
29
Suppose -s = -4*t - 2, -4*s + 2 = -5*t - 6. Suppose -3*c = 5*a - 33, 0*c = -s*a - 5*c + 17. What is the remainder when 11 is divided by 185/25 + a/(-15)?
4
Let t = 931 + -923. Calculate the remainder when 998 is divided by t.
6
Let s = -161 - -211. Calculate the remainder when s is divided by (-2)/(-3) + 158/6.
23
Suppose 0 = -12*t + 1608 + 13476. What is the remainder when t is divided by 13?
9
Let r be 3/2*(-1768)/(-51). Suppose 5*p = 3*h + 3*p - r, -5*p = -h + 26. What is the remainder when 79 is divided by h?
15
Let z(u) = u**2 - u - 1. Let j(f) = -4*f**2 + 8*f + 8. Let m(c) = j(c) + 3*z(c). Calculate the remainder when m(5) is divided by (-4)/6*(-39)/13.
1
Suppose -95 = 9*b - 32. Calculate the remainder when (-94)/b + (-4)/((-84)/(-9)) is divided by 7.
6
Let q(f) = -f**2 + 21*f + 45. Let b be q(23). Calculate the remainder when (b*1)/(5/(-245)) is divided by 13.
10
Let l(g) = -g - 1. Let t be l(-4). Let q(z) = 44*z - 10. Let u(k) = k**3 - 5*k**2 - 5. Calculate the remainder when q(t) is divided by u(6).
29
Let x(n) = 11*n + 49. What is the remainder when x(6) is divided by 12?
7
What is the remainder when 27 is divided by (76/1)/2*(-2)/(-4)?
8
Suppose -j = -3*d - d + 397, -3*j - 505 = -5*d. Calculate the remainder when d is divided by 26.
20
Let p(o) = 2*o**3 + 13*o**2 - 47*o + 18. What is the remainder when p(-8) is divided by 29?
28
Let l be 41/(3/2 + -1). Let i = -47 + l. What is the remainder when i is divided by 9?
8
Calculate the remainder when (7/(-21))/((-6)/846) is divided by 39.
8
Let p(q) = -2*q**2 + 78*q - 121. What is the remainder when p(35) is divided by 29?
14
Let n = 343 + -330. Calculate the remainder when 324 is divided by n.
12
Let p(h) = 1 - h - 2*h + 2*h + 7*h**2. What is the remainder when p(2) is divided by -25*(-2)/6*-18*21/(-315)?
7
Suppose 0 = -g + a - 4 + 1, 5*g + 3*a + 15 = 0. Let o be ((-2)/g)/((-4)/6). Calculate the remainder when 46 is divided by 16 + o - (5 + -2).
10
Let s = 10 + -7. Let k be 1/2*(1 + s). Suppose -2*y - 17 = -c, -k*c + c = 3*y - 27. What is the remainder when c is divided by 8?
5
Suppose -8*s + 60 = -4*s. Suppose -3*y + 5*k = -40, 5*y + 5*k - s = 25. What is the remainder when 97 is divided by y?
7
Suppose 3*l - 179 = 2*k, 3*l + 2*k + 28 - 191 = 0. Calculate the remainder when l is divided by 2/(-1) + 11*2.
17
Let g(l) = 6*l**3 + 7*l**2 + 7*l - 6. Let i(f) = -7*f**3 - 6*f**2 - 6*f + 5. Let y(q) = -6*g(q) - 7*i(q). What is the remainder when 38 is divided by y(1)?
10
Suppose -6*h + 3*h - 5*u + 41 = 0, 4*h = 2*u + 72. What is the remainder when h is divided by 14?
3
Suppose 548*v - 20 = 547*v - 2*z, -5*v + 60 = 2*z. Let u(d) = -4*d - 5. Calculate the remainder when u(-5) is divided by v.
5
Suppose 55*r = 59*r - 8. Suppose -y + 56 = 4*g - 3, -r*g + 37 = -y. What is the remainder when 31 is divided by g?
15
Suppose 0 = -19*o + 20*o + 3*o - 84. Suppose -14 = -s - 0*s. Calculate the remainder when o is divided by s.
7
Let d = 66 + -41. Suppose 5*m - 91 = -46. Calculate the remainder when d is divided by m.
7
Calculate the remainder when (471 - 1) + -7 + 11 is divided by 53.
50
Let s = 945 + -936. What is the remainder when 178 is divided by s?
7
Let s(a) = -33*a**3 - 3*a**2 - 4*a - 3. What is the remainder when s(-2) is divided by 43?
42
What is the remainder when (7 + -52)/9 - -4*332 is divided by 102?
99
Let p = 8 + 2. Let w be p/4*(-12)/(-10). Let s = 7 + w. Calculate the remainder when 37 is divided by s.
7
Let y(c) = 3*c**2 - 4*c + 3. Let f be y(2). Let h(a) = a**2 - 3*a - 15. Calculate the remainder when (4 + -2 - -26) + -3 is divided by h(f).
12
Suppose 280 + 501 = 11*k. Let w = -31 - -67. Calculate the remainder when k is divided by w.
35
Suppose -26 = -k - 2*f, -2*k + f + 2 + 45 = 0. Let p(h) = 43*h - 93. Calculate the remainder when p(4) is divided by k.
7
Suppose -56 = 2*m - 66. Calculate the remainder when 52 is divided by m.
2
Let a = 433 - 232. Calculate the remainder when a is divided by 101.
100
Let f = 125 + -106. Calculate the remainder when 110 is divided by f.
