d by (40/(-540)*9)/((-2)/72).
20
Let s(c) be the third derivative of -c**4/24 + 23*c**3/3 - 27*c**2 - 1. What is the remainder when s(3) is divided by 29?
14
Suppose -7*l = -602 - 794 - 431. Calculate the remainder when l is divided by 71.
48
Let f(l) = l**3 - 6*l**2 + 3*l. Let z be f(2). Let u = 57 + z. Suppose 1746 = 144*w - 1710. Calculate the remainder when u is divided by w.
23
What is the remainder when 302 is divided by 8*85*5/25?
30
Suppose -7 = -3*s - 28, 5*w - 3*s = 1511. Calculate the remainder when w is divided by 295.
3
Suppose -2107 = -157*t + 248. Suppose 3*k - 402 = -0*k. Let x = k + -80. What is the remainder when x is divided by t?
9
Suppose -2*d = -10, -2*d = 2*k - 14 - 2. Let b(o) = 28*o**3 - 5*o**2 + 2*o + 4. What is the remainder when b(1) is divided by 7*2*k/6?
1
Let f(o) = o**2 + 2*o. Suppose -317*y - 40 = -321*y, -t - 26 = -5*y. Calculate the remainder when t is divided by f(-5).
9
Suppose -2*t - 4*i + 458 = 0, 512*i - 1190 = -5*t + 507*i. Calculate the remainder when 17284 is divided by t.
241
Let g(f) = -4*f + 1. Let o be g(-4). Suppose -2*t + 2*r - 22 = 0, -3*t - o = -t - r. Let d = t + 116. What is the remainder when d is divided by 19?
15
Let f = -79 + 178. Suppose f = 4*h - 609. Calculate the remainder when h is divided by 30.
27
Suppose -10*x - 1 + 41 = 0. Suppose -398 = -x*i - 2*d, 5*i - 4*d + 20 = 537. Suppose -3 = -4*h + 29. Calculate the remainder when i is divided by h.
5
Let s(b) = 12*b**3 - 2*b**2 + 6*b. Let n(v) = 3*v**2 - 6*v - 7. Let z be n(-1). What is the remainder when s(z) is divided by 51?
49
Suppose 2*z - 129 = 3*i + 133, -3*z + 3*i = -390. Let j = z - 47. What is the remainder when j is divided by 22?
15
Suppose 2*o = 3*j - 202, -5*j + 346 = 8*o - 9*o. Suppose -j = 2*r - 90. What is the remainder when 99 is divided by r?
9
Suppose 3*m + 2*f - 49669 = 0, -3*m + 77*f + 49668 = 80*f. Calculate the remainder when m is divided by 184.
181
Suppose -33504 = -27*q - 11769. Calculate the remainder when q is divided by 206.
187
Calculate the remainder when 396 is divided by ((8/2)/4)/(-2 - (-2587)/1287).
0
Suppose -l + 170 = -2*u, 0 = -4*l + 3*u + 493 + 182. Calculate the remainder when l is divided by 64.
40
Let o = -36 + 64. Let a(u) = -15*u**2 + o*u - 270 - 3*u**3 + 4*u**3 + 283. What is the remainder when a(13) is divided by 13?
0
Let f(y) = y**2 + 3*y + 12. Suppose 0 = 29*c - 24*c + 35. What is the remainder when f(c) is divided by 6?
4
Let p(j) be the second derivative of j**4/12 - 6*j**2 - 30*j. Let g = 17 + -22. Calculate the remainder when p(g) is divided by 2.
1
Suppose 54*x - 12279 = 22158 - 7383. Calculate the remainder when x is divided by 140.
81
Let p = 18557 - 15559. Calculate the remainder when p is divided by 150.
148
Suppose c - 845 = -5*u, 3*u - 6*u + 9 = 0. What is the remainder when c is divided by 8?
6
Suppose 206 = 2*j + 84. Suppose -1732 + 454 = 18*t. Let b = 84 + t. Calculate the remainder when j is divided by b.
9
Suppose 5*l + 5*g = 435, -1677*l - g - 447 = -1682*l. Calculate the remainder when 620 is divided by l.
86
Suppose -95 = -5*l - 35. Suppose -30*p + 27*p + 180 = 0. Let s = -39 + p. What is the remainder when s is divided by l?
9
Let o = 51 + -53. Let n(t) = 2*t**3 + 5*t**2 + t. Let a be n(o). Suppose -5*v + 42 = a*v. What is the remainder when 10 is divided by v?
4
Let h(f) = -30*f + 10. Let t(v) = -20*v - 121. Let u be t(-6). What is the remainder when 150 is divided by h(u)?
30
Suppose -7*z - 3320 = -6274 - 6223. Calculate the remainder when z is divided by 146.
143
Let h be (-81540)/(-72)*6/(-9). Let i = 837 + h. What is the remainder when i is divided by 29?
24
Suppose 3*j + 2*v = 220, 99*v - 94*v = 5*j - 400. What is the remainder when 14666 is divided by j?
74
Suppose -56*f + 6 = -57*f. Let s be (6/(-18))/((-2)/f). Calculate the remainder when 15 is divided by (0 - s)*(-18)/(-3).
3
Let v(j) = 34*j**2 - 51*j - 263. Calculate the remainder when v(-5) is divided by 114.
44
Suppose -10*g - 242 = -1492. Suppose -130*d = -g*d - 265. Calculate the remainder when 476 is divided by d.
52
Suppose 83 = 3*m - h, -m + 109 = 3*m - 3*h. What is the remainder when m is divided by 27?
