hat is the remainder when 37 is divided by r?
16
Let b(f) = -9*f - 15. Let u = -15 - -37. Suppose -30*s = -u*s + 96. Calculate the remainder when b(s) is divided by 32.
29
Let x(g) = -42*g - 1740. Let h(s) = 25*s**2 + 4*s + 1. Calculate the remainder when h(3) is divided by x(-42).
22
Suppose -1195 = 114*p + 113*p - 232*p. Calculate the remainder when 257 is divided by p.
18
Let a be -3 - ((-24)/32)/((-1)/(-8)). Suppose a*v + 61 = y, -y + v + 22 + 39 = 0. Suppose 0 = -10*r + 13*r - 27. What is the remainder when y is divided by r?
7
Suppose -3*q + 6*q = 366. Suppose 5*v + 0*v - q = 2*a, 4*v - 4*a = 100. Let l(s) = 3*s + 53. Calculate the remainder when v is divided by l(-13).
10
Suppose 6 = -2*y, -3*l = -151*y + 154*y - 6993. What is the remainder when l is divided by 73?
71
Suppose -3*b + b - 810 = -4*w, -3*b = w - 220. Suppose -29 + w = 8*z. Calculate the remainder when 175 is divided by z.
21
Let w(v) = v**3 + 28*v**2 + 2*v + 71. What is the remainder when w(-26) is divided by 677?
17
Suppose 148 = 5*h - 7*h. Let i = h + 83. What is the remainder when 19 is divided by i?
1
Suppose 3*g - 53 = 10. Let o = 11958 - 11837. What is the remainder when o is divided by g?
16
Let z = 303 + -298. Suppose j = 2*j + 4*w - 40, -z*w - 20 = 0. Let c(k) = -k**2 + 15*k - 7. Calculate the remainder when j is divided by c(12).
27
Suppose 2*b - 3*h - 101 = 0, -2*h + 178 = 4*b - 64. Suppose -3*o - 14 = -o. Let w = o - -27. Calculate the remainder when b is divided by w.
18
Suppose -2*b - 226 = 5*x, -3*x - 35 - 94 = -b. Calculate the remainder when 11/(x/24) + 41 is divided by 6.
5
Let t = -38 + 115. Let k = t - 50. Suppose 5*i + 3*x = 35, -2*i + x = -5*i + 25. Calculate the remainder when k is divided by i.
7
What is the remainder when 461 is divided by 12*187/(-88)*14/(-3)?
104
Let u = 14 + -25. Let o = 32 - 21. Let k = o - u. Calculate the remainder when 83 is divided by k.
17
Let d(w) be the second derivative of w**3/2 + 7*w**2 + 7*w - 7. Let h(l) = 2*l - 7. Let u be h(6). Calculate the remainder when d(u) is divided by 4.
1
Suppose l - 1132 = -5*c, 5*c - 2*l = 2*l + 1122. Suppose -x - u = -39, -46*u + 48*u + 122 = 3*x. What is the remainder when (c/(-4))/((-4)/8) is divided by x?
33
Let w be (-448)/(-2) - (0 + 4 + -4). What is the remainder when 92 is divided by 2/(-4)*w/(-7)?
12
Let t = 164 + -76. What is the remainder when 1314 is divided by t?
82
Suppose 11*q - 40 = -128. Calculate the remainder when 298 is divided by (-4 + 1 - -72) + q.
54
Let q = -9351 - -9392. Calculate the remainder when 67 is divided by q.
26
Suppose 2172*w = 2152*w + 1180. Calculate the remainder when 2654 is divided by w.
58
Suppose 32 = 2*k - 0*k. Let a = 3750 - 5313. Let c = -1505 - a. What is the remainder when c is divided by k?
10
Let u(h) be the second derivative of -h**5/20 - h**4/3 + 11*h**3/6 + 3*h**2/2 + 60*h. What is the remainder when 21 is divided by u(-6)?
3
Let q(b) = 7*b**3 + 4*b**2 - 11*b - 75. What is the remainder when q(6) is divided by 49?
45
Suppose -22833 = -24*w - 6345. What is the remainder when w is divided by 77?
71
Suppose -2*x = 4*f - 378, -4*x + 2*f + 832 = 206. What is the remainder when x is divided by (-172)/(-6) - (-2)/(-3)?
23
Let r be (-9)/(-3) - (-3 - -14). Let h = -153 - -227. What is the remainder when h is divided by 6*4/r*(-280)/42?
14
Let d = 201 - 144. Let q = 63670 - 63447. What is the remainder when q is divided by d?
52
Let p = -7371 + 7597. What is the remainder when p is divided by 36?
10
Let w = -352 - -199. Let g = 160 + w. Suppose 4*d + 2*l = -2*l + 132, -5*d = 3*l - 163. Calculate the remainder when d is divided by g.
4
Let h = -806 - -806. Suppose 19*f - 5*f - 588 = h. Calculate the remainder when 82 is divided by f.
40
Let c(f) = 64*f - 94. What is the remainder when 638 is divided by c(2)?
26
Let o(b) = 12*b - 35. Let q be o(6). Let p = -26 + q. Let d(t) = t**3 - 4*t**2 - t + 52. Calculate the remainder when d(0) is divided by p.
8
Let t(f) = -1120*f - 9952. Let r(d) = 10*d**2 - d + 1. What is the remainder when t(-9) is divided by r(1)?
8
Let j(x) = -15*x + 731. What is the remainder when 605 is divided by j(38)?
122
Let p = -10 - -16. Let h be 14/p + ((-96)/(-9))/(-8). What is the remainder when (62/1)/h + (-17 - -18) is divided by 8?
