is divided by (-23)/6 + 4 + 2285/6.
14
Suppose 0 = -4*a - 3*x + 22, -x + 10 = a + a. Let q(t) = 5*t + 60. Calculate the remainder when q(-7) is divided by a.
1
Let t be (4331/(-122))/((-2)/20). Let n = t + -263. Calculate the remainder when 367 is divided by n.
91
Calculate the remainder when 811 is divided by 159 + ((-195)/3)/(-13).
155
Let x be ((-2084)/(-1))/((-82)/(-41)). Let r = x - 988. What is the remainder when 168 is divided by r?
6
Suppose 2*n = 20 + 98. Let q = 84 - n. Let v = 17817 + -17745. What is the remainder when v is divided by q?
22
Suppose 3*w = -n - 2*w + 51, 2*w - 205 = -3*n. What is the remainder when n is divided by (1/(-4) + (-1025)/(-164))*5?
11
Let m be 16/(-120) - (-1 + (-579)/(-45)). Suppose 5*z = -k - k + 83, 5*k = -5. What is the remainder when m/(-10) - 2366/(-70) is divided by z?
1
Suppose 0 = 19*f + 5104 - 43142. Suppose -32*c - f = -45*c. What is the remainder when c is divided by 55?
44
Suppose 7*u + 5*f + 16 = 9*u, 0 = -u + f + 11. Calculate the remainder when 647 is divided by u.
10
Suppose 2*k - b - 39 = 0, -3*k + 5*b + 66 - 18 = 0. Suppose 7 - 42 = 5*r. Let m = 13 + r. Calculate the remainder when k is divided by m.
3
Let x(k) = 2*k**3 - 5*k**2 + 6*k - 6. Suppose 6 = m + 3. What is the remainder when 2*(-20)/8 - -130 is divided by x(m)?
20
What is the remainder when 550 is divided by (-1)/(8/(-646)) - 1715/980?
76
Suppose -4*j + 4035 = 3*o - 8*j, -o = 5*j - 1326. Calculate the remainder when o is divided by 112.
109
Suppose 0 = -4*u + 2*n + 724, -5*u = -3*n - 737 - 166. Suppose 0 = 2*w + 4*r - 86, -2*w + r + 88 = 4*r. Calculate the remainder when u is divided by w.
42
Suppose 7251 = -33*t - 2847. Let m be ((-8)/6)/((-2)/45). What is the remainder when (t/m)/((-2)/10) is divided by 14?
9
Let y(a) = 5*a - 57. What is the remainder when 7 + -3 + (-4)/6*-9 is divided by y(12)?
1
Let j(p) be the third derivative of 19*p**5/30 + p**4/8 + p**3 - 3*p**2 + 6. Calculate the remainder when j(-2) is divided by 14.
12
Let v be 1 + 5/(20/56). Let c(b) be the second derivative of -b**5/20 + 7*b**4/6 + 8*b**3/3 + 13*b**2/2 - 28*b. What is the remainder when c(v) is divided by 8?
4
Let v(h) = 16*h**3 - 4*h**2 + 4*h - 2. What is the remainder when v(3) is divided by (39 - 5) + (18 - (43 + -15))?
22
Suppose -110*m = -536*m - 15*m + 441. Calculate the remainder when 193 is divided by m.
0
Let p(u) = -u**2 + 30*u - 8. Let b be p(2). Let n = 1 - -3. Suppose -2*o + b = n*d, -d - d - 6 = 0. Calculate the remainder when o is divided by 8.
6
Suppose 3*b = s - 13 - 3, 5*s - 7*b = 120. Suppose -9 = -3*v + 33. Calculate the remainder when s is divided by v.
3
Let b(m) = -985*m - 2450. Calculate the remainder when b(-4) is divided by 11.
5
Let f be (1/1)/(6/(-30)). Let p = 24 + -2. Calculate the remainder when 42 is divided by f*(p/5)/(-1).
20
Suppose 0 = -64*l - 23*l + 4*l + 3403. What is the remainder when 2370 is divided by l?
33
Let t(h) = 53*h**3 - h + 2. Let j be t(1). Let z = j - 52. Suppose v - 2*p - 52 = -v, -5*v + 130 = z*p. Calculate the remainder when 103 is divided by v.
25
Suppose 18*h + 34*h - 2408 = 452. What is the remainder when h is divided by (-2)/(-7) + 276/14?
15
Suppose k - 41 = p, 3*k - p = k + 85. Let l = k + -34. Let m(g) = 68*g - 1. What is the remainder when m(1) is divided by l?
7
Let y(s) = s**3 + 13*s**2 - 14*s - 23. Calculate the remainder when 1487 is divided by y(-12).
42
Suppose -2*c + 43 - 5 = 0. What is the remainder when (-78)/325*10*(-3)/9*35 is divided by c?
9
Let g(u) = -u**3 - 7*u**2 - 4*u - 15. Suppose -19*h = -18*h + 2. Let z be h/9 + 50/(-18) - 4. What is the remainder when 62 is divided by g(z)?
10
Suppose 5*d + 4*n - n = -119, 5*d + 117 = -4*n. Let y be 980/d - (-1)/5. Calculate the remainder when 3/(-3)*y - -4 is divided by 15.
13
What is the remainder when 102 is divided by ((-75)/(-150))/((6 - 4)/(0 - -212))?
49
Let p(i) be the third derivative of -i**4/8 - 7*i**3/6 + i**2. What is the remainder when ((-12)/2)/(-2) + 11 is divided by p(-5)?
6
Let w(a) = a - 18. Let l be w(20). Suppose -3*m + m = -6, l*k - 89 = 5*m. What is the remainder when 414 is divided by k?
