 remainder when 80 is divided by t.
20
Suppose -3*r - 53 = -z + 2*r, -z + 2*r + 38 = 0. Let d = 35972 - 35903. What is the remainder when d is divided by z?
13
Let i(n) = 440*n**2 + 7032*n - 3. Let s(t) = t**3 - 3*t**2 + 4*t - 6. What is the remainder when i(-16) is divided by s(4)?
21
Let i(q) = -q**3 + 13*q**2 - 9*q + 5. Let b = -59 + 63. Let g be (-7)/14 + 54/b + -1. What is the remainder when 78 is divided by i(g)?
37
Let m(w) = 3*w + 27. Let f = -3 + 8. Suppose -f = -2*x - 1. What is the remainder when m(-8) is divided by x?
1
Suppose -2593 = -104*j - 201. Calculate the remainder when j is divided by 13.
10
Suppose 4*j - 5*p = 6329, -2*j + 5*p + 3161 = 2*p. What is the remainder when j is divided by 7?
2
Let b(f) = f**3 + 7*f**2 - 10*f + 7. Suppose 9*x - 2686 = -355. Suppose 258*j - x*j = -45. Calculate the remainder when j is divided by b(-8).
22
Suppose 82*v = 270*v - 253048. What is the remainder when v is divided by 91?
72
Let c be (17 - 5)/((-6)/(-3)). Let u(o) = 5*o**2 + 9*o - 67. What is the remainder when u(5) is divided by (-135)/25*(1 - c)?
22
Suppose 19*a - 234*a = -23*a - 5376. Suppose -r + 4*o = -14, r = -3*o - 0*o. What is the remainder when a is divided by r?
4
Let u(l) = -l**3 + 36*l**2 - 89*l + 3. Calculate the remainder when u(33) is divided by 14.
11
Suppose -8*d + 68 = -7*d. Calculate the remainder when 30/9*(-7 + 28)*1 is divided by d.
2
Suppose -2*r = 3*g - 4*r + 247, 3*g + 2*r = -251. Let j(b) = 15*b + 185. Calculate the remainder when (-4)/(-3) + g/(-3) is divided by j(-12).
4
Suppose -3*d = -u + 22 + 3400, 4*d - 10227 = -3*u. What is the remainder when u is divided by 180?
173
Calculate the remainder when 20/(((-440)/(-2871))/10) is divided by 164.
157
What is the remainder when 411 is divided by ((-335)/(-25) - 30/10)*10?
99
Calculate the remainder when 110 is divided by (0 - -60*(-15)/10)*1/(-2).
20
Let k(c) = -5*c**3 - 55*c - 55. What is the remainder when 1643 is divided by k(-1)?
3
Calculate the remainder when 917 is divided by (-14)/(-924)*11*204.
33
Let v = 1 - 6. Let i(q) = q**2 + 6*q + 5. Let z be i(v). Calculate the remainder when z + (-3246)/(-42) - (-2)/(-7) is divided by 16.
13
Let a be (888/15)/(5*5/375). Suppose -94*m = -90*m - a. What is the remainder when m is divided by 45?
42
Suppose 0 = 26756*q - 26771*q + 45015. What is the remainder when q is divided by 13?
11
Let g = -13165 - -13277. What is the remainder when 6271 is divided by g?
111
Let w(u) = u**2 - 21*u + 25. Let z be w(20). Suppose 0 = z*c - c - 88. Calculate the remainder when 307 is divided by c.
21
Let s = 59 + -13. Let o be -1 + 2 + 8 - 4. Suppose -o*m + m - 2*c = -90, 0 = -4*m + 3*c + 115. Calculate the remainder when s is divided by m.
21
Let a(n) = n**2 - 7*n + 10. Suppose -5*w + 5*l - 265 = -3*w, -4 = 4*l. Let p be (-18)/w + 118/15. Calculate the remainder when 50 is divided by a(p).
14
Let y be 8/(-84) + 14/147. Suppose 2*w + 2*q - 36 = y, 4*q + 13 = 5. Calculate the remainder when 63 is divided by w.
3
What is the remainder when 11368 is divided by 20*((-494)/(-936) + (-4)/(-18))?
13
Let q = 72 + -67. Suppose 4*b - 27 = 37. Suppose q*z - b = -1. What is the remainder when 13 is divided by z?
1
Suppose -l = o - 127, 1427*l = 3*o + 1432*l - 395. Let g(y) = y**2 + 3*y - 5. Calculate the remainder when o is divided by g(5).
15
Let v be 48/(-10)*370/4. Let i = v - -492. What is the remainder when i is divided by 13?
9
Suppose -j - 103 = -5*a, 292 = -2*j + 5*a + 111. Let n = 110 + j. What is the remainder when 60 is divided by n?
28
Let r(b) = 0 - 3*b**2 + 3*b + 7*b**2 + 14. Let p be r(-6). Suppose 3*h = -h + p. What is the remainder when h is divided by 19?
16
Suppose 0 = -3*x - n + 119, 24*n - 23*n = -2*x + 78. What is the remainder when x is divided by 42/3*1/2*4?
13
Let p(r) = r**3 + 27*r**2 + 6. Let t be p(-27). Let z(h) = 42*h**2 - h + 1. What is the remainder when z(-1) is divided by 92/t + 16/(-48)?
14
Suppose -4*d - m = -120, -9*d + 12*m - 11*m + 270 = 0. What is the remainder when 2804 is divided by d?
14
Suppose 118*l - 3*l - 55200 = 0. What is the remainder when l is divided by 152?
