.
14
Let v = 16 + -6. Let c(t) = t**3 - 8*t**2 - 9*t + 4. Calculate the remainder when c(v) is divided by 29.
27
Let a(w) = -4*w + 3. Suppose -3*t - 6*j + 497 = -j, -5*t = -5*j - 895. Suppose 6*m - t = 3*m. Calculate the remainder when m is divided by a(-3).
13
Let s be (4/(-2))/((-12)/66). Suppose 3*t + 5 - s = 0. What is the remainder when t is divided by 2?
0
Suppose 0 = -3*a - t + 94, 2*t = -3*a + 5*t + 114. Suppose 0 = 3*k - r - a - 48, 4*k - 4*r - 100 = 0. What is the remainder when 110 is divided by k?
26
Let x = 63 + -47. Suppose 0 = 3*a - p - 39, -a + 0*p = -p - 15. What is the remainder when x is divided by a?
4
Calculate the remainder when (-2)/(-1 + (-195)/192 + 2) is divided by 44.
40
Suppose -h + 18 = 5*t, -2*t - 9 = -0*t - 5*h. Suppose -15 + 115 = 2*p. What is the remainder when p is divided by 41/t - (78/(-18) - -5)?
11
Let r = -4 + 2. What is the remainder when 88/20 - r/(-5) is divided by 8/12 - 7/(-3)?
1
Suppose -7*d = 4*d - 121. What is the remainder when 42 is divided by d?
9
Suppose -9*f - 165 = -20*f. What is the remainder when 54 is divided by f?
9
Suppose 5*a - 67 = 2*a + 4*g, 3*a = 3*g + 72. What is the remainder when (2 + -1)*(-1304)/(-24) - 10/(-15) is divided by a?
26
Let y(q) = -6*q - 21. Suppose -2*c = 3*u + 11, -6*c - 14 = 4*u - 3*c. Suppose 6*o - 220 = o. Calculate the remainder when o is divided by y(u).
8
Let w be (7/(21/4))/(2/(-6)). What is the remainder when 7 is divided by -3 + -1 + 5 - w?
2
Let u = -442 - -691. What is the remainder when 11/55 + u/5 is divided by 13?
11
Suppose -k = -3*k + 8, -2*k = 3*t + 67. Let x = -47 - -9. Let v = t - x. Calculate the remainder when 37 is divided by v.
11
Let x = 24 + -25. What is the remainder when 63 is divided by (-1)/x*17 + (6 - 10)?
11
Let k(l) = -143*l + 17. Calculate the remainder when k(-2) is divided by 17.
14
Suppose 5*d - 242 = -n, 96*d + 5*n - 154 = 93*d. Calculate the remainder when d is divided by 25.
23
Let s(t) be the first derivative of 5*t**2 + 2*t - 12. Let j be s(1). Let k(m) = 2*m**2 - 20*m + 29. What is the remainder when k(j) is divided by 26?
25
Suppose -5*t - 6*t = -308. Suppose -k + w = -5, 5*k - 23 = -3*w + 42. What is the remainder when t is divided by k?
8
Let o(x) = -3*x + 8. Calculate the remainder when o(-2) is divided by -1 + 2/6 + 29/3.
5
Let d = -79 + 127. Let b = d - 33. Calculate the remainder when b is divided by 5.
0
Let w(v) = 5*v**3 - 8*v**2 - 6*v + 8. Calculate the remainder when w(3) is divided by 2.
1
Let n(t) = -t**3 + 44*t**2 - 39*t - 31. Calculate the remainder when n(43) is divided by 30.
21
Let h = 98 - 86. Calculate the remainder when 839 is divided by h.
11
Suppose 0 = -10*g - 60 + 400. What is the remainder when 128 is divided by g?
26
Suppose b + 7 = 4*d, 3*d + 0*b - 2*b + 1 = 0. Suppose -23 = -v - 4*o, -7*o = -3*v - 3*o - 11. Calculate the remainder when 4 is divided by 1/d + 8/v.
1
Let h = -6 - -10. Let w be ((-2)/(-4))/((-1)/(-4)). Suppose 0 = -h*s - 3*n + 39, 3*s - 13 = w*n - 5. What is the remainder when 23 is divided by s?
5
Let b(o) = 28*o + 155. Suppose 2*q = -2*x + 10, 2*q - 4*x = -0 + 4. Calculate the remainder when b(-5) is divided by q.
3
Let b(j) = 6*j + 9. Let t be b(6). Suppose -p = 2*p - t. Calculate the remainder when 72 is divided by p.
12
Let u = 7 + -12. Let a = u + -9. Let r = a + 24. What is the remainder when 16 is divided by r?
6
Suppose -2*m + m - 4 = 0. Let g be 4*(5 - (m - -8)). Calculate the remainder when 16 is divided by 1/(g - 44/12).
1
Suppose 3*y - 2*x - 43 = 0, 5*x - 71 = -126*y + 123*y. What is the remainder when 424 is divided by y?
16
Suppose 0 = 35*h + 152 - 1622. What is the remainder when 503 is divided by h?
41
Let c = -353 + 511. Calculate the remainder when c is divided by 41.
35
Let t be (2/(-6))/(3/(-36)). Suppose 3*l - 6 = -v, -3*v - 16 = -t*v + 2*l. What is the remainder when 17 is divided by v?
5
Suppose -4*k + 16 = 0, 27*w - 28*w + 4*k = -14. Calculate the remainder when 264 is divided by w.
24
Suppose 3 = 2*v + 1, 2*k - 291 = -v. Let t = k - 113. Suppose 4*q - 125 = 3*q. Calculate the remainder when q is divided by t.
