r when 21 is divided by d/10*(-150)/(-60).
1
Let b(n) be the first derivative of -n**2/2 + 3*n + 4. Let z be b(-1). Suppose z*t - 35 = -f + 2*t, -34 = -f - t. What is the remainder when f is divided by 19?
14
Suppose -4*r = -5*v - 14, -r + 5*v - 5 + 1 = 0. Let z(f) = -f**3 + 7*f**2 - 3*f - 10. What is the remainder when 28 is divided by z(r)?
4
Let o(p) = -8*p**3 + p**2 - 10*p + 14. Let q be o(3). Let x = q + 312. Calculate the remainder when x is divided by 7.
5
Let k be ((-6)/(-24))/((-1)/(-20)). Let l be k/10 - (-58)/(-4). Calculate the remainder when 30 is divided by -3 - (0 - -1)*l.
8
Suppose -6*c + 5*h = -c - 25, c - 4*h - 2 = 0. Let a = 26 - 16. What is the remainder when a is divided by c?
4
Let s = 531 + -493. Calculate the remainder when s is divided by (-2)/(-6) + 46/6.
6
Suppose -10*i = 3*i - 286. Suppose 0 = 4*o - 24. What is the remainder when i is divided by o?
4
Suppose 63*k - 4*s - 40 = 62*k, -5*k + 284 = s. What is the remainder when 168 is divided by k?
0
Let d = 75 - 95. Calculate the remainder when 33 is divided by 5 + -5 + -4 + 1 - d.
16
Calculate the remainder when (2/4)/(62/4712) is divided by 8.
6
Suppose 2 = -0*b - b. What is the remainder when -10 + 12 - 36/b is divided by 3?
2
Let b = 24 - 9. Let k be (-40)/(-6) + 10/(-15). Suppose 16 = -k*i + 64. What is the remainder when b is divided by i?
7
Suppose 0 = -b - b + 532. Let h = b - 189. What is the remainder when h is divided by 20?
17
Let c be 68 + 0 + 2 - -2. Suppose -3*z - 2*z - 2*i + 69 = 0, 4*z - c = 4*i. Let d(s) = -3*s + 12. What is the remainder when d(-10) is divided by z?
12
Suppose 15 = 5*x - 4*x. Suppose -g = -0*g - 101. Let z = 159 - g. What is the remainder when z is divided by x?
13
Suppose 11*h - 476 = 7*h. Suppose -7*x + 77 = -h. Calculate the remainder when x is divided by 16.
12
Let z = 223 - 114. What is the remainder when z is divided by 19?
14
Suppose 5*a - 438 = -53. Let h(j) = 2*j + 6. What is the remainder when a is divided by h(5)?
13
Let x be 37 - (-10)/15*-6. Suppose 2*u + x = k, 5*k + u - 95 = -3*u. Calculate the remainder when 66 is divided by k.
20
Let j = -7 + 23. What is the remainder when 38 + -8 + j/4 is divided by 7?
6
Suppose -28*p + 23*p = 4*w - 412, -w - 4*p = -114. Calculate the remainder when 489 is divided by w.
97
Let q(k) = k**2 + 4*k - 1. Let o(d) = -d**2 - 10*d - 5. Calculate the remainder when q(-8) is divided by o(-8).
9
Suppose -2*n - 3084 = -3118. Let k(g) = -g - 2. What is the remainder when n is divided by k(-4)?
1
Let n(z) be the third derivative of z**5/12 - 6*z**2. Let h be n(-1). What is the remainder when 37 is divided by 102/h + 2/(-5)?
17
Calculate the remainder when (-2)/3 + 190/6 is divided by 8 + (20 - 10) + -10.
7
Suppose 26*n = 32*n - 96. Calculate the remainder when 28 is divided by n.
12
Let i(r) = r. Let v be i(7). Suppose 3*y + 3 = -9. Let f = v - y. What is the remainder when 42 is divided by f?
9
Let u(i) = -8*i - 37. Let w be u(-5). Calculate the remainder when 8/(-2) + (w - (-4 - 170)) is divided by 35.
33
Suppose -h + 27 = -0*h. What is the remainder when 6 + ((-705)/(-7) - 132/(-462)) is divided by h?
26
Suppose -4*u + 29 = -u - o, -3*o + 21 = 3*u. Suppose 4*g = 5*j - j + 80, 5*j - 71 = -4*g. Suppose 0 = -i - 2 + g. What is the remainder when i is divided by u?
8
Let c(a) = 8 + 13*a + 9*a + 22*a + 7*a. What is the remainder when c(4) is divided by 43?
40
Suppose 3*d - 4*r - 264 = 0, -2*d = -5*d + 5*r + 261. Let o = 5 - -7. Calculate the remainder when d is divided by o.
8
Suppose -3*v + 0*v = 51. Let r = v + 36. Let p = 178 + -125. What is the remainder when p is divided by r?
15
Let q(p) = -4*p**3 + 4*p**2 - p - 1. Let d(y) = -13*y - 28. Calculate the remainder when q(-3) is divided by d(-5).
35
Suppose -7*b = -0*b + 5*u - 112, 5*b - 80 = 5*u. Let z = 114 - -7. Let r = z - 42. Calculate the remainder when r is divided by b.
15
What is the remainder when ((-20)/16*-1)/((-1)/(-68)) is divided by 29?
27
Let t = 0 + 2. Suppose 0 = -t*o + 3*q + 7, 5*q - q = o + 9. What is the remainder when 32 is divided by o?
