 Does 19 divide f?
False
Let i = -55 - -58. Suppose i*v - 4*z + 8 = v, 4*v + 2*z + 46 = 0. Let a = v - -37. Is 3 a factor of a?
True
Let g = -805 + 520. Let k = g - -505. Does 22 divide k?
True
Let f(n) = 4*n**3 + 44*n**2 - 8*n - 15. Is 33 a factor of f(-8)?
False
Let s(o) = 2 + 2 + 4 + 10*o + 2*o**2. Suppose 0*q + 4*q - 3*c = -36, 0 = -q - 5*c + 14. Is s(q) a multiple of 16?
False
Let v(c) = -c**3 + 19*c**2 + 40*c + 23. Let t(w) = w**3 - 20*w**2 - 39*w - 24. Let o(b) = -7*t(b) - 6*v(b). Does 4 divide o(27)?
True
Suppose 5*w = -5*w + 20. Suppose w*u + 80 = 2*o, -3*u - 2*o + 41 = -4*u. Let g = u - -44. Is 5 a factor of g?
True
Is 170/1360 - (-536574)/16 a multiple of 15?
False
Suppose 7996 = 6*j - 19034. Does 37 divide j?
False
Let x(r) = 4*r - 60. Let h be x(15). Suppose 2*p + 316 = 3*k - h*p, -209 = -2*k + p. Is k a multiple of 3?
True
Let s = 45060 - 40831. Does 6 divide s?
False
Suppose 0 = -16*b - 2*b + 4482. Suppose -t = 4*t + 4*q - 1283, t - 3*q = b. Is t a multiple of 15?
True
Suppose 0 = 3*f - 3*g - 47256, 31506 = -33*f + 35*f - 3*g. Suppose -16*k - 9*k = -f. Is k a multiple of 30?
True
Let a be (-16)/(-6)*63/42. Suppose -a*l - 2*x = -382, 3*x + 51 + 34 = l. Is 13 a factor of l?
False
Let y(m) = 3*m**3 + 5*m**2 - m + 3. Let n(v) = 4*v**3 + 4*v**2 + 2. Let f(u) = -4*n(u) + 5*y(u). Let b be f(6). Suppose -r = 2 - b. Is r a multiple of 7?
False
Let g be (-18*(-1)/(-5))/(2/5). Is (-3256)/(-111)*g/(-4) a multiple of 3?
True
Suppose -2*c + 3*q + 20 = 0, -q - 2*q - 28 = -4*c. Suppose 5*t - c*t - 3*k - 10 = 0, -t - k + 14 = 0. Suppose 0 = s - t - 4. Is s a multiple of 17?
True
Let p = 1249 - -1135. Suppose 10*s - 18*s = -p. Is 4 a factor of s?
False
Let c be (-1*9)/(((-4)/26)/2). Suppose -c = -j + 66. Let i = j + -113. Does 13 divide i?
False
Suppose 3*g - 16639 = -m, -3*g + m + 3601 = -13048. Is g a multiple of 73?
True
Let j be (92 + 0 + 4)/((-9)/(-6)). Suppose j = -0*f + 2*f. Let p = f - -150. Does 26 divide p?
True
Let d = -17819 - -25592. Is d a multiple of 303?
False
Suppose 45*u - 49*u = 3*g - 3029, 1023 = g + 4*u. Is 17 a factor of g?
True
Let h be 33/12 - -1*(-3)/(-12). Suppose h*y - 22 = -49. Let j(r) = r**2 + 2*r - 18. Is j(y) a multiple of 19?
False
Let m(u) = -109*u - 746. Is m(-8) a multiple of 9?
True
Suppose -15*t + 25*t + 200 = 0. Does 27 divide ((-1)/((-65)/(-4212)))/(6/t)?
True
Let w(n) = 69*n**2 + 5*n + 1. Let a be w(2). Let b = a - 225. Does 55 divide b?
False
Suppose 3*c - 4*z = -c + 64, 5*z = -3*c + 56. Suppose 2*d = -2*u - 10, -7*u - d = -2*u + c. Is 8 a factor of u/12 - (-362)/8?
False
Let s(j) = -42*j + 10245. Does 201 divide s(19)?
True
Let i(d) = 241*d**2 - 35*d - 763. Does 14 divide i(-10)?
