 Let v(t) = 2*g(t) - 5*l(t). Calculate the remainder when v(15) is divided by 29.
1
Let w = -946 + 1270. Let z = -44 + w. Calculate the remainder when z is divided by 12.
4
Let p = 2135 - 2106. Suppose 2*l = -5*c + 78, 5*c = -4*l + 3*l + 34. Suppose 4*i + 0*i = l. What is the remainder when p is divided by i?
7
Let x = 3986 - 3973. Calculate the remainder when 7849 is divided by x.
10
Let r = -21 - -39. Let j(q) = -q**3 + 18*q**2 + 12*q - 23. Let v = 86 + -47. Calculate the remainder when j(r) is divided by v.
37
Suppose -7*k = 42, 790 = 6*i - 2*i - k. What is the remainder when 1959 is divided by i?
195
Suppose 5*y - 101 = 9. Let i(f) = 107*f**2 - 38*f + 50. Calculate the remainder when i(1) is divided by y.
9
Suppose 4*v - 1090 - 40 = -3*u, 2*v - 576 = 4*u. What is the remainder when v is divided by (149 + -146)/((2/8)/((-66)/(-36)))?
20
Let y be (2/(-8))/(10/120). Let m(f) = f - 9. What is the remainder when (y*(2 + -25))/3 is divided by m(13)?
3
Suppose -2*a + 191 = -317. What is the remainder when a is divided by (-3)/7 + (-908)/168*-6?
30
Let r be 1/((23/(-62))/23). Let m(s) = s - 12. Let a be m(0). Let v = a - r. What is the remainder when v is divided by 14?
8
Suppose -2*l - 26 = 4*s - 0*l, -s + 3*l + 11 = 0. What is the remainder when (-43 + 35)*60/(-8) is divided by (8/(-2))/(s/22)?
16
Calculate the remainder when -8 + (-25)/((-225)/22149) is divided by 611.
9
Suppose -3*o - 18 = -5*o. Let q(l) = l**2 - 7*l + 8. What is the remainder when q(o) is divided by 3*-3*140/(-90)?
12
Suppose 11*r = 833 + 185 + 38. What is the remainder when 5945 is divided by r?
89
Suppose c - j = 136, 2*j - 694 = -20*c + 15*c. Calculate the remainder when 823 is divided by c.
133
Let f(y) = 14*y**2 - 2*y - 3. Let g(i) = 435*i + 9600. What is the remainder when f(-2) is divided by g(-22)?
27
Suppose 0 = -k - 5*l + 89, k - 5*l - 2 = 57. Suppose -3*z + 18 = -0*z + 3*q, 4*q - 20 = -3*z. Calculate the remainder when k is divided by (35 + (7 - z))/2.
17
Let x = -271 - -355. Calculate the remainder when ((-294)/x)/(2/(-24)) is divided by 5.
2
Calculate the remainder when 3592 is divided by 38 - ((-192)/(-92) - -5 - 12/138).
27
Calculate the remainder when ((-87955)/5145 - 4/(-42))/((-1)/10) is divided by 109.
61
Suppose 5*p = -3 + 13. Suppose p*a - 176 = -3*y - 2*a, -y - a = -58. Suppose -21 = w - y. Calculate the remainder when 172 is divided by w.
32
Suppose 28*d - 1362 = 2922. What is the remainder when d is divided by 10?
3
Let p(s) = -7*s + 4. Let t be p(-3). Suppose 0 = 164*i - 166*i - 42. Let o = t + i. Calculate the remainder when o is divided by 3.
1
Suppose -g + 2*b = -19, 870*g - 28 = 870*g + 4*b. Let c(s) be the third derivative of 3*s**4/8 + s**2. What is the remainder when c(1) is divided by g?
4
What is the remainder when (-12)/((-5 - -1) + 6)*-7 is divided by 22*((-36)/8)/(-9)?
9
What is the remainder when (-143)/(195/(-13) + 14) is divided by 55?
33
Suppose 0*g = -3*h + 3*g + 168, 2*g + 167 = 3*h. Let z = -16294 + 16473. Calculate the remainder when z is divided by h.
14
Let j = -6 + 9. Suppose 620 = j*b + 2*z, 0*b + z - 206 = -b. Suppose -2*l + 4 = -b. Calculate the remainder when l is divided by 36.
34
Let l(s) = -54*s + 18. Let h be l(-9). Suppose -h = 30*q - 32*q. What is the remainder when 103 is divided by (-3)/9*q/(-4)?
19
Let y = 13778 + -13733. What is the remainder when 213 is divided by y?
33
Let m(f) = 335*f**2 + 150*f + 1. What is the remainder when m(-2) is divided by 4?
1
Suppose t - 2*r = 12, -4*t + 17 + 3 = -r. Suppose 0 = t*y - 8 - 28. Calculate the remainder when 15288/(-273)*(-4)/7 is divided by y.
5
Suppose -16058 = -224*j - 10*j - 25*j. Let r = -96 + 590. What is the remainder when r is divided by j?
60
Let m(a) = a**2 - 22*a + 15. Let x be m(21). Let g be (-2)/x - (-1364)/3. Suppose 4*r + r = g. What is the remainder when r is divided by 19?
15
Suppose -7*v = -71 - 41. Suppose -4*o + 6*n - 2*n = -v, 5*n + 30 = -5*o. Calculate the remainder when 2*o - (-92)/1 is divided by 23.
21
Let h be 7 + ((-15)/(-6))/((-2)/(-4)). Suppose h = a + 2*f, 0 = -27*f + 23*f - 8. Suppose 3*l - 4*l + 6 = 0. Calculate the remainder when a is divided by l.