15
Let c = -266 - -415. Let k = -7 - -37. What is the remainder when c is divided by k?
29
Calculate the remainder when 161 is divided by (4 + (-5)/3)/(1/36).
77
Let x(m) = -m**2 - 9*m - 4. Let r(a) = 6*a - 2 - 7*a + 2*a. Let h be r(-2). What is the remainder when x(h) is divided by 5?
1
Let c(m) = 8 - 4 + m**2 + 3 + 3 - 6*m. Let x be c(5). Suppose 0 = -x*l + 2*l - 2*v + 293, 0 = 3*v + 15. Calculate the remainder when l is divided by 26.
23
Let w(f) = f**2 - 114*f + 828. Let l(s) = -7*s + 6. Calculate the remainder when w(7) is divided by l(-5).
38
Suppose 66*w - 71*w = -20. Suppose -37 = -w*z + 3. What is the remainder when 19 is divided by z?
9
Let i(b) = b**2 + 21*b - 116. What is the remainder when 152 is divided by i(-26)?
12
Let i = 773 + -382. What is the remainder when i is divided by 136?
119
Suppose -2534*t + 111 = -2531*t. What is the remainder when 146 is divided by t?
35
Let f(w) = 3*w - 25. Let k = -9 + 19. What is the remainder when 5 is divided by f(k)?
0
Suppose -2*d - 367 + 133 = 0. Let h = d - -175. Calculate the remainder when h is divided by 12.
10
Suppose -132 + 1428 = 9*b. Calculate the remainder when b is divided by 49.
46
Let m = -2 + 110. Suppose 104*q + 100 = m*q. Calculate the remainder when q is divided by 13.
12
Suppose -3*b - 2*r = 2*b + 10, 3*b - 4*r = -6. Suppose -33 + 189 = 2*h. What is the remainder when h is divided by 180/6 + b + -1?
24
Let f(c) = -c**2 + 4*c + 3. Let r be f(4). Suppose -r*y - 4*w = -4*y + 15, 0 = w + 2. What is the remainder when (-5)/10 + 37/2 is divided by y?
4
Suppose -11*o + 10*o = -240. Calculate the remainder when o is divided by 41.
35
Suppose -2*b = -5*u + 96, 110 = -0*u + 5*u + 5*b. Let j(n) = -6*n**3 + n - 3. Let x be j(-3). What is the remainder when (18/(-4))/((-9)/x) is divided by u?
18
Let a(f) = -2*f + 25. Let u = 25 - 16. What is the remainder when 33 is divided by a(u)?
5
Let f = -1559 + 1572. Let m = 11 - 7. Suppose -m*n + 14 = 5*r - 26, 41 = 5*n + 4*r. Calculate the remainder when f is divided by n.
3
What is the remainder when (5/((-110)/77))/(1/(-16)) is divided by 29?
27
Suppose -4*c - 3*m + 2023 = 0, -5*c - 4*m + 1971 = -557. Calculate the remainder when c is divided by 51.
49
Let a = -143 + 153. What is the remainder when 57 is divided by a?
7
Let p be (-4)/1*(-3)/(3 - 9). What is the remainder when ((1 - 0) + p)*-13 is divided by 9?
4
Let t = 47 - -235. Calculate the remainder when t is divided by 15.
12
Let h(l) = -l. Calculate the remainder when 5265/429 - 3/11 is divided by h(-4).
0
Let l(q) be the third derivative of q**4/6 - q**3/6 - 6*q**2. Let h be l(1). Suppose 150 = 6*n - h*n. What is the remainder when n is divided by 13?
11
Let l = -736 - -801. Suppose 0 = 2*j + 4*m - 32, -4*j - 4*m + 63 = -13. What is the remainder when l is divided by j?
21
Suppose 0 = 41*a - 24*a - 2363. Suppose 3*o - 12 = 3, 4*u - 100 = -4*o. Calculate the remainder when a is divided by u.
19
Suppose r - m = 375 - 106, 526 = 2*r - 5*m. What is the remainder when r is divided by 65?
13
Suppose -6*a + 5*a = -34. What is the remainder when 134 is divided by a?
32
Let f = 1858 - 1711. Calculate the remainder when f is divided by 40.
27
Let z(w) = -2*w + 14. Let y be z(6). Suppose -2*f = -6*f + o + 113, 2*f + y*o = 44. Let a = -15 + f. Calculate the remainder when 35 is divided by a.
11
What is the remainder when ((-205)/(-10))/(3/6) is divided by 23?
18
Let p = -568 - -616. Calculate the remainder when p is divided by 27.
21
What is the remainder when 102 is divided by 84/18*(-126)/(-28)?
18
Let i(d) = 3*d + 5. Let k be 2/3 - 32/(-6). Let f(b) = -7*b**2 + 77*b + 45. Calculate the remainder when f(11) is divided by i(k).
22
Suppose -3*d + 99 = -3*k, -5*k - 59 = d + 124. Let b = 70 + k. Calculate the remainder when b is divided by 6.
4
Let g(l) = -5*l + 20. What is the remainder when 119 is divided by g(1)?
14
Let g = -263 + 573. Calculate the remainder when g is divided by 24.
22
Let d = 159 + -104. Suppose u - 5*u + d = -5*o, -u = -5*o + 5. Suppose -4*j + 8*j - u = 0. What is the remainder when j is divided by 3?
2
Suppose 3*y - 5*u = 61, -5*y = -3*u - 4 - 71. Calculate the remainder when 213 is divided by y.
9
Calculate the remainder when (-240)/(-100)*2