Suppose -5*d = -3*k + 214, 0 = 42*d - 43*d - 5. Calculate the remainder when 5217 is divided by k.
51
Let r(d) be the first derivative of -d**4/4 - 16*d**3/3 + 15*d**2/2 - 12*d - 13. Let w be r(-20). What is the remainder when 86 is divided by 2/18 + w/72?
14
Suppose 0 = 15*z + 12993 - 603. Let a = 836 + z. Let t = -58 - -107. What is the remainder when t is divided by a?
9
Let i = 442 - 434. Suppose 56 = -0*p + i*p. Calculate the remainder when 26 is divided by p.
5
Let y = -23 + 60. What is the remainder when (-3)/21*6 - (-25)/((-1750)/(-14690)) is divided by y?
24
Suppose 0 = -5*f - 2*a - 74 + 385, 5*a = 2*f - 136. What is the remainder when 1257 is divided by f?
60
Suppose 3*u = r - 213, -2*u - 3 + 1 = 0. Suppose r = 10*q - 20. Let o = 17 - 4. What is the remainder when q is divided by o?
10
Let i = -28 - -311. Calculate the remainder when i is divided by 25.
8
Suppose -10*w - 15*w = -325. What is the remainder when 594/26 - (-10)/65 is divided by w?
10
Suppose 0 = 113*u - 222*u + 53737. What is the remainder when u is divided by 118?
21
Let m(c) = c**3 - 20*c**2 + 62*c - 2. Let u be m(16). Let v = 41 + u. What is the remainder when 90 is divided by v?
6
Suppose -8 = -17*j + 19*j. Calculate the remainder when (2505/21 - 2/7) + j is divided by 32.
19
Suppose 2*a + y = 35 - 12, 4*y + 64 = 4*a. Let k = -3 + 108. Let b = k - 68. What is the remainder when b is divided by a?
11
Calculate the remainder when (-2)/8 + (-1146)/(-8) is divided by (1548/344)/((-1)/(-10)).
8
Calculate the remainder when (-49)/7*((-4432)/56 - -4) is divided by 64.
14
Suppose 11*d - 447 = 6*d - 4*b, -4*d + b + 387 = 0. Calculate the remainder when 5404 is divided by d.
84
Suppose 5*s + 135154 = 135254. What is the remainder when 911 is divided by s?
11
What is the remainder when (-4 + (-14)/(-4))*122*1415/(-5) is divided by 16?
15
Let c(z) = z**3 + 37*z**2 + 70*z + 23. Let b be c(-35). Let t = b + 43. Calculate the remainder when 724 is divided by t.
64
Suppose 0 = -6*n + 247 + 41. Calculate the remainder when 150 is divided by n.
6
Let k = 14 + -12. Let h = k + -3. Let i = h - -6. Calculate the remainder when 23 is divided by i.
3
Let t(j) = -5*j**2 - 1 + j**2 + 6*j**2 + 2*j**3 + 8*j - 8*j**2. Let g be t(3). Let q = 35 + g. What is the remainder when q is divided by 12?
10
Suppose 223 = -t + y + 408, 3*t - 4*y - 561 = 0. What is the remainder when t is divided by 158?
21
Let z = -26936 - -28315. Calculate the remainder when z is divided by 63.
56
Suppose 3*r - i = -10 + 227, 4*i = -r + 81. Calculate the remainder when r is divided by 1220/45 + (-370)/333.
21
Calculate the remainder when 2139 is divided by 8/76 + (-10584)/(-532).
19
Let w = -1722 + 1826. What is the remainder when w is divided by 15?
14
Suppose 0 = 2*m - 791*f + 796*f - 32088, 64164 = 4*m + 4*f. What is the remainder when m is divided by 10?
9
Let f(c) = -21*c + 149. Let p be f(7). Suppose -4*h = -8, 3*h + h = p*r. What is the remainder when 43 is divided by r?
3
Let i(l) = -3*l**2 - 50*l - 39. Calculate the remainder when 1141 is divided by i(-13).
101
Let t be 1 + -4 + 16 + 1. Let o(k) = k**3 - 13*k**2 - 13*k + 2. Suppose 16*b + 288 = 768. What is the remainder when b is divided by o(t)?
14
Let l(s) = -27*s**3 + s**2 - s - 4. What is the remainder when l(-2) is divided by 380/(-8)*(-72)/60?
47
Let t(k) = -2*k**3 - 33*k**2 - 74*k - 49. Calculate the remainder when 33 is divided by t(-14).
5
Suppose 1828 = 168*r + 393 - 6461. Suppose 3*w + 2*m - 32 = 0, -11 = -2*w + w - m. Calculate the remainder when r is divided by w.
7
Let s be -6 + (-320)/(-52) + (-256)/(-26). Let k(n) = -n**2 - s - 1 - 5*n + 5 - 6*n. What is the remainder when k(-10) is divided by 1?
0
Let a(x) = 155*x - 22. Let o be a(-7). Let g = -532 - o. What is the remainder when g is divided by 36?
35
Let i(d) = d**2 + 2. Let q be i(0). Let u(j) = 13*j**2 + 2*j - 1. Calculate the remainder when u(q) is divided by ((-31035)/(-795) - 27) + 10/(-265).
7
Let g = 35122 - 35113. Let r(n) = 4*n**2 + 4*n - 4. Calculate the remainder when r(-4) is divided by g.
8
Let n = -1572 - -1586. Calculate the remainder when 166 is divided by n.
