).
15
Let n(k) = 2*k + 19. Let v be n(-7). Suppose 0 = -2*j + 6*j - 2*x - 20, 3*j - v*x = 22. What is the remainder when 18 is divided by j?
2
Let j(g) = -2*g**3 + 78*g**2 - 75*g + 1. Calculate the remainder when 101 is divided by j(38).
23
Let g(f) be the second derivative of 0 + f**3 - f**2 + 1/4*f**4 + 11*f. What is the remainder when 63 is divided by g(-4)?
19
Suppose 998 = 37*q - 2036. What is the remainder when q is divided by 21?
19
Let q be (-68)/12 - (-1)/(-3). Let m(r) be the first derivative of -r**3/3 - 4*r**2 - r + 26. What is the remainder when 20 is divided by m(q)?
9
Let o = 1468 - 1410. What is the remainder when 59 is divided by o?
1
Suppose -5*o + 112 = 47. Let q(x) be the first derivative of -x**3/3 + 13*x**2/2 - 6*x - 3. What is the remainder when q(6) is divided by o?
10
Let d(y) = -1 - y**2 - 7 - y**3 + 19 + y. Calculate the remainder when d(-5) is divided by 36.
34
Let g(p) = -2 - 4*p + 3*p + p**2 + 0*p**2. What is the remainder when g(-2) is divided by (2/(-3))/(1/3) - -4?
0
Suppose 10*p + 1092 = 16*p. Suppose -299 = -5*r - 69. What is the remainder when p is divided by r?
44
Let v be -3*(-6)/(-9) - -5. Suppose v*d - 228 = -4*x + 107, -5*x - d = -416. Calculate the remainder when x is divided by 28.
27
Suppose 0 = 2*f - 3*c - 8, 26 = -4*f - c + 70. Calculate the remainder when 76 is divided by f.
6
Let z be (-4)/4*0/(-3). Suppose z = a + c + 39, 4*c - 3*c - 33 = a. Calculate the remainder when 29 is divided by a/(-5) - (-36)/45.
5
Let u be 6/10 - (-3652)/55. Let s = u - 42. Calculate the remainder when 172 is divided by s.
22
Suppose 0 = 3*z - 4*i - 100, 5*i = -z + 4*i + 38. What is the remainder when 163 is divided by z?
19
Let k = -6 + 12. Let z(x) = -x**3 + 7*x**2 + 3*x - 10. What is the remainder when z(k) is divided by 16?
12
Let g(i) = 96*i**3 + i**2 + i - 1. Suppose 18*r - 78 = -6. Suppose 3*b = -r*s + 60, 3*b + 7*s - 60 = 8*s. What is the remainder when g(1) is divided by b?
17
What is the remainder when 270 is divided by (-85)/34*78/(-5)?
36
Suppose 0 = 3*s + 4*c - 25, -s + 1 + 2 = 4*c. Suppose 5*i + 15 = 385. What is the remainder when i is divided by s?
8
Let r(d) = d**3 - 14*d**2 + 6*d - 48. Calculate the remainder when 178 is divided by r(14).
34
Suppose 11 = -4*i - 37. Let w be i*(-3 - (-3)/(-2)). Suppose 3*p - p - w = 0. What is the remainder when p is divided by 7?
6
Let l = 1 - -2. Suppose 5*k - 2*k = l*q - 15, -k - 13 = -3*q. What is the remainder when 13 is divided by -2*(k + -5 - -2)?
5
Suppose -13*v + 16 = -11*v - 2*l, 3*v - 5*l - 32 = 0. Let u = -21 + 47. Calculate the remainder when u is divided by v.
2
Let g be (6 + -3)/(-3)*3/(-1). Suppose 2*k = -4*q + 108, g*k + 5*q - 290 = -2*k. Calculate the remainder when 185 is divided by k.
61
Let n = -13 + 26. Let m(l) = l**3 + 5*l**2 + 1. Let w be m(-5). What is the remainder when -36*((-4)/w - -3) is divided by n?
10
Suppose -4*h + 80 + 32 = 0. Calculate the remainder when h is divided by 15.
13
Let s(m) = m**3 + 14*m**2 - 5*m - 58. Calculate the remainder when 1*1/1 + 33 is divided by s(-14).
10
Let i(q) = q**3 - 9*q**2 + 8*q + 5. Suppose 4*l + 40 = -20. Let k be 126/15 + 6/l. Calculate the remainder when 12 is divided by i(k).
2
Suppose 30 = 12*f - 7*f. Suppose f = -5*m + 46. Suppose m*o + 293 = 4*r + 3*o, r - 4*o - 76 = 0. Calculate the remainder when r is divided by 19.
15
Let j(c) = -3*c + 200. Calculate the remainder when j(21) is divided by 7.
4
Let v(y) = -68 - 4*y - 85 + 124. What is the remainder when 29 is divided by v(-9)?
1
Suppose 0 = -5*i + 193 + 17. Suppose 5*o - 2*o = 4*z + i, 3*o - 45 = 5*z. Calculate the remainder when 10 is divided by o.
0
Suppose 3*s + 4*t = 52, 5*t + 11 = 4*s - 17. Calculate the remainder when -1 + 0 + 34 + -1 is divided by s.
8
What is the remainder when 31 is divided by (-1)/(11/(-196)) - 112/(-616)?
13
Suppose 0*o - 24 = -3*f + 3*o, -2*f = -4*o - 20. Calculate the remainder when 47 is divided by (2 + f)*(2 - 0).
15
What is the remainder when 58 is divided by 0/1 + -5 + 8?
1
What is the remainder when 4/(-48)*-759 + 5/(-20) is divided by 56?
