divided by a.
1
Let u(t) = -t**2 + 22*t + 16. Let r be u(22). Suppose r*p + 55 = 17*p. Let b = 78 - p. What is the remainder when b is divided by 12?
11
Suppose 747 = -6*a + 4*a + 3*q, 0 = -2*a + 2*q - 742. Let k = 434 + a. What is the remainder when 264 is divided by k?
60
Let m(o) be the second derivative of -o**4/12 + 5*o**3/2 + 29*o**2/2 + 2*o + 118. Calculate the remainder when m(5) is divided by 40.
39
Suppose -11*u = -2*u + 1188. Let q = u + 141. What is the remainder when 59 is divided by q?
5
Suppose 3*l - 1736 = -2*y + 2802, -l + 1518 = 2*y. Calculate the remainder when l is divided by 26.
2
Suppose 4*y - 224 = -5*a, -4*a - 4*y + 77 + 103 = 0. Suppose 17 = -3*q + 32. What is the remainder when a is divided by q?
4
Let t = 59 + -52. Suppose t = 3*z + 1. Suppose -z*n + 371 = 5*k + 2*n, -2*n - 2 = 0. Calculate the remainder when k is divided by 19.
18
Let q = 27 + 7. Suppose -6*g - q - 176 = 0. Let m = g - -45. Calculate the remainder when 21 is divided by m.
1
Let q(u) = -474*u - 109. What is the remainder when q(-1) is divided by 38?
23
Suppose -3*t + 4 - 2 = -2*x, -t - x = 6. Let c(a) = a**2 + 53*a - 146. Calculate the remainder when c(3) is divided by (t/4)/(6/(-156)).
9
Let i = 36 + -21. Let g = -2723 - -2772. Calculate the remainder when g is divided by i.
4
Let a = -5530 + 5777. Calculate the remainder when 5186 is divided by a.
246
Suppose y = 3*w - 189, w + 6*y - 7*y = 63. Suppose -23 = -2*c + w. Calculate the remainder when c is divided by 117/5 - (-2)/(-5).
20
Let u(o) = 3*o**2 + 5*o - 4. Let m be u(3). Let b = 1095 - 1090. Suppose b*j - 3*i = 2*i + 65, 0 = 2*j + i - m. What is the remainder when 63 is divided by j?
12
Suppose -i - 4*p - 20 = 0, 3*i - 3*p - 15 = -0*i. Suppose i = 2*o - 134 - 4. Calculate the remainder when o is divided by 24.
21
Calculate the remainder when 1022 is divided by ((-50)/(-6))/(80/240).
22
Suppose 3 = v - 5. Suppose -14*z = 52 - 10. What is the remainder when z/((-12)/(-20)) + 39 is divided by v?
2
Let p = 54 + -33. Suppose -4*b + 2694 = 666. Suppose -43*v - q - 99 = -44*v, -5*v = -2*q - b. What is the remainder when v is divided by p?
19
Suppose 0 = -5*p - 3*s + 383, -2*p + 166 - 16 = 2*s. Suppose -73*n - 150 = -p*n. Calculate the remainder when 52 is divided by n.
2
Let c(z) = -172*z. Let i = 731 + -718. What is the remainder when c(-3) is divided by i?
9
What is the remainder when 143 is divided by 15/(-3) + 18/3 + 23?
23
Let i = -13612 - -13813. What is the remainder when i is divided by 84?
33
Let i(w) = 3*w**2 + 689*w - 3415. What is the remainder when 616 is divided by i(5)?
91
Let y = 129723 + -129694. Let j(q) = 9*q**2 - 7. Calculate the remainder when j(-6) is divided by y.
27
Let o(g) = -g + 31. Suppose 4*l - 2*l = 0. Calculate the remainder when o(l) is divided by 8/44 + (-106)/(-22).
1
Let b be 484/(-10) + (-6)/10. Let a(f) = -f**2 - 51*f - 174. Let x be a(-47). What is the remainder when 50 is divided by x/b + (-256)/(-14)?
14
Let y be (1/3)/(-1 - 3856/(-3855)). Let g = -778 + y. Calculate the remainder when g is divided by 85.
82
Let n be ((0 + 2)/((-3)/(-9)))/2. Suppose 3*j = 2*u + 1 - 219, -n*j + 436 = 4*u. Let a = -82 + u. Calculate the remainder when 106 is divided by a.
25
Let h(c) = -c**2 - 11*c - 37. Let x be h(-6). What is the remainder when 69 is divided by (x/14)/((-2)/96)?
21
Let p be ((-3)/1)/(1 - (-6)/(-9)). What is the remainder when 58 is divided by (39*p/27)/((-2)/4)?
6
Suppose -3*g - 15 = 2*v, -5*v + 5*g = 3*g + 85. Calculate the remainder when 64/(-10)*v/2 is divided by (-244)/732*(-38 + -1).
9
Let w = -7032 - -7232. What is the remainder when w is divided by 15?
5
Let i = 6026 + -4227. Calculate the remainder when i is divided by 30.
29
Let p(f) = -53*f - 30. Let b be p(8). Let i = -448 - b. Suppose -4*n + 54 = -2*n. What is the remainder when n is divided by i?
3
Let k(r) = 0*r - 2 + 8*r**2 + r**3 - 16 - 4 - r + 2*r. What is the remainder when 52 is divided by k(-7)?
12
Let v(u) = -u**3 + 9*u**2 - 7*u + 2. Suppose -31 = -4*p + n + 27, -60 = -4*p + 2*n. What is the remainder when v(7) is divided by p?
9
What is the remainder when 4679 is divided by (-39)/(1872/128)*-9?
