 the remainder when ((-162)/(-24))/(-3)*((-16640)/15)/8 is divided by 157.
155
Suppose 28*r - 25*r + 213 = 0. Let d = r + 112. Calculate the remainder when d is divided by 3.
2
Suppose -3*y - 12 = -2*v, 3*y - 3*v - 7 = -19. Let b be y/(-20) - ((-49)/5)/1. Suppose 15*r - b*r - 50 = 0. What is the remainder when 28 is divided by r?
8
Let l = -22489 + 27107. Calculate the remainder when l is divided by 35.
33
Calculate the remainder when 48 is divided by 4/(-420)*-21*(124 + 1).
23
Let h(c) be the first derivative of -c**4/4 - 5*c**3/3 - 3*c**2/2 + 9*c - 138. What is the remainder when 90 is divided by h(-5)?
18
Suppose -49*d + 6270 = -7*d + 53*d. What is the remainder when 6533 is divided by d?
65
Let f(b) = -b**3 + 18*b**2 - 40*b + 139. What is the remainder when 855 is divided by f(15)?
213
Suppose -5*x + 4*j + 9592 = 0, -5739 = -3*x + 24*j - 27*j. What is the remainder when x is divided by 31?
25
Suppose -a = 4, 4*b + 172 = -3*a + 6*a. Let c(u) = u**3 - 4*u**2 + 5*u - 2. Let r be c(3). Calculate the remainder when 66 is divided by ((-34)/r)/(23/b).
15
Let z(n) = 4 + 16*n**2 - 22*n + 13*n**2 - 30*n**2. Let w be z(-22). Suppose -3*u - 5*l + 6 = -36, w*u - 73 = -l. What is the remainder when 187 is divided by u?
16
Let c(r) = -7*r**3 + 35*r**2 + 40*r - 152. Calculate the remainder when 170 is divided by c(5).
26
Suppose -a = -2*n - 429, 1221*a + 5*n = 1224*a - 1292. What is the remainder when a is divided by 13?
10
Let z be -1*(7 + 62)/(-3). Suppose -16*v - z*v = -5304. What is the remainder when v is divided by 20?
16
Suppose -27*y = 8072 + 4105. Let h = 466 + y. Calculate the remainder when 222 is divided by h.
12
Let z = 398 - 139. What is the remainder when z is divided by ((-52)/(-52))/(3/(59 + -2))?
12
Calculate the remainder when 343 is divided by 2/(41 + -40 - (-1 - -4))*-129.
85
Let s(x) = -5*x**2 + 20*x. Let t be s(7). What is the remainder when 369 is divided by 93/(((-5)/(-6))/(t/(-189)))?
59
Let j(x) = -3*x**3 - 10*x**2 - 3*x - 31. Let y be j(-8). Suppose 274 = -5*u + y. What is the remainder when u is divided by 18?
15
Let r(o) = o**3 + o**2 - 56*o + 569. What is the remainder when r(0) is divided by 113?
4
Suppose 0 = 2*w - 2 - 38. Suppose -419*h + 417*h = -w. What is the remainder when 38 is divided by h?
8
Let w = 371 - 254. Suppose 5*m + w = 4*c, c - 5*m + 48 = 2*c. What is the remainder when 161 is divided by c?
29
Let w = 4038 + -3151. Calculate the remainder when w is divided by 3.
2
Let r = -1720 - -1725. Suppose -4*b + 2 + 18 = 0. Suppose -3*k = -2*c + r*c - 96, 125 = 4*k + b*c. What is the remainder when k is divided by 6?
5
Let c be -5*(0 + 244/(-10)). Suppose -13*a = 13*a - 546. Calculate the remainder when ((-10)/(-4))/5*c is divided by a.
19
Suppose 3*i = 5*a + 32, -i + 46 = 4*i - a. Let t = 37 + i. Suppose -2*c + 284 = t. Calculate the remainder when c is divided by 11.
9
Let c = 337 - 276. Suppose 0 = -a - 2*o - 5, -3*o - 20 = 2*o. Calculate the remainder when c is divided by a.
1
Let r(n) be the second derivative of -n**5/20 + 3*n**4/2 - 2*n**3/3 + 7*n**2 + 109*n. Calculate the remainder when r(15) is divided by 63.
62
Suppose -208 = 118*w - 126*w. Suppose 2*c = 2*l - 588 + 174, 4*l - 3*c - 827 = 0. Calculate the remainder when l is divided by w.
24
Let b = 170 + -124. Suppose 4 = 48*j - b*j. What is the remainder when ((-10)/(-12))/((-1)/(-6)) is divided by j?
1
Suppose 77444 + 177218 = 292*v - 143334. What is the remainder when v is divided by 165?
43
Suppose 3*a + 2*c - 78 = -a, -2*a + 14 = -4*c. Calculate the remainder when a is divided by (-20)/100 - (326/2445 + ((-7)/3 - 2)).
1
Suppose 4*m = 7*m + 2*m. Suppose -9*q + 391 - 130 = m. Calculate the remainder when q is divided by 8.
5
Let h(m) = 12*m**2 - 3*m - 2. Let t = -1781 - -1853. Suppose -5*s = 4*r - 127, 3*s - t - 7 = -r. What is the remainder when h(-2) is divided by s?
25
Let h(o) = o**2 - 2*o - 6. Let s be h(-4). Let b = s - 15. Suppose -3*z - z + b*i + 117 = 0, 5*z = 4*i + 147. Calculate the remainder when 133 is divided by z.