1
Calculate the remainder when 86 is divided by 4/(-46) + (-101421)/(-4393).
17
Let c = 6 + 9. Suppose 12*g - c*g = -9. Suppose 7*o - 44 = g*o. What is the remainder when o is divided by 6?
5
Suppose -f + 6 = -28. Calculate the remainder when 59 is divided by f.
25
Suppose -2*y + 1001 + 363 = 2*f, -4*f + 676 = y. What is the remainder when y is divided by 164?
28
Suppose b = -2*b + 135. Let v = 227 + -204. What is the remainder when b is divided by v?
22
Let q(x) = 2*x + 32. Let c be q(-9). Suppose -7*r + 3*r = t + c, 2*r + 112 = -4*t. What is the remainder when 20/t - 334/(-6) is divided by 30?
25
Suppose 5 = 4*x - 7. What is the remainder when (3 - 11/(-22))*(3 + 104/(-56)) is divided by x?
1
Suppose 2*h - 2*m - 51 = -3*h, -h - 4*m + 19 = 0. Suppose 11 = -4*u + 7. Calculate the remainder when 0/u + 1634/38 is divided by h.
10
Let b = -45 - -50. Let f = b - 7. Calculate the remainder when (-2 + 0 - f) + 44 is divided by 9.
8
Let w = 6875 - 6724. Suppose 2*d = -4*h + 24, 4*d + d + 4*h - 48 = 0. Suppose -d*l + w = -105. What is the remainder when 158 is divided by l?
30
Let s = -4350 + 5239. What is the remainder when s is divided by 64?
57
Suppose -4*m = 2*m + 4*p - 100, 5*p - 35 = -3*m. What is the remainder when 254 is divided by m?
14
Let g(d) = -5*d - 22. Let n be g(-5). Suppose 0 = -12*l + n*l + 126. Calculate the remainder when l is divided by 4.
2
Let a = 156 + 21. Let v = a - 128. What is the remainder when v is divided by 2/5 - (-336)/35?
9
Suppose 0 = -14*t + 1375 + 445. Let c = t - -518. Calculate the remainder when c is divided by 65.
63
Let i(j) be the second derivative of j**4/12 + 7*j**3/6 - 9*j**2 - 20*j. Let m be i(-9). Suppose 2*h - 3 + 1 = m. What is the remainder when 5 is divided by h?
0
Let u(c) = 6*c + 1. Let x be u(-1). Suppose 3*n = -4*h + 18 + 12, 0 = -4*n - 5*h + 38. What is the remainder when 17 is divided by (16 + n)*x/75*-5?
5
Suppose -8*l + 238 - 110 = 0. Let d(c) = -c**3 + 9*c**2 - 4*c - 3. Let v be ((-72)/(-30))/((-3)/(-10)). Calculate the remainder when d(v) is divided by l.
13
Suppose -q + 3*l + 60 - 21 = 0, -4*q - 2*l + 170 = 0. What is the remainder when q is divided by 42?
0
Let n = -11024 + 11058. Suppose k = 5*f - 12, -k - f = -5*f + 8. What is the remainder when n is divided by k?
2
Let h be 3 - (-34874)/6 - 8/6. Suppose -30*p - 804 = -h. Calculate the remainder when p is divided by 45.
32
Suppose 5*z - 4*d = 4*z - 3*z + 188, 0 = 5*d. Calculate the remainder when 828 is divided by z.
29
Let d(p) = p**3 + 23*p**2 + 89*p. Let o be d(-5). Suppose -12 = -3*k - 3*n, -5*k + 10*k - 40 = o*n. Calculate the remainder when 83 is divided by k.
5
Suppose 4*t + 5*o - 1207 + 187 = 0, -255 = -t - 2*o. Calculate the remainder when 409 is divided by t.
154
Let a(f) = -3*f**3 + 145*f**2 - 45*f + 4. What is the remainder when a(48) is divided by (-60)/(-4)*26/13?
28
Let t(z) = z**2 + 4*z - 6. Let h be t(-5). Let y = h - -23. Suppose 13*b + 18 = 15*b. Calculate the remainder when y is divided by b.
4
Let q = 4173 + -4160. Calculate the remainder when 113 is divided by q.
9
Let n be (-1)/(-4 - 88/(-24)). Suppose -n*q - 2552 = -5*o, 7*o - q - 1021 = 5*o. What is the remainder when o is divided by 19?
17
Let b be ((-1)/(10/(-15)))/(3/1108). Suppose -4*m = d - b, 3*m - 4*d + 2*d - 421 = 0. What is the remainder when m is divided by 38?
25
What is the remainder when 968 is divided by ((-108)/(-12) - -54) + -9?
50
What is the remainder when (0 + -1964 + -2)*(35/(-14) + 2) is divided by 43?
37
Suppose 0 = -u + 19 + 60. Let x = u - 65. Calculate the remainder when x is divided by 4.
2
Suppose -111 = -4*d + 1181. Suppose 5*r - 190 = -711*z + 716*z, -2*z = -r + 40. What is the remainder when d is divided by r?
35
Suppose 5*r = -b + 58, r + 8*b = 11*b + 18. Calculate the remainder when 116 is divided by r.
8
Let k be (-2155)/3 - -2 - (-260)/195. What is the remainder when 64 is divided by (-13)/(k/10) - 414/(-22)?
7
Suppose 593*g - 544 = -s + 597*g, 2*g + 12 = 0. What is the remainder when s is divided by 166?
22
Let h = 82 + -29. Suppose 39 = -4*u - 33. What is the remainder when h i