ive of p**6/39 - 4*p**5/65 - 9*p**4/13 - 64*p**3/39 - 23*p**2/13 - 12*p/13 + 352. Factor k(x).
2*(x - 6)*(x + 1)**4/13
Let 240*d**2 + 222*d**2 - 1025*d**2 + 235*d**2 + 436*d + 520 - 4*d**3 + 240*d**2 = 0. What is d?
-26, -1, 5
Let d(f) be the third derivative of -121*f**6/480 - 77*f**5/120 + 5*f**4/3 - 4*f**3/3 - 6*f**2 + 99. Factor d(z).
-(z + 2)*(11*z - 4)**2/4
Let o(v) = 2*v**3 + 5*v**2 - 2*v - 5. Suppose -2*g + 7 = -h, 3 = -g + 4*g + h. Let k(a) = 2*a**3 + 4*a**2 - 4*a - 6. Let u(l) = g*o(l) - 3*k(l). Factor u(x).
-2*(x - 2)*(x + 1)*(x + 2)
Let y be (4*-2)/((-144)/(-3384)). Let p = y + 190. What is i in -1/6*i**5 - 2/3 + 3/2*i - 1/3*i**p + i**4 - 4/3*i**3 = 0?
-1, 1, 4
Let j(n) be the first derivative of 0*n - 4/3*n**3 - 5/6*n**5 - 4 + 5/3*n**4 - 23/2*n**2. Let m(i) be the second derivative of j(i). What is h in m(h) = 0?
2/5
Let z(o) = -o**2 - o + 159. Let a be z(11). Let j be (-30)/a*15/(-25) - -1. Factor -j*d**4 + 0 + 1/6*d - d**2 + 1/2*d**5 + 2*d**3.
d*(d - 1)**3*(3*d - 1)/6
Let k(f) be the second derivative of 5*f**7/21 + 67*f**6/15 + 201*f**5/10 - 175*f**4/6 - 98*f**3/3 - 2941*f. Suppose k(i) = 0. Calculate i.
-7, -2/5, 0, 1
Let a(t) be the third derivative of -t**5/180 + 667*t**4/36 - 444889*t**3/18 - 3566*t**2. Factor a(w).
-(w - 667)**2/3
Let i be 17 + (-3380)/117 - -12. Let g(k) be the first derivative of -i*k**2 - 16 + 1/27*k**3 - 1/3*k. Find q, given that g(q) = 0.
-1, 3
Let t(c) = -6*c**3 - 78*c**2 - 360*c - 286. Let u(m) = -7*m**3 - 79*m**2 - 360*m - 285. Let r(v) = -3*t(v) + 2*u(v). Factor r(y).
4*(y + 1)*(y + 6)*(y + 12)
Let q(c) be the third derivative of -c + 9/160*c**5 + 0 + 1/16*c**3 - 5/32*c**4 + 6*c**2. Factor q(n).
3*(n - 1)*(9*n - 1)/8
Find k, given that -44*k - 125*k**2 + 82*k + 151*k + 5*k**3 + 41*k = 0.
0, 2, 23
Let t be 16/(-88)*(-429)/156. Let 1/4*l**3 + 3/4*l**4 - 3/4*l**2 + 1/4*l**5 + 0 - t*l = 0. Calculate l.
-2, -1, 0, 1
Let b(o) be the third derivative of o**5/30 + 19*o**4/12 + 6*o**3 + 8*o**2 - 50*o. Factor b(q).
2*(q + 1)*(q + 18)
Let o(b) = -26*b**2 + 1073*b - 3274. Let g(v) = -9*v**2 + 357*v - 1092. Let u(p) = 17*g(p) - 6*o(p). Let u(f) = 0. What is f?
3, 120
Let a(v) be the second derivative of v**5/20 - 35*v**4/6 + 133*v**3/6 + 102*v**2 + 8*v + 4. Solve a(w) = 0.
-1, 3, 68
Let a = -201141 - -2212591/11. Factor -18/11*m + 2/11*m**2 + a.
2*(m - 5)*(m - 4)/11
Let c = -873 - -773. Let h be ((-4)/250*-5)/((-5)/c). Solve -44/5*f**3 - h*f**2 + 44/5*f + 8/5 = 0.
-1, -2/11, 1
Let v(y) = 1461*y - 32140. Let x be v(22). Factor -2/11*a**x + 14/11 + 12/11*a.
-2*(a - 7)*(a + 1)/11
Let f be (0 - 8)*3/(-6). Let w(g) be the first derivative of 25*g**4 - 12*g**f - 14 - 12*g**4. Determine h so that w(h) = 0.
0
Determine c, given that 4*c**3 + 503*c + 4*c**4 - 1324*c + 609*c - 328*c**2 + 532*c = 0.
