5 = -16*w + 207. What is the remainder when 75 is divided by w?
7
Let x(g) = -2*g - 8. Let w be x(12). Let h be (w + 4)*(-3)/4. What is the remainder when 4/(-14) + 363/h is divided by 5?
2
What is the remainder when 42 is divided by 0 + -6*(-1)/2?
0
Suppose -18*x = -83 - 259. Calculate the remainder when 2240 is divided by x.
17
Suppose 5*k + 13 = m, -5*k - 64 - 21 = -5*m. What is the remainder when m is divided by 5?
3
Let r(q) be the third derivative of -q**5/60 + 5*q**4/8 + 37*q**3/6 + 22*q**2. What is the remainder when 7 is divided by r(17)?
1
Let w(k) = 59*k - 585. Calculate the remainder when 146 is divided by w(10).
1
Let d(h) = h**3 - 3*h**2 + 4. Let t be d(2). Suppose 2*w - 3*r - 222 = t, r - 361 - 211 = -5*w. Calculate the remainder when w is divided by 29.
27
Let n be (-66)/(-21) + (-1 - (-18)/21). Suppose 5*z = 3*p - 35, -3*p - 5*z + 7 = -n*z. Calculate the remainder when 24 is divided by p.
4
Let l(n) = -n**2 - 8*n - 6. Let h be l(-8). Let s(w) = 2*w + 3. Let o be s(h). Calculate the remainder when 1*(1 + -4)*o is divided by 10.
7
Let u be -2 + (12 - 10)*7/2. Suppose -u*s - 6 + 76 = 0. Let k(t) = 6*t**2 + 1. What is the remainder when k(2) is divided by s?
11
Calculate the remainder when ((-243)/(-2))/(39/52) is divided by 45.
27
Let l(j) = -29*j - 7. Calculate the remainder when 349 is divided by l(-1).
19
Let t be -1*5 + 28 + 205. Let a = -151 + t. Let l = 47 + -27. Calculate the remainder when a is divided by l.
17
Let r be (-48)/(-20) + 2/(-5). Suppose 4*q - 2*z = 30, 0 = r*q - q + 4*z - 21. Calculate the remainder when q is divided by 6.
3
Let n be 942/27 + 5/45. Suppose 2*z = n + 47. Calculate the remainder when z is divided by 22.
19
Let z = 1114 - 740. What is the remainder when z is divided by 95?
89
Let s(u) = -3*u + 10. Let x be s(2). Suppose -x*o - o = -20. Calculate the remainder when 14 is divided by o.
2
Suppose -10*p + 137 + 183 = 0. What is the remainder when 89 is divided by p?
25
Suppose -3*j = -557 - 400. What is the remainder when j is divided by 32?
31
Suppose -n = n + 5*n. Suppose 335 = 5*l - n*l. What is the remainder when l is divided by 24?
19
What is the remainder when (-3076 + 19)/((-3)/2) is divided by 120?
118
Calculate the remainder when ((-3675)/(-60))/(2/24) is divided by 92.
91
Suppose -114 = 5*f - 424. Calculate the remainder when f is divided by 16.
14
Suppose -4*r + 21 = 2*j - 5*r, -12 = -j + r. Calculate the remainder when 295/j + 4/18 is divided by 9.
6
Let n = -153 - -185. What is the remainder when 220 is divided by n?
28
Let f(s) = -8*s - 28. Let h be (-16)/(-24)*(-7 + 1). Calculate the remainder when (-54)/15*(-10)/4 is divided by f(h).
1
Let n(l) = -l**2 + 7*l - 6. What is the remainder when n(4) is divided by 336/80 + (-6)/30?
2
Let p(b) = -b**3 + 23*b**2 - 2*b + 69. Let k be p(23). Let j = k + -17. Calculate the remainder when 95 is divided by j.
5
Suppose 0 = o - 2*o + 20. Suppose -4*f = t - 94, 4*f + 32*t - 27*t = 86. What is the remainder when f is divided by o?
4
Let h(k) = -k + 23. Let c = -25 + 39. Calculate the remainder when h(c) is divided by 4.
1
Let p be ((-9)/2)/(2/(-4)). Let h be (64/12)/((-3)/p). Let t = h - -23. What is the remainder when 34 is divided by t?
6
Suppose 0 = -4*r + 572 + 32. What is the remainder when r is divided by 17?
15
Suppose 1 - 19 = 6*i. Calculate the remainder when 21 is divided by (54/(-7))/i*(-28)/(-6).
9
Suppose 4*w - 84 = 4*m, -23*w - 62 = -25*w - 2*m. What is the remainder when 269 is divided by w?
9
Suppose -43 = -4*f - 367. Let u = f + 143. What is the remainder when u is divided by 13?
10
Suppose -36 + 44 = 2*g. Suppose -51 = -p + 2*h, 2*p - h = -g*h + 102. What is the remainder when p is divided by 9?
6
Suppose -540 = -6*l + l + z, -3*z - 550 = -5*l. What is the remainder when l is divided by 27?
26
Calculate the remainder when 5 + 2*(-2)/4*-117 is divided by 31.
29
Let d = 0 - -2. Suppose -2*t - 70 = -4*t - 2*l, -d*t - 4*l = -80. Suppose -168 = -84*c + 756. Calculate the remainder when t is divided by c.
8
Suppose 7 = -24*t + 271. Calculate the remainder when t is divided by 8.
3
Let r(l) = -13*l - 1. Let h be r(1). Let p = h - -17. Calculate the remainder when 7 is divided by p.
