e f(4). Let u = 112 + p. Suppose 217 = 5*o - u. Calculate the remainder when o is divided by 20.
17
Let s(b) = 136*b**2 - 2*b + 4. Calculate the remainder when s(1) is divided by 92.
46
Let v = 79 - -47. Suppose 0 = 3*t + 4*u - v, 4*t + 0*u = 5*u + 199. What is the remainder when t is divided by 16?
14
Let a = -6 + 27. What is the remainder when (-8)/14 + 558/a is divided by 15?
11
Let n = 182 - 100. Let b = 94 - n. Let o = -69 + 103. What is the remainder when o is divided by b?
10
Let t(d) = d**3 - 13*d**2 + 46*d - 8. Suppose b = -3*v + 26, -5*v + 42 + 18 = 5*b. What is the remainder when 35 is divided by t(v)?
15
Let f(b) be the third derivative of b**6/120 - b**5/20 + 19*b**4/24 - 41*b**3/3 - 266*b**2. What is the remainder when 28 is divided by f(4)?
8
Suppose -u + 54 = -3*h + 4*h, 128 = 2*u - 2*h. What is the remainder when u is divided by 20?
19
Let m = 89 - -7. Suppose 202*u - 244*u + 1470 = 0. What is the remainder when m is divided by u?
26
Suppose 4*y - 274 = -2*l, 3*l - 431 = -y - 0*y. Suppose -2*q + l = 11. Let f = -39 + q. Calculate the remainder when 108 is divided by f.
24
Suppose -2*w = 8*q - 6*q - 44, -5*w + 5*q = -160. Suppose -1498 = -4*c - 4*l - 418, 2*c - 539 = -l. What is the remainder when c is divided by w?
26
Let d(r) = 7*r + 2*r - 2*r - 2*r - 3. Calculate the remainder when 51 is divided by d(7).
19
Let b = 87 + -73. Let n = 460 - 409. What is the remainder when n is divided by b?
9
Suppose -3*l = -r + 67, -68*l - 234 = -4*r - 73*l. Calculate the remainder when 162 is divided by r.
40
Suppose 5*v + 10 = 5*l, -4*l = 3*v - 3*l - 10. Suppose 59 = v*b - 5*a, -4*b + a = -a - 110. Calculate the remainder when 403 is divided by b.
25
Suppose 26*v - 384 = 23*v. Suppose -4*z - 341 = -p - v, -p = z - 218. Calculate the remainder when p is divided by 20.
17
Suppose -7905 + 7935 = w. Let s(m) = -m**3 + 18*m**2 + 25*m - 10. Calculate the remainder when s(19) is divided by w.
14
Let y = 26 + -69. Let o(c) = -c**3 + c**2 + 2*c - 3. Let p be o(-4). Let j = p + y. What is the remainder when j is divided by 4?
2
Suppose -32 - 184 = -3*p. Let g = 64 + 98. Suppose -g = -9*j + p. Calculate the remainder when 76 is divided by j.
24
Let b(t) be the third derivative of t**6/120 + t**5/30 + t**4/3 - 4*t**3/3 - t**2 - 7*t. Let r = 63 - 60. Calculate the remainder when b(r) is divided by 16.
13
Let m = 240 - 220. Suppose 0 = -5*n - 2*f + 16, 0*n + 3 = 3*n - f. Suppose -n*d + 3*d + 75 = a, -2*a = d - 147. What is the remainder when a is divided by m?
14
Suppose 8412 = 5*j - 3*v, -403*j - 6724 = -407*j + v. Calculate the remainder when j is divided by 344.
304
Suppose -134*g - 4473 + 8405 = -12416. Suppose -3*f - 36 = -3*a, 9 - 1 = 4*f. Calculate the remainder when g is divided by a.
10
Let s(x) = -13*x + 15 - 25 + 13 + 2*x**2. What is the remainder when 255 is divided by s(-4)?
81
Let b(a) = 3*a**2 + a - 6. Let z(k) = k**2 - 3*k - 21. Suppose -2*l + y + 24 = 5, -3*l + 26 = -y. Calculate the remainder when z(l) is divided by b(-2).
3
Suppose -63*d + 23*d = -480. Suppose -d = -r - 4. What is the remainder when 37 is divided by r?
5
Suppose -3*l - 10014 = -4*w, -2*l - 5645 = -5*w + 6883. What is the remainder when w is divided by 93?
90
Suppose -11*m = 4*m - 2971 + 196. Calculate the remainder when 643 is divided by m.
88
Let y be 2 + (-312)/28*(-21)/6. Suppose -4*r + 2*x = -19 - 99, -2*r - 5*x + y = 0. What is the remainder when 277 is divided by r?
25
Let f(q) = 3*q**3 - q**2 - 19*q + 12. Calculate the remainder when f(4) is divided by 66.
46
Let s(z) be the first derivative of z**4/4 + 2*z**3 + z**2 + 3*z - 20. Suppose -5 = a - 0*a. What is the remainder when 31 is divided by s(a)?
13
Let f = 1019 - 693. Let y = f + -273. What is the remainder when y is divided by 15?
8
Let t be (8 - 2)/(-2) - -2. Calculate the remainder when 165 is divided by 1*-145*t/5.
20
Let z = 127 - 74. Suppose n = 9*y - 5*y + 111, -4*n - y = -444. Suppose -b = u - 2 - 21, -3*b + n = 5*u. What is the remainder when z is divided by u?
11
Let o = -891 + 575. Let u = o + 358. Calculate the remainder when 151 is divided by u.
