e remainder when 311 is divided by q.
59
Let s(k) = 87*k**2 + 223*k - 1833. What is the remainder when s(8) is divided by 12?
11
Let c(o) = -2*o**3 - 8*o**2 + 1139*o + 5708. What is the remainder when 181 is divided by c(-5)?
55
Suppose 4*f - 10 = -5*u + 30, 0 = f - u - 1. Suppose -2*c = -f*b - 371, c - 158 = -0*c - 3*b. What is the remainder when c is divided by 25?
23
Suppose -i - 4*a = -141, 830 = 5*i - 3*a - 2*a. Calculate the remainder when i is divided by (4 + 180/(-25) - -4)/(1/60).
17
Let d(k) = -k**3 + 5*k**2 - k - 8. Let m be d(5). Let g = m - -24. Calculate the remainder when 24/(-16) + (-158)/(-4) is divided by g.
5
Let k = -301 + 1102. Suppose -309*o + 306*o + k = 0. Suppose -3*d + 108 = d. Calculate the remainder when o is divided by d.
24
Let l = 16 - 9. Calculate the remainder when (6435/156)/(3/8) is divided by l.
5
Let l(t) = -3*t - 13. Suppose -23*z = -25*z - 20. Suppose -397 = -4*a - 69. Calculate the remainder when a is divided by l(z).
14
Let n(f) = -36*f**3 - 2*f - 6. Let c be n(-2). Suppose -8*j = -4*w - 3*j + 1174, -w + c = -5*j. What is the remainder when w is divided by 27?
26
Suppose -45*y + 44*y + 2 = 0. Suppose 30*v - 1056 = -y*v. Calculate the remainder when 196 is divided by v.
31
Suppose -177 = -18*x + 1839. Let d = -58 - -82. Calculate the remainder when x is divided by d.
16
Let c(p) be the third derivative of 23*p**4/24 + 11*p**3/3 + 25*p**2. Suppose -2*r + 24 + 2 = 0. What is the remainder when c(0) is divided by r?
9
Let n = -446 + 665. Let a = 369 - n. What is the remainder when a is divided by 22?
18
What is the remainder when 212 is divided by 26 + (-2669)/102 - (-349)/6?
38
Let r = 15 + -4. Let m be 124/28 + (-12)/(-21). Suppose m*h - 221 - 43 = 3*a, 2*a - 4 = 0. Calculate the remainder when h is divided by r.
10
Let u = 68 + -55. Let k(f) = -f + 4 + 7 + u. Calculate the remainder when 35 is divided by k(3).
14
Let u(c) = -23 + 6*c**2 - 1509*c + 3*c**2 - c**3 + 1501*c. Calculate the remainder when 349 is divided by u(4).
24
Let v(z) = 4*z**2 + 9*z + 1 - 10*z + 8 - 6. Let s(b) = b - 5. Let i be s(9). Calculate the remainder when v(i) is divided by 11.
8
Let j(v) = 2*v**2 - 38*v - 117. What is the remainder when 20 - (-10 + 3 + 2) is divided by j(22)?
10
Suppose 20235 = -20*t + 91*t. Calculate the remainder when t is divided by 24.
21
Suppose -k = m - 55 - 24, -4*m + k = -291. What is the remainder when m is divided by 1 + 8 - (-19 + 2)?
22
Let d(j) = 12*j - 300. Let y = 902 - 329. Calculate the remainder when y is divided by d(28).
33
Suppose -137*t = 1182 - 12791 - 21134. What is the remainder when t is divided by 85?
69
What is the remainder when (50 - -2)*(2 + 72/16) is divided by 37?
5
Suppose -7 = 2*j - 5*i + 1, 0 = -3*j + 5*i - 2. Let f(v) = -v**3 + 5*v**2 + 14*v + 6. What is the remainder when 168 is divided by f(j)?
6
Let a = 13 + 23. Suppose 2*p + b - a = 0, 2*b - 18 = -p - 3*b. Calculate the remainder when p is divided by ((-532)/(-57))/((-56)/(-42)).
4
Suppose -16*q - 33852 = -34076. What is the remainder when 3521 is divided by q?
7
What is the remainder when (-126)/(-504) + (3695/4)/5 is divided by 48?
41
Let a = -2080 - -2147. Suppose 5*i - 25 = 60. Calculate the remainder when a is divided by i.
16
Suppose 52 = 5*j + 3*k + 17, 15 = -3*k. What is the remainder when (2 + -40)*(-5)/j is divided by (-2)/(20/15*(-6)/16)?
3
Let t be (-5 - -3)*(-15)/(-6). Let a be (-9)/t + 32/160. Let m = 5 + a. Calculate the remainder when 18 is divided by m.
4
Let l = 2329 + -2302. Calculate the remainder when 658 is divided by l.
10
Suppose -12*l + 334 = m + 64, -2*m + 12 = 0. What is the remainder when 40 is divided by l?
18
Let q be 3/(3/123*1). Suppose 0 = -2*z + a + 83, -3*z - 5*a = -6*a - q. Calculate the remainder when z is divided by 19.
2
Calculate the remainder when 379 is divided by 88 + (-242)/11 + 10.
75
Let y = -1678 + 1691. What is the remainder when 106 is divided by y?
2
Let q = 7379 + -7099. What is the remainder when 845 is divided by q?
5
Let a = 700 - 536. Suppose 0 = -6*b + 1180 + a. What is the remainder when b is divided by 57?