29
Calculate the remainder when -4*6/(-48) - (-185)/2 is divided by 19.
17
Let o be 1030/(-20) + 6/4. Calculate the remainder when ((-20)/o)/(2*3/690) is divided by 7.
4
Suppose 2 = -h + 7. Suppose 24 = h*x - 1. What is the remainder when x is divided by 4?
1
Suppose -2*y + 470 - 122 = 0. What is the remainder when y is divided by 30?
24
Suppose -2*l - 96 = -4*l. Suppose 0*m + l = -4*m. What is the remainder when 2/(-8) + (-387)/m is divided by 17?
15
Let h(b) = 2*b**3 - 6*b**2 + 2*b + 41. Calculate the remainder when h(5) is divided by 22.
19
Let k(j) = j**3 - 12*j**2 + 14*j + 2. What is the remainder when k(11) is divided by (0/2 + 18)/2?
8
Let p = -23 + 37. Suppose b + 6*t - t = 12, b + 4*t = p. Suppose -u + 5 = -b. Calculate the remainder when u is divided by 7.
6
Suppose 0 = -29*k + 30*k - 3. Suppose x + x = 4. Suppose -x*v - 2*l - 3 = -7, -26 = -4*v + 2*l. Calculate the remainder when v is divided by k.
2
Suppose -2*q + 4*q - 200 = -5*c, 0 = 3*c - q - 131. What is the remainder when c is divided by -4 + -9 + 23 - 5/(-1)?
12
Let d(v) = -v**2 - 10*v - 9. Let m be d(-6). Let o = 14 - m. What is the remainder when 40 is divided by -1 + o*(-10 + -2)?
7
Let m(t) = t + 47. Suppose 3 = -x - 23. Let d = -17 - x. What is the remainder when m(-12) is divided by d?
8
Suppose -3*v - 75 = -285. Suppose -v*d - 152 = -74*d. Calculate the remainder when d is divided by 8.
6
Let q(i) = i**3 + 8*i**2 + 3*i - 17. Let k = -154 - -147. What is the remainder when 42 is divided by q(k)?
9
Suppose -26*m = -22*m. Suppose 4*y - 156 = -4*q, m = -4*y - 3*q + 100 + 51. What is the remainder when 133 is divided by y?
31
Let r = 238 - 231. What is the remainder when 10 is divided by r?
3
Let u(z) = 16*z - 110. What is the remainder when u(9) is divided by 8?
2
Calculate the remainder when 334 is divided by 13/(-104) - ((-2702)/16)/7.
22
Let p = 237 + -228. Calculate the remainder when 16 is divided by p.
7
Let l = -5 + 7. Suppose 2 + 7 = 3*v, -177 = -3*j + l*v. Suppose 5*r - 93 = 12. What is the remainder when j is divided by r?
19
Let d(r) = 5*r**2 + 6*r + 8. Calculate the remainder when d(7) is divided by 12.
7
Let m(j) = -6*j**2 - 2*j + 2. Let w be m(3). Let r be (1 + -1)/(-6) + 2. Calculate the remainder when (2 - 5) + (r - w) is divided by 20.
17
Suppose -179 - 151 = -10*k. Suppose 31 = 2*y - 3*a, -2*y = 2*a + a - 25. Calculate the remainder when 4/y - 4540/(-35) is divided by k.
31
Suppose 69*w + 80 = 74*w. Let v be (-2)/(-6) - (-8)/3. Suppose -v*o - o = -244. Calculate the remainder when o is divided by w.
13
Let z be (-21)/(-7) - (1 - 1). Suppose -5*v + 5 = 0, 0 = -u + z*u - 2*v - 28. Calculate the remainder when u is divided by ((-1)/(-2))/((-8)/(-96)).
3
Let o(k) = -19*k - 609. Calculate the remainder when 307 is divided by o(-34).
11
Let k be ((-4)/(-12)*-1)/(2/(-72)). Let z(i) = 4*i - 20. Calculate the remainder when z(k) is divided by 16.
12
Let n = 12 + 26. Suppose -4*d = -c - 30, -4*d + 3*c + 34 = -0*d. Calculate the remainder when n is divided by d.
3
Let i(m) = m**2 + 13. Let s be i(0). Let k(f) = -f**3 + 8*f**2 - 3*f + 12. Let y be k(8). Let h = s - y. Calculate the remainder when h is divided by 13.
12
Suppose 1260 = 16*v + 54*v. Calculate the remainder when 129 is divided by v.
3
Let g(a) = -a**3 - 32*a**2 - 104*a + 15. What is the remainder when g(-31) is divided by 15?
13
Let t(n) = -n**3 + 6*n**2 + 7*n - 8. Let j be t(7). Let y = j - -14. Calculate the remainder when y is divided by 14/6*(66/(-77))/(-2)*2.
0
Suppose 2310 = 9*f + 24*f. What is the remainder when f is divided by 24?
22
Suppose 2*v - 875 = -3*v. Suppose -6*k + k + v = 0. Calculate the remainder when 69 is divided by k.
34
Suppose -2*w - 3 = 3*t - 0*w, 5*w = -5*t. Calculate the remainder when t/6*148/(-2) is divided by 8.
5
Let y be 2/2*((-5 - -3) + -19). What is the remainder when (-3)/(-2) - y/6 is divided by 4?
1
Suppose -a = -3*a + 24. What is the remainder when (-266)/(-4) - (-18)/a is divided by 24?
20
Let o(u) = -102*u - 692. Calculate the remainder when 2603 is divided by o(-8).
123
Suppose -31*a = -108 - 450. What is the remainder when 46 is divided by a?
10
Suppose 2*i - 2 = 2*