-218)/8 + 3/12. Suppose 0 = -5*a + 160 + 55. Let w = a + n. Calculate the remainder when 60 is divided by w.
12
Let k(g) = -g**3 + 16*g**2 - 5*g + 19. Suppose -80 = 4*v - 14*v. What is the remainder when k(v) is divided by 12?
11
Let c = -476 - -468. Calculate the remainder when c/(-36) - (-1160)/45 is divided by 7.
5
Suppose -2*m + 116 = 2*k, 2*k + 104 = 2*m + k. Suppose 0 = -5*t + r + 151, -r = 2*t - 12 - m. Calculate the remainder when 151 is divided by t.
27
Let v = -16 + 19. Let j be ((0 - -1) + (-5)/v)*231. Let g = 252 + j. What is the remainder when g is divided by 25?
23
Suppose -4*f - 3*b = -292 - 25, -5*f + 5*b + 405 = 0. Calculate the remainder when 3118 is divided by f.
78
Let m = 8838 + -8827. What is the remainder when 2/(-4) + (-436)/(-8) is divided by m?
10
Suppose -5*y = 10, 4*r + 5*y - 3*y = 2868. Calculate the remainder when r is divided by 71.
8
Let m(f) = -2*f - 2. Let k(g) = 37*g + 172. Let s(q) = k(q) + 4*m(q). What is the remainder when 151 is divided by s(-5)?
18
Suppose -9*q + 4*q = -3*h + 49, -4*q = 20. Let g = -1579 + 2228. What is the remainder when h is divided by g/413 - 4/7?
0
Suppose 40 = 2*f - 2*z, 0*z + 87 = 4*f + 3*z. What is the remainder when (-194)/388 - (-2 - 262/4) is divided by f?
4
Suppose -1688 = -4*c + 8*c - z, -4*z = -2*c - 844. Let i = 428 + c. What is the remainder when (12/2)/(-2)*-3 is divided by i?
3
Let d(v) = v**3 + 119*v**2 + 121*v + 391. Calculate the remainder when 170 is divided by d(-118).
22
Suppose -17*n = -20*n + 24. Suppose -693 = n*i + 539. Let p = -97 - i. Calculate the remainder when p is divided by 20.
17
Let p(j) = -j**3 - 7*j**2 + 6*j + 18. Suppose 2*y + 4*a - 2 - 2 = 0, 4*y + 5*a = -7. Calculate the remainder when p(y) is divided by 21.
13
Let z(i) = 3*i + 53. Let p be z(-10). Let r = -19 + p. Calculate the remainder when -7*r/((-16)/20) is divided by 19.
16
Let h be (-21)/(4/(-30) + 451/(-330)). What is the remainder when 79 is divided by (20/h)/(1*1/28)?
39
Let v = 178 + -110. Calculate the remainder when v is divided by ((-234)/(-130))/((-2)/(-20)).
14
Let o = 4268 - 4119. Calculate the remainder when o is divided by 131.
18
Suppose 8*q = 3*q + 20. Suppose -q*x + 4 = 0, -x - 3*x = -5*b + 51. What is the remainder when b is divided by 1*((-12)/10)/(32/(-80))?
2
Let f = 2580 + -2552. Calculate the remainder when 138 is divided by f.
26
Let q(y) = -y**3 - 18*y**2 + 23*y + 77. Let c be q(-19). Let k(p) = 10*p**3 - 2*p**2 + 11*p - 10. Calculate the remainder when k(c) is divided by 6.
3
Suppose m + 345 = 5*r, 2*r + 170 = -4*m + 308. What is the remainder when ((-32)/(-10))/(24/2580) is divided by r?
68
Let w(h) = -11*h - 70. Calculate the remainder when w(-19) is divided by 71.
68
Let f = 21960 - 21934. Calculate the remainder when 5121 is divided by f.
25
Let j be (107/3)/((-1)/(-15)). Let a = j - 368. Suppose 79 - 40 = k + 5*w, w - 69 = -2*k. What is the remainder when a is divided by k?
31
Let o(w) be the third derivative of w**5/60 - w**4/8 - 392*w**3/3 + 11*w**2. Let m be o(0). What is the remainder when 35 is divided by m/(-80) - (-8)/(-10)?
8
Let p = -26 - -54. Let l be (7/21)/(2 + (-47)/24). Suppose o + 2*o - 24 = -4*d, o + 3*d = l. What is the remainder when p is divided by o?
4
Suppose -n - 228 = -4*z - 740, -3*n - 5*z + 1587 = 0. What is the remainder when n is divided by 4?
0
Suppose 2*s = -2*p + 39 + 19, -5*p + 147 = 4*s. Let b = 6662 - 6545. Calculate the remainder when b is divided by p.
24
Let t = -46 + 50. Suppose u + 6 = t*u. Suppose 3*q = -2*q, -u*q - 120 = -5*n. Calculate the remainder when 93 is divided by n.
21
Let x(m) = -20*m - 40. Let g be x(-2). Suppose -14*l + 21*l - 56 = g. What is the remainder when 29 is divided by l?
5
Suppose z + d = -0*z + 538, -z - 2*d = -540. Let b = -488 + z. Calculate the remainder when 175 is divided by b.
31
Let x(g) = 2*g**3 - 3*g**2 + 2*g - 3. Suppose -5*o + 3*t - 6715 + 7400 = 0, 5*o + 2*t = 660. Calculate the remainder when o is divided by x(3).
14
What is the remainder when 4/11 - (-1576813)/979 is divided by 52?
51
Let m = 2869 + -2833. What is the remainder when 178 is divided by m?
