 4. Let r(h) be the first derivative of h**4/4 + 2*h**3 + 19. Calculate the remainder when r(-3) is divided by p(6).
7
Suppose -25169 = -79*r - 65*r + 69151. Calculate the remainder when r is divided by 109.
1
Let v(o) = 18*o + 126. Let s be v(-7). Suppose j - 2*f + 56 = 113, -3*f = s. Let t = -11 + 42. Calculate the remainder when j is divided by t.
26
Let j be 0/(-1*(3 + -2)). Suppose 15*m - 345 = -j*m. Let x = 14 - 11. Calculate the remainder when m is divided by x.
2
Let u(m) = -3*m**3 - 64*m**2 + 42*m - 13. What is the remainder when u(-22) is divided by 2*(2 - (-14)/4)?
9
Suppose -32*t - 491 = -c, -5*t + 2848 - 723 = 5*c. Calculate the remainder when c is divided by 137.
16
Suppose 5*c - 26 = -3*h, -44*h + 49*h = c + 6. Suppose -h*t + 44 = -3*u, -33 = -3*t + 4*u + 33. What is the remainder when 43 is divided by t?
21
Suppose -i + 3*y + 8 + 10 = 0, -5*y - 13 = 4*i. Let x = -173387 - -173679. Calculate the remainder when x is divided by i.
1
Suppose 3*p = -x + 1400, -16*p - 7096 = -5*x - 19*p. What is the remainder when x is divided by 34?
30
Suppose -2441 - 199 = -176*m. Suppose 2 = -4*o + 18, -5*y = 4*o - 526. Calculate the remainder when y is divided by m.
12
Suppose 435 = -2*u + 5*i, -5*u + 5*i = 1722 - 672. Let v = 254 + u. What is the remainder when 186 is divided by v?
39
Let j(a) = -7*a**2 - 59 + a**3 + 58 + 2*a**2 + 0*a**3 + 7*a. Let q be j(5). Suppose -q*b + 35 = -29*b. Calculate the remainder when 13 is divided by b.
6
Let k = 19290 - 11274. Calculate the remainder when k is divided by 243.
240
Suppose 3*l = 2*x, 4*x - 4*l = -0*l - 4. Suppose 4*o - 31 - 61 = 0. What is the remainder when (-2)/x*-6 + 86 is divided by o?
13
Suppose 0 = 10*k - 16*k + 198. Let z(v) = -v**2 + 17*v**2 + 7 - 6*v - 11*v**2. What is the remainder when z(-5) is divided by k?
30
Suppose -3*s - 8*n + 3*n = -230, -s + 88 = -4*n. Suppose 1205 = 60*t + 79*t - 1992. What is the remainder when s is divided by t?
11
Let b be 2/12 + 1298/(-12). Let n = -51 - b. Let s = 3169 + -3139. What is the remainder when n is divided by s?
27
Let i = 6886 + -6649. Calculate the remainder when i is divided by 73.
18
Let b(x) = -x**3 + 49*x**2 - 78*x - 156. What is the remainder when 1207 is divided by b(47)?
15
Let i = -12035 + 14668. Calculate the remainder when i is divided by 164.
9
Let k(j) = 220*j - 138. What is the remainder when 324 is divided by k(1)?
78
Let o be 4462/8 - 33/44. Suppose 4*w = -2*z + 760, -3*w + 7*z + o = 2*z. What is the remainder when w is divided by 24?
21
Suppose 5*d + 3*h = 681, -10*h - 278 = -2*d - 14*h. What is the remainder when 64 is divided by (-3 - d/(-25))/(-2)*-5?
4
Let q(d) = -5*d - 1. Let x(r) = -39*r + 243. What is the remainder when x(5) is divided by q(-3)?
6
What is the remainder when -4 + 3*((-2320)/(-6) - 28/(-14)) is divided by 32?
10
Let j be -6*6/(-9) + -36. Let d = j + 38. What is the remainder when (d/(-15))/(10/(-100)) is divided by 2?
0
Let l = 1969 + -1676. What is the remainder when l is divided by 148?
145
Let b(q) = -22*q**3 - 13*q**2 - 19*q + 14. Let l be b(-7). Suppose 4*d + l = 53*d. What is the remainder when d is divided by 21?
18
Let b be (-3)/6 + (-9)/(-18). Suppose b = -6*l + l + 270. Suppose 2*m = -0*m + 38. What is the remainder when l is divided by m?
16
Suppose -6192 = -26*n + 32*n. Calculate the remainder when n/16*(-24)/9 is divided by 58.
56
Suppose 20 - 16 = -u. What is the remainder when 70 is divided by 4 - (-4 - (u - -2))*4?
10
Let b be 5/20 + (317/(-4) - -3). Calculate the remainder when 473 is divided by (-5)/1 + 149 + b.
65
Let d(z) = 39*z**2 + 83*z - 253. What is the remainder when d(4) is divided by 115?
13
Let r(k) = 9*k + 7. Let s = 53101 - 53069. Calculate the remainder when r(6) is divided by s.
29
Suppose 0*c - 2*c = -24. Let l(m) = 37 - 8*m + 33*m - 14*m - c*m. Calculate the remainder when l(9) is divided by 9.
1
Suppose -10*m + 1128 = 928. What is the remainder when 477 is divided by m?
17
Let d(b) = b**2 + 21*b - 44. Let c be d(-23). Suppose 5*q - 6 = c*q, 54 = 2*m - 3*q. Suppose -6*o + 356 = -2*o. Calculate the remainder when o is divided by m.