12
Let a(j) be the first derivative of 5*j**4/4 - 2*j**3/3 + j**2 + 31. What is the remainder when a(3) is divided by 21?
18
Let x = 206 - 112. Let c = x + -90. Suppose 70 = n + 3*p, 12 = 4*p - c. What is the remainder when n is divided by 30?
28
Let s = -423 - -613. Let y(v) = v**3 + 11*v**2 + 10*v + 13. What is the remainder when s is divided by y(-10)?
8
Let t = -11849 - -11933. Calculate the remainder when 16041 is divided by t.
81
Let g = -88 + 147. Let b = g - 109. Let w = b + 51. Calculate the remainder when 1 is divided by w.
0
Let v(k) = -k**2 + 16*k + 31. Let d be v(17). Suppose 2*c - 8 = -l, l - c - d = -0*c. What is the remainder when 33 is divided by l?
9
Let n(d) = -4*d**3 + 167*d**2 + 49*d + 194. Calculate the remainder when n(42) is divided by 31.
23
Let p = -91 - -120. Let i(v) = 16*v**2 + 49*v - 3. What is the remainder when i(-4) is divided by p?
28
Let r = -11975 + 12071. Suppose 4*g - g - 123 = 0. What is the remainder when r is divided by g?
14
Let a(b) = -2*b - 23. Let l = 10 - 9. Suppose -r = -l, 2*v + 35 = -4*r + 3*r. What is the remainder when a(v) is divided by 4?
1
Suppose -3*g - 11 = -4*o + 8, -3*o + 4*g + 16 = 0. Calculate the remainder when 980 is divided by o.
0
Let r be 7/1 - (4 + 0). Let f be 7/(1 + -15)*(-1 - r). What is the remainder when 10 is divided by 33/4 + (-2)/16*f?
2
Suppose 20*k - 440 = 9*k. What is the remainder when 38 is divided by (1 + -2)/((-2)/k)?
18
Let p(l) = 114*l - 156. Let z be p(-6). Let w = z - -875. What is the remainder when 489 is divided by w?
34
Calculate the remainder when (-11013)/(-4)*(-368)/(-276) is divided by 72.
71
Let t(j) = 52*j - 2660. Calculate the remainder when t(63) is divided by 136.
72
Suppose 0 = -5*k + 2*d + 895, -5*k + d + 796 + 99 = 0. Calculate the remainder when 15035 is divided by k.
178
What is the remainder when 364 is divided by 6 - ((-1)/(12/(-880)))/((-20)/90)?
28
Suppose -13*p + 15*p = 34. Suppose 0 = -2*a - p + 57. Let d(h) = -59*h - 1. What is the remainder when d(-1) is divided by a?
18
Let w = -1839 + 2103. Suppose 12*f = -183 + 999. What is the remainder when w is divided by f?
60
Let t = -16 - -25. Let y(w) = 3*w - 34. Let m(c) = 26*c**2 + c - 2. Let j be m(1). Calculate the remainder when y(j) is divided by t.
5
Let w(y) = -y**3 - 6*y**2 + 5*y + 4. What is the remainder when 11 - (-2640)/36 - (-12)/18 is divided by w(-7)?
13
Let t(u) = -20*u**3 - 2*u**2 - 3*u. Let n = 171 - 172. Calculate the remainder when 110 is divided by t(n).
5
Let p be (912/(-9))/(-4) + (-5)/15. Let u = p + -23. Calculate the remainder when 88 is divided by 3/(u/(3 - -9)).
16
Suppose 3*g + x = 1063, 7*g - 4*g - 1061 = x. Suppose -g + 120 = -6*w. Calculate the remainder when 131 is divided by w.
14
Let b = -35 + 29. Calculate the remainder when 82 is divided by 29 + (5 - (5 + b)).
12
Suppose 6*a - 9 + 21 = 0. Let p(l) = -l + 3. Let x be p(a). Suppose 4*u + 2*t - 204 = -2*t, x*t + 25 = 0. What is the remainder when u is divided by 15?
11
Let z be (2/(-5) + (-14)/(-10))*2. Suppose -9 = 3*t, 4*l + z*t - 25 = 5*t. Calculate the remainder when 32 is divided by l.
0
Suppose 9*u - 2157 + 3148 - 2008 = 0. Let o(g) = -18*g**3 + g. Calculate the remainder when u is divided by o(-1).
11
What is the remainder when 1215 is divided by (-3 - 2) + (-564)/(-8) + (-24)/16?
63
Suppose 23*v = 106 + 32. Let h(r) = r**3 - 4*r**2 + 6*r + 15. What is the remainder when h(v) is divided by 9?
6
Suppose 1566 = -17*i + 71*i. Calculate the remainder when 21138 is divided by i.
26
Suppose 2216*y - 1440 = 2201*y. What is the remainder when 944 is divided by y?
80
Let j = 152 - 45. Suppose -2*o + 143 - j = 0. Calculate the remainder when 54 is divided by o.
0
Let z(t) = -t**3 + 3*t**2 + 15*t + 20. Let n be z(6). Calculate the remainder when n - (-12 + 9) - (-2 + -454) is divided by 66.
65
Suppose -272 = -a - a. Suppose -4*i + w = -921 - 221, 0 = 4*i + 4*w - 1052. Calculate the remainder when i is divided by a.
9
Suppose -4*t - 1 = -321. What is the remainder when t is divided by ((-42)/(-378))/(2/(-30))*-3?
0
Suppose 0 = -3*p - 73 + 88. Let r = 80 + p. Let z = r - 70. What is th