7
Let i = 1329 + -1290. What is the remainder when 73 is divided by i?
34
Let t = 1152 - 1142. Suppose 2*c + 2 = -6*g + 3*g, 3*c = 4*g + 14. Calculate the remainder when 19*-4*c/(-4) is divided by t.
8
Let p = 8 + -20. Let w(j) = -j**2 + 14*j + 9. Let u(b) = 4*b**2 - 42*b - 26. Let n(v) = -2*u(v) - 7*w(v). Calculate the remainder when n(p) is divided by 4.
1
Calculate the remainder when 38 is divided by (22 + -21)/((-2)/(-72)).
2
Let l be 5/((3 - 0) + -2). Suppose l*f - 196 = -41. Calculate the remainder when f is divided by 4.
3
Suppose 5*q + 4*u = 112, -41 = 3*q + 4*u - 105. What is the remainder when 406 is divided by q?
22
Suppose 2*d + 125*s - 34 = 121*s, -5*d + 25 = -2*s. Calculate the remainder when 13 is divided by d.
6
Let s(m) = -2*m**3 + 20*m**2 + 21*m + 13. Let x be s(11). What is the remainder when 1/(4/(-19))*-4 is divided by -1 + (1 - -2) + x?
3
Suppose 4 = l - u - 66, -137 = -2*l + 5*u. What is the remainder when 294 is divided by l?
10
Let u(o) = 4 - 3*o**2 + 2*o**2 - 15*o - 2*o**2 + 2*o**2. What is the remainder when u(-15) is divided by 2?
0
Let s(k) = -k - 7. Let t(q) = -5*q - 7. Let r be t(-4). Let w be (6/4)/(r/(-78)). Calculate the remainder when 11 is divided by s(w).
1
Let u(h) be the second derivative of 3*h**3 - h**2/2 + h. Calculate the remainder when u(3) is divided by (2/6)/(3/99).
9
Let j be -3 - (16/(-1) + -1). Suppose -n = -2*n - j. Let u = 4 - n. Calculate the remainder when u is divided by 7.
4
Let k = 620 - 319. What is the remainder when k is divided by 62?
53
Let n(g) = g**2 + 5*g + 5. Let i be n(-6). Suppose 0 = 9*b - i*b. Suppose b = -a - 3 + 11. What is the remainder when 15 is divided by a?
7
Let k = 61 + -26. Let b(s) = -s**3 + 35*s**2 - 26*s - 135. What is the remainder when b(34) is divided by k?
32
Let d(l) = -12*l + 2. Let u be d(-3). Suppose -1 = -7*f + 8*f, -2*f = 2*c - u. Calculate the remainder when 99 is divided by c.
19
Let v be (2/(-5))/((-6)/30). Let t = v - -9. Let a = t - -22. What is the remainder when a is divided by 7?
5
Suppose 337 = 3*q - 2*k, -q - 3*k = 2*k - 101. Calculate the remainder when q is divided by 28.
27
Suppose -110 = -4*x + 2*x. Let n = 43 + -28. What is the remainder when x is divided by n?
10
Let g be (1 - 1)*(0 - 1). Suppose -3*r + 114 = -4*l + l, 43 = r - 2*l. Let t = r - g. Calculate the remainder when t is divided by 12.
9
Suppose 4*w + 19*j = 22*j + 147, -2*j = -6. Calculate the remainder when 424 is divided by w.
34
Suppose -3*o + 154 = 5*v, -2*v - 5*o + 13 = -41. Let t be 698/18 - (-2)/9. Let q = -28 + t. What is the remainder when v is divided by q?
10
Suppose -4*a + 4*z - 57 = -13, 0 = z - 5. Calculate the remainder when 36 is divided by (-1)/a - 154/(-12).
10
Let n(h) = h**3 + 19*h**2 + 12*h + 2. Let d(v) = -v**3 + 6*v**2 + 2*v + 17. Let b be d(7). Calculate the remainder when n(b) is divided by 37.
36
Suppose -10*w + 28 + 2 = 0. Suppose 0*l = 3*n - l - 238, -w*n = 3*l - 234. Calculate the remainder when n is divided by 14.
9
Let b(u) = u**3 + 7*u**2 - 11*u - 4. Let t be b(-8). Calculate the remainder when ((-2)/((-32)/t))/(3/48) is divided by 11.
9
Calculate the remainder when (-31*3/2)/((-97)/582) is divided by 47.
44
Let q(t) be the first derivative of -t**4/4 - 19*t**3/3 - 3*t**2/2 + 20*t - 1. Calculate the remainder when q(-19) is divided by 20.
17
Let h(q) = q**3 + 13*q**2 - 4*q + 17. Calculate the remainder when 482 is divided by h(-13).
68
Suppose -11*t + 161 = -466. Calculate the remainder when t is divided by 21.
15
Suppose 0 = -3*o + 95 + 910. Calculate the remainder when o is divided by 7.
6
Let b = 683 - 595. What is the remainder when b is divided by 30?
28
Suppose 939 + 5997 = 12*a. What is the remainder when a is divided by 27?
11
Suppose -4*d = -2*p - 720, 5*p - 227 = -3*d + 300. Let t = -102 + d. What is the remainder when t is divided by 39?
38
Let k = -188 + 127. Let p = 79 + k. Let c = -6 + 75. What is the remainder when c is divided by p?
15
Suppose 0 = 4*n + 8, a - 5*n = 2*a - 16. Suppose -23 - 25 = 3*p. Calculate the remainder when 98 + (-4 - p)/4 is divided by a.
23
Let n(v) = -42*v - 1. Let h = -1 - 0. Let t(i) = i**3 + 23*i**2 + 49*i + 616. What is the rema