 + 0*p**2 - 212*p - 2/45*p**6. Solve j(l) = 0 for l.
-2, -1, 0, 1
Factor 11/5*i**3 + 51/5*i**2 - 1/5*i**4 + 14 - 131/5*i.
-(i - 14)*(i - 1)**2*(i + 5)/5
Let k(w) be the second derivative of -w**4 - 50/3*w**3 - 86*w - 16*w**2 + 0. Factor k(h).
-4*(h + 8)*(3*h + 1)
Let r be (-2)/(9/(-54)*4) + 42 + -41. Factor -8/3*k + 5/6*k**r - 2/3 - 5/2*k**2 + 1/3*k**3.
(k - 2)*(k + 1)**2*(5*k + 2)/6
Let z = 882 - 880. Factor -18*s + s**z - 109 - 6*s**2 + 123*s + 9.
-5*(s - 20)*(s - 1)
Let s(a) be the first derivative of -a**6/40 + 7*a**5/20 - 11*a**4/8 + 5*a**3/2 + 19*a**2/2 + 39. Let t(j) be the second derivative of s(j). Factor t(h).
-3*(h - 5)*(h - 1)**2
Let n be 30 + -1 - 36519/2331. Factor 4/3*s**3 - 28/3*s - n + 16/3*s**2.
4*(s - 2)*(s + 1)*(s + 5)/3
Suppose 875 - 435 = 220*l. Factor -14/11*y**l + 30/11*y - 16/11.
-2*(y - 1)*(7*y - 8)/11
Suppose 19 - 42 = -r - 2*i, -2*r = -4*i - 6. Suppose 0 = -3*j + l + 31 - r, -12 = 4*l. Let 9*o**2 - j*o - 7*o + 2 + 9*o**2 = 0. What is o?
1/3
Let l be 493/(-58) - 37/(-2). Let j(t) be the second derivative of l*t - 2/15*t**6 + 0*t**2 - 1/3*t**3 + 0*t**5 + 1/3*t**4 + 1/21*t**7 + 0. Factor j(r).
2*r*(r - 1)**3*(r + 1)
Let v = -36685 + 36703. Let y(h) be the first derivative of -15/4*h**4 + v + 5*h**3 + h**5 + 0*h - 5/2*h**2. Factor y(n).
5*n*(n - 1)**3
Let p(k) = k**2 - 9*k + 20. Let m be p(4). Determine j, given that m*j**2 + 5*j**2 + 12 + 3*j**3 + 28*j + 5*j**2 + 10*j**2 + j**3 = 0.
-3, -1
Let p = 8923 + -35643/4. Let n(g) be the first derivative of -p*g - 26 - 7/4*g**2 - 1/12*g**3. Determine t so that n(t) = 0.
-7
Let p(h) be the third derivative of 71*h + 0 + 1/3*h**4 + 0*h**3 - 2*h**2 - 1/25*h**5 - 1/150*h**6. Factor p(d).
-4*d*(d - 2)*(d + 5)/5
Let g be ((-198)/(-72) - 2)/((-2)/(-2560)). Let z be ((-36)/(-10))/(g/75 + -10). Factor 3/7*d - 3/7*d**3 + z - 9/7*d**2.
-3*(d - 1)*(d + 1)*(d + 3)/7
Let i(k) be the second derivative of -3*k**5/100 - 3*k**4/4 - 28*k**3/5 - 18*k**2 + 2*k + 2791. Factor i(m).
-3*(m + 2)*(m + 3)*(m + 10)/5
Let c(h) be the third derivative of h**7/252 - 7*h**6/48 - h**5/72 + 35*h**4/48 - 669*h**2. Factor c(o).
5*o*(o - 21)*(o - 1)*(o + 1)/6
Let x be ((-35)/(-63))/((-24)/(-18)). Let m(n) be the second derivative of -20*n + 0 - x*n**4 - 5*n**2 - 5/2*n**3. Determine j, given that m(j) = 0.
-2, -1
Suppose -8*z + 10*z - 10 = 0. Suppose -2*v + 67 = z*m - 0*v, 20 = -5*v. Factor 42*f - m*f - 4*f**3 - 23*f.
-4*f*(f - 1)*(f + 1)
Suppose -5*d = -3*l + 227, 5*l + 0*d - 2*d = 353. Let n = l + -65. Factor -5*g**2 + 3*g**2 - n*g**2 - 3*g**3 - 3*g.
-3*g*(g + 1)**2
Let c(f) be the first derivative of f**3/12 + 3*f**2/2 + 11*f/4 + 1056. Suppose c(u) = 0. What is u?