25
Suppose 591 = 7*w + 5*b, 0 = 1224*w - 1219*w - 4*b - 460. Suppose 0*x + 30 = x. Calculate the remainder when w is divided by x.
28
Suppose 5*h - 4 = 7*s - 6*s, 2*h + 3*s + 12 = 0. Suppose 5*w - 20 = h, -4*p + 84 + 56 = -3*w. Calculate the remainder when 87 is divided by p.
11
What is the remainder when 698 + ((-3)/(-18) - (-70)/12) is divided by 175?
4
What is the remainder when 216/(-4212) + 143914/78 is divided by 68?
9
Let n = 1799 - 1780. What is the remainder when 351 is divided by n?
9
Suppose 5*i + 1 - 49 = -4*x, 0 = x - 2. Let b be (252/i)/(-9)*-2. What is the remainder when 20 is divided by 10/8*(b + (-12)/4)?
0
Let a(v) = v**3 + 11*v**2 + 6*v - 4. Let t be 2 + ((-66)/(-4))/((-2)/4). Let x = t + 22. What is the remainder when a(x) is divided by 22?
16
Let y = 5 - 6. Let q be (69 - -11)/(2 + y). Suppose 14*p - 886 = q. What is the remainder when p is divided by 18?
15
Suppose -50*r - 39*r = -8455. What is the remainder when 229 is divided by r?
39
Suppose 10089 - 1160 = 2*b - i, 4*b - 17849 = -i. Calculate the remainder when b is divided by 24.
23
Suppose 39*a = 52*a + 3939. Let l = -292 - a. Let o(x) = 8*x - 1. What is the remainder when o(5) is divided by l?
6
Let q(o) = o**2 - 23*o + 87. Suppose -2*d + 38 = 4*l, -5*d + 25 = -3*l - 70. Calculate the remainder when q(d) is divided by 7.
4
Suppose -194*t + 14123 + 2949 = 0. What is the remainder when 701 is divided by t?
85
Let s(p) = 7*p**2 - 14*p**2 - 7 + 4*p**2 - 13*p**2 - 31*p + 3*p**3. Let i = -22 + 62. Calculate the remainder when i is divided by s(7).
19
Suppose 0 = 76*n - 95*n + 3401. Calculate the remainder when n is divided by 0 - (-7)/((-21)/(-111)).
31
Suppose -4*j = h - 74, 2*j - 127 = 3*h - 293. What is the remainder when 1177 is divided by h?
17
Let h = 230 - 136. Suppose 4*w - 728 = -0*w. What is the remainder when w is divided by h/3 + ((-7)/(-3))/(-7)?
27
Let p be (-276)/18*-3 + -7. Suppose -38*i = -p*i + 12. Calculate the remainder when 12 is divided by i.
0
Suppose 3*d - 5*d = -58. Let j = -38 - -956. Let t = 934 - j. Calculate the remainder when d is divided by t.
13
Let m(l) = 8*l**2 - 136*l + 418. Calculate the remainder when m(35) is divided by 14.
12
Suppose 20 = 11*q - 24. Suppose -139 = -4*w - f, f - 138 = -q*w - f. What is the remainder when 136 is divided by w?
31
Suppose 0 = 218*y - 223*y - d + 2789, -3*d - 577 = -y. Calculate the remainder when y is divided by 147.
118
Let x(k) = 13*k**3 - 19*k**2 + 30*k - 34. Calculate the remainder when x(6) is divided by 32.
30
Let o be ((-3)/6*0)/(-5). Suppose -5*x - 85 = -5*q, -3*x + 4*x + 5 = o. Let y = 185 - 128. What is the remainder when y is divided by q?
9
Calculate the remainder when (0 - (-3 - 522)) + -28*(-16)/(-56) is divided by 258.
1
Let v = 141 - 134. Suppose v*b = 2*b + 290. What is the remainder when b is divided by 21?
16
Suppose 0 = -5*o + 10, -149*y - 4*o - 220 = -155*y. Calculate the remainder when 3176 is divided by y.
22
Let f(r) = 170 - 15*r + 3*r + 9*r - 4*r. Calculate the remainder when 173 is divided by f(16).
57
Suppose 0 = 8*c - 78*c - 32000 + 98780. Calculate the remainder when c is divided by 30.
24
Let b = -132030 + 132068. Let d = -3 + 18. Calculate the remainder when b is divided by d.
8
Let g(b) = 2*b**2 + 2*b - 1. Let d(y) = 36*y**2 - 607*y + 233. What is the remainder when d(17) is divided by g(2)?
10
Let p = 57 + -53. Suppose 0 = 5*o + 10, -p*v + 2*o + 105 = -3. Let b = -23 - -125. Calculate the remainder when b is divided by v.
24
Let l = 2904 - 2755. What is the remainder when l is divided by 39?
32
Suppose -462 = -13*y - 29*y. Calculate the remainder when 1119 is divided by y.
8
Let z(t) = 256*t - 2260. What is the remainder when z(12) is divided by 54?
2
Let p(c) = 58 + c + 36 + 0*c + 2*c. Calculate the remainder when p(-24) is divided by 6.
4
Suppose 3*c - 404 = -146. Let a be (-20)/(-8) + (-735)/(-10). Let l = 120 - a. What is the remainder when c is divided by l?
42
Let j = -5 + 10. Let g(t) = -t + 13. Let m be (4/((-60)/9))/(1/(-10)). What is the remainder when g(m) is divided by j?
2
Suppose -12*v + 11880 - 2626 = -11434. Calculate the remainder when v is divided by 134.
116
