0*y**5 - 16*y**3 - y**4 + 0*y - 11/80*y**6 - 8*y**2 + 0 + 1/140*y**7. Factor n(v).
3*(v - 4)**3*(v + 1)/2
Let h = 128 + -122. Let w(y) be the third derivative of 0*y**3 + 0*y + 2/105*y**5 - 8*y**2 + 0 - 1/420*y**h - 1/21*y**4. Find p, given that w(p) = 0.
0, 2
Let c(k) be the third derivative of k**7/1470 - k**6/42 + k**5/28 + 10*k**4/21 - 38*k**3/21 + 253*k**2. Determine r, given that c(r) = 0.
-2, 1, 2, 19
Let y(x) be the second derivative of -x**6/10 + 3*x**5/20 + 3*x**4/2 - 2*x**3 - 12*x**2 - 8*x + 1. Factor y(a).
-3*(a - 2)**2*(a + 1)*(a + 2)
Let t(c) = c**3 + 7*c**2 + 5*c - 2. Suppose 2*d + 5 = -7. Let l be t(d). Determine v so that -8/3*v + 70/3*v**l - 8/3 + 148/3*v**3 + 26*v**2 = 0.
-1, -2/5, 2/7
Factor -6*k**2 + 5*k**3 - 13 - 3*k**3 + 3 + 0*k**3 - 18*k.
2*(k - 5)*(k + 1)**2
Let v = 3821 - 7825/2. Let h = 93 + v. Solve -h*j**2 + 0 + 3/2*j**3 + 0*j = 0.
0, 1
Factor 5*p - 16*p**2 + 6 + 10*p**2 - 14 + 4*p + 5.
-3*(p - 1)*(2*p - 1)
Let s(i) be the second derivative of -i**5/130 - i**4/39 + i**3/39 + 2*i**2/13 - 13*i + 2. Factor s(n).
-2*(n - 1)*(n + 1)*(n + 2)/13
Let r(o) be the second derivative of -o**4/8 - 7*o**3/4 + 45*o**2/2 + 152*o + 2. Factor r(a).
-3*(a - 3)*(a + 10)/2
Let x(i) be the second derivative of -54*i**2 - 1/5*i**5 - 3*i**4 + 11*i - 18*i**3 + 0. Factor x(u).
-4*(u + 3)**3
Let o(v) = 9*v**3 - 4*v**2 - 9*v + 4. Suppose 2*y - 5 = -11. Let p(f) = -5*f**3 + 2*f**2 + 5*f - 2. Let h(z) = y*o(z) - 5*p(z). Factor h(q).
-2*(q - 1)**2*(q + 1)
Suppose 0*p = -0*p - 7*p. Suppose p = -2*v - 0*m - 3*m, -m = v. Find h such that v*h**2 - 2/13*h**3 + 0 + 0*h + 2/13*h**5 + 0*h**4 = 0.
-1, 0, 1
Let z(y) be the third derivative of 5*y**2 + 0*y + 0 + 2/7*y**3 + 1/210*y**5 + 5/84*y**4. Factor z(r).
2*(r + 2)*(r + 3)/7
Factor -2/9*l**4 - 8/3*l - 14/9*l**3 + 0 - 32/9*l**2.
-2*l*(l + 2)**2*(l + 3)/9
Let l be (24/(-5))/(3/(-10)). Let g = -14 + l. Let -3*b**2 + 17*b + 6*b**g + 31 - 4 + b = 0. Calculate b.
-3
Let n = -1028 + 1031. Factor 2/3*g**2 - 16/3*g + 2*g**n + 8/3.
2*(g - 1)*(g + 2)*(3*g - 2)/3
Let r(w) be the first derivative of w**3/24 - 11*w**2/16 - 3*w/2 - 26. Suppose r(k) = 0. Calculate k.
-1, 12
Let g(i) be the second derivative of i**7/420 + i**6/180 + 31*i**3/6 + 11*i. Let b(f) be the second derivative of g(f). Factor b(n).
2*n**2*(n + 1)
Let u(v) = v**3 + v**2 - v + 1. Let o(t) = -4*t**3 + 19*t - 21*t + 11*t**3 + 4 - t**2. Let s(i) = -o(i) + 4*u(i). Suppose s(y) = 0. Calculate y.
0, 2/3, 1
Let f = 1076 - 616. Let m = f - 3214/7. Factor -4/7*b + 2/7*b**2 - m.
2*(b - 3)*(b + 1)/7
Suppose 18 = 5*z - 2. Factor 17*j**4 + 3*j**3 + 3*j**z + j**3 + 12*j**5 + 4*j**3.
4*j**3*(j + 1)*(3*j + 2)
Let r(a) = 23*a**4 + 32*a**3 - 25*a**2 - 3*a - 9. Let s(z) = -z**4 - z**2 - z + 1. Let g(d) = -2*r(d) - 18*s(d). Factor g(x).
-4*x*(x - 1)*(x + 3)*(7*x + 2)
Let g be 56/90 + (-18 - 1920/(-108)). Let 2/5*i - g*i**2 + 4/5 = 0. Calculate i.