-11, -1
Let a = 914 + -894. Let c be (-13)/(-39) + a/84. Factor c*j + 0 - 2/7*j**2.
-2*j*(j - 2)/7
Let a(i) = -2*i**2 - 50*i + 787. Let u = -364 - -361. Let h(o) = o**2 + 52*o - 786. Let d(f) = u*h(f) - 2*a(f). Factor d(l).
(l - 28)**2
Determine w, given that -29970*w + 492*w**2 + 15279*w - 2*w**4 + 160*w**3 + 166 + 15187*w = 0.
-1, 83
Let u(i) be the third derivative of i**8/420 + 466*i**7/525 + 897*i**6/10 - 4563*i**5/25 - i**2 - 1880*i. Factor u(g).
4*g**2*(g - 1)*(g + 117)**2/5
Let n(f) be the first derivative of 3*f**5/25 + 81*f**4/20 + 42*f**3/5 - 60*f**2 + 816. Determine z, given that n(z) = 0.
-25, -4, 0, 2
Let a = -119915/14 - -8566. Let k(n) be the second derivative of 324/7*n**2 + 23*n + a*n**4 + 0 + 3/140*n**5 + 54/7*n**3. Factor k(s).
3*(s + 6)**3/7
Let u(g) = -g**3 - 8*g**2 + 11*g + 21. Let p be u(-9). Let y(x) = x**2 + 10*x + 13. Let r be y(-9). Factor r*c**2 - 2 - 11*c - 16*c**p + 27*c - 2.
-4*(c - 1)*(c + 1)*(4*c - 1)
Suppose 0 = 376*d - 22313 + 21185. Factor -2/3 - 1/3*p**d + 1/3*p + 2/3*p**2.
-(p - 2)*(p - 1)*(p + 1)/3
Suppose c - 692 = -3*a, 2*c = a - 148 - 78. Suppose 0 = 4*d + a - 242. Determine q, given that 36/5*q**d + 33/5*q**2 - 21/5*q - 18/5 = 0.
-1, -2/3, 3/4
Suppose c + 77 = -60. Let l = c + 141. Let -5*j**2 + 11*j**3 + j**3 + 201*j**5 - 197*j**5 + j**2 - 12*j**l = 0. What is j?
0, 1
Suppose -78 - 182 = -65*l. Let v(u) be the third derivative of -4*u**2 + 0*u - u**3 + 0 + 5/24*u**l + 1/60*u**5. Solve v(w) = 0.
-6, 1
Let a(j) be the third derivative of j**8/1512 - 8*j**7/135 + 419*j**6/270 - 28*j**5/5 + 27*j**4/4 + 435*j**2. Factor a(o).
2*o*(o - 27)**2*(o - 1)**2/9
What is g in -1604/5*g**2 + 1404/5*g**3 - 418/5*g**4 - 18 - 2*g**5 + 718/5*g = 0?
-45, 1/5, 1
Let q(h) be the third derivative of 25/39*h**4 - 11/195*h**5 + 0*h - 296*h**2 + 0 - 8/3*h**3 - 1/780*h**6. Find x such that q(x) = 0.
-26, 2
Let c(w) = 5*w**3 + 59*w**2 - 72*w - 16. Let i(p) = -4*p**3 - 58*p**2 + 69*p + 14. Let k(h) = 7*c(h) + 8*i(h). Solve k(l) = 0 for l.
0, 1, 16
Let s = -93010 - -93010. Factor 1/9*o**4 - 5/9*o - 7/9*o**3 + s + 11/9*o**2.
o*(o - 5)*(o - 1)**2/9
Let k(q) be the second derivative of 2*q + 2/3*q**3 + 13 + 0*q**2 - 2/5*q**5 + 7/6*q**4. Suppose k(y) = 0. What is y?
-1/4, 0, 2
Let k(f) be the third derivative of f**8/1008 - 47*f**7/630 + 91*f**6/360 - f**5/4 + 125*f**2 + 2. Let k(m) = 0. What is m?
0, 1, 45
Let n(r) be the third derivative of -7*r**6/1980 - 13*r**5/330 - 5*r**4/44 - 47*r**3/6 + 9*r**2 - 9. Let z(a) be the first derivative of n(a). Factor z(u).
-2*(u + 3)*(7*u + 5)/11
Suppose 16*x - 107 - 53 = 0. Suppose -3*v**2 + v - 4 - 15*v - x*v - 32 - v**2 = 0. What is v?
-3
Let k(o) be the third derivative of -o**5/300 + 7*o**4/24 - 62*o**3/15 - 12*o**2 - 2*o + 39. What is q in k(q) = 0?
