. Calculate the remainder when x is divided by 20.
17
Let r(y) = 6*y + 10. What is the remainder when 192 is divided by r(2)?
16
Calculate the remainder when (2968/38 - 3) + 14/(-133) is divided by 7.
5
Let q(o) be the third derivative of -o**4/6 + o**3/6 - 7*o**2. Let i be (7/14)/((-1)/8). What is the remainder when 33 is divided by q(i)?
16
What is the remainder when 523 is divided by (-6386)/(-309) - 1/(-3)?
19
Let y(q) = 12*q + 52. What is the remainder when 73 is divided by y(-3)?
9
Suppose 0 = 2*s - 117 + 27. Suppose 3*w - 2*w - s = 0. Suppose 4*m = 149 - w. What is the remainder when m is divided by 14?
12
Let n = -2369 - -2454. What is the remainder when 165 is divided by n?
80
Let k(g) = g**3 + 9*g**2 - 13*g - 7. Let y be k(-10). Suppose -2*o = -4*w + y + 39, -66 = -4*w - 2*o. What is the remainder when 44 is divided by w?
12
Let l(f) = 2*f - 6. Let w be l(6). Suppose -4*k = -s, k = w*k + 2*s - 13. What is the remainder when 0 + 25/k - 4 is divided by 8?
5
Let o = 174 + -87. Let c = 15 + -38. Let l = o + c. What is the remainder when l is divided by 13?
12
Let b = -302 - -322. Suppose -4*n = -5*n + 12. What is the remainder when b is divided by n?
8
Suppose 0 = 5*u - 19 - 31. Let h(d) = d**3 - 20*d**2 + 3*d - 32. Calculate the remainder when h(20) is divided by u.
8
Let d = 580 - 540. What is the remainder when 59 is divided by d?
19
Suppose -10 - 5 = 3*a, 5*a + 55 = 5*y. Suppose 2*h + 812 = y*h. What is the remainder when h is divided by 51?
50
Let s(u) = -u**3 - 17*u**2 - 17*u + 28. Let k be s(-17). Let z = -148 + k. What is the remainder when z is divided by 9?
7
Let w = -7 + 9. Suppose -3*y + 2*y - 230 = -w*l, l = -y + 115. Let x = -58 - -87. What is the remainder when l is divided by x?
28
Let n(y) = 11*y - 104. Calculate the remainder when n(15) is divided by 31.
30
Let t = 535 + -494. What is the remainder when 89 is divided by t?
7
Let h = -12 + 13. Let t be (-1)/(-3) - (-5)/3. Suppose -2*a = t*a - 16. Calculate the remainder when a is divided by h.
0
Let v = 384 + -354. Calculate the remainder when 478 is divided by v.
28
Let f(a) be the second derivative of 31*a**3/6 - 9*a**2/2 + 25*a. Let t(n) = 3*n + 2. What is the remainder when f(2) is divided by t(4)?
11
Calculate the remainder when 1332/7 + 14/(-49) is divided by 67.
56
Suppose 10*u + 10 = 12*u. Suppose -2*z + u*z = 159. Calculate the remainder when z is divided by (-2 - -22) + (-3)/3.
15
Suppose 15*z - 280 = 11*z. Suppose -4*p + c = -56, -c = -5*p + c + z. What is the remainder when 249 is divided by p?
11
Suppose 0 = c + 2*c - 15, -2*n = 4*c - 58. Let l(g) = g + 5. Let u be l(0). Suppose 0 = 3*s - u*s + 10. Calculate the remainder when n is divided by s.
4
Let h(j) = -j**3 + 5*j**2 + 15*j - 1. Let d be 3/6 + (-52)/(-8). Calculate the remainder when 9 is divided by h(d).
3
Suppose 5*r - 10 + 39 = a, a + 2*r - 29 = 0. Suppose 5*b - 4*q - 291 = 0, b = -3*q + 20 + 23. Calculate the remainder when b is divided by a.
26
Let a be 27/12 + 2/(-8). Let r = a + -1. Suppose 0 = 5*v - u - 3, -6 = -13*v + 9*v - u. Calculate the remainder when v is divided by r.
0
Let q(h) = 20*h**2 - h + 1. Let m = -11134 - -11191. Calculate the remainder when m is divided by q(1).
17
Let o = 13 + -19. What is the remainder when (-985)/(-30) - 1/o is divided by (-28)/(-126) + 61/9?
5
Let f(t) = 42*t**3 - t**2 - 11*t + 22. What is the remainder when f(2) is divided by 109?
5
Let l(v) = -v**3 - 3*v**2 + 2. Let r be l(-3). Suppose -r*x + x + 13 = 0. Calculate the remainder when x is divided by 8.
5
Let i(c) = -c**3 + 5*c**2 - c + 4. Calculate the remainder when 28 is divided by i(4).
12
Suppose 9 = q - 3*a - 7, -2*q + 2*a = -16. What is the remainder when ((-10)/7)/((2 - q)/14) is divided by 3?
1
Suppose 4*q - 4*s = 28, -2*q = -3*s + 2 - 19. Suppose 22 - 102 = -q*w. Suppose -8*x = -421 - 195. What is the remainder when x is divided by w?
17
Let a = 18 - -48. Suppose m - 2*m = -a. Suppose -5*j = -2*b - m, -13 - 2 = 5*b. What is the remainder when 33 is divided by j?
9
Let v = -454 - -618. Calculate the remainder when v is divided by 11.