10
Let m = -319 + 340. Calculate the remainder when 0*1/(-2) - -83 is divided by m.
20
Let h = -11 + 33. Let l = -274 + 316. What is the remainder when l is divided by h?
20
Suppose -11*g = v - 9*g - 34, 4*g = -v + 34. Calculate the remainder when 576 is divided by v.
32
Suppose 2*u + 232 = 4*u. Suppose 58 = 3*b - u. What is the remainder when b is divided by 20?
18
Let i(v) = 11*v**2 - 6*v - 10. What is the remainder when i(3) is divided by 20?
11
Let n = -331 + 500. What is the remainder when 350 is divided by n?
12
Let x = -4 - -15. Suppose -5*m - 221 - 224 = 0. Let c = m - -108. Calculate the remainder when c is divided by x.
8
Let n(i) = -2*i + 1. Let b be n(9). Let u = -81 + 137. Let j = u - b. What is the remainder when j is divided by 19?
16
Suppose 2*y + 4*j - 92 = -j, 5*y = -2*j + 188. Suppose 21*w + 50 = 26*w. Calculate the remainder when y is divided by w.
6
Let m = -39 + 64. Let a(p) = -8*p**3 + 3*p**2 - p - 2. Let b be a(-1). Let f = b - -63. What is the remainder when f is divided by m?
23
Let z(l) = -l**2 + 7*l + 3. Let s be z(7). Suppose s*a - 2*a - 28 = 0. Calculate the remainder when a is divided by 17.
11
Let v = -2625 - -2876. Calculate the remainder when v is divided by 83.
2
Suppose -k - 3*w = -137, -5*w - 5 = -k + 124. What is the remainder when k is divided by 42?
8
Suppose -l + 3*w = -4*l + 9, 3*l + 5*w = 5. Calculate the remainder when (-112)/(-4) - 84/12 is divided by l/1*(-12)/(-5).
9
Suppose 5*m = -5*v + 383 + 72, 5*v = 5*m - 465. What is the remainder when m is divided by 24?
20
Let i be 2/(-3)*(-12)/2. Suppose g - i*g + 55 = s, -2*s + 20 = g. Let r = -312 - -319. Calculate the remainder when g is divided by r.
4
Let t = -811 + 828. Let o = 3 + -2. Suppose 2*r - 9 = o. What is the remainder when t is divided by r?
2
Suppose 10*i - 19*i = -468. What is the remainder when i is divided by 7?
3
Suppose 405*f = 415*f - 2190. What is the remainder when f is divided by 20?
19
Let u(k) = -k**3 - 5*k**2 + 10*k - 1. Let o be u(-8). Let g = o - 76. Calculate the remainder when g is divided by 19.
16
Calculate the remainder when (-30)/(-100) + (-134)/(-20) is divided by 7.
0
Let z be (-66)/(-4) + 3/(-12)*2. Let w be (-2)/(-10) + (-132)/(-15). Let j = z - w. What is the remainder when 12 is divided by j?
5
Calculate the remainder when (-2)/(-48) + (-5026)/(-336) is divided by ((-6)/5)/((-6)/45).
6
Let h = 375 - 369. Calculate the remainder when 27 is divided by h.
3
Let u = -148 + 221. Calculate the remainder when u is divided by 39.
34
Suppose -45 = 5*v - 4*p, 0 = 5*v + 3*p + 2*p. Let q = v - -151. What is the remainder when q is divided by 50?
46
Suppose 0 = 27*j - 32*j + 100. Let m = 90 + -54. What is the remainder when m is divided by j?
16
Let y(v) be the third derivative of 9*v**4/4 + v**3/3 + 2*v**2. Let c be y(-1). What is the remainder when 49 is divided by (-12)/(-8)*c/(-6)?
10
Let v be ((-5)/(5/2))/((-2)/(-35)). Let l = v - -69. Calculate the remainder when l is divided by 11.
1
Let s = -13 - -83. Suppose 1 = t, z + 3*t = 2*z - 97. Let y = 118 - z. What is the remainder when s is divided by y?
16
Let h = 72 - -72. Calculate the remainder when 116 is divided by (2/6)/(2/h).
20
Calculate the remainder when (152/(-10))/2*(-6 - -1) is divided by 17.
4
Suppose 3*q = 2*r - 23, -4*r = -3*q + q - 26. Suppose 0 = 4*o - 3*c - 451, 0 = -5*o + r*c + 334 + 229. What is the remainder when o is divided by 29?
28
Suppose -868 = -5*m - 3*n, 2*n + 184 = -4*m + 5*m. What is the remainder when m is divided by 30?
26
Suppose -b + 4*r = -51, 3*r = -54 + 60. Calculate the remainder when 187 is divided by b.
10
What is the remainder when ((7104/56)/(-6))/(4/(-14)) is divided by 13?
9
Suppose 20*y - 100 = 120. What is the remainder when 16 is divided by y?
5
Suppose -4*t - 340 = -4*r, -4*t = -2*r - 5*t + 179. Calculate the remainder when r is divided by 32.
24
Suppose -8*f + 5*f + 174 = 0. What is the remainder when f is divided by 16?
10
Let s(h) = -3*h. What is the remainder when 432/21 + (-63)/147*-1 is divided by s(-6)?
3
Suppose -22 = -18*r + 50. Let l(v) = v - 3. Let c(s) = -4*s + 1. Let z be c(-1). Calculate the remainder when r is divided by l(z).
0
Let w = 109 - -175. What 