. Let a be 35/(-21)*(-18)/10. What is the remainder when 111 is divided by x(a)?
13
Let u be (-1)/((-20)/(-21) + -1). Suppose -38 = m + u. Let j = 45 - m. What is the remainder when j is divided by 21?
20
Let s = -737 - -1128. Let y = s - 373. Calculate the remainder when 80 is divided by y.
8
Let h(b) be the third derivative of -7*b**6/120 - b**5/20 - 3*b**4/8 - 7*b**3/6 + 2*b**2 - 12. Calculate the remainder when 59 is divided by h(-1).
5
Suppose j + 118 - 21 = -5*f, -3*j - 3*f - 303 = 0. Suppose 117*y = 112*y + 2*z + 63, 2*z = 22. Calculate the remainder when -2 + 1/1 - j is divided by y.
16
Suppose 4*t - 18 = 6. Let d(q) = 32*q**3 + q**2. Calculate the remainder when 1*(-63)/t*-6 is divided by d(1).
30
Let p(a) = -38*a**3 + 1596*a**2 + 4*a - 146. Let n be 1/1*4/4. Calculate the remainder when 5 + 101 + n + -3 is divided by p(42).
16
Calculate the remainder when 15 is divided by ((-16)/(-52))/((-40)/(-1300)).
5
Let h(s) = 2*s - 7. Let d be h(12). Suppose -5*l + b + d = 0, -5*b = l - 14 - 5. Suppose -5*u - l = -94. Calculate the remainder when u is divided by 5.
3
Let i(o) be the second derivative of 1/2*o**2 + 5/6*o**4 + 0 + 0*o**3 - 12*o. Calculate the remainder when i(-1) is divided by 5.
1
Suppose -63*g - 88*g + 302 = 0. Suppose -2*w = -5*j + 3*w - 670, -5*w = -j - 154. Calculate the remainder when (j/g)/(42/(-112)) is divided by 29.
27
Suppose -4*j + 4*p - 44 + 0 = 0, 4*j + 34 = -p. Calculate the remainder when (2233/14)/((j/(-6))/3) is divided by 46.
43
Let s(z) be the first derivative of -z**4/4 + 10*z**3/3 - 5*z**2 + 12*z + 21. Calculate the remainder when s(9) is divided by 1.
0
Suppose -67*p - 55 = -72*p. Let z(q) = 46*q - 11. Let h be z(3). Let u = h + -96. What is the remainder when u is divided by p?
9
Suppose -1153 - 4242 - 7037 = -111*v. Calculate the remainder when 591 is divided by v.
31
Suppose 1 = n - 4*g - 7, 5*g + 5 = 0. Suppose f - 3*r = 28, 0*f - n*f + 129 = 5*r. Let p = -17 + f. Calculate the remainder when p is divided by 10.
4
Suppose 0 = 32*t - 14*t - 21690. Calculate the remainder when t is divided by 110.
105
Let t(n) = -n**3 - 12*n**2 - 6*n. Let x be t(-11). Let v = 57 + x. Suppose -3*h + 86 = -v*h. Calculate the remainder when h is divided by 29.
28
Let m = -257 + 257. Suppose 2*p - 6*y = -2*y + 6, -2*p + 3*y + 10 = m. Calculate the remainder when 21 is divided by p.
10
Let i(x) = -38*x - 72. Let v be i(-2). Suppose 5*q = 3*a - 8, -2*q + 14 - 48 = -v*a. Calculate the remainder when 85 is divided by a.
8
Let q(i) = 11*i + 1. Let k be 7*5/(-70)*-10. Suppose -4*x = -x - 90. What is the remainder when q(k) is divided by x?
26
Suppose 0 = 2*o + 4*k - 2, o + 5*k = 4*o - 14. Let y(d) = d**3 + 13*d + 9 + 17*d - 30*d - 7*d**2. Calculate the remainder when y(7) is divided by o.
0
Suppose -q + 108 = 3*m, -4*q - 134 = -4*m - 2*q. Suppose -13673 = -117*j - 58*j - 2823. Calculate the remainder when j is divided by m.
27
Let j = 727 + -685. What is the remainder when j is divided by ((-22)/6)/((-8)/(-3) + -3)?
9
Let d be 1/4 + 7 + 22967/(-28). Let z = 835 + d. Calculate the remainder when 27 is divided by z.
5
Suppose -4*p + 3*p + 15 = 0. Let n(h) = -h**3 + 16*h**2 - 15*h + 1. Let o be n(p). What is the remainder when 59 is divided by 16 - (-2 + 6)/o?
11
Let o be (-5)/(-1)*((-498)/(-30) + -5). Suppose -3*z - 2*b = -127, 0 = -z + 5*b + 7 + o. What is the remainder when 358 is divided by z?
43
Suppose w - 34 = 3*r, -2*w + 132 = w + r. What is the remainder when 124 is divided by w?
38
Let v(c) = -356*c + 2152. Calculate the remainder when 665 is divided by v(6).
9
Let v(y) = 11*y**2 - 5*y - 16. Let o be v(-3). Suppose 3*m + 11*m - o = 0. Suppose -m*q + 12*q = 75. Calculate the remainder when q is divided by 2.
1
Let r = -936 + 1777. Calculate the remainder when r is divided by 77.
71
Let v(n) = -74*n**2 - 2351*n - 51. What is the remainder when v(-30) is divided by 389?
378
Let l(k) = -k**3 + 14*k**2 - 7*k + 15. Let q be l(12). Let u = 152 - q. Let d = -10 - u. Calculate the remainder when d is divided by 20.