-10, 0, 1, 8
Let a be ((-5)/28 - (-90)/(-240)*-2)/((-10)/(-7)). Factor -2/15*l**2 + 2/5*l + 0 - a*l**3 + 2/15*l**4.
2*l*(l - 3)*(l - 1)*(l + 1)/15
Suppose -2 = -81*c + 82*c + 2*l, -5*l - 5 = -2*c. Factor 1/2*n**3 - 3/2*n**2 + c*n + 0.
n**2*(n - 3)/2
Let l(i) be the third derivative of -i**6/420 + 81*i**4/28 + 486*i**3/7 - 12*i**2 + 87. Solve l(c) = 0.
-9, 18
Let y(z) be the first derivative of z**5/3 - 8*z**4 + 203*z**3/3 - 637*z**2/3 - 6892. Find t, given that y(t) = 0.
0, 26/5, 7
Let z(n) be the third derivative of -233*n**2 - 1/270*n**5 + 0*n + 2/27*n**4 + 0*n**3 + 0. Solve z(y) = 0.
0, 8
Suppose -18/7*q**2 - 1/7*q**3 + 0 - 81/7*q = 0. What is q?
-9, 0
Let f(n) be the second derivative of n**4/24 - 46*n**3/3 - 185*n**2/4 - 7*n - 6. Solve f(q) = 0 for q.
-1, 185
Let q = -55 + 59. Factor q*n**2 - 223*n**3 + 113*n**3 + 114*n**3.
4*n**2*(n + 1)
Suppose -2*c = 5*s - 31, 4*s - 10 = 3*c + 1. Let v(z) be the second derivative of -1/3*z**4 - 18*z + 8/3*z**c + 0*z**2 + 0. Factor v(q).
-4*q*(q - 4)
Let m(w) be the second derivative of w**9/7560 - w**7/350 - 2*w**6/225 - w**5/100 - 17*w**3/6 + 17*w. Let u(d) be the second derivative of m(d). Factor u(h).
2*h*(h - 3)*(h + 1)**3/5
Let w(a) be the second derivative of -7*a**4/6 + 242*a**3/3 + 105*a**2 - 5961*a. Suppose w(m) = 0. What is m?
-3/7, 35
Let m be 623/178*24/196. Solve 15987/7 - 438/7*q + m*q**2 = 0 for q.
73
Let p(j) = -77*j**3 - 333*j**2 - 174*j - 61. Let s(b) = -39*b**3 - 165*b**2 - 90*b - 30. Let c(a) = 6*p(a) - 13*s(a). Determine n, given that c(n) = 0.
-2, -1, -4/15
Let n(t) be the second derivative of t**7/56 - 7*t**6/30 + 51*t**5/80 - 7*t**4/24 - 5*t + 33. Solve n(m) = 0 for m.
0, 1/3, 2, 7
Let i = -20536 + 20536. Let u(q) be the third derivative of i + 0*q - 1/6*q**3 - q**2 + 7/72*q**4 - 1/36*q**5 + 1/360*q**6. Factor u(y).
(y - 3)*(y - 1)**2/3
Suppose -18*r - 5*p = -17*r + 20, -3*r - 12 = -p. Let f be ((-2)/r)/((-252)/(-40) + -6). Determine j so that 6*j + 6*j**3 + 4/3*j**4 + 28/3*j**2 + f = 0.
-2, -1, -1/2
Let k be (38/7 + -2)/(774/215516). Let g = k - 950. Factor -g*d**2 - 8/9 + 8/9*d**3 + 14/3*d.
2*(d - 4)*(d - 1)*(4*d - 1)/9
Suppose -39*a - 66 = -61*a. Let n(v) be the first derivative of -3/8*v**a + 15/32*v**4 + 3/10*v**5 - 3/8*v - 15/16*v**2 + 13. Find i, given that n(i) = 0.
-1, -1/4, 1
Factor 51 + 5*w**2 + 211 - 80 - 455*w + 220 + 48.
5*(w - 90)*(w - 1)
Let l(x) = 2*x**5 + 4*x**4 - x**2 - x. Let d(j) = 75*j**5 + 160*j**4 + 15*j**3 - 55*j**2 - 55*j. Let q(p) = d(p) - 35*l(p). Factor q(k).
5*k*(k - 1)*(k + 1)*(k + 2)**2
Let s = 47302/9 + -520088/99. Determine d so that 0*d + 0 + 4/11*d**2 - s*d**3 + 2*d**4 = 0.
0, 2/11, 1
Let k(m) be the second derivative of m**7/42 + 17*m**6/30 + 33*m**5/10 + 6*m**4 - 2325*m. Factor k(s).
s**2*(s + 2)*(s + 3)*(s + 12)
Let 9*o**2 + 2368*o - 56*o - 6*o**3 - 24843 + 496*o = 0. What is o?
