 2.
1
Suppose 4*u + o - 43 = 0, -u - 2*o - 3*o = -25. Let z be 2/1 + 1 + -3. Let y(h) = h**2 - h + 18. Calculate the remainder when y(z) is divided by u.
8
Suppose 568 = 2*w + 2*w. What is the remainder when w is divided by 36?
34
Suppose -26 = 4*f + 18. Let s = -526 + 528. Let r = s - f. What is the remainder when r is divided by 5?
3
Let b = 33 - 54. What is the remainder when 14 is divided by b/(-35) + (-12)/(-5)?
2
Suppose 31 = -3*v - 8. Let p(r) = -13*r + 5. Let z be p(5). Let f = v - z. Calculate the remainder when f is divided by 16.
15
Suppose -3*j = -20 - 595. Suppose 25 = -5*q, 0*q + j = 2*g - 3*q. Calculate the remainder when g is divided by 32.
31
Suppose 7*g + 4*j - 23 = 2*g, -2*j + 19 = 5*g. Let l(h) = 19*h**3 - 4*h**2 - 1. Let s be l(g). Calculate the remainder when (-4 + s/(-8))*-2 is divided by 32.
31
Suppose -48 = 22*j - 30*j. What is the remainder when 75 is divided by j?
3
What is the remainder when 259/28*4*1 is divided by (-32)/192 + (-345)/(-18)?
18
Suppose -7 - 73 = -o. Suppose -4*k = -o - 80. Let i = k - 24. What is the remainder when 46 is divided by i?
14
Let m(u) = -12*u + 4. Let o be m(2). Let b = 39 - o. What is the remainder when b is divided by 10?
9
Let u(r) = -r**2 + 20*r - 79. Suppose 4*k = -0*k + 136. What is the remainder when k is divided by u(7)?
10
Suppose -z - 2*w = 25, 0 = -z + 3*z - w + 70. Let x = 70 + z. Calculate the remainder when x is divided by 10.
7
Suppose 0 = -5*z - l + 47, -5*l + 31 - 6 = 4*z. Calculate the remainder when 49 is divided by z.
9
Suppose 12*u - 35*u + 506 = 0. What is the remainder when 40 is divided by u?
18
Suppose 32 = 3*k - m, -2*m = -2*k - 7*m + 44. Let q = 0 + k. What is the remainder when 57 is divided by q?
9
Let q(a) = a**3 + 14*a**2 + 12*a - 11. Let b be q(-13). Let r(g) = 8*g + 6. Calculate the remainder when 84 is divided by r(b).
18
Let m(n) = -n**3 - 13*n**2 - 13*n - 10. Let h be m(-12). What is the remainder when 70 - ((0 - h) + 2) is divided by 18?
16
Suppose -3*p + 4*f + 73 = 0, 2*f + 60 = 4*p + 6*f. Let x(q) = 37*q**2 - q - 1. Calculate the remainder when x(-1) is divided by p.
18
What is the remainder when 41 is divided by (-2470)/(-91) - 11 - (-2)/(-14)?
9
Suppose 5*q + 15 = -3*h + 64, -4*h + 100 = -2*q. Let m = -114 - -57. Let v = -14 - m. Calculate the remainder when v is divided by h.
20
Suppose 2*n - 3*n = 3*w + 21, -3*n = -w + 73. Let c = n + 36. Suppose -96 = -0*h - 3*h. Calculate the remainder when h is divided by c.
8
Let q = 38 - 0. Let l(b) = -95*b - 108. Let r be l(-6). Suppose 24*f - r = 2*f. What is the remainder when q is divided by f?
17
Suppose 4*v - 375 = -67. Let x(a) = 11*a**2 + a - 2. Let r(l) = -5*l**2 + 1. Let k(g) = -9*r(g) - 4*x(g). What is the remainder when v is divided by k(7)?
17
Let w = 33 - 19. Let m be (0/(-1))/(w/(-7)). What is the remainder when 37 is divided by 3 - m - 56/(-8)?
7
Let o = -77 - -89. Calculate the remainder when 178 is divided by o.
10
Suppose 7*m = 11*m + 8. Calculate the remainder when 18 is divided by (m/(-3))/((-12)/(-54)).
0
Suppose -2*c - 24 = -96. Suppose -3*q = -2*a + c, -3*a + 37 = 3*q + q. Let d = 24 - a. Calculate the remainder when 33 is divided by d.
6
Suppose -20*r - 159*r = 63*r - 12584. Let t = -1 - -2. Calculate the remainder when r is divided by t/1 + 1 + 16.
16
Let a be (2/(-6))/(4/(-3732)). Suppose 5*f = -2*l + l + 57, -a = -5*l + f. Let u(d) = 3*d**2 - 11*d - 4. Calculate the remainder when l is divided by u(5).
14
Suppose 8*d = 2997 - 517. Calculate the remainder when d is divided by 39.
37
Let c(u) = -7 + u - 8 + 17. What is the remainder when (-1 + 3)/2 + 76 is divided by c(18)?
17
Let i = 49 + 399. Suppose 3*j - i = -61. What is the remainder when j is divided by 22?
19
Let h(g) be the second derivative of -4*g**3/3 - 21*g**2/2 - 40*g. What is the remainder when h(-6) is divided by 11?
5
Let g(d) = d**3 - 3*d**2 + 4*d. Let c be g(3). Suppose -4*k + c = -3*k. Calculate the remainder when 53 is divided by (-312)/(-22) - k/66.
11
Let c = 0 + -2. Let d = 5 + c. Suppose d*y - 24 = -3*w - 0*w, -3*w - 4*y = -28. What is the remainder when 11 is divided by w?
