 What is the remainder when r(7) is divided by 87?
3
Suppose -2*z + 28 = -2*g, 0 = -2*z + 5*g + 20 + 14. Let m = z - -15. Let t(p) = p**2 - 12*p + 15. Calculate the remainder when m is divided by t(11).
3
Let i = 3 + 23. Let m(z) = -55*z - 9. Let l = -101 - -99. What is the remainder when m(l) is divided by i?
23
Let h be -3 + -3 + 5 + 1. Suppose 4*n - 117 = v, h*n - n = -5*v - 34. Calculate the remainder when 18/(-45) - (1686/(-15) + -1) is divided by n.
26
Suppose -g - 4*g + 3*a = -167, 0 = -3*g - 2*a + 85. Let v = -71 + 81. What is the remainder when ((-4)/10)/(v/(-1500)) is divided by g?
29
Suppose 10*h + 3 = 3*o + 7*h, 0 = -3*o + 4*h + 8. Let y = 3 + 10. Calculate the remainder when (5/1 + o)*37 is divided by y.
11
Let k be (-4)/(-3) - (-2 + (-14)/21). Suppose 5*t = k*n - 0*n + 175, 161 = 4*t + n. What is the remainder when t is divided by 10?
9
Let v(m) = -3*m**2 + 365*m - 382. Calculate the remainder when v(119) is divided by 201.
168
Suppose 4736*q = 4824*q - 108944. Calculate the remainder when q is divided by 154.
6
Suppose 281 = -3*l - 274. Let m = -2 - l. What is the remainder when m is divided by 94?
89
Suppose 4*a - 93*f + 92*f = 79, -a + 17 = -3*f. Let v(r) = 5*r**2 - 5*r + 2. Calculate the remainder when v(6) is divided by a.
12
Let s(g) = -4*g**2 - 20*g + 31. Let n(z) = 11*z**2 + 58*z - 93. Let k(l) = 3*n(l) + 8*s(l). What is the remainder when 207 is divided by k(-19)?
15
Let q = 4772 + -4478. What is the remainder when 308 is divided by q?
14
Suppose -10029*n + 9980*n + 245 = 0. Let j(t) = -t**3 + 5*t**2 - 2*t + 1. Calculate the remainder when j(4) is divided by n.
4
Let t(f) = 251*f - 663. What is the remainder when 1706 is divided by t(3)?
86
Suppose -1327*j = -668*j - 664*j + 655. What is the remainder when 5762 is divided by j?
129
Let m = -4622 + 4628. What is the remainder when 44 is divided by m?
2
Let j be (-2 - -4 - (0 - -9))*-5. Suppose -3*s + j = 53. What is the remainder when s/12 + (1 - (-9)/6) is divided by 2?
0
Let h = 20 - -46. Calculate the remainder when h is divided by (-124)/(-14) + (-2)/(-2) + (-201)/(-1407).
6
Calculate the remainder when (-110)/(-4) - 4/8 is divided by 86/7 - 15/(-21).
1
Let d(j) = j**3 + 3*j**2 + j + 9. Suppose 0 = -z - 3, -3*o + 3 = -o - z. What is the remainder when 34 is divided by d(o)?
7
Suppose 6*f = -24*f + 17730. What is the remainder when f is divided by 148?
147
Suppose 0 = -22*x - 126 - 50. Let z be 1/(1 + 24/(-23)). What is the remainder when (z/(-4))/(2 + 14/x) is divided by 15?
8
Let z be (-12926)/230 + 2/10. What is the remainder when 132 is divided by (z/21)/((-3)/54)?
36
Let w(m) = 3761*m - 2*m**2 - 7*m**2 - 3785*m + m**3 + 59. What is the remainder when 218 is divided by w(11)?
33
Suppose -10*s = 2*s - 1020. Suppose -3*n - 212 - 52 = 0. Let w = n + 132. Calculate the remainder when s is divided by w.
41
Let h(u) = 319*u - 2034. Calculate the remainder when h(8) is divided by 155.
53
Suppose 0 = i + 2*i + 3*h - 366, 2*i + 4*h = 238. Suppose 2*c - 107 = -5*q, q + 2*c = 6 + 17. What is the remainder when i is divided by q?
20
Let j(b) = -b**3 + 5*b**2 + 3*b - 6. Suppose 5*k - 276 = 2*z, 0 = -1915*k + 1916*k - 4*z - 84. Calculate the remainder when k is divided by j(5).
7
Let a(r) = -r**3 - 11*r**2 - 33*r - 6. Let x = -1265 - -1964. Suppose -5*t + x + 16 = 0. Calculate the remainder when t is divided by a(-7).
27
Let z be ((-24)/9)/((-8)/(-12)). Let l(s) = 3*s**2 - 2*s - 42. Calculate the remainder when 89 is divided by l(z).
5
Suppose 7*q + 24 - 220 = 0. Let m = q + -25. Suppose m*c + 20 = d, -2*c + 163 - 41 = 4*d. What is the remainder when 57 is divided by d?
28
Let s = 129 + 9. Let o(n) = -267*n + 5108. Calculate the remainder when s is divided by o(19).
33
Let i(r) be the second derivative of 5*r**4/4 - r**3/2 + 2*r**2 - 20*r. Suppose -11*x + 65 = 43. Calculate the remainder when i(x) is divided by 12.
10
Suppose -4*o + 30 = -46. Suppose -o = 2*w - 3*w. Let b(a) = -2*a**3 - a**2 + 3*a + 1. Calculate the remainder when w is divided by b(-2).