-49/2, 13
Let h = -335307/4 - -83828. Factor 0 - h*g - 35/4*g**3 - 9/4*g**4 + 49/4*g**2.
-g*(g - 1)*(g + 5)*(9*g - 1)/4
Let a(g) be the second derivative of g**4/6 - 81*g**3 + 242*g**2 - 1471*g. Let a(d) = 0. What is d?
1, 242
Let y(u) = -86*u - 7 - 90*u + 151*u. Let g(w) = -w**2 - 75*w - 18. Let s(r) = 2*g(r) - 7*y(r). Let s(n) = 0. What is n?
-1/2, 13
Let c = -25 - -31. Suppose -15 = -c*j + 3*j. Factor -j*b**3 + b**3 + 33 - 44*b + 28*b**2 - 6 - 7.
-4*(b - 5)*(b - 1)**2
Factor -596*z + 189*z**3 - 193*z**3 + 312*z**2 + 2200 - 3112.
-4*(z - 76)*(z - 3)*(z + 1)
Let u be (-32 + 9432/234)/((-2)/(-13)). Let u*n**2 - 1/4*n**5 + 9/2*n**4 + 0 + 0*n - 27*n**3 = 0. Calculate n.
0, 6
Solve -164/3 - 109/2*c + 1/6*c**2 = 0.
-1, 328
Let u(k) be the second derivative of -k**7/21 + 29*k**6/45 - 62*k**5/45 - 146*k**4/27 - 112*k**3/27 + 3515*k. Solve u(c) = 0 for c.
-2/3, 0, 4, 7
Let o(f) be the second derivative of -f**7/252 + 16*f**6/45 + 167*f**5/30 - 674*f**4 - 25200*f**3 - 360000*f**2 + 2386*f. Factor o(s).
-(s - 50)**2*(s + 12)**3/6
Suppose u - 970 = -6*h + 2906, 6 = -3*h. Let -2/3*t**3 + u + 36*t**2 - 648*t = 0. What is t?
18
Suppose -53*n - 16620 = -5013. Let r = n - -221. Factor -2/9*a**3 + 2/9*a**r + 4/9*a + 0.
-2*a*(a - 2)*(a + 1)/9
Let d(z) be the second derivative of -z**5/360 - 17*z**4/144 - 5*z**3/6 - 53*z**2/2 - 7*z. Let n(m) be the first derivative of d(m). Factor n(t).
-(t + 2)*(t + 15)/6
Determine i, given that -2/5*i**2 + 6/5*i + 4 = 0.
-2, 5
Suppose -m - 16 = -5*i, -5*m + 3*i + 25 = -i. Let u(s) = -10*s + 90. Let r be u(m). Solve 3/2*f**2 + r - 1/2*f**5 - 3/2*f**4 - 1/2*f**3 + f = 0 for f.
-2, -1, 0, 1
Let x(o) = 4*o**3 + 1166*o**2 + 3464*o + 2296. Let n(l) = 8*l**3 + 2333*l**2 + 6930*l + 4592. Let c(k) = 6*n(k) - 13*x(k). Let c(v) = 0. Calculate v.
-287, -2, -1
Suppose 76 + 200 = -2*k. Let z = k - -288. Solve -8 - 36*g + 28*g**2 - 301/2*g**4 + z*g**3 + 147/4*g**5 = 0.
-2/7, 2/3, 2
Let x = 379 - 367. Let g be (5*20/(-750))/((-2)/x). Factor 0*n**4 + 0*n**2 - g*n**5 + 0*n**3 + 0*n + 0.
-4*n**5/5
Let i be -7 + 1230/120 - (-5 - (-4 - (-25)/(-20))). Factor 4/3*d - 16/3 + 10/3*d**2 + 2/3*d**i.
2*(d - 1)*(d + 2)*(d + 4)/3
Let j(s) = s**3 + s**2 - 7*s - 7. Suppose -22 = -6*b - 34. Let a be j(b). Factor -1/4*f**a + 0*f**2 + 1/4*f**4 + 0*f + 0.
f**3*(f - 1)/4
Let m be (-1)/(-149) - 6318691/(-1302707). Let -12/7*r + 6/7*r**3 + m*r**2 + 0 = 0. What is r?
-6, 0, 1/3
Let k(n) be the first derivative of -90 + 192*n**2 + 1024*n + 16*n**3 + 1/2*n**4. Solve k(h) = 0.
-8
Let i(v) be the first derivative of -v**6/24 - v**5/12 + 25*v**4/12 - 20*v**3/3 - 59*v**2