 - 701 = 0. Calculate the remainder when 699 is divided by r.
6
Suppose 4*k - 70 = 4*v + 34, 3*k - 2*v - 66 = 0. Suppose 2*a - 7*f = -2*f + 199, 0 = -5*a + f + 486. What is the remainder when a is divided by k?
13
Suppose -p + i - 512 = -6*p, 0 = -5*p + 4*i + 502. Let s(l) = l**2 + 14*l + 15. Calculate the remainder when p is divided by s(0).
12
Suppose 2*i = 128 - 8. What is the remainder when 1633/7 + (-24)/(-66)*1760/(-2240) is divided by i?
53
Suppose 0 = -w + 5*w. Suppose 3*y - 2 - 10 = w. What is the remainder when 7 is divided by (-9)/(-6)*(y + (-8)/3)?
1
Let c = 3915 + -3892. What is the remainder when 53 is divided by c?
7
Suppose -w = -6*w + 205. Suppose -10 = -5*p + 3*p. What is the remainder when w is divided by (6/(-2))/(-2*p/10)?
2
Let i(c) = -2*c + 14. Let v(t) = -t**2 - 25*t - 19. Let z(j) = -2*j + 2. Let u be z(13). Let w be v(u). Calculate the remainder when 14 is divided by i(w).
2
What is the remainder when (-20)/2 - (5 + (-11964)/12) is divided by 16?
6
Suppose 3*g = 18*m - 22*m + 110, 0 = 4*g + m - 125. Suppose -a = 4*w + 3, 2*w + 0*w = -4*a + 58. Calculate the remainder when g is divided by a.
13
Let k(o) be the first derivative of -5*o**3/3 - 29*o**2 - 21*o + 130. Calculate the remainder when 70 is divided by k(-11).
10
Suppose 83 = 5*f - 4*i, 0 = -i - 2*i - 6. Calculate the remainder when (-1)/5 - (2574/(-45) + (5 - 5)) is divided by f.
12
Suppose 3*a - 95 = 235. Let c = a - 87. Calculate the remainder when 110 is divided by c.
18
Suppose 95*f - 91*f - b = 88, -4 = -f - 2*b. Suppose -2*w + 603 = 5. Calculate the remainder when w is divided by f.
19
Suppose 548*j + 6589 = 559*j. What is the remainder when j is divided by 122?
111
Let g(j) = -j**3 + 4*j**2 + 2*j + 3. Let h be g(4). Suppose 0*w + w = 4*a + h, 5*w - 4*a = 39. What is the remainder when 27 is divided by w?
6
Suppose 0 = -o - 4*b + 7, -2*o = b - 0*b - 49. Let i(p) = -24*p - 471. Calculate the remainder when o is divided by i(-20).
0
Let b(c) = 11*c**2 + 20*c - 320. What is the remainder when b(7) is divided by 36?
35
Let n = 3653 + -3513. What is the remainder when 381 is divided by n?
101
Suppose 108 = 5*w - 22. Suppose 2*q + 4 = b, -2*b - w = -6*b - 2*q. Suppose 8*z - 156 - 12 = 0. Calculate the remainder when z is divided by b.
3
Let f be (1 + 0)/((28/(-7))/(-144)). Suppose 5*p - f = -6. Suppose -584 = -2*n - p*n. Calculate the remainder when n is divided by 20.
13
Suppose -p - 100 = -5*p. Suppose -p*n + 21*n = -16. Suppose 5*x + 37 - 646 = -y, n*y = -x + 137. Calculate the remainder when x is divided by 31.
28
Let f(l) = l**3 - 17*l**2 + 6*l - 49. What is the remainder when f(17) is divided by 41?
12
Let c(q) be the first derivative of 18 + 1/2*q**2 - 21*q + 2/3*q**3. Calculate the remainder when 226 is divided by c(6).
55
Let a(m) be the third derivative of m**6/120 - 2*m**5/15 - 19*m**4/24 - 3*m**3 - 280*m**2. Calculate the remainder when a(11) is divided by 70.
66
Let m(v) = 27*v + 7. Let x be m(-1). What is the remainder when 27 - (1 + (-1 - -1)) is divided by (35/x - -1)/(3/(-36))?
8
Suppose -460*w + 498*w = 1953 - 319. Calculate the remainder when (8/(-2))/((-2)/61) is divided by w.
36
Let i = 73 + 5. Let k = -7069 + 7079. Calculate the remainder when i is divided by k.
8
Let v(c) be the first derivative of -c**4/4 + c**3 + 6*c**2 - 4*c + 2. Let s be v(5). Calculate the remainder when s + -2 - (-12 + -5) is divided by 8.
5
Let s(o) = 3*o**2 + 62*o - 69. Suppose 3*i - 5*y + 71 = 0, 3*i + 19 = -4*y - 43. Calculate the remainder when s(i) is divided by 5.
4
Let z(j) = 10*j + 76. Let p be z(-8). What is the remainder when 3 + 151 + -8 + p is divided by 31?
18
Suppose 16*k - 6*k = 118*k - 11556. What is the remainder when 1490 is divided by k?
99
Let b(q) = 3*q**2 - 16*q - 67. Let h(s) = -s**2 - 23*s + 18. What is the remainder when h(-20) is divided by b(-3)?
6
Calculate the remainder when 27376 is divided by 3/((-2532)/(-156) - 16).
11
Suppose -48*k + 41*k + 70 = 0. Let x = k + 157. What is the remainder when x is divided by 21?
20
Suppose -6*h - 17*h - 14528 = -93970. What is the remainder when h is divided by 72?