23
Let j = 52 - 47. Suppose -2*a + u = -j*a + 171, -2*a + 4*u = -114. What is the remainder when 170 is divided by a?
56
Let a(q) = 15*q**3 + 9*q**2 + 13*q - 30. Let g(n) = 7*n**3 + 4*n**2 + 6*n - 16. Let w(p) = 4*a(p) - 9*g(p). Calculate the remainder when w(0) is divided by 5.
4
Suppose -10*y + 1180 = -15*y. Let r = y - -250. What is the remainder when 28 is divided by r?
0
Let j(z) = -854*z - 1508. What is the remainder when 479 is divided by j(-2)?
79
Let j(z) = z**3 + 2*z**2 - 135*z - 71. Calculate the remainder when 2207 is divided by j(11).
14
Let o = -2601 - -2942. What is the remainder when o is divided by 134?
73
Calculate the remainder when 145 is divided by 218/12 + 11/(-66).
1
Let h(y) = 10*y - 75. Let w be h(8). Suppose 0 = 11*v - 27 + w. What is the remainder when 9 is divided by (-2)/(v/(2 + -3))?
0
Let s = 92 - 81. Let p be 168/(-16)*12/(-7). Suppose p - 39 = -j. Calculate the remainder when j is divided by s.
10
Let y(b) = 5*b**2 - 5*b - 22. Suppose -5*i = 8 + 2, -5*s = 5*i + 25. What is the remainder when 149 is divided by y(s)?
35
Let r(k) = -k**2 - 26*k - 101. Suppose 333 - 453 = 8*y. Calculate the remainder when 234 is divided by r(y).
42
Suppose -b = 5*x + 132, -2*b + 0*b = -x - 33. Let g(i) = -7*i - 43. Calculate the remainder when g(x) is divided by (-5 - (1 - 2 - 3))*-25.
21
Suppose 5*s + 40 = 3*c, 4*s - 9 + 14 = -3*c. Calculate the remainder when (-176)/33*(s + -10) is divided by 26.
2
Suppose 5*r - 108 = -2*h, 0 = -2*r - 4*h - 0*h + 56. Let y = 878 - 1767. Let k = y - -923. What is the remainder when k is divided by r?
14
Let h(i) = 2*i**3 - 5*i**2 - 5*i + 5. Let o be h(4). Let f = 1074 + -1060. Calculate the remainder when f is divided by (-2)/(-8) + o/12.
2
Let q = -33 + 50. Calculate the remainder when -122*(-1)/4 + 25/50 is divided by q.
14
Let j = 26 - 10. Calculate the remainder when (2/(-5))/(22/(-2310)) is divided by j.
10
Let t(q) be the first derivative of -q**4/4 + 17*q**3/3 + 10*q + 107. Calculate the remainder when t(5) is divided by 78.
76
What is the remainder when (2*(-12)/16)/((-17)/((-244392)/(-36))) is divided by 12?
11
Suppose -17*h + 28*h - 9295 = -44*h. Calculate the remainder when 2547 is divided by h.
12
Let g be -4 - (4 + (-9 - -5)). Let i be (1 + g)/(6*1/(-10)). Suppose -157 + 32 = -i*w. Calculate the remainder when 70 is divided by w.
20
Suppose 0 = -15*x + 292 - 52. What is the remainder when 937 is divided by x?
9
Let r = 3233 - 3146. Calculate the remainder when 247 is divided by r.
73
Suppose 126 + 219 = 5*o. Let v(n) = 428*n**3 + 5*n**2 - 4*n - 1. Let k be v(1). Let a = 438 - k. Calculate the remainder when o is divided by a.
9
Suppose 13*i - 25 = 8*i. Suppose i*y - 377 = 4*y. Calculate the remainder when y is divided by 9.
8
Calculate the remainder when (-227943)/(-12) + 582/776 is divided by 190.
186
Suppose -4*a + 102 = 2. Let g(l) = l**3 + l**2 - 5*l - 3. Calculate the remainder when g(4) is divided by a.
7
Suppose -3*l + 8051 + 3606 = q, 3*q = -3*l + 11661. Let b be (0 - 1)/((-2)/(-4)). Calculate the remainder when l/84 - b/(-8) is divided by 7.
4
Suppose 3*d - 3*k - 2880 = 0, -59*k = -5*d - 57*k + 4806. What is the remainder when d is divided by 95?
12
Suppose -1926 = -0*g - 2*g. Suppose 2*w + 1 = -5*v, -2*w - 14 = -4*w - 2*v. Calculate the remainder when g/27 - (1 - (-1)/(-3)) is divided by w.
11
Let t(z) = -2*z - 30. Let y be t(-12). Let q be 158/1 - (-18)/y. Suppose 3*c - q = -p - 51, -c + 38 = p. What is the remainder when 60 is divided by c?
27
Let x(v) = -v**2 + 13*v - 49. Let t be x(8). Let p = 21 - 17. What is the remainder when p + 3/(t/(-69)) is divided by 15?
12
Let o = 684 - 705. What is the remainder when 3/o + (239/7 - 2) is divided by 22?
10
Calculate the remainder when 316 is divided by 2*7*(-555)/(-74).
1
Suppose -10 = -3*m - 2*m. What is the remainder when ((-339)/(-226))/(6/224) is divided by (6/(-9))/(m/(-57))?
18
Calculate the remainder when ((-644)/42 + 12)/(13/(-3276)) is divided by 170.
160
Let w = 33851 + -33738. What is the remainder when 261 is divided by w?
35
Let s = 577 + 339. Let k = s - 866. Calcul