= -48*r + 122*r. Calculate the remainder when 93 is divided by r.
8
Let l(p) be the first derivative of p**4/4 - 7*p**3/3 + 6*p**2 - 9*p - 2. Calculate the remainder when l(7) is divided by 11.
9
Let o = 563 + -473. What is the remainder when o is divided by 16?
10
Suppose -4*d = -4*x, 4*d + x = 2*d + 9. Suppose 2*k + 20 = d*k. Suppose -3*h - 20 = h, 5*f - k = 2*h. What is the remainder when 4 is divided by f?
0
Suppose 5*i + 5*g = 75 + 190, 5*g - 121 = -2*i. Let f(w) = w**3 - 28*w**2 + 27*w + 10. What is the remainder when i is divided by f(27)?
8
Let a(r) = -18*r**3 - 1. Let p be a(1). Let c(k) = k**2 + 15*k - 22. What is the remainder when c(p) is divided by 24?
6
Let g(o) = 39*o - 129. What is the remainder when 350 is divided by g(4)?
26
Suppose -4*n = 0, 3*t = -t + 5*n + 20. Suppose 0*v = w + t*v - 17, -4*w + 47 = -v. What is the remainder when 46 is divided by w?
10
Suppose -3*h + 33 = 2*t, 3*t - h = -4*h + 51. Let v = 88 + -81. What is the remainder when t is divided by v?
4
What is the remainder when 73 is divided by 11 + -13 - (-21 + -2)?
10
Suppose -2*d - 3*r = 2, 2*d = -3*r - r. Let a = 91 - 53. What is the remainder when a is divided by 0 - (160/4)/d?
8
Suppose 0 = -5*j + 110 + 100. What is the remainder when 57 is divided by j?
15
Let b(n) = -n**3 - 6*n**2 - 8*n + 7. Let v be b(-6). Suppose -3*h + 74 = 2*y - v, -3 = -3*h. What is the remainder when y is divided by 22?
19
Let c(l) = -l**2 + 16*l - 46. Suppose -z = 4*p - 0*p - 37, 5*z - 242 = -p. What is the remainder when z is divided by c(9)?
15
Let r(p) = -17*p - 292. What is the remainder when 254 is divided by r(-21)?
59
Suppose -j + q = -31, j - 4*j = -4*q - 96. Suppose -25*i - 93 = -j*i. Calculate the remainder when 57 is divided by i.
26
Let l = -1234 - -1240. Suppose 0*s + 4*s - 160 = 0. What is the remainder when s is divided by l?
4
Let c be ((-18)/(-15))/(3*(-2)/(-20)). Suppose -5*m + 314 = -0*j - c*j, -m = 3*j - 78. What is the remainder when m is divided by 17?
15
Suppose 117 = 2*w - 21. Calculate the remainder when w is divided by 20.
9
Let u(h) = -20*h - 33. Let q be u(-5). Suppose -2*c - z = -c - 22, 3*c + 2*z - q = 0. Calculate the remainder when 137 is divided by c.
22
Suppose -4*a - f + 226 = 0, 3*a - a + 3*f = 118. What is the remainder when 219 is divided by a?
51
Let v = 1011 - 792. Calculate the remainder when v is divided by 76.
67
Suppose -12*w = -291 - 45. What is the remainder when 220 is divided by w?
24
Let g(d) = -3*d - 15. Let o be g(-5). Suppose o*w - w = x - 30, 5*w = 2*x - 39. Calculate the remainder when x is divided by 4.
3
Suppose -5*c - 4*w = -47 + 13, 0 = -4*c + 4*w + 20. Suppose -c*x = -8*x + 188. What is the remainder when x is divided by 19?
18
Suppose 0 = 5*b + 5*r - 45, 0 = 2*b - r - 2*r - 3. Let a(j) = 26*j - 40. Calculate the remainder when a(b) is divided by 17.
14
Let v = 681 - 603. What is the remainder when v is divided by 9?
6
Suppose 2*u = 4*u. Suppose 4*w + 75 = 5*i - 0*w, 2*w = 0. What is the remainder when (29 - u) + (2 - 3) is divided by i?
13
Suppose 294 = 4*k + 3*k. What is the remainder when 81 is divided by 40/(-28)*k/(-2)?
21
Let w = -17 - -23. Suppose -5*v = -14 - w. What is the remainder when 35 is divided by v?
3
Let d = -7 + 56. Calculate the remainder when d is divided by (-18)/18 - 100/(-5).
11
Let v = -174 - -249. What is the remainder when v is divided by 39?
36
Suppose 0*o + 48 = 3*o. Suppose 4*y = -3*k + 4 + o, -2*y = 4*k. What is the remainder when y is divided by 7?
1
Let z(j) be the first derivative of -j**3 - 3*j**2/2 + j + 6. Let g be z(-3). Let p = 23 + g. What is the remainder when 27 is divided by p?
3
Suppose 265*i - 40 = 263*i. Suppose 20*k = 300 - i. Let u(v) = v**3 - v**2 + 3*v - 3. Calculate the remainder when u(3) is divided by k.
10
Suppose -m - 3*h = -2*m + 32, 4*h - 70 = -3*m. Suppose -23 = -7*q + m. What is the remainder when q is divided by 3?
1
Let h(b) = -6*b + 1. Let s(k) = -k**3 - 2*k**2 + 2*k + 1. Let j be s(-4). Let x = j - -29. What is the remainder when x is divided by h(-3)?
16
Let g(j) = -2*j**3 + 8*j**2 + 4*j + 8. Let w be g(9). Calculate the remainder when w/(-22) + (1 - (-45)/(-55)) is divided by 18.
