e remainder when 1696 is divided by p.
31
Suppose -667 = 2*f - 703. Calculate the remainder when 1776 is divided by f.
12
Let u = 126 + 296. Let l = u + -412. What is the remainder when 24 is divided by l?
4
Let c(d) = 95*d**2 + d + 2. What is the remainder when c(2) is divided by (-1634)/28595 - (-78)/35*44?
90
Let b = 262 + -148. What is the remainder when b is divided by (11 + -10)*(2 + -2) - (-17 + 2)?
9
Let n(m) = -m**3 - 43*m**2 + 64*m - 1157. Calculate the remainder when 1253 is divided by n(-45).
5
Suppose 5*h + 2*j = 3905, 20*j - 3885 = -5*h + 22*j. What is the remainder when h is divided by 385?
9
Let o be (25 + 0 + 1)*-11. Suppose -191 = 603*k - 602*k. Let f = k - o. Calculate the remainder when f is divided by 32.
31
Let y(z) = -z**3 - 5*z**2 + 2*z - 1. Let o = 166399 + -166326. Calculate the remainder when y(-8) is divided by o.
29
Suppose 434*o + 5181 = 557*o - 1461. What is the remainder when 769 is divided by o?
13
Suppose 11011 = 17*t - 4969. What is the remainder when t is divided by 95?
85
Suppose -2*b - 2*z + 2 = -10, 3*z = b - 14. Suppose -16 = -156*h + 148*h. What is the remainder when (h*82/(-8))/((-3)/6) is divided by b?
1
Suppose 0*t - 5*t + x = -25, 9 = -4*t - 5*x. What is the remainder when ((-154)/(-49))/((-138)/(-42) - 3) is divided by t?
3
Let w(v) = 2*v**3 + 40*v**2 + 18*v + 52. What is the remainder when w(-17) is divided by 186?
178
Calculate the remainder when 18*(-6)/(-18) + 36 is divided by (4/1)/((-6)/(-12)).
2
Suppose 519 = 4*t - 5*a, 0 = -5*t + 5*a - 89 + 734. Suppose 8*y - t = 314. Suppose 22*h = 27*h - y. What is the remainder when 42 is divided by h?
9
Suppose -t - 30 = -6*t. Suppose 4*a = -3*z - 21 + 7, -4*a = -5*z + 30. Suppose z*x + x = t. Calculate the remainder when 2 is divided by x.
0
Let d = -45 + 39. Let r = d + 15. Let c = 637 + -602. Calculate the remainder when c is divided by r.
8
Suppose 5*i - 750 = -0*i. Let h(l) = 7*l**3 - 52*l**2 - 37*l + 91. What is the remainder when i is divided by h(8)?
48
Let c(s) = -s**3 - 5*s**2 + 4*s + 1. Let k be (-24)/(-30)*5/(-1) + -2. Let q be c(k). Suppose -2*a + 13 = -q. Calculate the remainder when 62 is divided by a.
10
Suppose 0*y - 2*y - 180 = 0. Let a = y - -158. What is the remainder when a is divided by 35?
33
Let g(p) = p**2 + 2*p - 17. Suppose 88 = -17*w + 326. What is the remainder when g(9) is divided by w?
12
Suppose 0 = 4*o - 4*r - 8, 6 = 3*o - 0*r - r. Suppose -3*g - o*g = -50. What is the remainder when (24/(-28))/((-10)/455) is divided by g?
9
What is the remainder when (-8)/(-32)*-40*-32 is divided by 16?
0
Let q(f) = 87*f + 1718. Let m(x) = -x - 2*x - 4 + 0*x + 0*x. Calculate the remainder when q(-18) is divided by m(-7).
16
Suppose 130*d = 127*d. Suppose w + 991 = -d*t + 3*t, w = -4. Calculate the remainder when t is divided by 30.
29
Let v(g) = -g**3 - 21*g**2 - 6*g + 31. Let j be v(-21). Suppose -3*o - j = 137. What is the remainder when 1 + 0 + 1 - o is divided by 21?
16
Suppose -211 = -6*c + 47. Let x = 81 - c. What is the remainder when (-42)/(2 - (-57)/(-24)) is divided by x?
36
Suppose -28*o - 18590 = -173*o + 2*o. What is the remainder when 921 is divided by o?
11
Let b = -204 - -206. Let w(r) = r**3 + 3*r**2 - r + 5. What is the remainder when w(b) is divided by 3?
2
Suppose 717*o = 711*o + 2478. What is the remainder when o is divided by 46?
45
Let a(v) = 5*v**3 - 210*v**2 + 32*v + 92. Calculate the remainder when a(42) is divided by 40.
36
Suppose 0 = d + 5*c + 10, 0 = 3*d + 5*c - c - 25. Let x = 116 + -116. Suppose x = 16*r - 621 - 35. Calculate the remainder when r is divided by d.
11
Let v(p) = 205*p - 11. Let u(a) = -207*a + 9. Let b(q) = -5*u(q) - 4*v(q). What is the remainder when b(1) is divided by 27?
25
Let c(y) = 2*y**2 + 24*y + 25. Let g be 3/6 + 46/(-4). Let j(r) = 2*r**3 - 12*r**2 - 3*r + 22. What is the remainder when j(6) is divided by c(g)?
1
Let j = 16490 + -13255. Calculate the remainder when j is divided by 141.
133
Suppose 3*x - 5*m = 19, 5*x - m + 620 = 681. What is the remainder when 64 is divided by x?
