. Suppose 0*p - 3*p + 68 = 2*t, 0 = -3*t - 3*p + 105. Let u = t + h. What is the remainder when u is divided by 8?
5
Suppose -11*s = -15*s. Suppose 7*n - 4*n - 105 = s. Calculate the remainder when 68 is divided by n.
33
Let y(l) = -l**2 + 4*l. Let u be y(4). Suppose -15*p + 12*p - 81 = u. Calculate the remainder when 105 is divided by (p/1)/(-3 - -2).
24
Let m(r) = -43*r + 3. Let x be m(2). Let k = x - -113. Calculate the remainder when 54 is divided by k.
24
Let v(j) = j + 6. Let k be v(-6). Suppose 3*m = -k*m. Suppose m*p = 2*w - p - 89, -5*w + 5*p = -215. Calculate the remainder when w is divided by 12.
10
Let o(s) be the first derivative of 1/4*s**4 + 7*s - 5 - 1/2*s**2 + 7/3*s**3. What is the remainder when o(-5) is divided by 21?
20
Let q = -5 - -7. Let x be (q/4)/(3/36). Suppose -9*f = -x*f - 48. Calculate the remainder when 47 is divided by f.
15
Suppose 9*x - 56 = 232. What is the remainder when 50 is divided by x?
18
Suppose 4*j + 79 = 5*j + 4*m, m - 391 = -4*j. Calculate the remainder when j is divided by 17.
14
Suppose p + 4*p = 3*a - 37, 2*a + 4*p - 54 = 0. Suppose 77 + 67 = 4*w. Let z = w + -29. What is the remainder when a is divided by z?
5
Let n(w) = 8*w**2 + 25*w + 14. What is the remainder when 73 is divided by n(-3)?
7
Let o(i) = 2*i - 7. Let m be o(5). Let d(g) = -3*g**2 - 6 - g + 20*g**3 + 23*g**m - 40*g**3. What is the remainder when d(3) is divided by 23?
22
Let b(s) = -42*s**3 + s**2 - s - 1. Let j be ((-3)/1)/(18/(-672)) - -3. Suppose -4*q = q - j. What is the remainder when b(-1) is divided by q?
20
Let o(d) = 1. Let k(p) = -p - 21. Let h(a) = -k(a) + 4*o(a). Calculate the remainder when h(-8) is divided by 5.
2
Let v = -303 + 566. What is the remainder when v is divided by 38?
35
Let a(t) be the first derivative of -t**3/3 + 25*t**2/2 - 48*t - 18. Let j = -38 + 109. What is the remainder when j is divided by a(22)?
17
Suppose 2*u + 16 = -4*z, -4*u + u - 16 = 4*z. Suppose k + 2*b + 2 = u, b - 4 + 10 = 2*k. Calculate the remainder when 29 is divided by k/8 - 86/(-8).
7
Let u = 596 - 432. Calculate the remainder when u is divided by 21.
17
Let w = -407 + 423. Let p = -42 + 70. What is the remainder when p is divided by w?
12
Let a = -9 + 14. Suppose 2*i + 28 = w - i, 96 = 4*w + 4*i. What is the remainder when w is divided by (36/20)/(1/a)?
7
Let c(p) = -p**3 - 5*p**2 - 6*p - 3. Let m be c(-4). Suppose d + 58 = m*u, 10*u + 5*d = 5*u + 40. Calculate the remainder when 32 is divided by u.
10
Let n = -112 - -165. What is the remainder when n is divided by ((-252)/15)/(-3)*(-20)/(-8)?
11
Suppose l + 2*w = 2*l + 28, 0 = 5*l + w + 162. Let u be (-15)/(-5) + (l - -2). Let n = u - -52. Calculate the remainder when n is divided by 7.
4
Suppose 0*s + s + 252 = 3*j, -s + 336 = 4*j. What is the remainder when j is divided by 22?
18
Suppose 2*o + l + l - 12 = 0, 0 = 2*o + l - 8. Let u be 4/34 + (-87)/17. Let t = 1 - u. What is the remainder when t is divided by o?
0
Calculate the remainder when (-1394)/(-6) + (-160)/(-24) + -7 is divided by 50.
32
Suppose 5*l + 4*l - 36 = 0. What is the remainder when 33 is divided by 7 + (4 + 0 - l)?
5
Let t = 71 - -143. Let v = t + 216. Suppose -5*u + 0*u + v = 0. Calculate the remainder when u is divided by 29.
28
Let g(k) = -k**2 + 15*k + 2. Let n(p) = -14*p - 2. Let h(l) = -2*g(l) - 3*n(l). Let t be h(-8). Let c = -21 + t. What is the remainder when c is divided by 5?
3
Let d = -29 - -44. Suppose -2*x = f - 6*x - 36, 4*x - 20 = 0. Calculate the remainder when f is divided by d.
11
Let k(h) = 4*h - 36. Let r = -69 - -81. Calculate the remainder when 35 is divided by k(r).
11
Suppose 4*w = w + p + 24, -5*p = 5*w - 40. What is the remainder when 15 is divided by w + (-4)/(-16)*0?
7
Let n(w) = -w - 94. Let z be n(0). Let p = z + 174. Suppose -98 = -2*b + 3*a, 5*b + 5*a - 140 - p = 0. Calculate the remainder when b is divided by 16.
14
Suppose 28*m - 37*m = -99. What is the remainder when m is divided by 2?
1
Let v(y) = -y**3 - y - 1. Let p be v(-2). Let k = p - 6. What is the remainder when 22 is divided by 1*((8 - k) + 3)?
