when j is divided by 21.
17
Suppose -134*k + 3901 + 21343 + 8256 = 0. Calculate the remainder when 481 is divided by k.
231
Suppose 2*b - 85 - 353 = 4*n, 0 = -b - 5*n + 233. Suppose 7*d + 5*f = 5*d - 12, 3*f = 5*d - 94. What is the remainder when b is divided by d?
13
Suppose -2*v = -5*v - 4*z - 148, -z = -2*v - 95. Let h = v - -155. Calculate the remainder when h is divided by 55.
52
Let s(w) = 356*w**3 + 2*w**2 - 4*w + 2. Let x be s(1). Let l = 689 - x. Calculate the remainder when l is divided by 56.
53
Calculate the remainder when 310 is divided by (((-720)/35)/8)/(1914/1932 + -1).
34
Suppose 9*s + 44 = 13*s. Suppose -16*b + s*b = -15. Suppose b*n + 20 = u, -u - 154 = -6*u - 3*n. What is the remainder when 56 is divided by u?
27
Suppose -6*n + 13 = 1. Suppose -3*j - n*j - 5*f = 30, -3*f = 6. What is the remainder when 25 is divided by ((-6)/j)/(3/14)?
4
Let n = -743 - -760. Suppose 3*w - 3*x = 15 - 6, x = -3*w + n. Calculate the remainder when 72 is divided by w.
2
What is the remainder when 1202 is divided by (-9388)/(-46) + 616/(-7084)?
182
Let s(d) = 3*d**2 - 35*d - 210. What is the remainder when 122 is divided by s(-5)?
2
Let s = -213 + 508. Suppose -4*i - s = -427. What is the remainder when 45 is divided by i?
12
Let k(l) = 5*l**2 + 20*l + 7. Let z = 48 - 44. Calculate the remainder when k(-6) is divided by z.
3
Let x = 11268 - 11131. Calculate the remainder when 2328 is divided by x.
136
Suppose 0 = -3*d - k + 6 + 5, 4*d = -3*k + 23. Suppose -s + d = 2*p, p + 2 = 3*p. Let u(y) = -y + 11. What is the remainder when u(s) is divided by 7?
4
Let b(s) be the first derivative of -s**3/3 + 35*s**2/2 - 63*s - 22. Let v(z) = z - 1. What is the remainder when v(7) is divided by b(33)?
0
Let k = 14179 + -14169. What is the remainder when 1297 is divided by k?
7
Suppose 5*r = 2*z + 124, -3 - 1 = 2*z. Let g = r - 12. Suppose -665 = -g*f + 7*f. What is the remainder when f is divided by 45?
43
Let l = 6011 + -5930. What is the remainder when 654 is divided by l?
6
Let r(o) = 9*o. Suppose -4*c = 2*l - 94, 0 = 5*l + 4*c - 8 - 221. What is the remainder when (-2)/((l/(-80))/9) is divided by r(1)?
5
Let b(x) = 5*x**2 + 2*x - 4. Suppose 23*j - 226 - 2094 = 877. Calculate the remainder when j is divided by b(-3).
34
Let m = -3825 + 4796. Calculate the remainder when m is divided by 75.
71
Suppose 21*u - u - 50258 = -16858. Calculate the remainder when u is divided by 77.
53
Let l(h) = -61*h - 120. Let m be l(-6). Suppose 253*f - 161 = m*f. What is the remainder when 36 is divided by f?
13
Suppose 369 = -x + 4*x. Suppose 66*g - 15*g + 81*g - 6204 = 0. Calculate the remainder when x is divided by g.
29
Suppose -1775 = -53*i - 79. Suppose -5*l + 262 = i. Calculate the remainder when l is divided by 30.
16
Let d = 2979 - 2969. Suppose 3*j + 2*y - 34 = 0, -2*j - 4*y + 6 + 30 = 0. What is the remainder when d is divided by j?
2
Let d(t) = 2*t**3 + 104*t**2 + 293*t + 58. What is the remainder when 1175 is divided by d(-49)?
105
Let m be -368*(7*(-5)/(-10) - 4). Suppose -6*f + m = 17*f. Calculate the remainder when 27 is divided by f.
3
Suppose 199 = 4*o + 7. Suppose 6*a - 171 = -3*a. Calculate the remainder when o is divided by a.
10
What is the remainder when 326 is divided by 4*(-1526)/(-168)*3?
108
What is the remainder when 3*3 + -255*46/(-115) is divided by 18?
3
Suppose 78 = -23*z + 27*z - y, -120 = -5*z + 5*y. Calculate the remainder when 1024 is divided by z.
16
Let s be (2/(-6) - 1)/(8/(-24)). Suppose 19*y = s*y + 120. Calculate the remainder when 19 is divided by y.
3
Calculate the remainder when 30/(-20)*3654/(-27) is divided by 107.
96
Suppose 87*v + 5058 = 3*k + 84*v, -3*k - 2*v = -5023. Calculate the remainder when k is divided by 26.
15
Suppose -234 + 18 = -6*d. Suppose 8*o + 228 = 11*o. Suppose 0 = -t + 5*t - o. Calculate the remainder when d is divided by t.
17
Suppose -f - 1956 = -5*f. Suppose -8*x - 3*m = -3*x - f, 3*m = -x + 105. What is the remainder when x is divided by 10?
6
Suppose 84*j - 185*j + 3745 = -66*j. Calculate the remainder when 186 is divided by j.
79
Suppose 0 = -3*p + 6, -10*p + 6*p = -y + 65. What is the remainder when 426 is divided by y?