50
Let p(r) = -37 + 0*r + r - r + 3*r. Let u be p(11). Calculate the remainder when (3 + u)/((-3)/114) is divided by 13.
12
Let v = 9611 + -9578. Calculate the remainder when 37 is divided by v.
4
Suppose -6*k + 1374 = -12*k. Let y = k + 242. Calculate the remainder when 205 is divided by y.
10
Let q(t) be the third derivative of 7*t**4/6 - 19*t**3/3 + 67*t**2 + t. Calculate the remainder when q(5) is divided by (2/(-6))/((-2)/162).
21
Let c(i) = 3*i + 10. Let w be c(6). Let g = w - 22. Let j(t) = -t**3 + 9*t**2 - 6*t - 7. What is the remainder when j(g) is divided by 17?
14
Suppose -3*s + 5*b = -58, 4*s - 25 = 4*b + 47. Suppose 8*z = 10*z - 122. What is the remainder when z is divided by s?
13
Let n = 12 + -21. Let i(h) = -h**3 - 10*h**2 - 3*h + 21. Let b be i(n). Calculate the remainder when 42 is divided by (30/(-18) - -3)/((-2)/b).
20
Let a = 3919 - 3512. What is the remainder when a is divided by 102?
101
Let s = 32651 - 32363. Suppose 5*a + 5*g = 125, 2*a - 141 = -3*a - g. What is the remainder when s is divided by a?
27
Let n(b) = -6*b - 100. Calculate the remainder when n(-25) is divided by 50.
0
Suppose 0 = -3*x + 4*r - 156, 0 = 2*x + 2*r - 6*r + 108. Let i = x + 52. Calculate the remainder when 42 is divided by i.
2
What is the remainder when 2833 is divided by (-2 - 7) + ((-44)/2 - -109)?
25
Let j(i) = 97*i - 8386. What is the remainder when j(89) is divided by 125?
122
Suppose -420 = -28*t + 7*t. Suppose -t*n + 780 = -0*n. What is the remainder when n is divided by 7?
4
Let q = -6651 + 7217. Calculate the remainder when q is divided by 172.
50
Let j(h) = 8*h + 39. Let q be j(-4). Suppose 509 = q*w - 1143. What is the remainder when w is divided by 14?
12
Suppose -6*w = -104 - 268. Let l(o) = -2. Let a(x) = 8*x - 8. Let u(c) = -2*a(c) + 8*l(c). Calculate the remainder when w is divided by u(-2).
30
What is the remainder when 251 is divided by 8 + -16 - (2940/6)/(-14)?
8
What is the remainder when 172 - (-8)/(-3)*(-10 - -7) is divided by 17?
10
Suppose -173*w - 67*w + 107880 = 8*w. Calculate the remainder when w is divided by 94.
59
Let g(j) = j**3 + 9*j**2 - 13*j + 137. Let t = 39 - -1. Suppose -9*v + 14*v - t = 0. Calculate the remainder when g(-11) is divided by v.
6
Suppose 0 = 8*w + 21*w + 16820. Let m = 602 + w. What is the remainder when 128 is divided by m?
18
Let t(n) = -n**3 + 6*n**2 - 7*n - 1. Let r be t(3). Suppose 2*l + 5*d - r = 100, 57 = l - 2*d. Calculate the remainder when 163 is divided by l.
53
Suppose -i + 3*c = -2*i + 10, 56 = 3*i - 4*c. Suppose -96 = 8*h - 16. Let j(v) = -v**3 - 10*v**2 - 5*v - 3. What is the remainder when j(h) is divided by i?
15
Suppose 4*l - 4*g - 64 = 0, 15*g - 16*g = l - 10. Suppose b = -2*z + 56, -5*z - 18*b + 150 = -l*b. Calculate the remainder when 465 is divided by z.
23
Calculate the remainder when 389 is divided by (4/(-10) + 1)/((-33060)/3675 + 9).
95
Let n(x) = 2 + 14 + 2*x**2 + 11. Suppose -2*b - 7 + 59 = 0. Calculate the remainder when n(-5) is divided by b.
25
Suppose 18*b = 19*b + 4*v - 134, -3*v = 2*b - 298. Calculate the remainder when 266 is divided by b.
108
Let x be (8 - 2) + 88 + -9. Suppose -3*n = -4*s + 2*s - x, 140 = 5*n - 3*s. Calculate the remainder when n is divided by 13.
12
Let h = -11810 + 11856. What is the remainder when 1434 is divided by h?
8
Let k(a) = -4*a**2 + 2 - 10*a - 4 + 2*a**2 - 12*a**3 + 13*a**3. Let i be k(6). Suppose 27*y - i = 25*y. Calculate the remainder when y is divided by 22.
19
Let j = 2197 - 2084. Calculate the remainder when j is divided by 60.
53
Let j = 5005 + -4196. Calculate the remainder when j is divided by 18.
17
Suppose 2*y = -l + 528, 177*y - 172*y - 2*l - 1320 = 0. What is the remainder when (-176)/y - (-292)/6 is divided by 2?
0
Suppose 3*m - 148 = -w - w, 0 = -3*m + 2*w + 140. Suppose -4*b - 2*n = -126, 2*b - 26 - 28 = 2*n. Calculate the remainder when m is divided by b.
18
Let f = 21 + -21. Let w(p) = 3*p + 24. What is the remainder when 407 is divided by w(f)?
23
Suppose 0 = -g - 22 + 106. Calculate the remainder when g is divided by 63.
21
Suppose -o + 22 = -2. Let y = -333147 + 333241. What is the rema