70
Let c = -21 + 24. Suppose -4*x = -h + 5, c*x = -7*h + 3*h + 20. What is the remainder when 3 - -20*8/(h + -3) is divided by 21?
20
Suppose -72 = -5*r + c, -18 = -r - r + 4*c. Let f be r/25 + 6/(-10). Suppose -p + f = -7. What is the remainder when p is divided by 3?
1
Suppose 5*q - 80 = -p, -2*q = -5*p - 5*q + 466. Suppose -3*h + 55 = f, -2*h = -4*f - 7*h + 206. Calculate the remainder when p is divided by f.
46
Let c(s) = -35*s**2 + 1050*s + 20. Calculate the remainder when 1428 is divided by c(30).
8
Let j = 4036 + -3391. What is the remainder when j is divided by 229?
187
Suppose -x = -3, -3*w + 5*x = w - 17. Suppose -w*p = -3*p - 155. Suppose -3*q = q - 484. Calculate the remainder when q is divided by p.
28
Let a(n) be the first derivative of 9 + 1/4*n**4 - 6*n + 3*n**2 - n**3. Calculate the remainder when 132 is divided by a(4).
30
Suppose 91*t - 92148 = 353661. What is the remainder when t is divided by 35?
34
Let w = 6744 + -6632. What is the remainder when 471 is divided by w?
23
Suppose -45480 = -10*f - 30*f. Let x = -616 + f. What is the remainder when x is divided by 31?
25
Suppose 86 + 460 = 6*o. Suppose 2*t = 5*c - 355, -c - 17 = -t - o. What is the remainder when c is divided by 24?
21
What is the remainder when 1386/1617 + (-15724)/(-14) is divided by 24?
20
Let o = 5592 - 5572. Calculate the remainder when 14077 is divided by o.
17
Let b(n) = 275*n - 399. Calculate the remainder when b(3) is divided by 108.
102
Suppose -4*i + 1 = -5*g + 17, -i - 4 = 2*g. Let h = 6 - i. Calculate the remainder when (2 + -8)*(-8)/(-80)*5 + 26 is divided by h.
3
Let z(y) = y**3 - 2*y**2 - y + 2. Let f be z(2). Suppose 2*r - 2 = f, 468 = 5*k - 3*r + 121. What is the remainder when k is divided by 25?
20
Let c = 157 - 132. What is the remainder when c is divided by (-308)/(-55)*((-21)/(-6) + -1)?
11
Let x(z) = z**2 - 3*z - 1. Let t(r) = r**3 - 99*r**2 + 16*r - 1581. Calculate the remainder when t(99) is divided by x(4).
0
Suppose 25756 = -29*x + 76*x. Calculate the remainder when x is divided by 62.
52
Suppose 0 = -l - 2 + 1. Let h = -25829 + 25842. What is the remainder when 2 - (-2 - (-21)/l) is divided by h?
12
Let t = 20542 + -20536. Suppose 0 = g + 16 - 64. Suppose l = 3*l + 2*k - g, 0 = 5*l - 4*k - 93. What is the remainder when l is divided by t?
3
Let d = -2313 + 2372. Calculate the remainder when 3654 is divided by d.
55
Let l(k) = k**2 - 3*k + 3. Let m be l(3). Suppose -m*p = -a - 2, 1 = 5*p + a - 5. What is the remainder when p - (4/10 - 2488/20) is divided by 18?
17
Let u be (-1066)/(-10) - (-4)/10. Let q be (-6538)/84 + 1*(-2)/12. Let b = u + q. Calculate the remainder when 56 is divided by b.
27
Let u be (4 - 1) + 5 + -27 + 5. Let m be (35/u + 1)*(-16)/6. What is the remainder when -3*(0 - 6)*6/m is divided by 14?
13
Let g = -649 - -692. Let u(j) = -4*j**2 + 174*j - 72. Calculate the remainder when 14 is divided by u(g).
0
Suppose -3*z + z - 3*z = 0. Suppose z = 2*u - 77 + 23. Suppose -f + u + 19 = 0. What is the remainder when f is divided by 25?
21
Let u = -3 + 5. Suppose -u - 2 = i + 2*s, 3*i = -s + 8. Calculate the remainder when 78 is divided by i/(24/(-63))*-2.
15
Let d(i) = 5*i - 17. Let u be d(10). Suppose -u*z + 1445 - 554 = 0. Let r = 165 + -86. What is the remainder when r is divided by z?
25
Suppose 108 = 316954*q - 316945*q. Calculate the remainder when 19388 is divided by q.
8
Suppose h - 2*l = 11, 3*h + l - 4 = 1. Suppose -3*b + 3 = -3, 0 = -5*a + h*b + 119. What is the remainder when 59 is divided by a*(-1 + (-16)/(-10))?
14
Let u = -10348 - -10376. Calculate the remainder when 5035 is divided by u.
23
Suppose -9*z + 852 = -962 - 2920. What is the remainder when z is divided by 61?
38
Let v = -5262 - -5294. What is the remainder when 342 is divided by v?
22
Let f(l) = -2*l**2 + 63*l - 342. Calculate the remainder when 255 is divided by f(19).
122
Let q(m) = -108*m**2 + 3 + m - 7 + 2. Let g be q(-1). Let i = 129 + g. Calculate the remainder when 67 is divided by i.
13
Suppose -y + 19 = 5*z, -y + 145 - 108 = -4*z. Calculate the remainder when 29 is divided by y.
0
Let l = -3907 + 3994. Calculate the remainder 