ive of -1/45*d**5 + 1/189*d**7 + 0 + 0*d**2 - 3*d + 0*d**6 + 0*d**4 + 1/27*d**a. Factor k(j).
2*j*(j - 1)**2*(j + 1)**2/9
Let v = 301 - 252. Let a be 24/(-14)*v/(-266). Factor -a*h**2 - 2/19*h**3 - 2/19 - 6/19*h.
-2*(h + 1)**3/19
Let p = -397 + 1589/4. Let r = -195 - -198. Factor -1/4 + p*t + 1/4*t**2 - 1/4*t**r.
-(t - 1)**2*(t + 1)/4
Let r = 12 - 7. Let q(p) = 9*p - 2*p + 1 - 3*p - 5*p. Let k(o) = -2*o**3 + 4*o**2 - 3*o + 1. Let g(a) = r*q(a) - k(a). Find l, given that g(l) = 0.
-1, 1, 2
Let z(u) be the first derivative of -u**4/8 + 5*u**3/3 - 13*u**2/4 - 12*u + 1012. Factor z(o).
-(o - 8)*(o - 3)*(o + 1)/2
Let v(f) be the second derivative of -5*f**5/24 - 655*f**4/36 - 521*f**3/36 - 13*f**2/3 - 4*f - 180. Determine d, given that v(d) = 0.
-52, -1/5
Let a(c) = -c**2 + 27*c - 46. Let t(j) = -16*j - 85. Let s be t(-5). Let k(z) = 25*z - 45. Let i(d) = s*a(d) + 4*k(d). Determine o so that i(o) = 0.
2, 5
Let l(y) be the first derivative of -2*y**3/15 - 16*y**2/5 - 22*y - 2340. Factor l(h).
-2*(h + 5)*(h + 11)/5
Suppose 26*z - 18 = 26 + 8. Let 1/2*v + 0 - v**z + 1/2*v**3 = 0. Calculate v.
0, 1
Let b(g) = -g**3 - g**2 - 3*g + 1. Let i(c) = 7*c**3 + 9*c**2 + 20*c - 6. Let r(h) = 6*b(h) + i(h). Suppose r(t) = 0. Calculate t.
-2, -1, 0
Suppose 825*y - 5460 = -540*y. Let 2/3*w**3 - 2/3*w + 0 + 2/3*w**2 - 2/3*w**y = 0. Calculate w.
-1, 0, 1
Let y(u) = -7*u - 917. Let j(f) = -f - 108. Let c(l) = 42*j(l) - 5*y(l). Let t be c(7). Determine p, given that -4/5*p + t - 2/5*p**2 = 0.
-2, 0
Determine x, given that -28*x**4 + 84*x - 146*x**3 - 11*x**5 + 106*x - 2*x**5 - 46*x + 28*x**2 + 15*x**5 = 0.
-4, -1, 0, 1, 18
Let b(t) = -t**2. Suppose -j + 5*f + 29 = 5, 0 = 2*j - 2*f - 16. Let k(g) = g**5 + 4*g**4 + g**3 - 17*g**2 - 4*g + 8. Let o(c) = j*k(c) - 28*b(c). Factor o(h).
4*(h - 1)**2*(h + 2)**3
Let s be ((-120)/6375*17)/((-1)/5 - 0). Factor -s - 33282/5*g**2 + 1032/5*g.
-2*(129*g - 2)**2/5
Let f(x) = -8*x**4 - 24*x**3 - 218*x**2 - 156*x - 62. Let m(p) = -13*p**4 - 49*p**3 - 403*p**2 - 311*p - 124. Let y(n) = -5*f(n) + 3*m(n). Factor y(r).
(r - 31)*(r + 1)**2*(r + 2)
Let b(f) be the third derivative of f**2 + 0*f + 0*f**3 + 47 - 8*f**4 + 56/15*f**5 + 35/48*f**8 - 118/15*f**7 + 53/6*f**6. Let b(u) = 0. Calculate u.
-2/5, 0, 4/7, 6
Find j, given that 118936 - 4*j**2 + 313*j - 125336 + 7*j = 0.
40
Factor -1/5*h**2 - 12/5*h + 161.
-(h - 23)*(h + 35)/5
Let f(w) = 62*w**2 - 755*w + 1337. Let x(j) = 5*j**2 - 63*j + 112. Let n(q) = 6*f(q) - 75*x(q). Factor n(y).
-3*(y - 63)*(y - 2)
Let j(f) be the first derivative of -5/3*f**2 + 51 - 5/18*f**3 + 10/3*f + 5/24*f**4. Factor j(a).
5*(a - 2)*(a - 1)*(a + 2)/6
Let p(f) be the second derivative of 0*f**2 - 7/12*f**4 + 2/5*f**5 - 1/6*f**3 + 57*f + 2. Solve p(t) = 0 for t.
