 3) + -3).
6
Suppose -5*q = 2*n - 200, -14*n - 164 = -16*n + 4*q. What is the remainder when 4049 is divided by n?
89
Let x = 186 - 181. Suppose 4*k + 4*a - 6 - 6 = 0, 0 = 2*k - 4*a. Suppose -n - 3*b = -68, -k*b - 212 = -x*n + 162. What is the remainder when n is divided by 19?
17
Let s = 2758 + -2739. Let q = -18 + 112. Calculate the remainder when q is divided by s.
18
Suppose -2*y - 2*k + 52 = 0, -3*y - 2*k + 106 - 32 = 0. Suppose 0 = 25*h + 3*h - 56. Suppose -h*a = 743 - 761. What is the remainder when y is divided by a?
4
Let p be (-2)/4*(434 - 58). Let s = p - -241. Calculate the remainder when s is divided by 29.
24
Suppose 2*p - 3*m = 9, 4*m - 2*m - 10 = -4*p. Suppose k = 3*k + b - 100, p*k = -b + 150. Let i = k - 37. Calculate the remainder when 50 is divided by i.
11
Suppose -1 + 13 = 4*c. Let k(n) = n**2 - n + 39*n**3 + 48*n**3 + c*n - 2. What is the remainder when k(1) is divided by 10?
8
Let h = -170 - -168. Suppose -3*v + 270 = 3*c - 6*v, 3*c + 4*v - 305 = 0. Calculate the remainder when c is divided by 291/18 + h/12.
15
Let o(g) = 57*g**3 - 218*g**2 - 2*g + 19. What is the remainder when 2219 is divided by o(4)?
167
Let m be 93/(-5) + 6/10. What is the remainder when (4/16)/((104/7328)/13) is divided by (-12)/m + (-67)/(-3)?
22
Let b(t) = t**2 + 6*t - 25. Let r be ((-55)/(-10) - 1)*-2. Let h be b(r). Calculate the remainder when 122 is divided by h/(42/657) - (-2)/(-7).
29
Suppose 6*w = 33*w - 10835 - 3718. What is the remainder when w is divided by 4?
3
Let z(f) = -2*f - 66. Let a(n) = 9*n + 261. Let u(l) = -5*a(l) - 21*z(l). Calculate the remainder when u(-6) is divided by 9.
0
Suppose 16*j = 14*j - 2*n + 1684, -4*j + 4*n + 3392 = 0. Calculate the remainder when j is divided by 39.
26
Suppose -2*k - 24 = -30. What is the remainder when 22*(6 + k + -7) is divided by 26?
18
Let i(o) = -127*o + 558. Calculate the remainder when 1249 is divided by i(4).
49
Let x = -999 - -671. Let u = -279 - x. Let m = 30 + -17. What is the remainder when u is divided by m?
10
Let o(h) be the second derivative of -1/6*h**4 + 11/3*h**3 - 1/2*h**2 - 15*h + 0. What is the remainder when 93 is divided by o(10)?
17
Suppose 0 = 4*l - 2*l - 86. Let k = -31 + l. Suppose -108 = -5*z - 3*m, 0*m = -2*z - 3*m + 45. Calculate the remainder when z is divided by k.
9
Let x = 1392 + -1341. Suppose 0*h + 185 = 3*h + 2*v, 3*h = -5*v + 179. What is the remainder when h is divided by x?
12
Let i be 884/(-10) + (72/(-20))/6. Let s = 93 + i. Calculate the remainder when 21 is divided by s.
1
Suppose -5*m - 1400 + 5935 = 0. Let z = m + -451. Suppose 12*t + 0*t - z = 0. What is the remainder when t is divided by 4?
2
Let h = -30020 + 30058. Suppose g - 4*i + 424 = 2*g, 3*g - 5*i - 1238 = 0. Calculate the remainder when g is divided by h.
36
Let r(n) = n**3 - 2*n**2 + n + 17. Suppose 0 = 3*z + 4*h - 116 - 137, -4*z + h + 331 = 0. Calculate the remainder when z is divided by r(0).
15
Let x = 261 - 116. Let b(i) = 8*i**2 - 15*i + 23. Calculate the remainder when x is divided by b(2).
20
Suppose 0 = 2*d + 4, -3*d + 4*d - 118 = -5*q. What is the remainder when 867 is divided by q?
3
Let p(z) = z**2 - 17*z + 26. Let o be p(5). Calculate the remainder when 85 is divided by 4/o + 752/34.
19
Let q(y) = -48*y - 787. What is the remainder when 663 is divided by q(-17)?
25
Suppose 25 = 4*v + u, 5*v = v - 5*u + 45. Suppose -3*w = 21 - 129. Suppose v*x - 106 + w = 0. Calculate the remainder when 63 is divided by x.
7
Let o(p) = -47*p**3 - 21*p - 51. Calculate the remainder when o(-3) is divided by 33.
27
Suppose 45 = -5*n + 6*n. Suppose -u = 4*u - n. What is the remainder when (-8*11/132)/((-4)/234) is divided by u?
3
Let f(z) be the first derivative of z**4/4 - 19*z**3/3 + 4*z**2 - 89*z + 39. What is the remainder when f(19) is divided by 21?
0
Let v = 58 + 44. Suppose -4*a + 90 = v. Calculate the remainder when 107 is divided by (2 - -26)/2 + a.
8
Suppose -360 = -3*i + 5*p - 3*p, 5*i = 3*p + 598. Calculate the remainder when 452 is divided by i.
104
Suppose 2*r = 2, -2*h - 3*r = -34 - 19. Suppose 4*f = -3*q + 376, 2*f + 4*q = 7*q + 188. Calculate the remainder when f is divided by h.