29
Suppose -64 = -12*a - 4. Suppose -a = 3*u - 41. Suppose 3*l - u*l = -99. Calculate the remainder when l is divided by 4.
3
Let o be (-4)/10 + ((-213)/5 - 5). Let a = o + 191. Let h = -58 + a. What is the remainder when h is divided by 15?
10
Let g = 740 + 138. Calculate the remainder when g is divided by 221.
215
Suppose -3*o - 35 = -4*f - 6, o - 22 = -5*f. Suppose -3*v - 8*u + f*u + 42 = 0, 3*u = 4*v - 91. Calculate the remainder when 31 is divided by v.
12
Let p(l) = 133*l + 538. What is the remainder when 1563 is divided by p(-4)?
3
Suppose -116*r + 3348 + 6052 = -22*r. What is the remainder when 205 is divided by r?
5
Suppose 6*v = 2*v - 3*w + 37, -2*v + 21 = -w. Calculate the remainder when 203 is divided by v.
3
Let y be -3 - -239*(-1 + 2). Suppose 22*g = 138 + y. What is the remainder when 34 is divided by g?
0
Let z(c) = 4*c + 30. Let g be z(-7). Suppose 6 = 2*x - g. Suppose 4*i = -j + 26, 4*i - 10 = i + x*j. What is the remainder when 22 is divided by i?
4
Let f be 348/(-9)*(0 + 3) - 4. What is the remainder when 697 is divided by (-34)/(-10) + -3 + (-3312)/f?
25
Let q be (-3 - 6)/(1/2 - 2). Let u = 50 + -27. What is the remainder when u is divided by 3/(q/(-54)*-3)?
5
Let c be ((-2)/(-4))/(1/(-20)). Calculate the remainder when ((-24)/15)/(1/c) is divided by 9.
7
Let y = 166 - 224. Let g = -41 - y. What is the remainder when 83 is divided by g?
15
Let v(u) = -328*u + 3105. Calculate the remainder when v(8) is divided by 108.
49
Suppose 0 = 2*u + m + 3*m - 4, 5*m = -2*u + 3. Suppose -u*z - 18 = -46. Suppose 0 = 18*j - 38*j + 1200. Calculate the remainder when j is divided by z.
4
Suppose -159*u = -163*u - 2*a + 1150, -a - 2549 = -9*u. Calculate the remainder when u is divided by 50.
34
Let l(x) be the first derivative of 21 + 11*x - 15/2*x**2. What is the remainder when l(-13) is divided by 52?
50
Let q(z) = z**3 + 10*z**2 - 34. Let k be q(-11). Let s = k - -198. What is the remainder when s is divided by 9?
7
Suppose 7*v - 2*v = 80. Suppose 0 = 2*i + w - 165, -2*i + 499*w = 495*w - 130. What is the remainder when i is divided by v?
15
Suppose 3*i = -h + 25, 28 + 22 = 2*h + i. Suppose -h*f = -19*f - 624. Calculate the remainder when f is divided by 16.
8
Let u(v) = 7*v - 212. Calculate the remainder when u(31) is divided by 4.
1
Let b(t) = t**3 + 3*t**2 - 6*t + 8. Let p = 74 - 68. Suppose -3*j - 3*m - 9 - p = 0, 5*j + 18 = 2*m. Calculate the remainder when 26 is divided by b(j).
10
Suppose 19*p + 260 = 29*p. What is the remainder when p is divided by 9?
8
Let a(w) = -21*w - 427. What is the remainder when 187 is divided by a(-21)?
5
Suppose 5*y + 0*m = -4*m - 5, y - 5*m = 28. Let g(f) = -39 + 32 - 12 - y*f. What is the remainder when g(-20) is divided by 21?
20
Suppose 4*x + 49 = -3*q + 290, 5*q = 3*x + 421. Calculate the remainder when q is divided by 20.
3
Let z(k) = 200*k**3 - k + 543. Suppose 0 = 5*x - 15, 3*v + 114 = 6*v + 4*x. Calculate the remainder when z(0) is divided by v.
33
Suppose 0 = l - 2*l + 90. Suppose -471 = -61*d + 64*d. Let t = d - -203. Calculate the remainder when l is divided by t.
44
Let z = -5977 - -6154. What is the remainder when z is divided by 17?
7
Suppose -m + 2*m + 8 = 3*v, 3*m = -3*v. Suppose -5*s + q + 48 = -v*q, 2*s - 17 = -q. Calculate the remainder when (-28 - -3)/((6/(-3))/2) is divided by s.
7
Suppose 37*j - 136 = 20*j. Let c = -229 + 276. Calculate the remainder when c is divided by j.
7
Let t(o) = -12*o**3 - 50*o**2 + 2*o + 10. What is the remainder when t(-5) is divided by 4?
2
Let t(z) = 9*z**2 - 7*z + 2. Let i be t(1). Suppose 3*u + 375 = -4*o, -5*o + 0*u = -i*u + 430. Let q = o - -95. What is the remainder when 31 is divided by q?
1
Suppose -o + 3*n - 250 = 0, 1196 = -7*o + 2*o - 3*n. Let v = o - -257. What is the remainder when 142 is divided by v?
14
Suppose 3*l = 1106 + 145. What is the remainder when l is divided by ((-2835)/28)/(-5) + (-2 - 33/(-12))?
18
Let k(i) = i**3 + 12*i**2 + 8*i. What is the remainder when 1 + (1188/(-55))/(10/(-75)) is divided by k(-11)?
31
Let m = -29 + 84. Let y be 3*(-5)/30*2. What is the remainder when m is divided by (210 + -206)*(3 - (0 - y))?
7
Let w(r