4
Suppose -49*t = -68*t + 893. Suppose t - 89 = -6*m. Calculate the remainder when (-4)/6 - (-124)/6 is divided by m.
6
Suppose -2*b + 861 = v, -125 = 2*b + 4*v - 995. Let l = 523 - b. Calculate the remainder when 467 is divided by l.
91
Let g = 10142 + -10113. What is the remainder when 2752 is divided by g?
26
Let u(h) = h**2 - 34*h - 19. Let q be u(35). Calculate the remainder when (-216)/(-42)*(q - 9) is divided by (0 - 1)*1*-13.
10
Suppose -12*h + k + 10 = -16*h, 2*k = 8*h - 4. Let r(o) = o**2 + 7*o + 5. Let a be r(-4). Calculate the remainder when (-32 - h)*(a + 6) is divided by 7.
3
Let s(h) = h**3 + 8*h**2 + 6*h - 11. Let d(r) = -50*r - 2. Let u(w) = -2*w**2 + 7*w + 10. Let c be u(5). What is the remainder when d(c) is divided by s(-6)?
23
Let l be 35 + 1/(-4 - -5). Suppose -26 = 5*u - l. Suppose -u*o + 4*x = -122, 49 = o + 3*x - x. What is the remainder when o is divided by 14?
13
Suppose -456 = 4*d - 3088. What is the remainder when d is divided by 110?
108
Suppose -k - 810 - 1339 = -2*g, -3*g - 3*k + 3219 = 0. What is the remainder when g is divided by 1053?
21
Let a(y) = y - 21. Let k be a(-26). Let t = k - -79. Suppose 0*q - t = -q. Calculate the remainder when q is divided by 12.
8
Let v(c) be the third derivative of -c**5/60 + 11*c**4/24 + 5*c**3/6 + 91*c**2. What is the remainder when 80 is divided by v(8)?
22
Suppose 14*s - 6*s = 432. Suppose 13*i - 15*i + 2*f = -s, -63 = -2*i + 5*f. Calculate the remainder when 47 is divided by i.
23
Let l(z) = 4*z**2 + 45*z + 234. Let w = 1 + 2. Suppose -g = -p - 2*g + 18, w*g = p - 34. Calculate the remainder when l(-5) is divided by p.
21
Suppose 0*l = 3*l + 6. Let o be l/(-20)*5*0. What is the remainder when 78 is divided by (4 + o - 4) + 27?
24
Suppose 0 = -198*z + 194*z + 4. Let p be (z + 0)/((-74)/(-18) + -4). Suppose 2*i = 11 + p. What is the remainder when 19 is divided by i?
9
Let q = -607 - -850. Suppose -48 = 240*i - q*i. What is the remainder when 131 is divided by i?
3
Let n be ((-16)/4 + 3)*-5. Suppose 5*w - w = -2*t + 16, 4*t + n*w = 38. Calculate the remainder when (-14 - -5)*(0 + -5 + 0) is divided by t.
9
Let h = 388 - 267. Let v = h + -62. Let d(p) = 17*p + 13. What is the remainder when d(6) is divided by v?
56
Let g = 13 + -8. Suppose 18*r = 14*r - 2*i + 1482, g*i = -r + 384. Calculate the remainder when r is divided by 53.
51
Let p = 54 + -31. Suppose -r = 192 + 121. Let v = 403 + r. Calculate the remainder when v is divided by p.
21
Let y(w) = -w**2 + 60*w - 360. Suppose -18*h + 14*h + 28 = 0. Let p(m) = -m**2 + 9*m - 6. What is the remainder when p(4) is divided by y(h)?
3
Suppose -5*n + 348 = -4*h, -4*n - 2*h = -0*n - 268. Calculate the remainder when 679 is divided by n.
67
Suppose -3*u + 4*r = -2035, 0 = -33*u + 32*u + 2*r + 679. What is the remainder when u is divided by 35?
12
Let s = 687 - 474. What is the remainder when 1285 is divided by s?
7
Let f(x) = -505*x - 2962. Calculate the remainder when 189 is divided by f(-6).
53
Suppose -29*f = 2*g - 26*f - 20, 4*g + 3*f = 28. Calculate the remainder when g is divided by (-265)/(-85) + 4/(-34).
1
Let q = -8 - -7. Let v(d) = -19*d**3 - d**2 - 2*d - 1. Let n be v(q). Suppose -17*o + 18*o = n. What is the remainder when 32 is divided by o?
13
Let d(p) = -6*p**2 - 59*p - 108. Calculate the remainder when 148 is divided by d(-4).
20
Suppose -3*a - 18 = -4*w, -5 = 2*a + 2*a + w. Let f(d) = -3*d**3 - 3*d**2 - d + 4. What is the remainder when 71 is divided by f(a)?
17
Let a = 641 + -645. What is the remainder when 387 is divided by 45/((36/(-8) - a)*-3)?
27
Let q(h) = 22 - 16*h + 40 - 5*h + 20*h. What is the remainder when 61 is divided by q(31)?
30
Calculate the remainder when (-32 - (-243)/(-2))*(12/(-2))/3 is divided by 99.
10
Suppose -16*a + 18*a - 44 = 0. Let y be (-54)/(-90) - -2*54/20. Suppose -n = -48 + y. Calculate the remainder when n is divided by a.
20
Suppose 2*b + 3*l - 85 = 109, -l - 102 = -b. Let r(t) = -6*t - 6. Let q be r(-1). What is the remainder when b is divided by -34*((2 - q) + 15/(-6))?
15
Let l = -98 + 101. Suppose 5*t - l*t = 60. Calculate the