6
Let b(j) be the second derivative of -j**5/20 - 5*j**4/12 - 3*j**3/2 - 6*j**2 - 50*j. What is the remainder when b(-5) is divided by 21?
12
Suppose 0 = 24*u + 54*u - 3978. Calculate the remainder when 70 is divided by u.
19
Let p(r) = -2*r + 2. Let a be p(0). Suppose 208 = a*x + 2*x. Suppose x + 13 = 5*u. Calculate the remainder when 25 is divided by u.
12
Suppose 0 = 3*s - 2*a - 1, -4*a = -0*a + 20. Calculate the remainder when 48 is divided by ((-124)/44 - s) + 568/22.
22
Suppose 155*n + 3563 = 162*n. Calculate the remainder when n is divided by 64.
61
Suppose -5*a + 353 = -437. What is the remainder when a is divided by 55?
48
Suppose 32936 - 31729 = 71*u. Let g = 4 - 13. Calculate the remainder when (g/(-2))/(3/44) is divided by u.
15
Suppose 3 = -2*w - 3, 0 = 3*z + 2*w - 51. What is the remainder when 24 is divided by z?
5
Let b = 6 - -1. Suppose -5*u - 4*o = -159, 0 = -5*u + 2*o - b*o + 155. Let k = 0 + 12. Calculate the remainder when u is divided by k.
11
Let g = 163 - 134. Let p(a) = 21*a**2 + 2. What is the remainder when p(2) is divided by g?
28
Let b = -73 - -73. Calculate the remainder when (8/24)/((-1)/(-39) - b) is divided by 7.
6
Suppose -21*h = -4269 - 3942. Calculate the remainder when h is divided by 48.
7
Suppose 0 = -0*g - g + 2*h + 7, 0 = -4*h - 4. Suppose -70 = -w + j, g*w + j + 164 = 502. Suppose 26 = -l + w. What is the remainder when l is divided by 11?
9
Suppose 0 = -6*k + k + 135. Suppose -14 = -b + 90. What is the remainder when b is divided by k?
23
Suppose -4*r = 2*k - 34, k - r - 129 = -4*k. Suppose -2*a - 75 = -5*z + 281, -278 = -4*z + 5*a. Calculate the remainder when z is divided by k.
22
Suppose 4*o - 35*o = -13516. Calculate the remainder when o is divided by 13.
7
Suppose 5*d = 4*b + 1183, -b = -6*b - 2*d - 1520. Let u = -183 - b. Let f = u - 76. Calculate the remainder when f is divided by 11.
10
Let q = 17 - -8. What is the remainder when 70 is divided by q?
20
Let u = 246 - 104. What is the remainder when u is divided by 24?
22
Suppose 2*r + 3*r - 115 = 0. Let s = r - 9. Suppose 0 = 3*l + 46 - 121. Calculate the remainder when l is divided by s.
11
Suppose -7*h - 47 + 208 = 0. Suppose 27*f = h*f + 12. Let r = 4 + -1. Calculate the remainder when r is divided by f.
0
Let q(v) = -4*v**2 + 3*v**2 + 5*v**2 - 5*v**2 - 8*v - 4. Let l(f) = f**2 + 4*f - 13. Calculate the remainder when l(6) is divided by q(-4).
11
Let p = -1702 - -1763. Calculate the remainder when 169 is divided by p.
47
Calculate the remainder when -3*9/72 + 1415/40 is divided by 8.
3
Let m = 93 - 53. Let w = -5972 + 5995. Calculate the remainder when m is divided by w.
17
Suppose 0 = -5*a - 5*v + 90, 0 = -0*a - a + 4*v + 3. What is the remainder when 73 is divided by a?
13
Let s(i) = -i**3 + 4*i**2 - i - 5. Let o be s(3). Suppose -92 = -7*w - o. What is the remainder when 35 is divided by w?
9
Suppose -5*t + 2*t = -45. Let y be 0/(0 + 6 + -4). Suppose y = -3*n + 7*n - 172. Calculate the remainder when n is divided by t.
13
Let x(m) = 2*m**3 - 2*m**2 - 6*m + 1. Suppose -3*h + 9 = 0, 3*h = 4*i - 2*i + 21. Let a be (3/i)/((-1)/8). What is the remainder when x(a) is divided by 25?
23
Let q be ((-76)/16)/(6/24). Let v = -7 - q. Calculate the remainder when 34 is divided by v.
10
Let w be -51 - ((5 - 5) + -3). What is the remainder when 89 is divided by 216/w*(-3 + 1)?
8
Let b = 15 - -15. Suppose -j + 4*j = b. What is the remainder when j is divided by 7?
3
Calculate the remainder when (254/(-14) - (-17 + 14))*-7 is divided by 33.
7
Let h = 2 - -1. Let v(y) = -4*y + 1. Calculate the remainder when 1*(h - (-184)/4) is divided by v(-3).
10
Let h = 523 + -496. Calculate the remainder when 85 is divided by h.
4
Suppose -5*a - 90 = -4*k - 3*a, 0 = -2*k + 5*a + 57. Calculate the remainder when 103 is divided by k.
19
Let i = -14 + 17. Let p(y) = y**2 - 5*y - 18. What is the remainder when p(8) is divided by i?
0
Let g = -612 - -909. Let h be (1/(-3))/((-1)/g). Calculate the remainder when 74 is divided by 18/h + (-414)/(-22).
17
Suppose 6*b + 284 - 398 = 0. What is the remainder when 69 is divided by b?
12
Suppose -6*u - 13 = -1. Let m = u - -1. Calculate the remainder when (-114)