17
Let h(b) = -25*b. Let l(a) = a - 9. Suppose -11*y - 702 = -38*y. What is the remainder when h(-1) is divided by l(y)?
8
Suppose 0 = -5*u, 8 = z - 2*u - 4. Let l(o) = -40*o**3 - 2*o**2 - o. Let x be l(-1). Let j = -18 + x. What is the remainder when j is divided by z?
9
Let i = 170 + -166. Suppose -2*b = 0, i*s + 5*b = 6*b + 140. Calculate the remainder when 64 is divided by s.
29
Let b be (7 - 1)*28/6. Suppose -a + 2 = -b. Suppose 12*k - 15*k = 3*l - 183, -4*l + 235 = k. What is the remainder when l is divided by a?
28
Let l = 117 + -67. Let q be (47 - 1)*5/l*5. Suppose -28 = q*x - 30*x. What is the remainder when 5 is divided by x?
1
Let h(j) = j**3 - 37*j**2 + 77*j - 203. Suppose k = -4*l + 278, 0 = -2*l - l - 4*k + 215. What is the remainder when h(35) is divided by (l/6)/(1/2)?
19
Let w = 721 - 706. What is the remainder when 538 is divided by w?
13
Suppose -3*s + 5187 = 1845. Calculate the remainder when s is divided by 18.
16
Let y be (-32)/56 + 5871/21. Let v = y + -265. Calculate the remainder when 97 is divided by v.
13
Suppose 64*y - 43*y = 37*y - 5104. Calculate the remainder when y is divided by 32.
31
Suppose -3*t = -5*c - 35, 5*t - 3 = -3*c + 2*t. Let s(p) = 32*p**2 + 22*p - 13. What is the remainder when s(c) is divided by 23?
20
Let c(q) = 142*q - 3495. What is the remainder when c(30) is divided by 13?
11
What is the remainder when (-4420)/325*175/(-10) is divided by 71?
25
Suppose -6*j = 75 - 525. Suppose -3*n + 5*y = -n - 316, -4*y = 4*n - 576. What is the remainder when n is divided by j?
73
Let c = -15 - -97. Suppose 4*o = 2*r + c, -130 = -4*o - 4*r - 18. What is the remainder when 160 is divided by o?
22
Let j = -50 - -28. Let n be 4/j - (93/33 + -6). Suppose 5*k - 2*t - 163 = 0, -2*k + 2*t = -n*k + 23. What is the remainder when k is divided by 11?
9
Suppose 19*v - 17*v - 146 = 0. Suppose 5*b + v = 318. What is the remainder when b is divided by 6?
1
Let q(k) = 34*k - 132. Let y be q(4). Let f = -10 - -18. Suppose -f*l = -y*l - 28. Calculate the remainder when 19 is divided by l.
5
Let j = 38 + -39. Let u be 5/(j*(-5)/280). Suppose -3*i + u = 2*i. Calculate the remainder when i is divided by 15.
11
Suppose 4820 + 1225 = -4*z + 17*z. Calculate the remainder when 944 is divided by z.
14
Suppose 2*f = -5*z - 0*f + 43, -4*f + 14 = 2*z. Let m = -12 - -17. Suppose 58 = m*p - 107. Calculate the remainder when p is divided by z.
6
Let i(v) = -v + 10. Let l be i(8). Let w be (2 + -1)*0/(-12). Suppose f + l*f - 39 = w. Calculate the remainder when f is divided by 8.
5
Suppose 2*k = -3*i + 228, k + 2*i = 94 + 21. Let d = 9 + 57. Let s = k - d. What is the remainder when 134 is divided by s?
44
Suppose 54*b - 107646 = -179*b. Calculate the remainder when b is divided by 29.
27
Let b(t) = -10*t**2 + 82*t + 85. Let h(j) = 4*j**2 - 42*j - 42. Let v(r) = -3*b(r) - 7*h(r). Calculate the remainder when v(23) is divided by 38.
35
Let b = -75 + 134. Suppose -3*t + 7 = 2*f - 47, -51 = -3*f + 3*t. Suppose 6*m + f - 147 = 0. Calculate the remainder when b is divided by m.
17
Suppose -40*z = -45*z - t + 601, 5*t = 4*z - 504. Let i(w) = 2*w**2 - 2*w - 15. Calculate the remainder when z is divided by i(4).
4
Let o = 1808 + -1568. What is the remainder when o is divided by 122?
118
Suppose -121*g = -145*g + 144. Suppose 0*y - 32 = -2*y. What is the remainder when y/6*45/6 is divided by g?
2
Let n(k) = 14*k + 4. Let c = 94 - 148. Let x = 56 + c. Calculate the remainder when n(x) is divided by 3.
2
Let f = 134 - 93. Let c = -9723 - -9728. What is the remainder when f is divided by c?
1
Suppose 4296 = q - 75*i + 74*i, 28 = -4*i. What is the remainder when q is divided by 53?
49
Let o(d) = d + 227 + 4*d - 234 + 380*d**2. Calculate the remainder when o(1) is divided by 24.
18
Suppose -3*p = 3*g - 21, 5*g + p - 3*p = 14. Let i be (-600)/(-90) - (-1)/3. Let m = i - g. Calculate the remainder when 37 is divided by m.
1
Suppose 0 = -m - 3*a + 14, 30 = 111*a - 116*a. What is the remainder when 111 is divided by m?
15
Suppose 3*t - 5*t = -4*f - 1474, 3*f + 3706 = 5*t. Let z = 1201 - t. What is the remainder when z is divided by 66?
62
What is the remainder when 3842 is divided by (-10 + 6)*488/(-32)?
60
Let l(x) be the first deri