61
Suppose 5*f + 85 = 2*q - 6, 2*q - 97 = 3*f. Calculate the remainder when q is divided by 34/(-51)*(-174)/4.
24
Let h = -6 - -8. Suppose -3*u - 14 = 2*s - 38, 16 = h*u - 4*s. Suppose 0 = -3*j + 5*z + 15, -5*j + 5*z = 7*z - 25. What is the remainder when u is divided by j?
3
Suppose -3350 - 430 = -42*i. Calculate the remainder when 119 is divided by i.
29
Calculate the remainder when 179 is divided by 81 - 19 - 3 - 9.
29
Suppose -4*g - 15 = g, -5*g = 4*k - 113. Suppose -108 = -5*p - 93, -2*t - 2*p + 62 = 0. Calculate the remainder when (1 - -2) + 7/(t/k) is divided by 3.
2
Suppose -4*j - 687 = -695. Suppose j*p + 4*a = 9*a - 5, -a = 4*p - 23. Suppose 0 = 2*y + 2*y - 12. What is the remainder when p is divided by y?
2
Suppose -135 = -16*c + 521. What is the remainder when c is divided by (-3)/(3/(-36)*-9) - -14?
1
What is the remainder when 515 - ((-98)/7 + 0) is divided by 35?
4
Let j(t) = -7*t**3 + 27*t**2 + 3*t - 5. Let p be j(4). Let x(n) = 3*n**2 + 20*n + 128. What is the remainder when x(p) is divided by 24?
23
Suppose -k = k - 76. Suppose -2*n = -4*u - k, 5*n = 4*u + 36 + 59. Let y(v) = 2*v**2 + 2. Calculate the remainder when y(-4) is divided by n.
15
Suppose -72*v + 64*v + 274 = -15486. Calculate the remainder when v is divided by 27.
26
Let x = 7599 - 3654. Calculate the remainder when x is divided by 1970.
5
Let t(g) = g**3 - 18*g**2 + 17*g + 28. Let h be t(17). Suppose h*r - 22*r = 276. Suppose 0*j - 2*j + 48 = 0. What is the remainder when r is divided by j?
22
Let p = 3935 - 3840. What is the remainder when p is divided by 24?
23
Suppose 34 = 92*u - 75*u. Let f(r) = 16*r**3 + 3*r**2 + 3*r - 1. What is the remainder when f(u) is divided by 40?
25
Suppose -320*u + 646*u - 318*u - 136 = 0. What is the remainder when 2973 is divided by u?
15
Let r(k) = -2*k**3 - 4*k**2 - 3*k - 2. Let n = 4 - 6. What is the remainder when (12/8)/((0 + 2)/12) is divided by r(n)?
1
Let i = -41 + 44. Suppose -48 = r - 2*v + 48, i*v - 501 = 5*r. Let b = 112 + r. What is the remainder when b is divided by 7?
3
Let u(s) = s**2 + 22*s - 540. Calculate the remainder when 357 is divided by u(-37).
12
Let h = -12949 + 17727. What is the remainder when h is divided by 37?
5
Suppose m = -z + 150, 2*m - 11*z = -7*z + 258. What is the remainder when m is divided by 67?
9
Let a(r) = -r**3 + 51*r**2 + 220*r + 22. Let k = 103 - 44. Calculate the remainder when k is divided by a(55).
15
Suppose 0 = w + 2*w - 3*k - 189, -2*k = 3*w - 169. What is the remainder when w is divided by ((2/28)/(14/56))/((-7)/(-490))?
19
Let z(t) = 5*t**2 + 18*t + 121. What is the remainder when z(-5) is divided by 25?
6
Suppose -t - 2*s = 0, -12 = -t - 2*s + 4*s. Let c(d) = 4*d**2 + 6*d - 19. What is the remainder when c(t) is divided by 33?
29
Let g(s) = 143*s + 76. Calculate the remainder when g(26) is divided by 13.
11
Let i(t) = 20*t + 5. Let r be i(0). Suppose -2*h + 38 = -3*n, 98 = r*h - 4*n + 10. Calculate the remainder when 48 is divided by h.
0
Suppose 15*m - 37*m = -11330. Calculate the remainder when m is divided by 81.
29
Let j(c) = 5*c**2 + 52*c - 292. Let q = -37 - -104. Calculate the remainder when j(6) is divided by q.
66
Let r(s) = s**3 + 13*s**2 + 20*s - 3. Let p = -40 + 32. What is the remainder when r(p) is divided by 27?
22
Let y = -16 - -28. Calculate the remainder when 53*((-1)/2 - (-18)/y) is divided by 8/(-28) - (-594)/21.
25
Let n = 217 - 188. What is the remainder when n - (15 + -7 + -3) is divided by 17?
7
Let l = -183 - -177. Let b(a) = -a**3 - 3*a**2 + 7*a + 1. Calculate the remainder when b(l) is divided by 35.
32
Let m(l) = 9*l - 20. Let q = -51 + 45. What is the remainder when m(9) is divided by q/(-21) + 183/21?
7
Suppose 15 = 5*n, 288 + 76 = 2*d + 4*n. Let c = d - 113. Calculate the remainder when c is divided by 16.
15
Let u(o) = -114*o + 766. Calculate the remainder when u(4) is divided by 1316/16 - (-2)/(-8).
64
Suppose 36*n + 38*n = 58*n + 512. What is the remainder when 110 is divided by n?
14
Suppose -51 = -s - 2*s. Suppose 0 = -21*i + 17*i. Suppose 40*h - 39*h - 32 = i. Calculate the rema