-1/8, 0, 1
Let y(o) be the second derivative of o**6/135 - o**5/15 + 11*o**4/54 - 2*o**3/9 + 2072*o. Factor y(k).
2*k*(k - 3)*(k - 2)*(k - 1)/9
Let b = -11 - 16. Let s be (-36)/(-48)*(-8)/b. Factor -s*u**2 - 16/9*u + 8/3 + 2/9*u**3.
2*(u - 2)**2*(u + 3)/9
Let w(b) be the second derivative of b**4/78 - 19*b**3/13 + 56*b**2/13 - 784*b. Let w(a) = 0. What is a?
1, 56
Let d(i) = -6*i**2 - 29*i - 9. Let z(y) = -12*y**2 - 62*y - 18. Let b = 623 - 628. Let c(t) = b*d(t) + 2*z(t). Determine m so that c(m) = 0.
-3, -1/2
Let v(g) = -68*g - 58*g + 53*g - 10*g**2 - 8*g**2 + 19*g**2 + 32. Let m(n) = 2*n**2 - 72*n + 30. Let z(o) = -5*m(o) + 4*v(o). Factor z(t).
-2*(t - 11)*(3*t - 1)
Let z = -205763 + 1851869/9. Determine g, given that 34/9*g**2 - 34/9 - z*g + 2/9*g**3 = 0.
-17, -1, 1
Let k = -26 + 25. Let j be 14 - (-7 + 2/1 - k). Solve 2*o**2 + j*o - 6 - 3 - 9 + 34 = 0 for o.
-8, -1
Suppose 0 = 685*j - 737*j. Let y(q) be the third derivative of j - 1/140*q**5 + 4*q**2 + 3/56*q**4 + 0*q - 1/7*q**3. Solve y(w) = 0 for w.
1, 2
Let p be (-22)/(-12)*(-114)/(-1254). Let u(n) be the first derivative of p*n**6 - 38 - 2/3*n**3 + 1/5*n**5 + 1/2*n**2 - 1/2*n**4 + n. Solve u(v) = 0.
-1, 1
Let a(u) = 9*u**5 + 209*u**4 + 1586*u**3 + 3479*u**2 - 2880*u + 512. Let l(h) = -h**4 + h**3 - h**2. Let v(p) = 2*a(p) - 2*l(p). Factor v(b).
2*(b + 8)**3*(3*b - 1)**2
Let q(i) be the third derivative of 1/160*i**6 + 0*i - 17/32*i**4 - 7/80*i**5 - 9/8*i**3 - 9 + 2*i**2. Factor q(l).
3*(l - 9)*(l + 1)**2/4
Factor -2/7*k**2 + 0 - 58/7*k + 58/7*k**3 + 2/7*k**4.
2*k*(k - 1)*(k + 1)*(k + 29)/7
Let l(v) be the third derivative of -v**8/221760 + v**6/880 + 8*v**5/15 - 53*v**2. Let g(j) be the third derivative of l(j). Determine c, given that g(c) = 0.
-3, 3
Let q(j) be the second derivative of j**6/70 + 177*j**5/140 - 15*j**4/7 - 2436*j. Let q(s) = 0. Calculate s.
-60, 0, 1
Let c(o) be the third derivative of o**5/30 - o**4/24 - o**3/6 + 280*o**2. Let y(f) = 42*f + 102. Let z(w) = 2*c(w) + y(w). Solve z(k) = 0 for k.
-5
Let -2*g**3 + 63*g - 165460*g**2 + 165454*g**2 - 7*g = 0. What is g?
-7, 0, 4
Let j(n) be the second derivative of -n**7/84 - 6*n**6/5 - 103*n**5/20 + 3*n**4 + 69*n**3/4 - 2*n - 1090. Find c such that j(c) = 0.
-69, -3, -1, 0, 1
Let j = -1018/515 - -1224/515. Factor -42/5 - j*o**2 + 44/5*o.
-2*(o - 21)*(o - 1)/5
Find g such that -105*g**2 + 476*g - 241*g - 229*g = 0.
0, 2/35
Let u(z) = 53*z**2 + 450*z - 243. Let j be u(-9). Factor 0*d**3 + 4/9*d**2 + 0 - 4/9*d**4 + j*d.
-4*d**2*(d - 1)*(d + 1)/9
Let s(g) be the first derivative of -3*g**4/8 - 322*g**3 - 3855*g**2/4 - 963*g + 2210. Factor s(h).
-3*(h + 1)**2*(h + 642)/2
Find d, given that 1/8*d**2 + 135/2 + 12*d = 0.
