ivative of p**3/3 - 2*p**2 + 4*p - 1. Let t be f(5). Let k(q) = q + 34. Calculate the remainder when 124 is divided by k(t).
38
Suppose 3*z + 63 - 205 = -k, -2*k = -3*z - 302. What is the remainder when 454 is divided by k?
10
What is the remainder when 5656 is divided by 2/(-11) - 12245520/(-10835)?
6
Let v = 2886 - -360. Calculate the remainder when v is divided by 58.
56
Let l(s) = 6*s + 0*s**2 + 4*s**2 - s**3 + 2*s**3 + 8 + 3*s**2. Let z = -1350 + 1381. What is the remainder when z is divided by l(-6)?
7
Suppose -3*x + 195 + 177 = 0. Suppose -4*s + x = -3*v - 23, -v - 37 = -s. Calculate the remainder when s is divided by 19.
17
Suppose -1293*d - 908 = -1295*d. Suppose 4*u = 2*h - 106, 4*u + 207 + 13 = 4*h. Calculate the remainder when d is divided by h.
55
Suppose 0 = 3*w - w + 2. Let q(y) be the first derivative of -104*y**2 - 7*y - 4. What is the remainder when q(w) is divided by 51?
48
Let o(d) be the second derivative of -5*d**3/2 + 3*d**2 - 32*d. Let l be o(-2). Suppose -3*x + 21 = -l. Calculate the remainder when 75 is divided by x.
18
Suppose -3*k - 15 = -6. Let i = 15 - 8. What is the remainder when ((-18)/k - 3)*3 is divided by i?
2
Suppose -296 = -2*d + 4*a, -2*d - 232*a = -233*a - 305. What is the remainder when 2612 is divided by d?
148
Let d = 1302 + -1128. Calculate the remainder when 1911 is divided by d.
171
Suppose 0 = -3*l - 3794 + 761. Let k = l - -547. Calculate the remainder when 22/(-77) + k/(-7) is divided by 17.
15
Suppose 2*j = 2*h - 880, -48*h - 1313 = -51*h + 4*j. Calculate the remainder when 449 is divided by h.
2
Let d = -28 - -15. Let c(t) = 5*t**2 - 55*t - 101. Let h(b) = -b**2 + 14*b + 25. Let k(w) = -2*c(w) - 9*h(w). Calculate the remainder when k(d) is divided by 9.
7
Let g be (138 - 2)*3/12. Suppose 3360 - 640 = g*l. What is the remainder when 170 is divided by l?
10
Let a(o) = -6*o - 215. Let t be -1 - (2 + -4) - 27. Let w = t + 38. What is the remainder when w is divided by a(-36)?
0
Let u(y) = 63*y + 41. Let t be u(2). What is the remainder when t + (-9 - (-8 - 1)) is divided by 89?
78
Calculate the remainder when (-1)/((-2)/12) + 397 + (-9 - -31) is divided by 20.
5
Let t(h) = -35*h**3 - h**2. Let r be (2/14)/(18/126) - 243. What is the remainder when (-30)/5 + (-1 - r) is divided by t(-1)?
31
Suppose -4*n + 384 = 4*g, -2*n - 3*g + 188 = -2*g. Suppose 3*b + 62 = -2*f, 2*f + n = -f - 5*b. Let m = -7 - f. What is the remainder when 79 is divided by m?
25
Let n(q) be the third derivative of -q**6/60 - q**5/30 - q**4/8 + 2*q**3/3 - 3*q**2. What is the remainder when (240 - -1) + 7 + -3 + -3 is divided by n(-3)?
46
Suppose 0 = 5*d + 3*h - 951, 2*d + 5*h = 3*h + 382. What is the remainder when d is divided by (-17)/(374/(-220)) - (-18)/2?
18
Suppose -5*y - 6 = 9. Let w = 2 + 9. Calculate the remainder when w is divided by 1*((-2)/8*0 - y).
2
Suppose 0 = -p - 3*l + 9, 2*p + p - 39 = -5*l. Suppose p*u - 375 = 13*u. Calculate the remainder when 293 is divided by u.
68
Let k = 387683 - 387656. Suppose -90 + 24 = -3*v. What is the remainder when k is divided by v?
5
Let b = 2197 - 2111. Let p be (-14)/2*(-18)/21. Suppose -4*d - 2*i = -174, -75 = -p*d + 4*d - 5*i. Calculate the remainder when b is divided by d.
41
Let b = -43 + 12. Let h = -29 - b. What is the remainder when (3 - 21/6) + 93/h is divided by 17?
12
Let g = -21802 + 23009. What is the remainder when g is divided by 33?
19
Let c be 72*((-609)/(-99) - (-26)/143). Let p = c + -383. Calculate the remainder when 289 is divided by p.
70
Let m(q) = -8*q - 54. Let x be m(-7). Suppose -x = -4*h - 18. What is the remainder when (h - (-34)/8)*148 is divided by 10?
7
Let x(z) = z**3 + 3*z**2 + 2*z - 17. Calculate the remainder when x(6) is divided by 26.
7
Suppose 2*a = q + 67, 2*a + 200 = -5*q - 171. What is the remainder when (q/3)/((117/(-135))/13) is divided by 16?
13
Suppose 0 = -2*q - o + 16 + 36, q - 26 = 2*o. Let m(p) = -p**3 + 18*p**2 + 49*p - 834. What is the remainder when m(18) is divided by q?
22
Suppose 1096 = -44*k + 112*k - 604. What is the remainder when 2773 is divided by k?
23
Suppose -4*x + 171 - 33 = 10. What is the remainder when 1050 is divided by x?