5
What is the remainder when (17 - 4 - -100)*2 is divided by 57?
55
What is the remainder when ((-69)/12)/((-14)/1120) is divided by 4?
0
Let o = -71 - -92. Calculate the remainder when 228 is divided by -1 - 3/(o/(-329)).
44
Suppose 5*k - 38975 = -5*f, f - 35*k = -30*k + 7813. Calculate the remainder when f is divided by 75.
73
Let s = 7506 + -7499. Calculate the remainder when 197 is divided by s.
1
Let g = -227 - -231. Suppose g*m + 1 = 77. Calculate the remainder when m is divided by 7.
5
Let v = 741 + -581. Let z = v - 97. What is the remainder when 177 is divided by z?
51
Let m(h) be the first derivative of 3*h**2 + 11*h - 11 + 1/4*h**4 - 8/3*h**3. What is the remainder when m(9) is divided by 37?
35
Let i = -10248 + 10436. Calculate the remainder when 1486 is divided by i.
170
What is the remainder when -9 - (-4 + -462 + 7) is divided by 157?
136
Suppose a - 3*l - 453 = -a, 4*l - 446 = -2*a. What is the remainder when (31/(-18) + 50/a)*-74 is divided by 29?
24
Let o = -296 + 121. Let c be o/(-50) - 1/(-2). Suppose -44 = -2*v - c*m, -4*m = v - 10 - 4. What is the remainder when 58 is divided by v?
28
Suppose -344 = -l - 2*p, 5*p - 775 - 592 = -4*l. Let v = l - 325. Let k = 65 + -5. What is the remainder when k is divided by v?
8
Let f(n) = n**3 + 13*n**2 + 9*n - 26. What is the remainder when f(-11) is divided by ((-1)/1)/(18/(-108))?
3
Suppose -b - 3489 = -105*w + 100*w, -5*w - b + 3501 = 0. What is the remainder when w is divided by 37?
33
Suppose 34 + 211 = 49*a. Calculate the remainder when 228 is divided by a/(3 - 384/138).
21
What is the remainder when (6/(-4))/((32/240)/(1812/(-15))) is divided by 32?
15
Let s(a) = -a**3 - 15*a**2 - 17*a + 20. Let z be s(-16). What is the remainder when z*(-3 + (-65)/(-20)) is divided by 47?
43
Suppose w = 4*n - 2*w - 20, -2*w = n - 5. Suppose h + 379 = -s + n*s, 2*h + 778 = -2*s. Calculate the remainder when 1/((-3)/h*3) is divided by 22.
21
Let b = -80 - -143. Calculate the remainder when b is divided by 25 - (0 + -2) - -5.
31
Suppose 0 = -5*d - 12 - 3. Let g = 161 + -99. What is the remainder when g is divided by (10/25)/(d/(-60))?
6
Let a = 3925 + -1631. What is the remainder when a is divided by 11?
6
Suppose -3*o = -4*y - 107710 + 6801, 3*y + 67271 = 2*o. What is the remainder when o is divided by 15?
13
Suppose -5*d - 80 = -5*n + 60, d = -4*n + 137. Calculate the remainder when ((-62)/10 + 1)/((-60)/600) is divided by n.
19
Let x be (-5 - 1)*(14 + -15). Suppose 0 = x*p - 184 + 52. Calculate the remainder when p is divided by 7.
1
Suppose 71*j = -5*j - 30823 + 128863. Calculate the remainder when j is divided by 643.
4
Let s = 120 + -118. Let j be (-4 + 8)/(s/4). Suppose 0 = -j*z + 12*z - 24. What is the remainder when 9 is divided by z?
3
Let y(g) = 4*g**2 + 2*g + 4. Suppose r + 3*x = 16 + 11, -3*r - 4*x + 76 = 0. What is the remainder when (3 - r/(-2)) + -2 is divided by y(-1)?
1
Suppose -19*u - 197 + 805 = 0. Suppose -4*f = -16 - u. What is the remainder when 249 is divided by f?
9
Let a = 12425 - 11760. Calculate the remainder when a is divided by 28.
21
Let u be (266/(-42) - -5)*60/2. Let t(n) = n + 51. Calculate the remainder when 152 is divided by t(u).
9
Let p be 2 + (-48)/26 + 55704/429. Suppose p*v = 117*v + 858. Calculate the remainder when v is divided by 14.
10
Suppose -4 = 6*n - 2*n. Let u be 21 + n + (-15 - -20). Suppose 0 = 28*h - u*h - 78. Calculate the remainder when 76 is divided by h.
24
Let i = -13985 - -14778. Calculate the remainder when i is divided by 22.
1
Suppose -3*b = 3*y - 2769, -b - 22*y + 24*y = -920. What is the remainder when b is divided by 77?
75
Let i = 374 + -363. Suppose -2*d - 3*o = -27, -i*d = -10*d + 2*o - 11. Calculate the remainder when (-5)/(1/(-12)*1) is divided by d.
18
Suppose 7*x - 2*x = -2*i + 186, 93 = i + 5*x. Let j = i - 88. Suppose 0 = j*v - 348 - 72. What is the remainder when v is divided by 22?
18
Let w = 702 - 691. Calculate the remainder when 239 is divided by w.
8
Let h(l) = -l**3 + 10*l**2 - 7*l + 8. What is the remainder when h(8) is divided by -9 - (14 + -18) - (-78)/3?
17
Suppose 122*k - 60*k - 4924 = 60*k. Calculate the remainder when k is divided by 176.
174
Let t(a) = 12*a - 58. Let w(d) = 7*d - 30. Let y(g