3
Let m = -335 + 351. What is the remainder when 25 is divided by m?
9
Let a be 524/4 - 12/3. Suppose -5*c - 3*t + a = -100, -5*c + 3*t + 203 = 0. Suppose -c = -11*y + 10*y. Calculate the remainder when y is divided by 23.
20
Let d = -15 + 18. What is the remainder when d/(-7) - (-2556)/84 is divided by 11?
8
Let h = -52 + 337. Suppose h = 96*c - 91*c. Calculate the remainder when 168 is divided by c.
54
Let f(x) = 4*x**3 + 4*x**2 - x - 3. Let a = 806 - 508. Calculate the remainder when a is divided by f(2).
40
Let c(q) = -q**2 - 7*q - 7. Let y(f) = 4*f**2 + 20*f + 21. Let a(j) = -7*c(j) - 2*y(j). Calculate the remainder when a(9) is divided by 3.
1
Suppose -3*u = -49 + 1. Let l = 3 + u. Calculate the remainder when l is divided by -1 - 1 - (1 + -13).
9
Suppose 9*v = 16*v - 126. What is the remainder when v is divided by 11?
7
Let s = 41 + -10. Suppose -3*p + 50 = -2*n, 0 = -2*p - 5*n + s + 34. Calculate the remainder when p is divided by 9.
2
Suppose -s + u = -83, -4*u + u - 166 = -2*s. Let g(x) = x**2 - 17*x + 78. Calculate the remainder when s is divided by g(6).
11
Suppose m - 4*m + 51 = 0. Let l(x) = -x**3 + 8*x**2 + 3*x + 9. Suppose 6*o - o = 40. What is the remainder when l(o) is divided by m?
16
Suppose -55 = 13*k - 18*k. What is the remainder when ((-56)/6)/(1/(-3)) is divided by k?
6
Let x(z) = -z**3 + 2*z**2 + 2*z - 2. Let m be 3 - (-3)/2*2. Let p = 10 - m. Calculate the remainder when x(-2) is divided by p.
2
Suppose 56 = -r + 2. What is the remainder when 62 is divided by 4/18 - (-1)/(r/(-852))?
14
Suppose 4*b - 30 = b. Let l = -76 - -73. Calculate the remainder when b is divided by 9/2*(5 - (-11)/l).
4
Let a be 3 - 4*5/20. Suppose -a*u = -9 - 11. Calculate the remainder when 19 is divided by u.
9
Let w(f) = 57*f**3 + f**2 + 2*f - 6. What is the remainder when w(2) is divided by 46?
44
Let f = -206 - -227. What is the remainder when 49 is divided by f?
7
Let y(c) = -58*c - 5. Calculate the remainder when y(-5) is divided by 10 + (-128)/13 - 334/(-52)*2.
12
Let b = -35 - -37. Calculate the remainder when 62 is divided by 4 + 12 + b + -2.
14
Suppose 35*o - 4*t + 28 = 37*o, 0 = -3*o + 2*t + 26. What is the remainder when 38 is divided by o?
8
Let f be -56 - (4 - (3 - 0)). Let o = -36 - f. Calculate the remainder when 38 is divided by o.
17
Let x be (1/(-2))/(3*(-9)/(-270)). Let t be 3 + -2 + (2 - 0). What is the remainder when 0 + t - (x + -4) is divided by 7?
5
Let h be (-6 + 15)/(1 + 0). What is the remainder when 640/15 - (-3)/h is divided by 15?
13
Let p be -2*(10/4 - 1). Suppose -2*z + 5*t - 23 = 0, -z - 4*t = -15 - 6. What is the remainder when 1/p*(-11 - 1) is divided by z?
0
Let z = -38 + -5. Suppose 2*p + 2*b - 76 = 5*p, 0 = -4*p + 4*b - 100. Let d = p - z. Calculate the remainder when 66 is divided by d.
15
Suppose 7*v - 2*v + 1 = -2*t, 0 = -2*v - 2*t - 4. Suppose b - 85 = 6*b. Let z = -14 - b. What is the remainder when z is divided by v?
0
Suppose -3*u + 6*u - 7 = -x, 6 = u + 4*x. Suppose 0 = v - u*v + 49. What is the remainder when v is divided by -20*(-3 + 14/8)?
24
Let y(n) = n**2 - 23*n - 22. Let t be y(16). Calculate the remainder when 9/(-6)*t/3 is divided by 35.
32
Suppose 0 = -2*n - 3*n + 460. Suppose n = v + 3*v. Suppose 3*b = -b - k + 33, -19 = -2*b - 3*k. What is the remainder when v is divided by b?
7
Suppose -4*f + 50 = -n, 5*f - 6*f + n = -11. What is the remainder when f is divided by 3?
1
Let m be 25 + -2 + -1 + (1 - -1). Let o = m - 12. Calculate the remainder when 23 is divided by o.
11
Let j = 212 + -144. What is the remainder when 132 is divided by j?
64
Suppose 5*j - 25 = -0*j. Suppose 2*h - j*m + 5 = 0, 2 = -2*h + 4*m - 2. What is the remainder when 37 is divided by h/1 + 76/4?
18
Let n be -1 + (-2)/(-1) + 12 + 11. Suppose 4*y - 4*p = 28, -2*p - n + 6 = -3*y. Calculate the remainder when 26 is divided by y.
2
Let o(v) = 18*v + 87*v + 2 - 1. Calculate the remainder when o(1) is divided by 27.
25
Calculate the remainder when 45 is divided by 35 + 9 + (-12 - -6).
7
Let m(c) = -c**3 - c**2 + c. Let r be m(-2). Let z(s) = 21*s. Suppose -57*i + 161 = -466. What is the remainder when z(r) is divid