24
Let b(f) = -5*f**3 + 46*f**2 - 6*f - 29. Let w be b(9). What is the remainder when 315 is divided by (-1)/(-1 - w) - 400/(-5)?
78
Suppose -2*c = -5*u + 17, -2*c + 2*u - 36 = -22. Let i(d) = -d**3 - 4*d**2 + 7*d - 3. Calculate the remainder when 178 is divided by i(c).
16
Let x be 0/2*(-3)/(-6). Suppose -3*p + n = 178, p - n + 4*n + 66 = x. Let k = p + 208. Calculate the remainder when k is divided by 38.
34
Suppose -2*z = 2*n - 170, -5*z + 680 = 3*z + 5*n. What is the remainder when z is divided by 56?
29
Suppose 0 = 5*z - 3*l - 201, -12 = -2*l - 2*l. Let j be (-2 + 1 + -11)*(-10)/20. Suppose -252 = -j*w + 486. Calculate the remainder when w is divided by z.
39
Suppose 0 = -3*b + 5*s - 6*s + 2191, b + 5*s - 735 = 0. What is the remainder when b is divided by 81?
1
Let g(d) = 5*d**2 + 7*d - 7. Let i(b) = -b**2 - 492*b - 12959. What is the remainder when g(-6) is divided by i(-28)?
32
Suppose 80*y + 75 = 75*y. Let w(k) = k**3 + 16*k**2 + 20*k + 157. What is the remainder when w(y) is divided by 28?
26
Suppose 5*c - 86 - 109 = 0. Suppose -5*f - 744 = -4*f - 768. What is the remainder when c is divided by f?
15
Let m(s) = 2*s**2 - 7*s - 43. Let y be m(8). Suppose 26*h = y*h - 189. Calculate the remainder when h is divided by 32.
31
Let v(c) = -c + 1. Let x be v(6). Let t = -480 + 605. What is the remainder when t is divided by -5*(2 + x) + 1?
13
Let d(l) = 4*l + 8*l + 3 - 73*l**2 + 72*l**2 - 23. Suppose 4*c + 1 = 21. Calculate the remainder when d(c) is divided by 8.
7
Suppose 26 = -2*r - 4*x, 0 = -4*r + 287*x - 284*x + 91. Calculate the remainder when (-82)/(-5) + 4/(-10) is divided by r.
3
Suppose 58 = 5*a + 43. Suppose 2*v + 387 = a*j, -v = -2*j + 164 + 94. Let g = -80 + j. What is the remainder when g is divided by 10?
9
Suppose -156 = 6*p - 10*p. Let z(x) be the first derivative of x**2/2 + 2*x - 6. What is the remainder when p is divided by z(8)?
9
Let k be (0 + 3)/(0 + 1). Let a be k*((-9)/(-3) + -9). Let z = a - -46. Calculate the remainder when 54 is divided by z.
26
Suppose n = -3*f + 47, 2*n - n - 57 = 2*f. Suppose -2*u + 574 = 4*z, -3*z = 4*u - 313 - 125. Calculate the remainder when z is divided by n.
36
Let q(t) = -127*t + 1221. What is the remainder when 550 is divided by q(8)?
140
Let u be 654*-1 + -8 + -5 + 10. Let f = u - -665. What is the remainder when 114 is divided by f?
2
Let h = 1820 - 1786. Let b be (6/(-3))/((-3)/6). Suppose w + 4*y + 9 = 0, 5*y + b = 4*w - 44. Calculate the remainder when h is divided by w.
6
Let l = 306 + -251. Suppose y - 4*y = -18. Calculate the remainder when l is divided by y.
1
Suppose 4*v + 967 = 5*b, -4*b + 2*v + 312 + 458 = 0. Let x(q) = 2*q**3 - 8*q**2 + 4*q - 4. Calculate the remainder when b is divided by x(4).
11
Suppose -27812 = -75*f - 1787. What is the remainder when f is divided by 22?
17
Suppose -q - 1 = -v - v, -4*q = -4*v - 16. Suppose -r + u + 0*u + q = 0, -3*r = 2*u - 22. What is the remainder when 30 is divided by r?
6
Let c = -7 + 14. Suppose 0 = -3*k - 3*l - 3, -5*l = -2*k - 3*k - 35. Calculate the remainder when 1*3*2/(k/(-22)) is divided by c.
5
Let n = -3052 - -3451. What is the remainder when n is divided by 52?
35
Let k(h) = 2*h**2 - 65*h + 112. Let a be k(33). Let g = a - 29. Calculate the remainder when g is divided by 16.
4
Let q = 198 - 262. Calculate the remainder when 39 is divided by ((q/20)/8)/(1/(-25)).
9
Suppose 4*u + 128 = k, 84*u + 375 = 3*k + 81*u. Calculate the remainder when 390 is divided by k.
18
Let z = -13 + 18. Suppose -3 = -5*u + z*w + 32, 17 = 2*u - 3*w. Calculate the remainder when 72 is divided by u.
0
Suppose -117*o - 21 = -120*o, -5*o + 15 = -4*j. What is the remainder when 685 is divided by j?
0
Let p(h) = -305*h + 3407. Calculate the remainder when 153 is divided by p(11).
49
Suppose -3634 = -5*k + 2*r, -31*r = -k - 36*r + 716. Calculate the remainder when 742 is divided by k.
16
Suppose -2453 - 8932 = -5*z. What is the remainder when z is divided by 110?
77
Let k(g) = -1 - 102*g + g**3 + 80*g**2 + 108*g - 87*g**2. What is the remainder when 286 is divided by k(7)?
40
Suppose 3*j - s - s = 46, 5*j = -2*s + 98. Suppose -13*o = -j*o + 30. 