False
Let b be (-8 + 5)/((-1)/98). Let c = -63 + b. Does 14 divide c?
False
Let o = -146 + 160. Suppose 0 = o*i - 292 - 226. Is 27 a factor of i?
False
Let b = 497 - 705. Let y = 274 + b. Does 33 divide y?
True
Let p(v) = 8*v**2 + 4*v + 25. Let d(t) = -8*t**2 - 5*t - 26. Let o(u) = 4*d(u) + 3*p(u). Let g(m) be the first derivative of o(m). Is 21 a factor of g(-7)?
False
Let j(o) be the second derivative of o**7/360 + o**6/45 - o**5/40 - 11*o**4/12 + 28*o. Let t(b) be the third derivative of j(b). Is 15 a factor of t(-4)?
True
Let p = 5525 + -4210. Is 8 a factor of p?
False
Suppose 50*m - 107816 = 128684. Does 110 divide m?
True
Suppose 15*c = 12*c + 15. Suppose -1 = -3*h + c. Suppose 5*v - 88 = h. Is v a multiple of 17?
False
Is (-52)/7*(-167 + -1135) a multiple of 12?
True
Let z = -1427 + 3547. Is 68 a factor of z?
False
Suppose 3*j = k - 78, -123 = 6*j - 2*j + 5*k. Let x = 1257 - 1194. Let p = j + x. Does 3 divide p?
True
Let b = 43 + -49. Does 20 divide (-1350)/(-21)*28*(-1)/b?
True
Let d(h) = 12 - h**2 + 34*h - 10 + 2. Does 5 divide d(33)?
False
Let f(p) be the third derivative of p**5/60 - 23*p**3/6 - 32*p**2. Let k be f(8). Suppose s - w - k = 13, 3*s - 4*w - 161 = 0. Is s a multiple of 11?
True
Suppose 3*w + 34 = u, w + 12*u = 7*u - 22. Does 17 divide w/6 + 5 + 184?
True
Does 306 divide (1 - -2)/(315/3984050) + (-2)/(-3)?
True
Let f(k) = k**2 + 2*k - 1. Let b be f(-5). Let l(m) = -m**2 + 20*m + 9. Is l(b) a multiple of 14?
False
Suppose 0 = 746*k - 797132 - 234122 - 3285848. Is 6 a factor of k?
False
Suppose 0 = 98*o + 47*o - 1730285. Is o a multiple of 84?
False
Let a(z) = -7*z + 16. Let s(h) = -8*h + 15. Let b(i) = -3*a(i) + 2*s(i). Let f = 1194 - 1188. Is b(f) a multiple of 4?
True
Let x(h) = 4*h**2 - 82*h - 1893. Is 22 a factor of x(-64)?
False
Let m be (6/1 - 48/24) + 4. Let q = m - 5. Is q even?
False
Let j(v) = -2*v**2 + 17*v + 8702. Does 19 divide j(0)?
True
Is 21 a factor of 16041 + 108 - 3*1*-1?
False
Let d(x) be the second derivative of -63*x**5/10 - x**4/12 + x**3/6 + x**2 - 21*x. Let a be d(-1). Suppose 11*b = a + 17. Is b a multiple of 13?
True
Suppose -k + 15 = 14*p - 17*p, k - 8 = -4*p. Suppose k*y - 447 = -27. Is 5 a factor of y?
True
Let v(g) = -11*g**2 + 7*g - 6. Let t(r) = r - 1. Let w(c) = 2*t(c) - v(c). Let p(i) = -2*i**2 - 10*i + 3. Let h be p(-5). Is w(h) a multiple of 14?
False
Let c(q) be the second derivative of q**4/2 - 7*q**3/3 + 4*q**2 - 21*q. Let w(t) = -3*t + 23. Let r be w(6). Does 11 divide c(r)?
True
Suppose 5*n + 18450 = 5*z, -5*z + 22700 = 5*n + 4250. Is z a multiple of 9?
True
Suppose 5*o = o - 208. Let f = o - -56. Is 21 a factor of 0 + f/(-14) - 2868/(-42)?
False
Suppose -327 = 2*g - 2139. Suppose 0 = -2*t - 2*x + g, -12*x = -t - 17*x + 465. Is t a multiple of 18?
True
Suppose -8*d + 3000 = -3*d. Suppose 264 = 2*c - 5*a - 324, 2*a + d = 2*c. Is c a multiple of 19?
