 + 30*k + 1/10*k**6 + 3/20*k**5 + 3*k**2 - 3/4*k**4. Determine o, given that t(o) = 0.
-2, -1, 1
Let s(w) be the second derivative of w**6/20 - 9*w**5/20 + 3*w**4/2 - 5*w**3/2 + 9*w**2/4 + 29*w + 2. Factor s(o).
3*(o - 3)*(o - 1)**3/2
Let c(r) = r**3 - 6*r**2 - 8*r + 11. Let u be c(7). Suppose p = -u*p - 3*m + 5, 3*p + 8 = -4*m. Factor i**5 - 13*i**4 - 3*i - 2*i**2 + 2*i + 33*i**4 - 18*i**p.
i*(i - 1)*(i + 1)**3
Let w be 3*(4/12)/(-1)*-3. Let y(g) be the second derivative of 7/16*g**w + 0 + 9/32*g**4 - 3/8*g**2 - 3*g. Factor y(t).
3*(t + 1)*(9*t - 2)/8
Let t = -60734/7 - -8678. Suppose 1/7*i**2 - t*i + 36/7 = 0. Calculate i.
6
Factor -2/21*t**3 - 10/7*t - 6/7 - 2/3*t**2.
-2*(t + 1)*(t + 3)**2/21
Solve -3*j**2 + 5 - 18 - 39*j - 20 + 7 - 10 = 0 for j.
-12, -1
Let x(f) be the third derivative of 10*f**7/21 + 4*f**6/3 - 28*f**5/5 - 80*f**4/3 - 128*f**3/3 + 585*f**2. Factor x(t).
4*(t - 2)*(t + 2)*(5*t + 4)**2
Let n(p) be the second derivative of -1/36*p**4 + 8*p + 1/12*p**3 + 0 - 1/12*p**2. Factor n(f).
-(f - 1)*(2*f - 1)/6
Let d = 1216 + -1214. Factor 2/9*m**d - 2/9*m + 0.
2*m*(m - 1)/9
Let n(p) = p**2 + 17*p - 13. Let b be n(-16). Let z = 33 + b. Factor 0*c**3 - 4/5*c**2 + 2/5*c - 2/5*c**5 + 4/5*c**z + 0.
-2*c*(c - 1)**3*(c + 1)/5
Suppose 11 = 5*n - 4. Suppose 4*m + 9 = n*f, -3*m - 3 = -5*f + 12. Factor -81*z**2 + 2 - 26 - 48*z - 18*z**3 - 32*z + f*z**2.
-2*(z + 3)*(3*z + 2)**2
Let p(h) be the second derivative of h**7/14 - h**6/10 - 3*h**5/4 - 3*h**4/4 + 436*h. Factor p(z).
3*z**2*(z - 3)*(z + 1)**2
Suppose 0 = -4*y + 2*f + 14, 0 = 3*y + 3*f - 5 - 1. Factor 18*s**5 + 3*s**2 + 3*s**y - 6*s**2 - 21*s**5 + 3*s**4.
-3*s**2*(s - 1)**2*(s + 1)
Let r(a) be the first derivative of 1/2*a**3 - a**2 + 11 - 1/12*a**4 - 5*a. Let u(k) be the first derivative of r(k). Factor u(o).
-(o - 2)*(o - 1)
Let i(p) be the second derivative of -5*p**8/336 - p**7/14 - p**6/8 - p**5/12 - 3*p**2 + 4*p. Let a(m) be the first derivative of i(m). Solve a(g) = 0 for g.
-1, 0
Let v(n) be the first derivative of 7/4*n**4 + 0*n - 2*n**2 - 2*n**5 + 1/2*n**6 - 12 + 4/3*n**3. Factor v(b).
b*(b - 2)*(b - 1)**2*(3*b + 2)
Suppose 200*f = 65*f. Determine b so that f - 1/5*b**4 + 0*b + 0*b**2 + 0*b**3 = 0.
0
Let w be 28/(-35) + (-366)/(-120). Determine h, given that w*h**4 + 0 + 3/4*h**3 - 2*h**2 - h = 0.
-2/3, 0, 1
Let y be 10*(-10)/(-60) - 22/(-30). Factor 2/5*x**5 + 0*x + y*x**4 + 24/5*x**3 + 0 + 16/5*x**2.
2*x**2*(x + 2)**3/5
Let -46 - 102*d - 162*d**2 + 50 + 56*d**2 = 0. Calculate d.
-1, 2/53
Suppose -3*v = -2*w + 13, -4*v - w = -7*v - 14. Let m(r) = 4*r**2 - 2*r - 2. Let x(l) = -5*l**2 + 3*l + 2. Let c(h) = v*x(h) - 6*m(h). Factor c(p).
(p - 2)*(p - 1)
Let k = -25 + 12. Let g = k - -13. Determine d, given that 2*d + d**3 + 0*d**2 - 1 + g*d**2 + d**4 - 3*d**3 = 0.
