0*k - 8 = 4*k. Suppose -47*u + 25*u + 154 = q. Let p = 23 + -12. Calculate the remainder when p is divided by u.
4
Let s(y) be the third derivative of -y**5/60 - 5*y**4/24 + 2*y**3/3 + 5*y**2. Let u be s(11). Let w = -59 - u. What is the remainder when w is divided by 23?
21
Suppose 5*f + 0*k + 5*k = 720, -4*f + 4*k + 544 = 0. What is the remainder when 3219 is divided by f?
139
Suppose a = 473*z - 478*z + 611, 3*a = 3. What is the remainder when 7806 is divided by z?
120
Let u be (-10)/((-70)/147) + -1 + 3. Let m = 52 - u. Suppose 2*q - 23 = m. Calculate the remainder when 82 is divided by q.
4
Suppose 6*n - 4*n - 426 = 0. Let r = -2469 - -2537. What is the remainder when n is divided by r?
9
Calculate the remainder when 1058 is divided by 104*((-120)/20)/(-48).
5
Let c(j) be the third derivative of -5*j**4/12 - 8*j**3/3 - 2*j**2 + 33. What is the remainder when 85 is divided by c(-6)?
41
Let z(t) = -53 - 13*t - 2*t**2 + 3*t**2 - 74. Calculate the remainder when z(23) is divided by 31.
10
Let y(q) = 24*q - 94. Let a(h) = h**2 - 12*h + 41. Let n be a(6). Calculate the remainder when 909 is divided by y(n).
25
Suppose -5*j = -d + 60, 5*j + 105 = 89*d - 87*d. Calculate the remainder when 3688 is divided by d.
43
What is the remainder when 1180 is divided by 70/210 - (-3539)/3?
0
Suppose -6*i + i + 40 = 0. Let m(p) = 12*p. Calculate the remainder when m(2) is divided by (-1)/(i/(-2)) + (-275)/(-20).
10
Suppose -188*v = -125*v - 9828. What is the remainder when 1571 is divided by v?
11
Let v be (7 - (4 - -1))*3595/10. Let r(x) = x**3 - 2*x**2 + 4*x - 6. Let p be r(3). Suppose p*t = v + 301. Calculate the remainder when t is divided by 10.
8
Let f = 385 - -130. Let n = 624 - f. Suppose 0 = -2*b - 2*b + 56. Calculate the remainder when n is divided by b.
11
Suppose 15*g - 11562 = 13*g - 39*g. What is the remainder when 1130 is divided by g?
2
Let r(z) = 2*z**3 + 21*z**2 - 24*z - 43. Suppose 21 - 98 = 7*l. Calculate the remainder when r(l) is divided by 16.
4
Let p(b) = -54*b - 12. Suppose -2*w - n + 1 = 4, -3*w + 2*n - 15 = 0. Let u be p(w). Let l = u - 79. What is the remainder when l is divided by 37?
34
Let j = 197 - 171. Suppose -4*l = -27*p + j*p + 217, 4*p - 4*l - 856 = 0. Calculate the remainder when p is divided by 31.
27
Let o be ((-7)/14)/(2/4). What is the remainder when o/(-2)*(-5 + 7) is divided by (-237)/(-553)*(-7)/(-3)?
0
Let s(q) = 63*q**2 + 612*q + 4806. What is the remainder when s(-8) is divided by 33?
15
Suppose -4*i = 0, -i + 132 = c - 44. Let r(o) = 31*o**3 - o. What is the remainder when c is divided by r(1)?
26
Suppose -1617*y + 17094 = -1595*y. What is the remainder when y is divided by 243?
48
Suppose 76*h + 7*h - 5658 = -163*h. Let z = 296 - 63. Let m = -144 + z. Calculate the remainder when m is divided by h.
20
Suppose 2912 = 22*b + 2626. Let j = 84 - 34. What is the remainder when j is divided by b?
11
Let q be (-30 - -30)/((-1)/1 + -2). Suppose d - 2*d + 13 = q. Calculate the remainder when (9 + -8)*38*3 is divided by d.
10
Suppose -5*d - 5*t + 655 = 0, 143 = d + 112*t - 115*t. What is the remainder when 531 is divided by d?
129
What is the remainder when 95 is divided by (-116)/(-6) + (62/84 - 14/196)?
15
Suppose 0 = 3*b - 13*g - 1439, 4*g = 2*b + 6*g - 970. What is the remainder when b is divided by 54?
52
Suppose 2*v = 6*d - 126, 0 = 4*d - 5*v - 8398 + 8303. Suppose -2*q + 4*g = -182, -4*q + 503 = -2*g + 139. Calculate the remainder when q is divided by d.
11
Suppose -93*q + 107*q = 1736. Let c = 207 - q. What is the remainder when 579 is divided by c?
81
Let w = 1 - -4. Let v(l) = -34 + 6*l - 23 - 13 + 5 - 2*l. Calculate the remainder when v(20) is divided by w.
0
Let x(b) = b**2 + 284*b + 2005. What is the remainder when 776 is divided by x(-7)?
50
Let j = -995 - -502. Let i = j - -529. What is the remainder when 93 is divided by i?
21
Let y be (4 - 1) + 2/(6/(-15)). Let l = 64 + y. What is the remainder when l is divided by 4?
2
Let p = -4 + 26. Suppose u - 5*u - 242 = -a, 2*u - 2*a + 124 = 0. Let r = 71 + u. What is the remainder when p is divided by r?