-90, -6
Let n(w) = 9*w**2 - 4*w + 2. Suppose 3*i - q - 51 = -4*q, 0 = i + 2*q - 19. Let s(k) = -2*k**2 + 2. Let y(l) = i*s(l) + 3*n(l). Factor y(g).
-3*(g - 2)*(g + 6)
Let q(t) = -8*t**2 - 20868*t - 27206658. Let d(x) = -34*x**2 - 83474*x - 108826633. Let y(k) = -2*d(k) + 9*q(k). Factor y(o).
-4*(o + 2608)**2
Let k(m) be the second derivative of m**6/45 + 3*m**5/10 + 3*m**4/2 + 3*m**3 - 221*m - 9. Let k(y) = 0. Calculate y.
-3, 0
Factor -56/9*r - 2/9*r**2 - 88/3.
-2*(r + 6)*(r + 22)/9
Suppose 705 - 684 = -3*v - 3*n, -22*v + 4*n + 28 = 0. Factor 4/3*g + 2/3 - 2/3*g**4 - 4/3*g**3 + v*g**2.
-2*(g - 1)*(g + 1)**3/3
Suppose -2*t + 5*t - 7 = 4*o, 2 = o. Find w, given that -70*w + 125*w**2 - 122*w**2 - t*w**3 - 78*w**2 = 0.
-14, -1, 0
Let g(i) = -27*i**3 - 294*i**2 - 3942*i - 14521. Let p(u) = 5*u**3 + 59*u**2 + 788*u + 2902. Let f(w) = -6*g(w) - 33*p(w). Factor f(y).
-3*(y + 8)**2*(y + 45)
Let a(c) be the first derivative of -22/15*c**3 - 2*c**2 - 1/10*c**4 + 138 + 0*c. Let a(z) = 0. What is z?
-10, -1, 0
Let n be ((-30)/(-5) - 5)*-1 - 2/(-2). Let p(b) be the third derivative of -2/3*b**3 + n*b + 5/6*b**4 + 0 - 14*b**2 - 2/15*b**5 - 4/15*b**6. Solve p(t) = 0.
-1, 1/4, 1/2
Let r(f) be the second derivative of -f**7/14 - 8*f**6/5 - 66*f**5/5 - 101*f**4/2 - 199*f**3/2 - 105*f**2 + f - 2748. Let r(a) = 0. What is a?
-7, -5, -2, -1
Let y(l) = l**2 - 14*l - 2. Let j(c) = -9 - 16*c**2 + 17*c**2 - 55*c + 4*c**2. Let x(i) = -4*j(i) + 18*y(i). Factor x(d).
-2*d*(d + 16)
Let j(g) be the first derivative of -46 - 8/7*g - 2/21*g**3 - 4/7*g**2. Factor j(f).
-2*(f + 2)**2/7
Let s = 69 - 61. Suppose -s = u - 10. Factor u*v + 2/3 + 2*v**2 + 2/3*v**3.
2*(v + 1)**3/3
Let s be (-15)/(45/24) + 11. Let y(l) be the first derivative of -4/3*l**s + 12 + 0*l - l**2 - 1/2*l**4. Find q such that y(q) = 0.
-1, 0
Factor -446 + 150*i**3 - 965*i**2 - 1979 - 5*i**4 + 1145 - 2400*i.
-5*(i - 16)**2*(i + 1)**2
Let w(v) = 5*v**2 - 40*v. Let p(k) = -20*k**2 + 160*k. Suppose 0 = 7*f - 14*f + 14. Let n(j) = f*p(j) + 9*w(j). What is s in n(s) = 0?
0, 8
Let t(c) be the second derivative of 45*c**7/14 + 69*c**6 - 309*c**5/4 - 395*c**4/3 + 790*c**3/3 - 160*c**2 - 62*c - 30. Determine m so that t(m) = 0.
-16, -1, 1/3, 2/3
Suppose 4*m + 20 = 0, m + 35 + 135 = 3*g. Factor 3*u**3 - g*u - 2 + 51*u + 2 + 6*u**4 - 7*u**4.
-u*(u - 2)**2*(u + 1)
Let u = 1235 - 1231. Suppose 0 = u*c + 6 + 6, 3*g = -3*c. Let 1/5*h**g + 0 + 1/5*h**2 - 1/5*h**4 - 1/5*h = 0. What is h?
-1, 0, 1
Let p(w) be the first derivative of w**3/12 - 71*w**2/4 - 2518. Factor p(i).
i*(i - 142)/4
Let g(q) = 2*q**2 + 346*q + 12452. Let s be g(-51). What is u in -8*u**3 + 2 + 3/2*u**2 - 7/2*u**4 + s*u = 0?
-2, -1, -2/7, 1
Let v = -3787684/5 + 757539. Factor -11/5 + 1/5*n + v*n**2 - 1/5*n**3.
-(n - 11)*(n - 1)*(n + 1)