25
Let a(l) = 5*l - 37. Let u be a(19). Let r = u - 14. Suppose 3*c - 4*y - 243 = -0*c, 5*y = -c + 100. Calculate the remainder when c is divided by r.
41
Let d = 3028 + -2661. Calculate the remainder when d is divided by 192.
175
Suppose 0 = -2*b - 5*f - 24 - 74, 4*f = 16. Let y = b + 35. What is the remainder when (32/y)/(-2*2/174) is divided by 15?
13
Let c be (-792)/(-81) - (22/(-18) - -1). Suppose c*n = 31*n - 126. Calculate the remainder when 8 is divided by n.
2
Suppose 0 = -5*u - 46 - 24. Let z(c) = -c**2 - 17*c - 14. Calculate the remainder when 53 is divided by z(u).
25
Let c be (10/(-4) + 3)*0/1. Suppose 4*v - 508 = -5*j + j, c = 5*j. Calculate the remainder when v is divided by 10.
7
What is the remainder when 332 is divided by 307 - (-4)/1 - (8 + (-60)/4)?
14
Let h = 1109 - 1068. What is the remainder when 431 is divided by h?
21
Let o(b) = 11*b**2 + 172*b + 525. Calculate the remainder when o(-3) is divided by 3/2 + (-43)/(-2).
16
Let c(g) = 56*g - 3037. Let y(d) = -9*d. Calculate the remainder when c(56) is divided by y(-2).
9
Suppose 27*j = 28*j - 4. Suppose -2*z + 354 = j*z. Let i = z + -40. What is the remainder when 132 is divided by i?
18
Let w(x) = -x**3 + 6*x**2 + 7*x + 5. Let i be w(7). Suppose -11 = -i*l + 4*o, l + 18 = -l - 4*o. What is the remainder when 75 is divided by (l + 0 + 6/4)*26?
10
Let y(q) = q**2 + 12*q + 6. Let b be (127 + 2*(-2)/4)*1. What is the remainder when (4/(-3))/((-12)/b) is divided by y(-12)?
2
Suppose 368 + 252 = 5*j - 5*o, -4*o = 8. Calculate the remainder when 835 is divided by j.
103
Let k be ((-390)/(-9))/((-12)/180). Let j = k - -693. Calculate the remainder when j is divided by 15.
13
Let b(o) = 65*o**2 - 30*o - 70. Calculate the remainder when b(-2) is divided by ((-81)/(-27))/(3/7).
5
Let x = 112 + -97. Let f(z) = z**3 - 17*z**2 + 35*z - 31. Calculate the remainder when f(x) is divided by 4.
0
Suppose -q + 100 = 3*q. Suppose 0 = 4*r - 16, -5*l - 6*r + r + 60 = 0. Suppose -w + 5*s = -5, -4*w - l + 66 = -s. What is the remainder when q is divided by w?
10
Let k = -13312 - -16812. Calculate the remainder when k is divided by 159.
2
Let s = 33 - -517. Suppose 8 = -z - 2*w + 106, 5*w = -z + 113. Calculate the remainder when z is divided by 100/s + 196/11.
16
Let j = -72 + 80. Let l be (j/5)/(2*(-2)/(-10)). Suppose 5*a - 20 = 0, -5*n + 307 = l*a - a. What is the remainder when n is divided by 20?
19
Let b = -101 - -166. Calculate the remainder when b is divided by 23.
19
Let x = -2074 + 2089. Let c = 171 - 55. Calculate the remainder when c is divided by x.
11
Let h be (((-1280)/(-24))/(-5))/(2/(-165)). Let p = h + -842. Calculate the remainder when 108 is divided by p.
32
Let r(m) = -2*m**3 - 8*m**2 + 11*m - 1. Let c be r(3). Let n = -65 - c. What is the remainder when n is divided by (-2)/11 + (-1 - 450/(-55))?
1
Let j(p) = p**3 - 90*p**2 - 101*p + 917. Calculate the remainder when 495 is divided by j(91).
5
Suppose 3*r - 6 = 0, -5*b + r + 62 = 2*r. Suppose 47 = n + 7. Let w = n - b. What is the remainder when w is divided by 15?
13
Let v = 427 - 288. What is the remainder when v is divided by 79?
60
Let g = -172 + 310. Suppose -5*f - 130 = -5*h, 0 = -7*h + 2*h - 3*f + g. Suppose b + 2*r - r = 8, -h = -4*b - 3*r. What is the remainder when b is divided by 3?
0
What is the remainder when 19150/175 - (-21)/(-49) is divided by 48?
13
Suppose -21 = 5*i + 5*g - 491, 3*i - 362 = -23*g. What is the remainder when 227 is divided by i?
47
Suppose -1492 = -5*b + 2*t, 4*b = 203*t - 207*t + 1188. Calculate the remainder when b is divided by 152.
146
Let d(m) = -m - 5. Let y be d(-5). Suppose 13*q - 10*q - 9 = y. Suppose 3*g + 35 = x, 9 = x + q*g - 2. What is the remainder when x is divided by 12?
11
Suppose 0*r - 5*r = -3*s + 376, s - 126 = 2*r. Let f = -106 + s. Calculate the remainder when 254 is divided by f.
14
Suppose 3*t + 6375 + 6561 = 17*t. What is the remainder when t is divided by 203?
112
Suppose -8*q = 4680 - 5328. Suppose 10 = 2*c - 72. What is the remainder when q is divided by c?
40
Suppose -22 - 5 = 5*g - a, -a = g + 9. Calculate the remainder when 11/(-33) + (-1304)/g is divided by 44.
41
Suppose 3*z - 2*z = 178. Let v = z - 135. What is the remainder when 685 is divi