4, 31
Let a = -203 - -263. Suppose -46*o + a = -26*o. What is t in o + 5/2*t - 7/2*t**5 - 22*t**2 + 21*t**3 - t**4 = 0?
-3, -2/7, 1
Let y(o) be the third derivative of o**8/9240 + o**7/770 + o**6/660 - o**5/66 - 47*o**3/3 - 226*o**2. Let z(c) be the first derivative of y(c). Factor z(j).
2*j*(j - 1)*(j + 2)*(j + 5)/11
Factor 1275*y - 25 - 29045*y**3 + 899*y**2 + 1103*y - 138*y + 29135*y**3.
(y + 5)**2*(90*y - 1)
Factor -84/5 - 3/5*n**2 + 87/5*n.
-3*(n - 28)*(n - 1)/5
Let q = -547601/30 - -109525/6. Find y, given that -q*y**4 - 76/5 + 16*y**2 + 72/5*y**3 - 72/5*y = 0.
-1, 1, 19
Let l(n) = -112 + 253 - 4*n - 136 - n**2. Let m(c) = 2*c + 1. Let h(k) = 2*l(k) + 6*m(k). Factor h(v).
-2*(v - 4)*(v + 2)
Factor 116*u**2 - 332*u + 107 - 268 + 113.
4*(u - 3)*(29*u + 4)
Let m(z) be the first derivative of 6*z**5 + 91*z**4 + 2*z**3 - 248*z**2 + 96*z - 8929. Suppose m(d) = 0. Calculate d.
-12, -4/3, 1/5, 1
Let p(q) be the first derivative of 5/7*q**2 - 12/7*q + 2/21*q**3 + 134. Factor p(d).
2*(d - 1)*(d + 6)/7
Let m(k) be the third derivative of -k**6/432 + k**5/36 + 25*k**4/144 - 13*k**3 + 3*k**2 - 11*k. Let y(j) be the first derivative of m(j). Factor y(s).
-5*(s - 5)*(s + 1)/6
Suppose y - 3*l - 7 = -13, 24 = -2*y + 2*l. Let s = y - -20. Factor -1/3*h**3 + 0 - 2/3*h**4 - 1/3*h**s + 0*h + 0*h**2.
-h**3*(h + 1)**2/3
Let w(k) be the first derivative of 0*k**2 + 13 + 12*k - 1/2*k**3 - 1/8*k**4. Let a(g) be the first derivative of w(g). Factor a(j).
-3*j*(j + 2)/2
Let n(t) = 33*t**2 - 42*t + 57. Let a(p) = 14*p**2 - 17*p + 23. Let v be (-82)/6 - 355/(-213). Let i(h) = v*a(h) + 5*n(h). Solve i(k) = 0 for k.
-3, 1
Factor 10536115601250/11 + 27542700/11*j**2 + 12120/11*j**3 + 27818127000/11*j + 2/11*j**4.
2*(j + 1515)**4/11
Let p(u) be the third derivative of -5/2*u**3 + 0*u - 64*u**2 + 1/42*u**7 + 1/6*u**5 - 5/6*u**4 + 1/6*u**6 + 0. Factor p(h).
5*(h - 1)*(h + 1)**2*(h + 3)
Let g(f) be the third derivative of 2/15*f**5 + 1/120*f**6 + 1/2*f**4 + 13*f**2 + 2 + 0*f + 0*f**3. Suppose g(c) = 0. Calculate c.
-6, -2, 0
Suppose -9 = 5*x - 19. Suppose x*q + 1 = 3. Let -f**2 + 4*f + q + 3*f**2 - 4 - 3 = 0. What is f?
-3, 1
Factor -1/2*o**3 + 12*o + 54 - 17/2*o**2.
-(o - 3)*(o + 2)*(o + 18)/2
Let -1374 + 137*y - 182*y**2 + 129 + 87*y**2 - 567*y + 90*y**2 = 0. Calculate y.
-83, -3
Let t(o) be the first derivative of o**7/105 + o**6/10 - 8*o**5/15 - o**2/2 - 61*o - 47. Let x(r) be the second derivative of t(r). Factor x(q).
2*q**2*(q - 2)*(q + 8)
Let z(v) be the third derivative of -v**7/14 + 25*v**6/24 + 7*v**5/4 - 125*v**4/24 - 15*v**3 - 6*v**2 - 68*v - 2. Let z(w) = 0. What is w?
-1, -2/3, 1, 9
Let k(p) be the second derivative of p**6/240 - 41*p**5/160 - 133*p**4/96 + 41*p**3/48 + 33*p**2/4 + 2*p - 96. Let k(u) = 0. Calculate u.
-3, -1, 1, 44
Suppose -26 = -5*v - w, 0 = 3*v