 remainder when 4/(-1) - (-141 - -2) is divided by f?
12
Suppose 3*k + 30 = k. Let z(b) = -2*b**2 + 3*b - 6. Let u be z(0). Calculate the remainder when 19 is divided by k/5*(-1 - (-8)/u).
5
What is the remainder when 474 is divided by 32/(-3)*9975/(-2660)?
34
Let o(n) = n**2 - 9*n - 6. Let v be o(10). Let u(w) be the first derivative of 2*w**3 + 3*w**2/2 - 367. What is the remainder when u(v) is divided by 14?
10
Suppose -3*g + 15*j + 899 = 13*j, 0 = -2*j - 8. What is the remainder when g is divided by 75?
72
Let j = -1760 + 1781. Calculate the remainder when 477 is divided by j.
15
Suppose 16*u - 10*w + 2245 = 21*u, 0 = -5*u + w + 2267. Calculate the remainder when 1380 is divided by u.
21
Suppose -9*u + 27 + 36 = 0. Suppose u*g = 12*g - 20. Suppose -2*j + 2*p - 4*p = -g, j = -3*p - 8. Calculate the remainder when 11 is divided by j.
4
Let d(g) = -g**3 + 31*g**2 - 3*g + 106. Suppose r - 22 = 15. Calculate the remainder when r is divided by d(31).
11
Suppose 0 = -2*d - 22*n + 20*n + 150, 4*d - 306 = -n. Calculate the remainder when 143 is divided by d.
66
Let k = -917 - -1448. Let m = 2 - -3. Suppose -579 = -m*z + k. Calculate the remainder when z is divided by 45.
42
Suppose 3*r - 18589 = -18544. What is the remainder when 89 is divided by r?
14
Let r = 40188 + -40180. Let b = -67 - -95. Calculate the remainder when b is divided by r.
4
Let a(f) = 2*f**2 + 40*f + 180. What is the remainder when a(-21) is divided by 106?
10
Let f be (-3 - (-64)/24)*27. Let k(v) be the second derivative of v**3/2 + 37*v**2/2 - 5*v. Calculate the remainder when 67 is divided by k(f).
7
Let c = 254 + -209. Let y = 278 - 60. Let b = y + -85. What is the remainder when b is divided by c?
43
What is the remainder when 1/5 + (-6864046)/(-1145) is divided by 24?
19
Suppose -719*h + 727*h - 96 = 0. Suppose -4*m + 27 + 42 = 3*o, -m + 23 = o. Let v = o - h. What is the remainder when 17 is divided by v?
6
Let y be 3 - (2 - 1) - (4 - -20). Let b be (-1756)/y + 4/22. Suppose -4*z + o + b = 0, -z + 2*o + 23 = o. What is the remainder when 73 is divided by z?
16
Let b(y) = -163*y - 7304. Calculate the remainder when 333 is divided by b(-45).
23
Let o(s) = -803*s - 71. Calculate the remainder when o(-1) is divided by 67.
62
Suppose -715 = 13*y - 2275. Calculate the remainder when y is divided by 24.
0
Let g be ((-678)/12 - 5)*-14. Let j = g + -512. Calculate the remainder when j is divided by 71.
65
Let p be 28*(-12)/8*(-8)/12. Let q = 2 + p. What is the remainder when 5282/95 + 3/(q/4) is divided by 16?
8
Suppose 13 + 29 = 21*f. Suppose 5*w + 2*v = 719, 0*v = 2*w + f*v - 290. Let d(h) = h**3 - 4*h**2 + 3*h - 3. What is the remainder when w is divided by d(5)?
32
Suppose -r = -2*r - 3*s + 75, -r + 71 = s. Let n = 11 + -23. Let l = 26 + n. What is the remainder when r is divided by l?
13
Let w(h) = h**3 + 6*h**2 - 15. Let b be w(-6). Let n = -91 - -178. Calculate the remainder when n is divided by ((-1)/4)/(b/1500).
12
Suppose 6*g + 2236 = 130. Let m = g - -425. What is the remainder when m is divided by 11?
8
Let v = -21 + 63. Suppose -11*q + 249 = -1566. Calculate the remainder when q is divided by v.
39
Let m(l) = l**3 - 37*l**2 + 214*l - 55. What is the remainder when 394 is divided by m(30)?
4
Let p(f) = 241*f**2 - 586*f - 3. What is the remainder when p(6) is divided by 7?
5
Suppose -z - 72 = 3489*t - 3494*t, 0 = -3*t + z + 46. What is the remainder when 841 is divided by t?
9
Let q = -60 - -65. Suppose 0*d - 2*z = 3*d - 3, 2*d - z + q = 0. Calculate the remainder when 6*(1/(d/(-2)) - -2) is divided by 13.
11
Let p(c) = -24*c + 133. Let o be p(5). Suppose o*m = -m + 364. What is the remainder when 179 is divided by m?
23
Let a(t) = -3*t**3 + 5*t**2 - 26*t - 49. What is the remainder when a(-4) is divided by 110?
107
Suppose -26 = -2*d - 0*d. Suppose -744*i + 459 = -735*i. Calculate the remainder when i is divided by d.
12
Let l(p) be the first derivative of 7*p - 2*p**2 - 3*p**2 + 23 - 7*p + p. What is the remainder when 31 is divided by l(-1)?
9
Suppose -579*b = -575*b - 4892. Calculate the remainder when b is divided by 18.
17
Let j = 143 - 108. Suppose 6 + 0 = 3*i, -i - 206 = -2*z. What is the remainder when z is divided by j?
