127 = 5*p. Suppose 344*s = 343*s + 11. Calculate the remainder when m is divided by s.
9
Let o be (0 - (-22)/(-2)) + 3. Let m = o - -10. Suppose 5*i + 3*s - 87 = 0, 0 = -s - m*s - 3. What is the remainder when 34 is divided by i?
16
Suppose 3*n - x - 52 = 0, -3*n + 7*n - 72 = 2*x. Let y(h) = -h - 5. Let q be y(-5). Suppose -3*a + 164 + 25 = q. Calculate the remainder when a is divided by n.
15
Let c(a) = -5*a - 20. Suppose 3*z = -5*z - 80. Calculate the remainder when 85 is divided by c(z).
25
Let y = 165 + -88. Calculate the remainder when y is divided by (-6)/(-21) + 540/21.
25
Let s(u) = -11*u - 52. What is the remainder when 368 is divided by s(-7)?
18
Let o = 41 + -37. Suppose j = 3*z + 3*j - 65, -o*j = -16. Calculate the remainder when z is divided by 7.
5
Suppose 0 = -4*p + 5*p - 160. Calculate the remainder when p is divided by (-2)/((-24)/(-2)) - 5681/(-138).
37
Let d be 18/(-81) - 11/(-9) - -3. Suppose 2*h = -d, 317 = -5*o + 10*o - h. What is the remainder when o is divided by (-6)/(-4)*64/6?
15
Let q = -347 + 442. What