-1, 1
Let x(n) = -n**2 - 207*n + 5199. Let z(s) = -2*s**2 - 620*s + 15598. Let b(g) = 8*x(g) - 3*z(g). Factor b(o).
-2*(o - 51)**2
Let -4*t**2 - 2*t**5 + 3*t**5 + 30*t**4 + 8*t**3 - 34*t**4 - 2*t**3 + t = 0. Calculate t.
0, 1
Solve 2 - 4*j - 50*j**2 + 0 + 93*j**2 - 41*j**2 = 0.
1
Let y(k) be the second derivative of k**4/6 - 11*k**3/3 + 18*k**2 - 17*k - 2. Suppose y(w) = 0. Calculate w.
2, 9
Suppose 2*k - 2*z = -1 + 5, z = 1. Let a(t) be the first derivative of -5 + 0*t**2 - 1/3*t**k + t. Factor a(g).
-(g - 1)*(g + 1)
Let t(z) be the first derivative of z**6/2520 + z**5/420 + z**4/168 - 4*z**3/3 - 11. Let k(b) be the third derivative of t(b). Factor k(m).
(m + 1)**2/7
Factor -6*z**3 + 8*z**3 + 54*z**2 + 1007 + 390*z - 669.
2*(z + 1)*(z + 13)**2
Suppose -90 = 3*j - 8*j. Let c(q) = 16*q**2 - 6*q - 4. Let v(y) = -2*y**2. Let w(d) = j*v(d) + 2*c(d). Factor w(a).
-4*(a + 1)*(a + 2)
Let o(l) be the third derivative of -7*l**6/60 - l**5/3 - l**4/4 - 3*l**2 - l. Factor o(z).
-2*z*(z + 1)*(7*z + 3)
Let f be (2043/(-225) + 9)*-15. Factor 0 - 3/5*a**4 + 9/5*a**3 + 0*a - f*a**2.
-3*a**2*(a - 2)*(a - 1)/5
Let q(y) = -5*y**3 + 28*y**2 + 109*y + 120. Let z(a) = 4*a**3 - 26*a**2 - 110*a - 120. Let x(p) = -4*q(p) - 6*z(p). Factor x(m).
-4*(m - 15)*(m + 2)**2
Suppose 9*r - 341 + 269 = 0. Let y(f) be the first derivative of -6*f - f**3 + 9/2*f**2 + r. Solve y(i) = 0.
1, 2
Let d be ((-3)/(-32)*8)/45. Let g(t) be the third derivative of 0*t**3 + 0*t + 0 + 1/300*t**6 + 9*t**2 - d*t**4 + 0*t**5. Factor g(n).
2*n*(n - 1)*(n + 1)/5
Determine n, given that -1/8*n**3 - 1/8*n**5 + 5/2*n - 1/2*n**4 + 1 + 7/4*n**2 = 0.
-2, -1, 2
Let g be (20/(-8))/(1 - 12/8). Suppose 0*f = -g*f. Solve -2/3*o**2 + 0 + 1/3*o**3 + f*o = 0 for o.
0, 2
Let b be 4 - ((-130)/(-45) + (-4)/(-6)). Let u(y) be the first derivative of 3 - b*y - 4/45*y**5 + 1/3*y**6 - y**4 + y**2 + 8/27*y**3. Solve u(o) = 0.
-1, 2/9, 1
Let t be 11/(-35) - (817/(-95) + 4 + 4). Let -2/7*a**2 + 12/7 + t*a = 0. What is a?
-2, 3
Suppose 5*n + 23 = 4*o, -4*n - 8 = -o + 6. Factor -1/4*d**o - 3/8*d**3 + 0*d + 0.
-d**2*(3*d + 2)/8
Let w be 0*(-4 + (-11)/(-3)). Suppose 3*s + w*s = 3*c + 15, -4*s = -c - 11. Factor 42 - 4*b**3 - 42 + 2*b**s - 6*b**2.
-4*b**2*(b + 1)
Factor -1/3*x**3 + 200/3 - 6*x**2 - 20*x.
-(x - 2)*(x + 10)**2/3
Let k = -371979/140 + 2657. Let c(n) be the third derivative of 0 + 6*n**2 + 0*n - 1/56*n**4 - 1/7*n**3 + k*n**5. Let c(a) = 0. What is a?
-1, 2
Let n(w) = 5*w**3 - 4*w**2 + w + 46. Let s(t) = -14*t**3 + 13*t**2 - 4*t - 139. Let o(l) = 11*n(l) + 4*s(l). Determine i so that o(i) = 0.
-2, 5
Let k(u) = 5*u**2 + 45*u + 100. Let n be k(-5). Factor 1/2*a**2 - 3/2*a**3 + a + n.
