).
14
Let l = -31 - -46. Suppose 10*u - 13*u + 5*r + 27 = 0, 8 = -u - 4*r. Calculate the remainder when l is divided by u.
3
Let w = 4 + -6. Let o(t) = -2*t**3 + 2*t**2 + 3 - 2*t**2 - t + t**2. Calculate the remainder when 48 is divided by o(w).
23
Suppose 4*f - 32 = 5*k, -3*f - 2*k - k = -51. Suppose -803 = -8*q + 125. Let y = q + -81. What is the remainder when y is divided by f?
9
Suppose -565 - 866 = -9*w. Calculate the remainder when w is divided by 42.
33
Let w(d) = d**2 + 10*d + 1. Let f be w(-5). Let i = f + 30. Let r = i - -6. Calculate the remainder when r is divided by 5.
2
What is the remainder when -1 + 4 + (163 - (-6 + 5)) is divided by 17?
14
Suppose -4*t + 148 = 8*j - 3*j, 4*j - 3*t = 106. Calculate the remainder when 95 is divided by j.
11
Let a(m) = 13*m - 3. Let o(w) = 6*w**2 - 2*w - 3. Let r be o(-1). Let b(l) = -l**3 + 4*l**2 + 7*l - 4. What is the remainder when a(2) is divided by b(r)?
5
Suppose -8*v = -18*v + 60. What is the remainder when v is divided by (-1 - 2/(-4))*-4?
0
Let c(j) = -4*j**3 - 3*j**2 - j. Let d = 3 - -3. Let q be -4 - (0 - d/3). Calculate the remainder when 85 is divided by c(q).
19
Let n be -4 + (4 - 2) + 4. Suppose 3*a + 8 - 68 = -3*g, -n*a = 5*g - 112. What is the remainder when 95 is divided by g?
23
Let m be -2 + 5 + -7 + -4. Calculate the remainder when 3455/35 - m/28 is divided by 34.
31
Suppose 5*l = 10*l - 25. What is the remainder when 103 is divided by (l - 96)*6/(-21)?
25
Let d(h) = -h**3 + 6*h**2 + 8*h - 7. Let u be d(7). Suppose u = -f - 5*f + 54. Calculate the remainder when f is divided by 1.
0
Let d be (2/6)/((-20)/15)*-20. Suppose l - 4*l = d*x - 163, 257 = 5*l + x. What is the remainder when l is divided by 28?
23
Let p = 6137 + -6124. Let v(x) = x**2 - 3*x - 1. Let f be v(4). Suppose 12 + 96 = f*r. What is the remainder when r is divided by p?
10
Suppose -7 = 17*b - 18*b. What is the remainder when (-1)/(100/(-48) + 2) is divided by b?
5
Let k be (-5)/(-3)*(7 - 4). Suppose -5*o + 2*s + 2 = 0, s - 4 = 5*o - k. Let y = 12 + o. What is the remainder when 47 is divided by y?
11
Suppose 3*k + 2 = w, w - 4*k - 32 = -7*k. Calculate the remainder when -7*(-3 - -4)*-7 is divided by w.
15
Suppose -4*n + 6*n = 3*d - 409, 2*n + 143 = d. What is the remainder when d is divided by 32?
5
Suppose -249 - 1708 = -19*t. What is the remainder when t is divided by 35?
33
Let u(o) = -19*o - 19. Let a(d) = 0*d**3 + 1 + d**3 - 1 + 2 - d**2. What is the remainder when u(-4) is divided by a(3)?
17
Let s be 8 - (-4)/(12/(-9)). Suppose -s*a = -9*a. Suppose -z - 130 = 3*d - 4*d, a = 4*z. What is the remainder when d is divided by 19?
16
Suppose 4*o + 103 - 115 = 0. What is the remainder when 53 is divided by o?
2
Let a be 78*(-3)/((-36)/40). Let x = a - 175. Let b = 130 - x. What is the remainder when b is divided by 12?
9
Let d = 3 + 24. Let n = 40 - 12. Suppose 5*g + 20 = l, g + g - n = -2*l. What is the remainder when d is divided by l?
12
Let f(d) = 2*d**2 + 2*d + 78. Let c(g) = -2*g - g**2 + 13 + 1 - 92. Let j(w) = -3*c(w) - 2*f(w). What is the remainder when j(0) is divided by 16?
14
Let y(l) be the second derivative of l**3/3 + 15*l**2 - 2*l. What is the remainder when y(-8) is divided by 2?
0
Let c = 455 - 432. Calculate the remainder when 85 is divided by c.
16
Let y = -116 - -181. Suppose 76 = 4*l - 4*o, 7 + 24 = l + 3*o. Suppose 29 + l = 3*i. Calculate the remainder when y is divided by i.
14
Let s be 351/45 - 2/(-10). Suppose i - 414 = -s*i. Calculate the remainder when i is divided by 12.
10
Let c = 76 - 71. Suppose c*x - 103 = -2*d + 33, d = 3*x - 75. What is the remainder when 49 is divided by x?
23
Suppose -9*j + 12*j - s - 99 = 0, 5*s - 145 = -5*j. What is the remainder when 128 is divided by j?
0
Let m(k) = 5*k**2 + 2*k + 4. Calculate the remainder when (3 - (-6)/(-4))*66 is divided by m(-2).
19
Let u(g) = g**2 + 10*g - 10. Let c be u(-12). Let k = 16 - c. Suppose 0 = 3*o + f - 42, -13 - 68 = -5*o + k*f. What is the remainder when o is divided by 8?
