 What is the remainder when 195 is divided by i?
45
Suppose 215 = 33*q - 8*q - 20*q. What is the remainder when 3729 is divided by q?
31
Let c(k) = 23*k**2 - 79*k + 69. What is the remainder when c(10) is divided by 44?
39
Suppose -70*o + 14800 + 51719 = 14649. What is the remainder when o is divided by 260?
221
Let y be (-20)/(-1) - 7/1. Suppose -21 = -w + y. Let f(s) = 26*s**2 + 3*s + 2. Calculate the remainder when f(-2) is divided by w.
32
Suppose 3*q + 15*o - 7 = 10*o, 5*q = -4*o + 3. Let i = 176 + -97. What is the remainder when i is divided by 651/24 + ((-54)/48 - q)?
25
Suppose -l + 9 = p, l - 35 = -2*l - 5*p. Suppose -2*k + 3*c = -2*c - 16, -4*k = -l*c - 22. Calculate the remainder when 12 is divided by ((-15)/18*k)/((-1)/2).
2
Suppose 15 = a + i, 5 + 19 = 2*a + 5*i. Suppose -4*b + 5*k + 278 = 0, 4*k + 42 = -5*b + 287. Calculate the remainder when b is divided by a.
6
Let i(m) = -8*m + 16. Let t be i(0). Calculate the remainder when 1/4 - (-5004)/t is divided by 35.
33
Let g(d) = 18*d**2 - 5*d + 4. Let q be g(5). Suppose -q + 125 = -4*s. Let j(m) = m**2 + 179*m + 2918. What is the remainder when s is divided by j(-18)?
16
Suppose 4*f - 106 = -2*k + 46, 5*k - 5*f - 365 = 0. What is the remainder when 1922 is divided by k?
72
What is the remainder when (-101)/((-1)/8*2) is divided by (18156/(-4806))/(10/(-135))?
47
Let p(v) = 12*v**2 - 2*v + 1. Let q(y) = 23*y**2 + 9 - 8 + 1 - 5*y. Let x(c) = -5*p(c) + 3*q(c). What is the remainder when x(-4) is divided by 14?
11
Let h(w) = -5*w**3 - w**2 + 7*w + 10. Let n be h(-2). Suppose n*q - 92 = 28*q. Calculate the remainder when 82 is divided by q.
13
What is the remainder when ((-330)/(-20) - 19)*-74 is divided by (1 - 1) + 1 + 95?
89
Suppose 0*h - 80*h = 7*h - 7221. What is the remainder when h is divided by 54?
29
Calculate the remainder when 1007 is divided by (36/(-15))/((-7)/420).
143
Suppose 0 = 4*d - 0 - 16. Suppose -48 = -8*g + d*g. What is the remainder when 46 is divided by g?
10
Calculate the remainder when 558 is divided by -2*((-46)/3 + (-100)/150).
14
Let g = -126 + 213. Let r = g - 101. Let s = 52 + r. Calculate the remainder when s is divided by 4.
2
Suppose 20*z = 368273 - 122133. What is the remainder when z is divided by 68?
67
Suppose -91 = 6*b - 13*b. Suppose -28*p + 369 = b*p. Calculate the remainder when p is divided by 16/5 - 1/5.
0
Let m(t) = -t**3 + 7*t**2 - 2*t - 5. Suppose 0*v = 11*v - 66. Let i(x) = -x + 13. What is the remainder when m(6) is divided by i(v)?
5
Let r(a) = 6*a - 3. Suppose 4 + 5 = -2*v + 5*h, v + 12 = 5*h. What is the remainder when (15/15 - -53) + 15/6 + 2/4 is divided by r(v)?
12
Suppose -4*k - 20 = -2*j, 21 = 3*j - 3*k - 12. Let s(w) = 22*w - 50. What is the remainder when s(8) is divided by j?
6
Let t(s) = -23*s**3 - s. Let c = 831 + -523. Let w = -165 + c. What is the remainder when w is divided by t(-1)?
23
Let s = -27 - -171. Let v = -79 + s. Let f(r) = 32*r + 1. Calculate the remainder when v is divided by f(1).
32
Let k = 540821 - 540096. Calculate the remainder when k is divided by 10 + 1 - (-1 + 1).
10
Let m(c) be the third derivative of c**6/120 + c**5/12 - 3*c**4/8 - 4*c**3/3 - c**2. What is the remainder when 116/(104/56 + 5/35) is divided by m(-6)?
8
Let m(d) = 20*d**2 + 146*d - 558. Calculate the remainder when 371 is divided by m(4).
25
What is the remainder when 2447 is divided by 9 - 164712/(-136) - 8/68?
7
Let f = -858 - -1898. What is the remainder when f is divided by 116?
112
Suppose t + v = 19 + 70, 5*v = -20. Calculate the remainder when 794 is divided by t.
50
Suppose -784 = 32*l - 48*l. What is the remainder when l is divided by 10?
9
Suppose 2666 = 98*t + 7*t - 3529. Calculate the remainder when 138 is divided by t.
20
Let o = -13 - -23. Let h(n) be the second derivative of -n**4/12 + 23*n**3/6 - 113*n**2/2 + 84*n. What is the remainder when h(13) is divided by o?
7
Let j = 4402 - 4240. What is the remainder when j is divided by 64?
34
Suppose -4*i - 2*b + 16 = 0, -646*i - b = -651*i + 41. Let c(o) = -o**3 + 9*o**2 - 3*o + 10. What is the remainder when c(8) is divided by i?
1
Let l(k) = 2*k**2 + 167*k - 866. What is the remainder when 502 is divided by l(5)?
