 103*t - 33. What is the remainder when o(6) is divided by 9?
6
Suppose -q - 10*l + 13*l = -22, 2*q - 46 = 4*l. Calculate the remainder when 4168 is divided by q.
18
Suppose -22*p + 2*y = -25*p + 1018, -5*y + 25 = 0. Let z = 462 - p. What is the remainder when z is divided by 19?
12
Suppose -194 = 2*n - 4*n + 4*f, 0 = n + f - 103. Let c be 6*6/(22 + -4)*93. Suppose -c*r + 170*r + 576 = 0. What is the remainder when n is divided by r?
29
Let v = -25 - -50. Let h(o) = -o**2 + 36*o + 119. What is the remainder when h(31) is divided by v?
24
Let p be 245/7*4/10. Suppose p = -t + 29. Calculate the remainder when 23 is divided by t.
8
Let d(z) = z + 21. Let j be d(-17). Suppose 5*v - 333 = -j*v. Suppose -v*l = -42*l + 65. Calculate the remainder when 46 is divided by l.
7
Suppose -3*t + 5*x + 820 = 0, 81*t + 3*x = 84*t - 828. What is the remainder when t is divided by 50?
30
Suppose -187 = 396*p - 407*p. What is the remainder when 32 is divided by p?
15
Suppose -o + q = 3*o - 173, -3*q + 111 = 3*o. Let l = o + -38. Suppose 5*a - 295 = -l*c, 2*c = 2*a - 85 - 51. What is the remainder when a is divided by 13?
11
Let o(d) = -d**2 - 6*d + 6. Let q(r) = -41*r + 12. Suppose 4*x - 2*f - 6 = 0, 5*x - 4*f = -0*x + 15. What is the remainder when q(x) is divided by o(-5)?
9
Suppose 10132 - 1024 = 18*q. Calculate the remainder when q is divided by 158.
32
Let v(k) = 5*k + 271. Let b = -443 - -393. What is the remainder when 60 is divided by v(b)?
18
Suppose 0 = 4*v - 12, -4*v = 5*o + 29 - 191. Suppose 3*b + 7 - 63 = -x, 0 = b - 3*x - 2. What is the remainder when o is divided by b?
13
Let r(p) = 8*p**3 - 74*p**2 + 15*p - 39. What is the remainder when r(10) is divided by 100?
11
Let q = 606 + -555. Suppose q*c - 2814 = 37*c. Calculate the remainder when c is divided by 41.
37
Let h = -46863 + 47947. Calculate the remainder when h is divided by 314.
142
Suppose -v + 0*v - 2*n = -44, v - 4*n - 68 = 0. Let m = 11211 - 11184. What is the remainder when v is divided by m?
25
Suppose -28099 = -19*u + 15088. What is the remainder when u is divided by 7?
5
Let s(d) = -d - 1. Let f be s(3). Let p(o) = -5*o + 4. Suppose 0 = x - 2*i - 61, 30*x - 33*x = -5*i - 186. What is the remainder when x is divided by p(f)?
19
Let i(v) = v**2 + 5. Let y be i(-11). Suppose y = a - 3*r, -5*a + 2*a - 3*r + 378 = 0. Calculate the remainder when a is divided by 16.
14
Let h(i) be the first derivative of -2*i + 1/2*i**2 + 9. What is the remainder when 16 is divided by h(8)?
4
Suppose 38 = 2*c + 4*r, -2*r = c + 2*r - 29. Suppose -4*s = -c*s - 4*i + 97, -2*s - 4*i = -46. What is the remainder when 1817 is divided by s?
15
Suppose -49*i = 452 - 2804. What is the remainder when 286 is divided by i?
46
What is the remainder when 2474 is divided by ((-1265)/(-506))/((-1)/(-38))?
4
Let i = 79 + -34. Let f(q) = q**3 - 34*q**2 + 36*q - 74. Let a be (24/32 - -2)/(1/12). Calculate the remainder when i is divided by f(a).
20
What is the remainder when 479 is divided by 42/35*5*(-320)/(-12)?
159
Suppose 0 = 2*i - 7*i + 280. Suppose 12381*k = 12465*k - 17808. What is the remainder when k is divided by i?
44
Let i(a) = -a**2 + 10*a + 5. Let w be i(0). Suppose 8 = -4*h, 10*v - w*v = h + 32. Suppose 0 = l - 2*l + 23. Calculate the remainder when l is divided by v.
5
Let r(h) = 182*h**2 - 829*h - 2498. What is the remainder when r(-3) is divided by 321?
22
Let x be (156/20)/((-18)/(-30)). Suppose -x*k - 13*k = -520. What is the remainder when 1 - 2 - 2*-30 is divided by k?
19
Suppose 300*q - 305*q = -245. Suppose r - 2*v = q, 3*r - r - 108 = -v. What is the remainder when 421 is divided by r?
50
Let c(d) = d - 12. Let a be c(22). Let n(g) = 15*g - 108. What is the remainder when 138 is divided by n(a)?
12
Let c = -379907 + 379912. Suppose 5*s + 3*k - 89 = 0, -k - 44 = -2*s + 2*k. Suppose -2 + s = g. What is the remainder when g is divided by c?
2
Let a(o) = -2*o + 1. Let v be (-11)/(-22)*(-8*1)/(-2). Suppose 4 = v*w - 3*m, w - 2*m + 1 = -4*w. Calculate the remainder when a(w) is divided by 3.
0
Suppose -3*u - 40*q = -36*q - 2786, u - 929 = -q. Calculate the remainder when u is divided by 86.