7
Let d(r) = -r**2 + 8*r + 1. Suppose -6*p + 8 = 50. Let x(i) = -6*i - 13. Calculate the remainder when x(p) is divided by d(5).
13
Calculate the remainder when 240 is divided by 45/5 - (9 + -22).
20
Suppose 0 = r - 2*a - 321, 0 = r - 4*a - 175 - 142. What is the remainder when r is divided by 7?
3
Calculate the remainder when (45/10 - 4) + (-6856)/(-16) is divided by 62.
57
Let y(c) = 2*c**2 + 9*c + 5. What is the remainder when y(-7) is divided by 6?
4
Suppose 5*c - 160 - 15 = 0. Suppose -113 = -3*q - c. Calculate the remainder when q is divided by 7.
5
Let f(t) be the second derivative of 7*t**4/6 + t**3/2 + 5*t**2/2 - 7*t. Calculate the remainder when f(-2) is divided by 14.
13
Let w(i) = -15*i + 2. Let x be w(5). What is the remainder when 1*x*(-5 + 4)*1 is divided by 15?
13
Let w be (-9)/15 - (-26)/10. Let f be 2*86 + (w - 2). Calculate the remainder when 21 is divided by 4/(-14) + f/14.
9
Suppose -4*b + 2*k + 116 = 0, 4 = k + k. Suppose -3*w + b = -0*w. What is the remainder when w is divided by ((-8)/(-6) - 1)/(-17 - (-1025)/60)?
2
What is the remainder when -2 + (-12)/(-8) - 135/(-10) is divided by 5?
3
Let p(w) = 87*w - 46. Calculate the remainder when 195 is divided by p(1).
31
Let d(v) = -17*v - 15. Let h be d(-2). Let c = 11 + h. Calculate the remainder when 117 is divided by c.
27
Let f be 1230/24 - (-1)/(-4). Suppose 0 = 3*j - 0*j - f. What is the remainder when j is divided by 4?
1
Suppose -6*s + 20 = -s - 5*w, -5*w = -2*s + 11. Suppose s*t - 8 = 31. Let i = 22 - t. Calculate the remainder when 34 is divided by i.
7
Suppose -8*h + 5*m + 4490 = -3*h, 0 = -3*h - 4*m + 2701. Calculate the remainder when h is divided by 90.
89
Let b(r) = -5*r + 9. Let z(g) = 3*g - 5. Let h(v) = 3*v - 4. Let n(a) = 4*h(a) - 3*z(a). Let w be n(-2). What is the remainder when b(w) is divided by 15?
14
What is the remainder when (3 + -4)/(6/(-2496 + -6)) is divided by 35?
32
Let g = -89 - -91. Suppose -4*b = -3*t - 80, -3*b + g*b + 5*t = -3. Let p = 1 - -4. What is the remainder when b is divided by p?
3
Let l(u) = 2*u**2 + 4*u - 7. Let w be l(-6). Let f = 68 - w. Calculate the remainder when f is divided by 2/8*-1 + 114/8.
13
Suppose -4*w = -0*w - 520. Suppose -33*y - w = -43*y. What is the remainder when y is divided by 3?
1
Let v = 299 - 196. Let i = 151 - v. What is the remainder when 139 is divided by i?
43
Suppose 8 = -787*m + 791*m. Let l(j) be the third derivative of 13*j**4/12 - j**3/3 + j**2. Calculate the remainder when l(m) is divided by 13.
11
Let s be (-18)/6 - (-11 + 2). Suppose p + 15 = s*p. Suppose 8*n = p*n + 45. What is the remainder when 25 is divided by n?
7
Let j be (-2)/6 + 292/(-6). Let s = 77 + j. Let p = -17 + s. Calculate the remainder when 31 is divided by p.
9
Suppose 5*g + 0*g + 80 = -3*x, -4*x + 3*g = 68. Suppose -b + 12 = -5*r, -b + 26 = 2*b - 5*r. Let a = b - x. What is the remainder when a is divided by 7?
6
Suppose 24 = c - 4*j, -83*j + 78*j = 5*c - 70. What is the remainder when c is divided by 15?
1
Let v = -802 - -856. What is the remainder when v is divided by 14?
12
Let u = 41 + -4. Let y = 21 - 20. Let g = y + u. Calculate the remainder when g is divided by 10.
8
Let y = -17 + 23. Let k be 0/(-8) + y*1. Suppose 0 = -g + k*g - 15. What is the remainder when 9 is divided by g?
0
Suppose 269*l - 267*l - 430 = 0. What is the remainder when l is divided by 36?
35
Suppose -5*j + 2*m + 40 + 103 = 0, -2*j + 4*m + 70 = 0. Let z = j + -19. Suppose -28*k + 212 = -376. What is the remainder when k is divided by z?
5
Suppose -73 = -2*y - 41. What is the remainder when 233 is divided by y?
9
Calculate the remainder when (2/2)/(1360/(-688) + 2) is divided by 38.
5
Let c = 1209 - 1081. What is the remainder when c is divided by 33?
29
Suppose 11*u = 28*u - 153. Calculate the remainder when u is divided by 4.
1
Suppose c = 3*c + 3*o - 51, 4*o = -c + 13. What is the remainder when 76 is divided by c?
10
Let g(j) = -9*j - 245. Calculate the remainder when g(-58) is divided by 72.
61
Calculate the remainder when 34 is divided by (-54)/(-4) - 0 - (-5)/10.
6
Let o = 21 - 19. Calculate the remainder when o/3 + (-289)/(-3) is divided by 20.
17
Let r(c) = c**3 - 11*c**2 + c + 9. Let o be r(10). Let l = 153 - o. Suppose 3*n - 3*m = 79 +