17
What is the remainder when 52 is divided by (1/(3/(-33)))/(39/(-39))?
8
Let c(x) = x**3 + 3*x**2 - 5*x - 1. Suppose -38 = -14*t + 4. Calculate the remainder when c(-4) is divided by t.
0
Suppose 0 = 8*h - 34*h + 5382. What is the remainder when h is divided by 30?
27
Calculate the remainder when 44 is divided by ((-6)/(-15))/((36/1845)/2).
3
Suppose -4*m + 108 = 4*n, 0 = -3*n - 2*m - 0*m + 81. Suppose -2*r - 504 = -5*r. Suppose -5*i + 367 = -r. Calculate the remainder when i is divided by n.
26
Let a = -30 + 69. Suppose 3*y - 8*q + 4*q = 42, 3*y - 5*q = a. Calculate the remainder when 20 is divided by y.
2
What is the remainder when (-8)/(-100) + (-6773)/(-25) is divided by 13?
11
Let x(b) = -b**2 - b + 19. Suppose 2*j + 3*j - 180 = 0. Calculate the remainder when j is divided by x(0).
17
Suppose -4*m = -4*g - 44, 2*g - 1 = -2*m - 7. Let q = 2 - -9. Let z = g + q. What is the remainder when 10 is divided by z?
2
Let t = 178 + -169. Let w(m) = 3*m**3 - 7*m**2 + 6*m - 6. Calculate the remainder when w(4) is divided by t.
8
Let c = -123 + 160. Suppose 0 = v - c - 16. What is the remainder when v is divided by 6?
5
Suppose 5*w + 1 - 86 = 4*t, 4*w - 4*t - 64 = 0. Calculate the remainder when 144 is divided by w.
18
Let p(s) = 15 - 6*s - 18*s + s - 2*s. Let k be p(-8). What is the remainder when 26 is divided by 2/(-12) + k/30?
5
Suppose 0 = -2*g + 8*g. Suppose -v - v + 116 = g. Calculate the remainder when v is divided by 12.
10
Suppose -2*n + 0*w + 66 = -3*w, 3*n = 2*w + 99. Calculate the remainder when 357 is divided by n.
27
Suppose -8 = 3*m - 416. Let r = -95 + m. Calculate the remainder when r is divided by ((-800)/480)/((-15)/189).
20
Let a(s) = -10*s + 3. Let g(c) = -c - 1. Let o(l) = a(l) + 2*g(l). Suppose -t = -26 - 10. What is the remainder when t is divided by o(-1)?
10
Suppose -14*n - 81 = -5*n. What is the remainder when (-1)/2*-2*33 is divided by (n/(-12))/((-3)/(-36))?
6
Suppose 129*g = 149*g - 1200. What is the remainder when g is divided by 18?
6
Calculate the remainder when 201 is divided by 80/(-360) - 344/(-9).
11
Suppose 19*s = 14*s - 195. Let g = s + 84. What is the remainder when g is divided by 8?
5
Let k = 47 - 28. Let t(a) = -4*a - 11. Let n be t(-4). Suppose 50 = n*b - v, b = -b + 5*v - 3. What is the remainder when k is divided by b?
8
Suppose w + 3*d - 2 + 1 = 0, 3*w - 4*d - 29 = 0. Suppose -3*b - 84 = -w*b. Calculate the remainder when 54 is divided by b.
12
Let j = 72 + -31. Calculate the remainder when 150 is divided by j.
27
What is the remainder when 31 is divided by (2/(-3))/(404/102 + -4)?
14
Let k = -9 + 22. Let w be k + 0 + 2 + 1. Suppose -w - 20 = -4*n. Calculate the remainder when 42 is divided by n.
6
Let c(g) = 65*g**2 + 6*g + 3. Calculate the remainder when c(-1) is divided by 18.
8
Suppose 0 = -5*r + 2*t + 238, -3*r - 3*t - 104 = -5*r. Suppose -r = 46*b - 48*b. Calculate the remainder when b is divided by 6.
5
Let s be 38/4 - (-11)/22. Let r(t) = 4*t**2 - s*t + 3*t**3 + 3*t - 2*t**3 + t**2. What is the remainder when 23 is divided by r(-6)?
5
Let y(v) = v + 6. Calculate the remainder when 91 is divided by y(13).
15
Suppose 109*k - 180 = 94*k. Suppose 5*n + d = 2*d + 332, -4*d - 256 = -4*n. Calculate the remainder when n is divided by k.
7
Suppose 0 = 3*d + 3*m - 27, 3*d - 37 = -0*m - m. Let l(a) = -a - 2. Let s be l(-2). Suppose s = -3*v - 15 + 90. What is the remainder when v is divided by d?
11
Suppose -42 = -14*j - 7*j. Calculate the remainder when 2 is divided by j.
0
Let b(k) be the first derivative of -k**4/4 + 3*k**3 + k**2 - 5*k + 2. Let l be b(8). Suppose -l = -t - 4*t. Calculate the remainder when t is divided by 4.
3
Let x = -83 - -97. Let y(r) = r**3 - 13*r**2 - 8*r + 9. What is the remainder when y(x) is divided by 12?
9
Suppose -43 - 49 = -4*i. What is the remainder when i is divided by (1 - 3/5) + (-28)/(-5)?
5
Let k = -8 - -20. Let n be 12/(-28) - 54/21. Let z = n + k. What is the remainder when 16 is divided by z?
7
Suppose y - 5*p - 2 - 14 = 0, 5*y = 5*p. Let a be (-657)/(-36) + 1/y. Suppose -j = 12 - a. What is the rem