10
Suppose 2*n - 294 = 4*g + 72, -3*n + 550 = -5*g. Suppose 0 = -3*w + 5*q + n, w - 23 - 22 = 5*q. What is the remainder when w is divided by (2/4)/(3/108)?
16
Suppose 0 = 22*n - 1599 - 623. What is the remainder when n is divided by 35?
31
Calculate the remainder when 269 is divided by 7*(-90)/(-21) + 5/(-1).
19
Suppose -5*x + x - 312 = -3*i, 0 = -2*i + 3*x + 209. Calculate the remainder when i is divided by 47.
6
Suppose -x = -12*x + 1067. Calculate the remainder when x is divided by 25.
22
Let l be 8/6*(-27)/(-18). Suppose -l*z = -13 - 25. What is the remainder when 74 is divided by z?
17
Suppose 3*l = 3*i + 2*i + 11, -4*l = -3*i - 11. Let m = l + 12. Suppose 0*d + 120 = 3*d. Calculate the remainder when d is divided by m.
12
Suppose -4 = 2*r - 58. Suppose -r + 319 = 4*i. What is the remainder when i is divided by 15?
13
Let b = 189 + -177. What is the remainder when 31 is divided by b?
7
Let m = -1739 + 1752. What is the remainder when 229 is divided by m?
8
Suppose 10*r = 12*r. Suppose -6*d + 280 + 20 = r. Calculate the remainder when d is divided by 13.
11
Let z be 4115/55 + (-2)/(-11). Let g = -4 + 21. Suppose g = -2*o + z. What is the remainder when o is divided by 16?
13
Let a(z) be the second derivative of -2*z**3 + 7*z**2 - 13*z. What is the remainder when a(-3) is divided by 17?
16
Let y(g) = 3*g + 2. Let b be 3 + 15/3 + -2. Suppose -10 = -b*i + 14. Calculate the remainder when 53 is divided by y(i).
11
Let x(z) = 9*z**2 + 134*z - 39. What is the remainder when x(-17) is divided by 48?
44
Let j = 31 - 28. Suppose -5*v + 44 = 4*l - 5, -4*l = j*v - 47. What is the remainder when 20 is divided by l?
9
Let a = 38 - -23. Calculate the remainder when 118 is divided by a.
57
Let d(c) = 2*c**2 + 100*c + 4. What is the remainder when 230 is divided by d(-50)?
2
Suppose 0 = 3*y - 57 - 138. Let j = -2 - 2. What is the remainder when y is divided by ((j/(-3))/2)/(6/99)?
10
Let b be (-16)/(-2)*3/12. Suppose b*d - 6*w + w = 17, 2*d - 38 = -2*w. What is the remainder when 27 is divided by d?
11
Let g = -5 - -9. Let j = 28 + -22. What is the remainder when (4/j)/(6/63) is divided by g?
3
Let c(y) = -2*y**2 - 12*y + 3. Let t be c(-6). Suppose 2*x + t - 35 = 0. Calculate the remainder when 44 is divided by x.
12
Suppose -6*u + 9*u - 12 = 0. Suppose u*s = 3*w + 122, s + 126 = 5*s - 5*w. What is the remainder when s is divided by 15?
14
What is the remainder when 177 is divided by -5 - ((-265)/(-10))/((-3)/6)?
33
Calculate the remainder when 72 is divided by (-100)/(-950) - (-604)/38.
8
Let f = 15 - 9. Suppose -f*p - 12 = -4*p. What is the remainder when 21 is divided by p/57 + 464/76?
3
Let c(n) = 2*n + 0*n - 5*n + n - 3 + 3*n**2. What is the remainder when 117 is divided by c(-3)?
27
Suppose 2 = 4*t - 18. Suppose 4*m + 3*h = 101, -4*m - t*h + 42 + 65 = 0. Calculate the remainder when m is divided by 6.
5
Suppose -k - 1 = -x, -3*x - 5*k = -14 + 3. Let g be (0 - -1)/(1/x). What is the remainder when 19 is divided by 1/g*-11*-2?
8
Suppose -67*w + 72*w - 40 = 0. Calculate the remainder when 1/((3/87)/1) is divided by w.
5
Suppose 2*l + 74 - 208 = 0. Let g = -53 + l. What is the remainder when 54 is divided by g?
12
Let p(h) = -h**2 + 7*h - 4. Let y be ((-3 - -9) + -3)*2. What is the remainder when ((-8)/(-6) - 2)*-3 is divided by p(y)?
0
Suppose 315 = 16*y - 197. Calculate the remainder when 159 is divided by y.
31
Let k = -1126 + 1155. Let j = 16 - 5. Calculate the remainder when k is divided by j.
7
Let h(s) = -2*s - 2*s + 8 + 8*s + 3*s - 8*s. Suppose -2*k = -0*k + 26. What is the remainder when 39 is divided by h(k)?
18
Suppose 3*m = 3*s + 132, -2*m + 21 = -5*s - 52. What is the remainder when m is divided by 26?
23
What is the remainder when (-72)/(-21)*(-11)/((-242)/12089) is divided by 37?
34
Suppose -7*b = -b - 1692. Let j be (10/(-30))/((-1)/b). Let w = j + -57. What is the remainder when w is divided by 19?
18
Let z(y) = -y**3 - 6*y**2 - 2*y + 1. Let j be z(-6). Let t = 1 + j. What is the remainder when 82 is divided by t?
12
Suppose -2*c - 4 = 0, 0*x - 3*c - 14 = -2*x. Let v(r) = x*r**3 - 4*r**2 - 2 - 7*r + 2*r**2 - 3*r**3 + 6*r**2. What is the remainder when 29 i