34
Let d(s) = 9*s**3 - 3*s + 4. Let f be d(1). Suppose 0 = -2*o + f*o + 1664. Let i = o + 338. Calculate the remainder when i is divided by 12.
10
Let v(g) be the second derivative of -g**3/6 + 12*g**2 - g - 53. What is the remainder when v(-20) is divided by 5?
4
Let t(g) = g + 12. Suppose m = -m + 24. Suppose 0 = 2*h + h + m. Calculate the remainder when 30 is divided by t(h).
6
Suppose 0 = 4*r - 2*p - 266, -r + 2*p = -2*r + 69. Calculate the remainder when r is divided by (-196)/(-10) - (-224)/(-140).
13
What is the remainder when -378*(-15 - (-688)/48) is divided by 93?
66
Suppose 3*g + 69 = 4*r, 5*r + 3*g - 69 = -3. Let k = -43 - -64. Calculate the remainder when k is divided by r.
6
Suppose -314*p + 287*p + 1080 = 0. What is the remainder when 279 is divided by p?
39
Suppose 3*j - 218 = 2*l, 49*j + 157 = 51*j + l. Calculate the remainder when 447 is divided by j.
67
Suppose 0*q + 8 = -8*q. Calculate the remainder when q*(1/3 + (-1824)/72) is divided by 13.
12
Let l = -49 - -40. Calculate the remainder when 308/12 + 4/(-6) is divided by l/6*28/(-3).
11
Suppose -3*t - l + 345 = 0, 11 + 562 = 5*t + l. Let u = t - 77. Suppose 5*x - k - 102 = 0, k + 42 = -4*x + 6*x. Calculate the remainder when u is divided by x.
17
Let b(s) = 104*s + 1254. What is the remainder when 556 is divided by b(-12)?
4
Let s(p) = 2*p**2 + 16*p + 24. Let d be s(-6). Suppose v + 2*o - 47 = 0, 0*v - v - 4*o + 45 = d. Calculate the remainder when 293 is divided by v.
48
Calculate the remainder when (111 - -1)/(-4 + 5) is divided by -7 - (-372)/48 - 1*(-1832)/32.
54
Let v(n) = n**2 + 6*n - 5. Suppose -4*y = -9*y + 10. Suppose 4*j - 2*i - 46 = 0, j - y*j + 3*i = -24. Calculate the remainder when v(j) is divided by 33.
31
Suppose -13*t + 7*t + 18 = 0. Suppose -3*d = -d - 16. Suppose -6 = 2*v - d. What is the remainder when t is divided by v?
0
Let o = 89 + -48. Let j be 0 - (20/(-5) + 2). Suppose -2*n + j*w - 4*w + 20 = 0, -4*n + 20 = -w. What is the remainder when o is divided by n?
5
Let w = 945 - 634. Suppose -36*s = -49 - w. What is the remainder when 81 is divided by s?
1
Suppose 0 = k - 4, 0 = -j + 6*k - k. Suppose -4*a + 12 = -2*a + 4*m, -5*a + j = 5*m. What is the remainder when 13 is divided by a?
1
Suppose q = -4, 36 = 8*d - 20*q + 23*q. Calculate the remainder when 477 is divided by d.
3
Suppose -6563 + 1205 = 22*x - 79*x. Calculate the remainder when x is divided by 6.
4
Suppose 0 = -481*d + 506*d - 950. Calculate the remainder when 766 is divided by d.
6
Suppose 0*q - 3*q = -18. Suppose -34 = -q*f + 140. Calculate the remainder when 109 is divided by f.
22
Let j = 1542 + -1386. Calculate the remainder when j is divided by 3.
0
Let a be 4/30 - (-7098)/90. Let v = a - 62. Let k = 105 - v. Calculate the remainder when k is divided by 23.
19
Let c = 7 - 17. Let k(x) = -x**3 + 6*x**2 + 33*x - 142. Let v be k(4). Let z = v - c. What is the remainder when 158 is divided by z?
30
Let u(h) = h**2 - 668*h + 1705. Calculate the remainder when u(0) is divided by 1703.
2
Let s be (-5 - 26/(-10))/(2/75). Calculate the remainder when 18/(-4)*1*-4 is divided by (100/s)/((-2)/9).
3
Let t be (-37)/2 + (-10)/20. Let r = t + 32. Suppose -4*x = 3*h - 18, -h - 4 = -3*x + 3. Calculate the remainder when r is divided by x.
1
What is the remainder when ((-4)/(-7))/((-220)/(-17710)) is divided by 12?
10
Calculate the remainder when 4/(-30) + 26832/90 + -2 is divided by 44.
32
Suppose 84976 = 59*t - 54913. What is the remainder when t is divided by 590?
11
Let l(f) = -19*f - 5. Let k be l(-5). Let i = k - 127. Let q = i - -46. What is the remainder when q is divided by 6?
3
Let x(v) = -v**2 - 3*v + 6. Let j be x(7). Let w be (0 - 7/14)*4. What is the remainder when 39 is divided by 21/w*j/48?
11
Suppose 2089*j + 7704 = 2107*j. What is the remainder when 1312 is divided by j?
28
Let s = 1797 - 1779. Suppose 3*p + 2*z = 28, -5*p - z - 28 = -77. Calculate the remainder when s is divided by p.
8
Let j = 59 - 57. Suppose -2*x = d - x - 23, j*d + 3*x = 45. Suppose 91*u = 88*u + d. Calculate the remainder when u is divided by 6.
2
Let i(y) = y**2 + 269*y - 2194. What is the remainder