7
Suppose -15 = 3*i, 0 = 4*l + 4*i + 2 + 2. Suppose -5*b + m + 1474 = 384, -l*b + 3*m = -872. What is the remainder when b is divided by 16?
10
Let d(o) = 0*o**2 + 5*o + 2*o**2 + o + 4*o - 21. Let x(f) = 11*f - 31. Let n be x(2). What is the remainder when d(n) is divided by 11?
7
Let l = -9009 + 9491. Calculate the remainder when l is divided by 73.
44
Let j = 18 + -3. Let r be (-8 + 4)/(-8)*8. Suppose 4*g + g = m - 88, -r*m - g = -289. What is the remainder when m is divided by j?
13
Let q(j) = -j**3 + 4*j**2 + 9*j + 8. What is the remainder when q(-6) is divided by (2 - (-40 - -8)) + (-5)/(-8 + 3)?
34
Let u be 5/3 + (-24)/(-72). Suppose -u*n = 11 - 31. What is the remainder when (2 + (-24)/4)*(-1 - 7) is divided by n?
2
Suppose -5*r = -3*i + 853, 5*i - 5*r - 1139 = i. Suppose -2*y + 8 = -3*a + 102, 0 = 2*y - 2. Calculate the remainder when i is divided by a.
30
Suppose -20*q + 6 = 15*q - 34*q. What is the remainder when 88 is divided by q?
4
Calculate the remainder when 3083 is divided by -63*(14 + -32 + 17).
59
Let j(l) = -105*l**3 - 5*l**2 + 5*l + 33. What is the remainder when j(-2) is divided by 84?
3
Let k(u) = -u**3 - 19*u**2 - 32*u + 96. What is the remainder when 100 is divided by k(-17)?
38
Suppose -5*u + h + 403 = 0, -4*u = -u - 5*h - 233. Suppose -u + 221 = 7*q. What is the remainder when 56 is divided by q?
16
Let t(o) = o**2 - 179*o + 1537. What is the remainder when 3687 is divided by t(9)?
5
Suppose 0 = 4*y + 3*j - 9, 4*y = 4*j - 11 + 27. Suppose u = -y*v + 49, 12*u - 131 = 8*u + v. What is the remainder when 199 is divided by u?
29
Let j(t) = -t**3 - 33*t**2 + 22*t - 80. Calculate the remainder when j(-34) is divided by 97.
37
Let f be 18/(-99) + (-35)/(-11). Calculate the remainder when 2 + 1*978/f is divided by 33.
31
Let n(j) = 10*j**2 - 4*j - 1. Let l = -50 + 100. Suppose -2*s = 44 - l. What is the remainder when n(s) is divided by 41?
36
Suppose -2*z - 1 = -3*h, 5*h + 6*z - 2*z = 31. Suppose -h*w = -0*w - 12. Suppose -3*d - w = -49. Calculate the remainder when 27 is divided by d.
12
Let k = 195 + -305. Let n = 21 + k. Let c = -75 - n. Calculate the remainder when 95 is divided by c.
11
Suppose -7*y = -12*y + 15. Suppose 0 = -3*f + 2*q - y*q + 20, -f + q = 0. Let n = -124 + 143. What is the remainder when n is divided by f?
4
Suppose 7*l = 2*h + 2*l - 893, 7729 = 18*h - l. Calculate the remainder when h is divided by 230.
199
Let z be 1*4/(-2) + 14. Let g(v) = v**3 - 12*v**2 + 5*v + 3. Let t = 34 - 21. Calculate the remainder when g(z) is divided by t.
11
Let a = 426 - 124. Let t = a - 282. What is the remainder when 31 is divided by t?
11
Let f(n) = -3*n**2 + 73*n + 1289. Calculate the remainder when 122 is divided by f(36).
6
Let z(n) = -29*n**3 + 4*n**2 + 21*n + 7. Calculate the remainder when z(-3) is divided by 68.
15
Suppose -8*f = -9*f - 165. Let p = -156 - f. Suppose 3*t - 4*t + 66 = -3*a, 4*t = -a + 199. Calculate the remainder when t is divided by p.
6
Let d(l) = 21*l + 406. Let m be d(-17). Suppose p = 47 + 15. Let i = p - m. Calculate the remainder when 62 is divided by i.
10
Let t(h) = -h**2 - h - 1. Let f(o) = 7*o**2 - o - 18. Let g(p) = f(p) + 4*t(p). Calculate the remainder when g(7) is divided by 19.
14
Suppose 979*y - 977*y + 2*n = 30, -5*y = 2*n - 75. Let q(o) = -o**2 - 10*o - 8. What is the remainder when q(-6) is divided by y?
1
Let k = 620 - -6660. Suppose 52*r = 32*r + k. Calculate the remainder when r is divided by 9.
4
Suppose 2*j - 2*l = -2, 0 = -j + 3*l - 2 - 5. Suppose -5*w - 2*t - j*t = -332, 0 = -w + t + 70. What is the remainder when 134 is divided by w?
66
Let b(l) = -19*l - 181. What is the remainder when 513 is divided by b(-17)?
87
Suppose -7*t - 11 = 4*t. What is the remainder when 87/((t/(-2))/((-2)/(-12))) is divided by 8?
5
Let s = 56 + -17. Let k = -3818 - -3822. Suppose k*v = v + s. What is the remainder when v is divided by 7?
6
Let b = 252 - 210. Let q = 65 - b. What is the remainder when q is divided by 16?
7
Let f be (-552