1
Let u = 78 - 66. Let v = 161 + -103. Calculate the remainder when v is divided by u.
10
Let c = 150 + -168. Let f = 37 - c. What is the remainder when f is divided by 14?
13
Suppose -3*b = 3*z + 2 - 5, -5*b - 7 = 2*z. Let a(d) = 2*d**2 - 4. Let w be a(2). Suppose w*r = 88 + z. Calculate the remainder when 45 is divided by r.
22
Let d(f) be the second derivative of f**5/20 + f**4/3 - 5*f**3/6 - 9*f**2/2 + 9*f. Calculate the remainder when 31 is divided by d(-4).
9
Calculate the remainder when 2*(-2)/2*591/(-6) is divided by 67.
63
Let z = -18 + 42. What is the remainder when 117 is divided by z?
21
Suppose -132 = 30*r - 42*r. Calculate the remainder when 65 is divided by r.
10
Let b(q) = -q**3 - 4*q**2 + q - 7. Suppose 0 = l + 4*l - 25. Suppose 0 = l*n - 6*n + 25. Calculate the remainder when n is divided by b(-5).
12
Let z(h) = h**2 + 6*h + 28. What is the remainder when z(-12) is divided by 26?
22
Let u = 1160 - 1149. Suppose 0 = -2*d + 2*s - s - 9, 0 = 5*d - 5*s + 10. Let w(m) = -m. Calculate the remainder when u is divided by w(d).
4
Let x be -1 - 12/(-4) - (1 + -2). Suppose -x*m - 5 = -4*m. Calculate the remainder when 23 is divided by m.
3
Let a be (-154)/10 + (-12)/20. Let u = 19 + a. Suppose u*j = 109 - 34. What is the remainder when j is divided by 7?
4
Suppose m = 36*m - 490. Calculate the remainder when 101 is divided by m.
3
Let n(c) = 3*c**2 - 5*c + 13. What is the remainder when 375 is divided by n(5)?
60
Let i = -627 - -651. Calculate the remainder when 68 is divided by i.
20
Let q = 92 + -89. What is the remainder when 31 is divided by q?
1
What is the remainder when 4678 is divided by ((-5)/((-8)/((-1736)/(-35))))/1?
28
Let n = -392 - -409. What is the remainder when 299 is divided by n?
10
Let m(v) = -4*v**2 + 135*v + 653. Let y = 7 + -5. What is the remainder when m(38) is divided by (-3 + 0/y)*-1?
1
Suppose -3 = -3*q + 6. Suppose q*y - 3*o + 5*o - 64 = 0, 0 = 4*y - 2*o - 90. What is the remainder when y is divided by 4?
2
Let z(b) = 13*b**3 - b**2 - 3*b + 4. Suppose 10 = -3*w + 1, 0 = 3*q + 3*w + 3. Calculate the remainder when z(q) is divided by 25.
23
Let y = 97 + -88. Suppose 0*w - 3*w - 11 = -a, y = -3*w. What is the remainder when 25 is divided by a?
1
Let a(y) = y**2 + 5*y - 5. Suppose -36 = 4*f + 4. Let k be a(f). Let h = k - 24. What is the remainder when 40 is divided by h?
19
Let n(k) = -k**3 + 9*k**2 + 2. Let q(t) = 8*t**2 + 1. Let l be q(-1). Let g be n(l). Suppose 0 = g*y - 37 + 3. Calculate the remainder when 49 is divided by y.
15
Suppose 7*o - 5*f - 1603 = 3*o, 4*o + 4*f = 1612. What is the remainder when o is divided by 81?
78
Suppose -2*t = -449 + 93. What is the remainder when t is divided by 30?
28
Let i(c) = 26*c**2 - 14*c**2 + c - 11*c**2 + 3*c. Let l be i(5). Suppose 8*b = 3*b + l. Calculate the remainder when 26 is divided by b.
8
Let h = 1 + 1. Let a = 307 - 307. Suppose a = s - h - 10. What is the remainder when 45 is divided by s?
9
Let g(t) = t**3 - 9*t**2 + 7*t + 2. Suppose 2*y + 18 = 4*y. What is the remainder when g(y) is divided by 34?
31
Let w be -3 + 55 - (-4 + 0). Let v = -35 + w. What is the remainder when 40 is divided by v?
19
Let p = 1619 - 1596. What is the remainder when 42 is divided by p?
19
Suppose -15 = 9917*u - 9918*u. Suppose -280 = -4*f - f. What is the remainder when f is divided by u?
11
Suppose 10*t = 7*t - 4*q + 409, 5*t + 3*q - 678 = 0. What is the remainder when t is divided by 58?
19
Calculate the remainder when 6/(-14)*175/(-30)*6 is divided by 1.
0
Suppose -3*d + 9 + 0 = -3*v, 5*v - 13 = -2*d. Suppose -2*t = -4*t + 60. What is the remainder when t is divided by d?
2
Let p(z) = -11*z + 156. What is the remainder when 60 is divided by p(13)?
8
Let r(s) = s**3 + 9*s**2 + 15*s - 5. Calculate the remainder when 101 is divided by r(-4).
11
Suppose 0 = h - 2*i + 14, h + 10 = -4*i + 2*i. Calculate the remainder when 2 is divided by (3/2)/(h/(-16)).
0
Let y = -161 - 187. Let v be (-2)/10 - y/(-60). Let b = v + 24. What is the remainder when 69 is divided by b?
15
Suppose u - 21 + 99 = 4*k