70
Let i = 15826 + -15176. What is the remainder when i is divided by 182?
104
Suppose 0 = k + 2*k - 87. Suppose 7 = 4*w - k. Suppose -w*d + 124 = -1082. What is the remainder when d is divided by 27?
26
Let m = 21349 - 21290. What is the remainder when 2136 is divided by m?
12
Suppose -3*x + 821 = 5*s, -3*s = 91*x - 95*x + 1143. What is the remainder when x is divided by 149?
133
Suppose -4*o + 129 = -4*s - 31, 2*s + 40 = o. Let z(b) = 5*b**2 - 74*b - 13. Let a be z(15). What is the remainder when 95 is divided by -2*1/(-5)*o*a?
31
Let v(r) = -r**3 - 5*r**2 - 17*r - 11. Let k = -379 - -372. What is the remainder when v(k) is divided by 52?
50
Let o be (-1 - (-4)/8)*-14. Calculate the remainder when o - -206*(0 + 1) is divided by 12.
9
Let n(u) = -5*u**2 - 3*u - 4. Let v be n(-1). Calculate the remainder when 205 is divided by (33/44)/(v/(-280)).
30
Let t(j) = 5*j - 26. Let n be t(6). Suppose -n = -2*u + 12. Suppose -u*p + 3*p + 10 = 0. What is the remainder when 7 is divided by p?
1
Let b = 777 - 438. Suppose -4*o + 2*v = -52, 5*o - 11 = -2*v + 18. What is the remainder when b is divided by o?
6
Let b = -77727 - -77752. Let u = -166 - -263. What is the remainder when u is divided by b?
22
Let p(o) = -17*o + 3. Let c be p(-4). Suppose c + 5 = 2*r. Let v = r + -24. Calculate the remainder when v is divided by 8.
6
Suppose 3*h + 5*k - 25 = -2*h, 3*h - 2*k = 0. What is the remainder when 91*(-30)/(-1755)*18 is divided by h?
0
Calculate the remainder when 1450 is divided by 52/455*5 + 1809/(-14)*-2.
155
Suppose i - 5*g - 464 = 784, -2*g = 3*i - 3608. Calculate the remainder when i is divided by 149.
16
Suppose -3*v - 440 = -452. Suppose -2*t - 53 = -3*t - 5*l, -v*t + 2*l = -168. Calculate the remainder when 298 is divided by t.
40
Let r(z) = z**2 + 60*z + 890. Calculate the remainder when 143 is divided by r(-35).
8
Suppose -31*c + 26*c + 285 = 0. What is the remainder when c is divided by (0 - 1)/(18/(-360))?
17
Let t = -1401 - -1465. Calculate the remainder when 186 is divided by t.
58
Suppose -5*r + 4*l + 0*l = 2, -4*r - 4*l = -20. Let q = 1 + r. What is the remainder when (4/(-7))/((-5)/70) is divided by q?
2
Let f(i) = -i**2 + 120*i - 2693. Calculate the remainder when f(85) is divided by 46.
6
Let k be 2/(-4) - 5/(-10)*1. Let w be (k + 5)/(-5) - (-5 - 1). Calculate the remainder when 109 is divided by 74/((-2)/1 + w - 1).
35
Let h = 71 + 32. Let u = -84 + h. What is the remainder when 54 is divided by u?
16
Calculate the remainder when 5456 is divided by (-321)/(-3)*(-91 - -92).
106
Let w be (-1)/8*-2 - 322/(-56). Suppose 5*f = 20, 0 = -4*m + w*m - 2*f - 92. What is the remainder when m is divided by 37?
13
Let c(w) = 2*w + 23. Let x be c(-12). Let t be (110/22)/(4/6 + x). What is the remainder when t/75 - 81/(-5) is divided by 6?
4
Let t(p) = -p**3 + 7*p**2 + 9*p + 7. Let m be t(7). Let h = m - 26. Let a = 54 - h. What is the remainder when 218 is divided by a?
8
Suppose -4*f = -13*v + 17*v - 4572, 0 = 3*v - 2*f - 3404. What is the remainder when v is divided by 36?
22
Suppose -10*k - 3*k = -3016. Let y = 264 - k. Suppose -u + 27 = z - 3*z, 4*u + 5*z = 43. What is the remainder when y is divided by u?
15
Let v = -3858 - -4064. Calculate the remainder when v is divided by 28.
10
Let f = 5585 - 5548. What is the remainder when 849 is divided by f?
35
Let x(l) = 2*l**2 + l + 6. Let g be x(0). Let r be (77/(-33) + (-4)/g)/(-1). What is the remainder when (r - (-2 + -30)) + 1 is divided by 16?
4
Let i(p) = -100*p - 692. Calculate the remainder when 2125 is divided by i(-28).
17
Suppose 4265*a = 4263*a + 38. Calculate the remainder when 672 is divided by a.
7
Let b(o) = o**3 + 56*o**2 + 3*o + 336. What is the remainder when 812 is divided by b(-56)?
140
Let n(q) = 4*q**2 + 2*q - 6. Suppose 162 = 3*g - 19*t, -103*t - 9 = -100*t. What is the remainder when n(6) is divided by g?
10
Suppose 12*f = 31*f - 57. Suppose 12*c + 161 = k + 7*c, f*k = 3*c + 543. What is the remainder when k is divided by 12?
6
Suppose 362*i - 640 = 342*i. Calculate the remainder when 920 is divided by i.
24
Suppose 105 - 291 = -3*t. Let w = -633 