12
Let y = -648 + 1558. Suppose 275*q - 1339 - 637 = 8474. Calculate the remainder when y is divided by q.
36
Suppose -210*f + 63*f = -24990. Calculate the remainder when 5779 is divided by f.
169
Let q(y) = -2*y**2 - 8*y + y**2 + 33 - 10 - 11*y - 112. Calculate the remainder when q(-9) is divided by 1 + 0/(0 - -1).
0
Let v(w) be the third derivative of w**5/60 - 2*w**4/3 + w**3/2 + 54*w**2 + 2*w. What is the remainder when v(25) is divided by 33?
30
Suppose 3*y + 7*l - 11*l = 79, 20 = 4*l. Let g = -42 - -26. What is the remainder when 14/(-2)*12/14*g is divided by y?
30
Suppose 3*l - 228 = -l. Let u(j) = 2*j**2 - 579*j + 24529. Calculate the remainder when l is divided by u(238).
12
Calculate the remainder when 4469 is divided by (-26)/143 + 2948/242.
5
Suppose -q = 2*q + 3*a - 21, 5*q = -4*a + 37. Calculate the remainder when (-4)/14 - 6984/(-42) is divided by q.
4
Let f be 55 + 7/(35/15). Let r = 60 - f. Suppose 7*m - 460 = r*m. Calculate the remainder when m is divided by 12.
8
Suppose -6*q - 136 = -1126. Let y = 181 - q. What is the remainder when 86 is divided by y?
6
Let a(v) = 38*v**2 + 234*v + 42. Calculate the remainder when 455 is divided by a(-6).
5
Suppose -q - 42 = -24*z + 23*z, z = -5*q + 24. What is the remainder when 596 is divided by z?
11
Suppose 0 = 14*s + 131 - 47. Suppose 0 - 6 = -3*c, 0 = d - 4*c - 50. Calculate the remainder when d is divided by 200/(-12)*s/5.
18
Suppose 445 = 77*b - 16*b - 409. What is the remainder when 796 is divided by b?
12
Suppose 50 = 66*w - 61*w. Suppose 4*v = 2*v + w. What is the remainder when 12 is divided by v?
2
Suppose s - 9 = 5*b - 632, -4*b = 4*s - 508. Let a = -22612 + 22630. Calculate the remainder when b is divided by a.
17
Let r(q) = q**2 + 43*q + 472. Suppose 0 = -a + 2 - 0. Suppose 0 = -v - a*v + 18. What is the remainder when r(-24) is divided by v?
4
What is the remainder when 1104 is divided by (-425)/(-175) - 15/35 - -106?
24
Suppose -4*w = -t - 0*w - 1, -t + 5*w - 4 = 0. What is the remainder when 43 is divided by t?
10
Let t(q) = 121*q - 1. Suppose -u = r + 5*r - 63, 3 = -2*u + u. Calculate the remainder when t(4) is divided by r.
10
Suppose 62*b = 37*b + 725. What is the remainder when 3070 is divided by b?
25
Let u = -491439 - -491539. Let x = -10 - -4. What is the remainder when u is divided by (-310)/x - 2/3?
49
Let h(u) = -4*u + 60. Let f be h(15). Suppose f = 2*c - 3*x - 221 + 59, 254 = 3*c + x. What is the remainder when c is divided by 29?
26
Let v(p) = 120*p + 6763. Calculate the remainder when 15991 is divided by v(-56).
38
Calculate the remainder when (24/10)/((-54)/(-18765)) is divided by 141.
129
Let m = -9 - -9. Suppose -5*x = -2*v + 2, -3*x = -m*v - v. Calculate the remainder when ((-1155)/5)/7*(-1)/3 is divided by v.
5
Let l = 15 - 7. What is the remainder when 253 is divided by l?
5
Let g(q) be the second derivative of -2*q**3/3 - 2*q**2 - 19*q. Calculate the remainder when (1/(-3))/((-6)/126) is divided by g(-2).
3
Let l(i) = -25. Let p(a) be the second derivative of a**3/6 - 12*a**2 - 2*a. Let j(o) = 6*l(o) - 5*p(o). Calculate the remainder when 58 is divided by j(-10).
18
Suppose -2*u - 163 = -5*b - 32, -15 = -b + 2*u. Calculate the remainder when 445 is divided by b.
10
Suppose -3*p - 208 = 3*g - 1570, p = 2*g + 451. Calculate the remainder when p is divided by 117.
102
Suppose 7*y - 415 = 47. Suppose 0 = -9*q + 11*q - y. Calculate the remainder when 126 is divided by q.
27
Let h(z) = z**3 + 7*z**2 + 8*z - 22. Let j be h(-5). What is the remainder when (-3)/9 + (-3868)/j is divided by 82?
76
Let x(s) = 17*s - 67. Suppose 28*p - 33*p = -35. What is the remainder when x(p) is divided by 18?
16
Let x = -22982 - -24442. What is the remainder when x is divided by 163?
156
Suppose 103*n - 110*n - 28 = 0. Calculate the remainder when 8/3*(-120)/(-2) is divided by 60/50*(-90)/n.
25
Let u = -356 + 364. Suppose u*t = 45*t - 3145. What is the remainder when t is divided by 29?
27
Suppose -5*v + 16 = 4*f - 38, 8 = f + 4*v. What is the remainder when 6858 is divided by f?
10
Let z = -2 - -3. Suppose 0 = -5*b - 20 + 225. Suppose -b + z = -2*t. Calculate the remainder when 59 is divided by t.
19
Let s = 33858 + -33843. What is