53
Suppose 5*o - 552 = -3*b, -b + 24*o + 186 = 25*o. Let i = b + -173. What is the remainder when 219 is divided by i?
11
Let r = -14750 - -14980. Calculate the remainder when r is divided by 29.
27
Suppose 61382*x - 61416*x + 850 = 0. Let r(d) = -d**3 + 5*d**2 + 9*d - 3. Suppose 14 + 4 = 3*s. Calculate the remainder when x is divided by r(s).
10
Let d(m) = -3*m + 17. Let q(n) = -6*n + 35. Let b(p) = -5*d(p) + 2*q(p). Suppose 5*o - 391 = 89. What is the remainder when o is divided by b(8)?
6
Calculate the remainder when ((-266)/(-21) - 13)*-759 is divided by 34.
15
Suppose 4533 = -18*k + 5127. What is the remainder when 43 is divided by k?
10
Let c = 7 + 24. Suppose 0 = -4*y - z + 340, -88 = y - 2*z - 191. What is the remainder when y is divided by c?
25
Suppose 0 = 5*k + 1608 + 177. Suppose -5*q = -9*q - 8, b = -5*q - 12. What is the remainder when b - k/(0 + 3) is divided by 15?
12
Let h(p) = 148*p**2 - 2*p - 2. Let q be h(-1). Let o be q - 2/4*8. Calculate the remainder when o/(-30)*15/(-2) is divided by 8.
4
Suppose h - 16 = -0*h. Let x be 25/(-5) - -19 - 1. Suppose x*m - 523 - 387 = 0. What is the remainder when m is divided by h?
6
Let j(p) = -34*p - 380. Let u be j(-20). Calculate the remainder when 118 is divided by -11*(-17)/(1870/u).
28
Suppose 18*l - 22*l = 72. Let n = 1 - l. Calculate the remainder when (0 + 102/(-15))*-5 is divided by n.
15
Suppose 85 = 1074*u - 1073*u + 4*r, -5*u + 402 = -3*r. Calculate the remainder when 98 is divided by u.
17
Let j = -8835 + 9103. What is the remainder when j is divided by 18?
16
Let t(a) = -222*a - 804. Calculate the remainder when t(-4) is divided by 38.
8
Suppose -454*f + 446*f + 368 = 0. Let l = 437 + -425. Calculate the remainder when f is divided by l.
10
Let t be (-40600)/(-308) - (-4)/22. Suppose -4*w + t = 5*a - 8*w, -5*a + 3*w + 134 = 0. Calculate the remainder when 223 is divided by a.
27
Let k(q) = -48*q + 67. Let z be k(-2). Suppose -172*i = -z*i - 1404. Calculate the remainder when i is divided by 40.
36
Let a(c) = c**3 - 8*c**2 - 2*c - 127. Calculate the remainder when a(10) is divided by 12.
5
Let k be ((-24)/(-40))/((-9)/(-30)). Suppose -468 = -2*s - k*s. What is the remainder when s is divided by 42?
33
Let n = 270 + -230. Suppose -8*z - 5*s + n = -7*z, -2*z + 4*s = -80. Calculate the remainder when 478 is divided by z.
38
Let g(s) = -343*s - 9365. Calculate the remainder when g(-29) is divided by 46.
30
Let b(v) = -2*v + 8. Let i be b(3). Suppose -5*h + i*u + 279 = 0, -2*u + 43 = 5*h - 248. What is the remainder when 109 is divided by h/6 + 1/2?
9
Let s = 6539 + -6521. Calculate the remainder when 40 + (-1 - -1) + -2 is divided by s.
2
Suppose -25 = 49*x - 51*x + 3*c, -113 = -4*x - 3*c. What is the remainder when 532 is divided by x?
3
Suppose -23 = 2*s - 3*b - 24, 0 = 5*s + 2*b - 50. What is the remainder when 73 is divided by s?
1
Let q = 23 + -7. What is the remainder when 2349 is divided by q?
13
Let l(f) be the third derivative of -17*f**4/24 - 13*f**3/3 + 5*f**2 - 1. What is the remainder when l(-17) is divided by 19?
16
Let w = -11802 - -11820. What is the remainder when 912 is divided by w?
12
Suppose -2*n + 44*l + 1292 = 48*l, 2558 = 4*n - 5*l. What is the remainder when n is divided by 64?
2
Calculate the remainder when 3/((-18)/(-81) - 31/153) is divided by ((-19)/(-3) - 8)/((-5)/78).
23
What is the remainder when 18/243 - (-6316)/27 is divided by 132?
102
Let w be (14/(-42))/(2/(-144)). Suppose w = 2*o - 24. What is the remainder when o is divided by 18?
6
Suppose -124 + 116 = v. Calculate the remainder when 64 is divided by ((-16)/(-12))/((-6)/792*v).
20
Let t(x) = -x**3 - 12*x**2 - 32*x - 1084. Calculate the remainder when 4188 is divided by t(-15).
70
Suppose -4*i + 148 = p, 3*i - 196 = -2*p + 95. Suppose 4*h = h + p. Suppose -11*k + 13*k - h = 0. Calculate the remainder when k is divided by 14.
10
Let q = 5135 - 5059. Calculate the remainder when 289 is divided by q.
61
Suppose -13*g = 2*g - 30. Calculate the remainder when (326/4 - 5)*g is divided by 13.
10
Suppose 10*a + 120 = 15*a. Suppose 26*n - a*n + 6 = 0. Calculate the remainder when (n/(-3 + -6))/((-1)/(-66)) is divi