34
Suppose 47*l = 40*l + 567. What is the remainder when l is divided by 40?
1
Let f = 63 + -55. Suppose 5*j - f*j + 144 = 0. What is the remainder when j is divided by (-21)/(-2) + (-5)/10?
8
Let i(d) = -220*d + 899. What is the remainder when 4704 is divided by i(4)?
11
Let t = 40 - 34. Suppose -3*o = -t*o + 4*n + 48, 3*o - 33 = -n. What is the remainder when 47 is divided by o?
11
Suppose 9*d = 15*d - 30. Suppose d*b - 2*q + 40 = 0, -4*b - 4*q = -0*b + 60. What is the remainder when (b + -1)*-1*(2 - 1) is divided by 3?
2
Let i = 783 - 773. Suppose -i*h = -3*h - 385. What is the remainder when 175 is divided by h?
10
Let h = 115 + -101. What is the remainder when (-4)/6 - 238/(-6) is divided by h?
11
Calculate the remainder when 2197 is divided by 2375/25 + -13 + 6.
85
Suppose 0 = 2*t + 4*o - 68, 0 = 2*t - 2*o + 4*o - 76. Let c = t - -24. Calculate the remainder when c is divided by 1 + (-6)/9 + 164/12.
10
Let z be -7 - (-2 - (-10)/5). Let p(v) = v**3 + 6*v**2 - 7*v + 8. Calculate the remainder when 13 is divided by p(z).
5
Suppose -19*u + 2852 + 4940 = -5413. What is the remainder when u is divided by 52?
19
Let t be (70/(-15))/((-4)/9)*2. Suppose 32*d = t*d + 3135. What is the remainder when d is divided by 12?
9
Let p(a) = a + 20. Let q = -167 + 182. Suppose q = -7*j + 12*j. What is the remainder when p(0) is divided by j?
2
Suppose 242*i = -59*i + 29*i + 239360. Calculate the remainder when 2649 is divided by i.
9
Let v = 15 + -9. Suppose -3*z - k + v = 0, 4*k + 0 = -2*z + 4. Calculate the remainder when (1*z)/(4/28) is divided by 4.
2
Suppose 290 = y - 4*n, n - 45 = -4*n. Suppose 0*u + 410 = 5*u. What is the remainder when y is divided by u?
80
What is the remainder when 18/(-180)*55 + 39582/12 is divided by 1638?
17
Let d be (-76)/(-5) + (-6)/30. Let c = d + -9. What is the remainder when c is divided by ((-4)/30)/((-174)/7830)?
0
Let r = 567 + -492. What is the remainder when 6370 is divided by r?
70
Suppose 38*o = 34*o - 4, -65 = -z - 5*o. What is the remainder when z is divided by 43?
27
Suppose -5*n + 668 = c, 3*c - 5*n = -8*n + 2076. What is the remainder when c is divided by 44?
38
Suppose 72*u - 3400432 = -401*u + 85*u. What is the remainder when u is divided by 6?
4
Let i = 17459 + -16852. What is the remainder when i is divided by 68?
63
Let w(n) = -n**3 + 6*n**2 + 3*n + 17. Let t be w(8). Let k = 21 - t. Calculate the remainder when k is divided by 23.
16
Let l(r) = 5*r + 325. Let x(a) = -a**2 - 17*a + 33. Calculate the remainder when l(-51) is divided by x(-18).
10
Suppose 81*b - 50*b = -7*b + 4484. Calculate the remainder when 698 is divided by b.
108
Suppose -2*s = 5*r - 101, 0*r + 4*r + 4*s - 76 = 0. Let u be -3 - (0 + 15/(-3)). Suppose 0 = u*g - 5 - r. What is the remainder when g is divided by 5?
3
Suppose -2*y - 25 = -4*v - 9, -24 = -2*y - 4*v. Suppose -y*c = -4*j - j + 117, 94 = 4*j - 2*c. What is the remainder when 88 is divided by j?
19
Suppose 24*t = 23*t - 3*r - 191, -5*r - 757 = 4*t. Let u = -105 - t. Calculate the remainder when u is divided by 22.
17
Let u = -326 + 639. Calculate the remainder when u is divided by 1317/63 + (117 + -118 - (-69)/63).
19
Let i(z) = -3*z + 16. Let s = -6 - -11. Let a be s*(-2 - (3 - 19/5)). What is the remainder when 100 is divided by i(a)?
32
Let w(z) = 6*z - 51. What is the remainder when w(11) is divided by 6 - (3 + -8*2/4)?
1
Let u(p) = 8*p**2 - 706*p - 4310. Calculate the remainder when u(-6) is divided by 208.
6
Suppose -x + 46 = 23. Suppose 0 = 4*f - j - 472, -x = 4*f + 2*j - 495. What is the remainder when f is divided by 32?
22
Let x = 2180 - 2178. Calculate the remainder when 162 is divided by x.
0
Suppose 5*o - 5*r - 195 = 0, -4*o - r + 121 = 2*r. Suppose 18 = 7*n - n. Calculate the remainder when o is divided by (6/4)/(n/24).
10
Let g = -241 + 448. Suppose -44*c + g = -35*c. Suppose 2*l - 8 - 8 = 0. What is the remainder when c is divided by l?
7
Suppose h = 3*h - 28. Suppose -y + h = y. Suppose -3*k + 11*x = 6*x - 29, -2*k + 2 = x. What is the remainder when y is d