26
Suppose 18*z = -4*z - 44. Let k = 8 - -9. What is the remainder when (z - (-2 + (5 - 9))) + 28 is divided by k?
15
What is the remainder when (-244)/(-6) + (-3)/27*-3 is divided by (400/150)/(0 - (-2)/12)?
9
Suppose 16*w - 14*w - 8 = 0. Suppose m - w*k + 40 = -2*m, -2*k = -5*m - 48. What is the remainder when (-668)/(-16) + (-10)/m is divided by 5?
3
Let g be 53 - (-13 - 7)/(-4). Suppose 5*r + u = 131, -45*u - 96 = -4*r - g*u. Let t = -8 + 18. What is the remainder when r is divided by t?
7
Let g(m) = 9*m**2 - 23*m + 77. Let h = 17 + -14. Calculate the remainder when 440 is divided by g(h).
84
Let c be -2 + 23 + (-18)/2. Suppose -98*l + 96*l = -c. Calculate the remainder when 107 is divided by l.
5
What is the remainder when ((8 - 7)*(-4)/12)/(1/(-1413)) is divided by 95?
91
Suppose 2*s - 460 = 18. Let l = 284 - s. Calculate the remainder when l is divided by 24.
21
Suppose 2*d - 47 = -3*t, 4*d - 2*t - 75 - 43 = 0. Let n(p) = 19*p - 74. Calculate the remainder when n(17) is divided by d.
25
Let x(l) = -10*l**2 - 3*l - 2. Let k be x(-1). Let c be ((-25)/15)/5*k. Suppose 0 = 5*z - 32 - c. What is the remainder when 54 is divided by z?
5
Suppose 14 = -5*d + 2*b + b, -3*d - 9 = -2*b. Calculate the remainder when 147/6 + d/(-2) is divided by (1248/(-36))/13*(-4)/(80/105).
11
Suppose -160*f + 111045 + 115471 = 94996. What is the remainder when f is divided by 164?
2
Let m = -8410 - -8519. What is the remainder when m is divided by 94?
15
Suppose 0 = -3*q + 14*q - 253. Suppose 4*n - 240 = -2*w, w = -2*w - 12. Calculate the remainder when n is divided by q.
16
Calculate the remainder when 6/(36/10)*(-217821)/(-85) is divided by 89.
88
Let f(c) = 16*c + 36. Let a be f(4). Suppose 8*w - a = 4*w. Calculate the remainder when w is divided by 7.
4
Let p(q) = -5*q - 15. Let r be p(6). Let k = r - -172. Suppose k - 655 = -12*g. What is the remainder when g is divided by 12?
8
Let s be (12/(-14))/((-3)/(-756)*6). Let y = s - -40. Suppose 176 = y*d + 40. Calculate the remainder when 101 is divided by d.
33
Suppose 39*m - 1569*m = 601*m - 652086. Suppose 5*x = 496 - 101. What is the remainder when m is divided by x?
69
Let p be (-130)/(-3) + (-64)/48. Suppose 2*n = -5*j + 10*j + 28, p = 3*n - 2*j. What is the remainder when 335 is divided by n?
13
Let z = 72 - 13. Suppose 0*s + 4*s + 2*w = 62, -3*s - w + 46 = 0. Calculate the remainder when z is divided by s.
14
Let s(v) = -2*v**3 - 102*v**2 - 7*v - 73. What is the remainder when s(-51) is divided by 117?
50
Suppose v - 6 = 2*v. Let f(q) = -q**3 - 3*q**2 + 4*q + 11. Calculate the remainder when f(v) is divided by 50.
45
Suppose 6*k = 4*k + 5*n + 35, k + 5*n = 25. Suppose -1190 + k = -5*i + 5*m, -710 = -3*i + 5*m. What is the remainder when i is divided by 58?
56
Suppose -2*s + 33 + 11 = 0. Let g(f) = -2*f - 51. Let a be g(17). Let w = a - -236. What is the remainder when w is divided by s?
19
Let f = 1513 - 1385. Suppose 95 = 5*y + 35. What is the remainder when f is divided by y?
8
Let l(g) = 201*g**2 + 229*g - 2. What is the remainder when l(3) is divided by 827?
13
Suppose 3*q = -q - 5*i + 47, 31 = 2*q + 5*i. Let l be 4/(6*(-3 + 20/6)). Suppose 5*o - 10 = l*x - 5, -x = o - q. What is the remainder when 5 is divided by o?
2
Calculate the remainder when 4285 is divided by ((1130/(-9))/5)/(26/(-234)).
217
Suppose i = 3*l + 52, -5*i = 3*l - 120 - 86. Suppose -d = 11 - i. Let a(f) = -50*f - 9. Calculate the remainder when a(-4) is divided by d.
31
Suppose -2*y + 4*i + 1170 = 0, 3*y - 909 = -2*i + 854. Calculate the remainder when y is divided by 31.
29
Suppose -3*v + 53 = -x, 2*x + 90 = 5*v - 0*x. Let o = 21 - v. Suppose 5*q = 175 - o. What is the remainder when q is divided by 6?
4
What is the remainder when 64 - 71 - ((-1 - 2) + -357) is divided by 56?
17
Suppose 9*n - 13*n + 8 = 0. Suppose 4 = -h + n*h. Suppose 218 = h*i + 2*v, -2*i + 3*v = -0*i - 89. Calculate the remainder when i is divided by 27.
25
Suppose -3*d = -2*d - 337. Let y = d - 304. What is the remainder when 230 is divided by y?
32
Let x = 2758 - 2564. Calculate the remainder when x is d