19
Let v(y) = -92 - 10*y**3 + 52 + y**2 + 2*y + 41. Let c = 2 - 3. Calculate the remainder when v(c) is divided by 4.
2
Let p = 290 - 261. Let x(t) = 2*t**3 + 37*t**2 - 23*t - 33. What is the remainder when x(-19) is divided by p?
14
Suppose 9228*c - 9652 = 9190*c. What is the remainder when c is divided by ((-1)/((-3)/(-111)))/(-1)?
32
Let b = -10452 + 10594. What is the remainder when 573 is divided by b?
5
Suppose 0 = -8*m - 247 + 7. Calculate the remainder when 139 is divided by (1 - 7)*70/m.
13
Suppose -25 = -0*c + 5*c, -2*c + 43 = o. Suppose -30*p = -50*p + 540. Suppose -66*m - p = -69*m. What is the remainder when o is divided by m?
8
Let i be ((-5)/2)/(1 - (-27)/(-30)). Let c = i + 45. Calculate the remainder when c is divided by (-25)/10 + (-12)/8 - -16.
8
Suppose 0 = -75*h + 73*h + 24. Suppose 120 = -9*k + h*k. What is the remainder when 64 is divided by k?
24
Let t = -7599 + 7622. Calculate the remainder when t is divided by -10*(27/(-15) + 1).
7
Suppose 1582*t - 4522 = 1548*t. Calculate the remainder when t is divided by 51.
31
Suppose -4*f - 5*w + 9*w + 5200 = 0, 0 = 3*f - 5*w - 3900. What is the remainder when 3906 is divided by f?
6
Let b(h) = 18*h**2 - 17*h - 65. Let g be b(10). Suppose g + 28 = 59*p. What is the remainder when ((-2)/2)/((-1)/35) is divided by p?
8
Let p(v) = -v**3 + 13*v**2 + 81*v + 26. What is the remainder when p(-8) is divided by 11?
7
Let b(q) = q + 10. Suppose -2*l - 6*l = -64. Let j = 348 + -223. What is the remainder when j is divided by b(l)?
17
Let x = -163 + 259. Suppose -5*b - x = -406. What is the remainder when b is divided by (17/2)/((-11)/(-22))?
11
Suppose 44 + 34 = 2*m. What is the remainder when (-8 + (-15)/(-2))*-18 is divided by 6/(-4)*(-130)/m?
4
Suppose 0 = -4*q - 61 + 53. Suppose -14 = -0*c - c. Let p = q + c. Calculate the remainder when 35 is divided by p.
11
Let w(g) = -g**2 + 2*g + 1. Calculate the remainder when 0 + (-40)/(-50) + 31/5 is divided by w(0).
0
Suppose 4*s = -4*g + 936, 4*g - 5*s - 882 = -0*s. What is the remainder when 532 is divided by g?
76
Calculate the remainder when 50/((2/(-8))/(110/(-176))) is divided by (44/(-10) - -4)*-80.
29
Let y(o) = 711*o**3 - 6*o**2 - 10*o + 15. Calculate the remainder when y(1) is divided by 29.
14
Suppose 173*a = 45*a + 43904. What is the remainder when a is divided by 167?
9
Let s be (-1)/2 + 5/2. Let h(i) be the third derivative of 3*i**6/40 - i**5/30 + i**4/12 - 5*i**3/6 + 75*i**2. What is the remainder when h(s) is divided by 22?
19
Let q = -34 + 36. Suppose a + q*n + 25 = 40, 5*n - 46 = -3*a. What is the remainder when 53 is divided by a?
2
Suppose -9*u = -83*u + 1192 + 6726. Calculate the remainder when 16797 is divided by u.
105
Let v(h) = 15 + 79*h + 8 + 0*h**2 - 92*h - h**2. What is the remainder when 418 is divided by v(-12)?
33
Let m(b) = -1331*b + 10772. What is the remainder when m(7) is divided by 363?
3
Let q(f) = -176*f**2 + 375*f - 23. Let i = -77 + 127. Calculate the remainder when i is divided by q(2).
4
Let x = 19551 + -19549. Let d = -1 + 4. What is the remainder when d is divided by x?
1
Let g(i) = -7*i**2 + 32*i + 203. Let h(q) = 2*q**2 + q + 2. Let z(b) = -g(b) - 4*h(b). What is the remainder when z(-9) is divided by 19?
13
Let v = 8 - 4. Suppose v*w - 20 = -w. Suppose -10*i - 3*i + 91 = 0. What is the remainder when i is divided by w?
3
Suppose -4*d = -3*l + 407, -200*l + 205*l = -d + 663. What is the remainder when 1832 is divided by l?
103
Suppose -8*x - 15 = -151. Suppose x*q - 21*q - 1372 = -4*j, -j = -5*q - 327. Calculate the remainder when j is divided by 25.
22
Let x(b) = b**3 - 19*b**2 - 65*b + 8. Calculate the remainder when x(24) is divided by 83.
0
Let k be (-6)/(-42) + (-4)/28. Suppose -w + 22 = -k. Let y = 644 - 631. What is the remainder when w is divided by y?
9
Let w be 47/9 + (-4)/18. Suppose 5*v + 2*d - 217 = 0, -4*v - w*d = -10*d - 167. Let i = -2731 + 2898. Calculate the remainder when i is divided by v.
38
Suppose -714 = -5*g + u, -2*g + 0*g - 2*u = -288. Calculate the remainder when g is divided by (-5*(-38)/(-190))/(51/52 + -1).
39
Let m = 218 +