True
Does 19 divide 17/(-3 - (35372/(-6432) + 7)*-2)?
False
Let b = 469 + -350. Let p = 181 + b. Is 15 a factor of p?
True
Let k(w) = -959*w - 2443. Does 68 divide k(-9)?
True
Let o(j) be the second derivative of -11*j**5/20 + j**4/4 - 2*j**3/3 - 7*j**2 + 2*j - 11. Is o(-2) a multiple of 7?
False
Suppose -2*l + 22 = -4*j, -3*j = 3*l + 24 - 66. Suppose -l*n + 2885 - 428 = 0. Does 24 divide n?
False
Suppose -4*u = m + 316, -6*m + 2*m + 4*u - 1244 = 0. Let p = 912 + m. Does 53 divide p?
False
Suppose 6960 = 3*g - 4*t, -g - 3*t + 468 + 1878 = 0. Is g a multiple of 23?
False
Let x(t) be the third derivative of t**4/24 + 5*t**3/2 - 17*t**2. Let u be x(-12). Suppose j - u*j - 2*r = -340, -4*j + r = -690. Is 43 a factor of j?
True
Let f(s) = 11*s**2 - 21*s + 55. Let p(a) = 11*a**2 - 20*a + 54. Let w(r) = -6*f(r) + 7*p(r). Does 66 divide w(6)?
False
Let x = -2216 - -4004. Is 6 a factor of x?
True
Suppose 18 + 47 = 5*s. Let q(i) = i**3 - 15*i**2 + 5*i + 9. Let o be q(s). Is 16 a factor of (44/6)/((-16)/o)?
False
Let d be (-1)/(-4 - 19*2/(-10)). Suppose -33 = 4*b - q - 12, -2*b - 27 = d*q. Is (-34)/b + 40/30 a multiple of 7?
True
Suppose -4*b + 43466 = 2*t, -5*b + 45071 = 2*t - 9265. Does 57 divide b?
False
Let f(o) = o**3 - 11*o**2 - o + 9. Let w be f(8). Suppose 2*g + 3*g - 1340 = 0. Let v = w + g. Is v a multiple of 11?
True
Suppose 15 = 5*v + 5*r, 0 = -5*v + 3*v + 4*r. Suppose -4*g + v*b = -622, -87 - 64 = -g - b. Is g a multiple of 10?
False
Let z = 12730 + -7398. Is 43 a factor of z?
True
Let i be (0 - 66)*(-13)/((-156)/(-18)). Let k = i + -15. Is k a multiple of 12?
True
Let o be ((-135)/(-75))/(3/10). Suppose 8*q = -o + 6. Suppose -2*j + 6 = q, 5*h - 1268 = -0*h - j. Is h a multiple of 11?
True
Let u(w) = -7*w + 65. Let p be u(-10). Let b = 34 - p. Let d = -89 - b. Is 4 a factor of d?
True
Let z = -137 + 129. Let a(y) = 9*y**2 + 23*y - 11. Is a(z) a multiple of 30?
False
Suppose -9*w + 268 = -1217. Suppose -5*j + 5*m + 235 = 0, 0 = -4*j + 3*m + w + 26. Is j a multiple of 5?
True
Suppose -2*s - 2*m = -128, -2*m - 40 = -s + 3*m. Suppose -s*w + 3300 = -49*w. Is w a multiple of 5?
True
Let i(b) be the second derivative of -16/5*b**5 + 0 + 0*b**2 + 1/12*b**4 + 37*b + 1/6*b**3. Is 12 a factor of i(-1)?
False
Suppose 228195 = -27*u + 32*u + 5*z, 2*u + 3*z = 91275. Does 21 divide u?
False
Let f(v) = -2*v + 30. Let y be f(14). Suppose y*p + 3*w = -5, 0 = -2*w - 2*w - 12. Suppose -4*i + 9*i + p*c - 243 = 0, 0 = -3*i - c + 145. Does 18 divide i?
False
Let v = 87 - 77. Suppose -v*p + 11700 = 8*p. Does 50 divide p?
True
Let m(r) = -r**3 - 10*r**2 - 12*r - 19. Let n be m(-9). Let w(x) = 2*x**2 - 6*x + 22. Does 6 divide w(n)?
True
Let 