-a*(a - 1)*(3*a + 2)/2
Let q be (4/(-14))/((1/(-6))/((-343)/(-294))). Factor -8/9*z**3 + 0*z**q + 0 + 2/9*z**4 + 0*z.
2*z**3*(z - 4)/9
Factor 6*j**3 + 1032 + 12*j + 1036 - 3*j**4 - 2068 + 21*j**2.
-3*j*(j - 4)*(j + 1)**2
Let h(f) be the third derivative of f**8/60480 + f**7/7560 - f**6/720 - 4*f**5/5 + 7*f**2 + 4. Let g(z) be the third derivative of h(z). Solve g(w) = 0 for w.
-3, 1
Let i be 5*(136/50 + -2). Factor 2*l**4 + 4/5*l + 2/5*l**5 + i*l**3 + 0 + 14/5*l**2.
2*l*(l + 1)**3*(l + 2)/5
Let n(g) be the first derivative of -g**3/4 - 45*g**2/2 - 675*g - 83. Solve n(i) = 0.
-30
Let u(g) = 33*g**3 - 231*g**2 + 1188*g + 1473. Let t(a) = -8*a**3 + 58*a**2 - 297*a - 368. Let p(v) = -21*t(v) - 5*u(v). Factor p(s).
3*(s - 11)**2*(s + 1)
Suppose -12 - 4 = 2*w - 4*u, 5*w + 5*u = 35. Suppose 5 = -5*h, -m + w*h = -1 - 4. Find g such that 3*g**2 - 3*g**3 + 4*g**4 - m*g**4 - 3*g + 2*g = 0.
0, 1
Suppose -8*m = -57 + 17. Factor -4*j**2 + 2*j**4 + 1 - m + 6.
2*(j - 1)**2*(j + 1)**2
Suppose -7 = -2*v - 2*n + 19, -n = 4*v - 61. Factor -10*i + i**2 - 9*i + v*i.
i*(i - 3)
Let u = -56235/4 + 14059. Find k such that -1/2 - u*k**3 + 3/4*k + 0*k**2 = 0.
-2, 1
Factor 5/2*j**2 + 60 - 151*j.
(j - 60)*(5*j - 2)/2
Suppose 9 = -2*a + 3*a. Let -3*s**2 - 5*s + 5*s + 0*s + a*s = 0. What is s?
0, 3
Let t(z) be the third derivative of z**8/840 + z**7/420 - z**6/240 - z**5/60 - z**4/48 + z**3/3 - z**2. Let b(m) be the first derivative of t(m). Factor b(a).
(a - 1)*(a + 1)*(2*a + 1)**2/2
Factor -256*m + 1562 - 1562 + 64*m**2 - 4*m**3.
-4*m*(m - 8)**2
Factor 15/11*z - 1/11*z**2 + 34/11.
-(z - 17)*(z + 2)/11
Let p(g) be the first derivative of -g**3/3 + g**2/2 + 2*g - 54. Solve p(s) = 0.
-1, 2
Let q(a) be the first derivative of a**3/12 - 9*a**2/2 - 37*a/4 + 50. Factor q(w).
(w - 37)*(w + 1)/4
Suppose 76 - 1/3*c**3 + 53/3*c**2 + 224/3*c = 0. What is c?
-2, 57
Suppose 21*z - f = 23*z - 3, 0 = -5*z - 5*f. Factor 0 + 1/6*t**z + 1/6*t**2 - 1/6*t - 1/6*t**4.
-t*(t - 1)**2*(t + 1)/6
Factor 2 - 7/3*t + 1/3*t**2.
(t - 6)*(t - 1)/3
Let g be (1 + 2/(-6))/(4/12). Let h be -1*((-5)/g - (-2)/1). Determine m so that m - h*m**2 + 0 = 0.
0, 2
Let r(i) be the first derivative of i**7/3360 + i**6/720 + i**5/480 - 4*i**3 - 14. Let p(z) be the third derivative of r(z). What is k in p(k) = 0?
-1, 0
Let s be 7*(-25)/(2450/(-28)). Factor -2/7*g**s + 4/7*g - 4/7*g**3 + 0 + 2/7*g**4.
2*g*(g - 2)*(g - 1)*(g + 1)/7
Let i(o) = 6*o**4 - 26*o**3 + 41*o**2 - 25*o + 7. Let m(a) = -a - 8*a**2 + 3*a + 1 - 3*a + 9*a**2. Let y(q) = i(q) - 3*m(q). Factor y(n).
2*(n - 2)*(n - 1)**2*(3*n - 1)
Let j = 2885/234 + -309/26. Factor 0 - j*f**2 + 0*f.
-4*f**2/9
Let o(v) be the third derivative of -v**7/105 - v**6/15 + v**5/10 + 5*v**4/6 - 8*v**3/3 + 6*v**2 - 5. Suppose o(r) = 0. Calculate r.
-