8
Suppose -235*l = -27989 + 3549. Calculate the remainder when 208 is divided by l.
0
Let u = 53 + -31. Let o = -1182 + 612. Calculate the remainder when 517/(-77) - -7 - o/14 is divided by u.
19
What is the remainder when 162 is divided by (-1790)/(-26) + 112/728?
24
Let w(j) = 6*j**2 - 33*j + 37. Let v(n) = -5*n**2 + 32*n - 35. Let q(g) = -4*v(g) - 3*w(g). What is the remainder when (1 + 11)*7/3 is divided by q(14)?
13
Let j(f) = 411*f**3 - 20*f**2 + 22*f - 2. Suppose 0 = -n + 4*g + 21, -8*n - 4*g - 22 = -10*n. What is the remainder when j(n) is divided by 46?
43
Suppose -19711 - 6172 = -181*u. Calculate the remainder when u is divided by 138.
5
Suppose 0 = -130*a + 53*a + 532147. Calculate the remainder when a is divided by 31.
29
Let z(n) = -n**3 + 15*n**2 - 65*n + 1060. Calculate the remainder when z(14) is divided by 37.
13
Suppose i + i + 42 = -4*a, -2*a - 27 = -i. Suppose 646*u - 640*u + 24 = 0. Let c = u - a. What is the remainder when 19 is divided by c?
3
Suppose -34 - 92 = -18*u. Let y(q) be the second derivative of -q**4/12 + 19*q**3/6 - 17*q**2 + 3*q. Calculate the remainder when y(15) is divided by u.
5
Suppose 23*p - p - 2376 = 0. Calculate the remainder when 322 is divided by p.
106
Let i = 22 - 16. Let o(w) be the first derivative of w**4/4 + 5*w**3 - 35*w**2/2 - 8*w - 31. What is the remainder when o(-17) is divided by i?
3
Let l(c) = -2*c - 10. Let a be l(-5). Suppose -9*y - 4*y + 195 = a. What is the remainder when 24 is divided by y?
9
Let m(a) be the first derivative of -16*a**2 + 72*a + 337. Suppose 8 + 3 = o. What is the remainder when m(1) is divided by o?
7
Suppose 0 = 2*i + 16, -926*t + 931*t = 3*i + 84. Let g be 1/((-1)/2) - -2. Let f = g - -5. Calculate the remainder when t is divided by f.
2
Suppose -4*p + 5*f + 455 = 0, -3*p - 28 + 393 = f. Let o be 2877/(-35) - 2/(-10). Let l = o + p. Calculate the remainder when 150 is divided by l.
36
Let s be (-3 - (-4)/1)*2. Suppose -2*x = 3*h - 108, -44 = -x + 20*h - 19*h. What is the remainder when x is divided by 2*6 - (0 - s)?
6
Let o(y) = -y + 1. Let b be o(-2). Suppose b*k = 8*k + 3*a - 335, -4*a = -2*k + 134. Calculate the remainder when k is divided by 19.
10
Let p = -11775 + 11782. What is the remainder when 9475 is divided by p?
4
Suppose 12*a - 13*a + 80 = 4*a. What is the remainder when 1033 is divided by a?
9
Let i(h) = h**2 + 7*h + 17. Let x be i(-4). Suppose 5*v = -5*a + 1100, 4*a - x*v - 1042 + 117 = 0. Calculate the remainder when a is divided by 77.
71
Let c be 7178/3 - 42/(-126). Suppose -20*j - 593 + c = 0. What is the remainder when 351 is divided by j?
81
Let k be (-6)/1 + (6 + 0)/(-2). Let v be k - 4/(2*-2) - -2. Calculate the remainder when (-3)/(4/(-80)*v/(-5)) is divided by 18.
14
Suppose -50*l + 144 = -38*l. Let m = -15 - -25. Suppose l*w - m*w - 194 = 0. Calculate the remainder when w is divided by 33.
31
Let d(l) = -l**3 + l**2 + 19. Let q(n) = -13*n + 60. Let u be q(14). Let g = -117 - u. What is the remainder when d(0) is divided by g?
4
Let s(v) = v**3 + 9*v**2 + v + 9. Suppose -3*o + 21 = 2*f, -f = -8*o + 3*o - 43. Suppose -f*z + 77 = -11*z. Calculate the remainder when s(-8) is divided by z.
10
Let z = 37 + -23. Suppose 0 = -4*g - 2*y - 2, -5*g - y = -2*g. Calculate the remainder when 27 + -4*((-6)/(-4) - g) is divided by z.
11
Let r(k) = 14*k**2 - 3*k + 1. Let h be r(2). Let l = -142 - -121. Let z = l + h. What is the remainder when z is divided by 17?
13
Let n be (-426)/(-18) + (-12)/(-9). Let s be 2/(-5) - (-1635)/n. Let c = s + -46. Calculate the remainder when 31 is divided by c.
12
Let s(r) be the third derivative of r**5/60 + r**4/3 - 25*r**3/6 - 9*r**2. Let j be s(-10). What is the remainder when 36 is divided by ((-11)/2 - j)*2*-13?
10
Let m(f) = f**3 + 5*f**2 - 7*f - 5. Let d be ((-2)/4)/(7/84). Let o be m(d). Let w(t) = 95*t**2 + 2*t - 1. Calculate the remainder when w(o) is divided by 33.
30
Suppose -1 - 1 = -o. Suppose -o*v + 80 = -48. Let c = 1813 + -1796. Calculate the remainder when v is divided by c.
13
Suppose -2*w + 326 = -4*t, -3*w = -t - 56