0
Let t(j) = 2*j**2 + 45*j + 104. Calculate the remainder when t(-28) is divided by 208.
204
Let v(k) = k**3 - 49*k**2 + 93*k + 64. Let q be (-1420)/(-30) - 2/6. What is the remainder when 133 is divided by v(q)?
14
Let b = 3127 - 2583. What is the remainder when b is divided by 42?
40
Let q(m) be the first derivative of -7*m**2 + 47*m - 35. Let s be q(9). Let v = s + 83. What is the remainder when 15 is divided by v?
3
Suppose -19 - 35 = -2*w. Let r(f) = -f**3 + 144*f**2 - 278*f - 801. Calculate the remainder when r(142) is divided by w.
24
Let v(t) = 2*t**2 + 48*t + 340. What is the remainder when v(36) is divided by 9?
7
Let q(r) = 4*r - 31. Let g be q(9). Suppose 0*f + 80 = g*f - 5*h, 4*h = -f + 41. Let t = 3 + f. What is the remainder when t is divided by 13?
11
Let j = -335 - -672. Suppose -117 = 4*x - j. Calculate the remainder when x is divided by ((-16)/(-40))/(2/50).
5
Suppose -2*z + 326 = -5*a, 3*a - 489 = -3*z - 0*a. Calculate the remainder when 361 is divided by z.
35
Let b = 292 - 167. Let i be (-4)/18 + 31650/270. Let z = b - i. What is the remainder when 11 is divided by z?
3
Let a = -46 - -48. Suppose a*h + 3*h = 50. What is the remainder when 71 is divided by 174/h - (-3)/5?
17
Let o = 886 - 866. What is the remainder when 1539 is divided by o?
19
Suppose 7537 = 29*n - 15*n - 541. What is the remainder when n is divided by 184?
25
Suppose -3*k = 4*d + 56, -2*k - 3*d + 83 = -6*k. Suppose 17 + 7 = -3*h. Calculate the remainder when 222 is divided by -4 + (-75)/k - 362/h.
42
Suppose 5*d + 12377 + 13150 = 4*j, -3*j + 5*d = -19144. What is the remainder when j is divided by 56?
55
Let b(j) = -836*j - 3049. Calculate the remainder when 1162 is divided by b(-5).
31
Suppose -11759 = 18*v - 15179. Calculate the remainder when v is divided by 9.
1
Suppose 4*r = 24, 0 = -3*q + 6*q + 2*r - 72. Calculate the remainder when 428 is divided by q.
8
Suppose 4*h + 8 = 0, -2*t + 2*h + 20 = h. What is the remainder when 2/6*(38 + (19 - t)) is divided by 6?
4
Let f(n) = 4*n - 26. Let b be f(0). Let c = 39 - b. Suppose -5*s + c = -595. Calculate the remainder when s is divided by 15.
12
Suppose 14*c - 9231 - 4435 = 2952. Calculate the remainder when c is divided by 17.
14
Calculate the remainder when 2142 is divided by 3 + ((-8)/(224/(-42)) - (-2)/4).
2
Suppose -5*f = 4*k - 153, -39*f + 40*f - 5*k - 48 = 0. What is the remainder when 73 is divided by f?
7
Let x = -5361 - -5399. Suppose -6 = 2*g, 4*g - g = 2*n - 19. Calculate the remainder when x is divided by n.
3
Let w be 276/(-8)*558/(-27). Suppose -w*j + 710*j = -105. Calculate the remainder when 138 is divided by j.
33
Let c(k) = -6*k + 484. What is the remainder when c(62) is divided by (9 + -17)*(-3 - 1)?
16
Let s = -5648 - -5913. Calculate the remainder when 830 is divided by s.
35
Let n be -2*(-1)/11 + 72/88. Calculate the remainder when (n + 486)/((3 + -5)/(-2)) is divided by 10.
7
Calculate the remainder when (-1)/11 + (-3122560)/(-3157) is divided by 44.
21
Let x(h) = 213*h - 6194. What is the remainder when x(36) is divided by 124?
110
Suppose 11*m + 5*t = 10*m + 281, 5*t - 607 = -2*m. What is the remainder when 13687 is divided by m?
321
Let y = -6343 - -6402. What is the remainder when 338 is divided by y?
43
Calculate the remainder when 360 is divided by (-1)/(-10) + 13992/80.
10
Let i(s) = s - 17. Let v be i(20). Let z(o) = 50*o - 115. Calculate the remainder when z(v) is divided by 6.
5
Let c = 33949 + -33408. What is the remainder when c is divided by 104?
21
Suppose -4*p + 2*i - 26 = 0, 84*p - 79*p + 4*i + 52 = 0. Calculate the remainder when 327 is divided by (150/24 - 7) + (-302)/p.
31
Let t = -3266 - -3535. Calculate the remainder when 1212 is divided by t.
136
Let z(l) = l**3 - l**2 - 10*l + 20. Suppose 5*u = 3*u + 174. Calculate the remainder when u is divided by z(3).
7
Let h be 1 - (-4 - -3) - -18. Suppose 0 = -17*q + h*q - 39. Let u = 18 + -15. What is the remainder when q is divided by u?
1
Suppose 7*r = 12*r + 3*d - 853, 2*r - 341 = -d. Suppose 12*g - o + 154 = 13*g, g - 3*o = r. What is the remainder when g is divided by 32?
30
Let y = -13 + 21. Calculate the remainder when y is di