-1, 2
Suppose -1/9*a**3 - 31/9*a + 7/3 + 11/9*a**2 = 0. Calculate a.
1, 3, 7
Find t, given that 4/5*t**5 + 144/5 + 384/5*t + 188/5*t**3 + 44/5*t**4 + 388/5*t**2 = 0.
-3, -2, -1
Let w(j) be the first derivative of 4/21*j**3 + 0*j**2 - 6/35*j**5 + 0*j - 5 - 1/14*j**4. Factor w(b).
-2*b**2*(b + 1)*(3*b - 2)/7
Factor -4805/2*h**2 + 0 + 0*h + 155*h**3 - 5/2*h**4.
-5*h**2*(h - 31)**2/2
Let t be 2/6*(8 - 16)/(-8). Find r such that 0 - 1/6*r**3 + 1/2*r**2 - t*r = 0.
0, 1, 2
Let i be 4/12*(37 + 2). Let l = 16 - i. Find y such that -3*y**4 - y**5 + 6*y**l - 8*y + 8*y**4 - 4*y**2 + 2*y**5 = 0.
-2, 0, 1
Let u(g) be the third derivative of g**10/1209600 + g**9/120960 + g**8/53760 + 3*g**5/10 - 5*g**2. Let c(z) be the third derivative of u(z). Factor c(h).
h**2*(h + 1)*(h + 3)/8
Suppose -304*v + 20 = -299*v. Let w(n) be the first derivative of 2/5*n**5 + v + n**2 - 1/2*n**4 + 0*n - 2/3*n**3. Factor w(o).
2*o*(o - 1)**2*(o + 1)
Let r(x) be the first derivative of -1/10*x**5 - 3/16*x**4 + 1/24*x**6 + 1 - 1/2*x**2 + 0*x + 2/3*x**3. Factor r(m).
m*(m - 2)*(m - 1)**2*(m + 2)/4
Let q = 15 + -1. Suppose 2*m - o - q = -3*o, -2*o + 4 = -3*m. Find p, given that 15*p**5 - 11*p**4 + 8*p**5 - 9*p**m + 15*p**3 + 2*p - 20*p**5 = 0.
0, 2/3, 1
Let l be (36/60)/((6/(-10))/(-3)). Suppose -8*m**3 - 12*m**3 - 15*m**l + 10*m - 25*m**2 = 0. What is m?
-1, 0, 2/7
Let m(l) be the second derivative of 0*l**6 + 0*l**2 + 0*l**4 - 2/21*l**7 - 2/3*l**3 + 0 - 8*l + 2/5*l**5. Factor m(y).
-4*y*(y - 1)**2*(y + 1)**2
Let a be -5 + -1 + 19684/3306. Let b = 103/348 + a. Factor 0 - 3/4*g + b*g**2.
g*(g - 3)/4
Let a(m) = 5*m**2 + 5*m. Let v(y) = y. Let n(d) = a(d) - 6*v(d). Let z(f) = 6*f**2 - 2*f. Let b(k) = -4*n(k) + 3*z(k). Let b(p) = 0. Calculate p.
-1, 0
Let r = -17 - -28. Suppose v + 1 + 4 = 0, -v = -3*k + r. What is y in -6 + 6*y**k + 3*y - 3*y**3 - 5 + 5 = 0?
-1, 1, 2
Let a(p) be the third derivative of -p**8/672 + p**7/840 + 7*p**6/240 + p**5/48 - p**4/16 + 2*p**2 + 555. Find f such that a(f) = 0.
-2, -1, 0, 1/2, 3
Let 3*n - n + 104*n - 5*n**4 + 208*n**3 + 105*n**2 - 183*n**3 + 40 + 9*n = 0. What is n?
-1, 8
Let j be ((-3)/(-2))/((-1)/(-4)*-1). Let d be j/(-5) - (-12)/15. Factor -4/9*h**d - 4/9*h**3 - 2/9*h**5 + 2/3*h + 2/3*h**4 - 2/9.
-2*(h - 1)**4*(h + 1)/9
Let b(v) be the second derivative of 2*v**7/105 + v**6/30 - 2*v**5/15 + 7*v**2/2 + 6*v. Let k(g) be the first derivative of b(g). Factor k(h).
4*h**2*(h - 1)*(h + 2)
Let y be 7*((-16)/(-7) - 2). What is f in 8*f**2 - 6*f**y + 0*f**2 - 4*f**2 = 0?
0
Let l(b) be the third derivative of 24*b**2 - 1/168*b**4 - 1/2352*b**8 + 1/420*b**6 + 1/1470*b**7 + 0*b + 0 - 1/210*b**5 + 1/42*b**3. What is j in l(j) = 0?
-1, 1
Let k(g) be the second derivative of g**4/84 + 5*g**3/42 + 5*g - 6. Solve k(y) = 0 for y.
-5, 0
Let v be 0*(-3 - (-1 - 3)). Factor -4*x**4 - 2*x - 36*x**2 + v*x + 30*x - 8 + 20*x**3.
-4*(x - 2)*(x - 1)**3
Let k(l) be the second derivative of 2*l**2 + 2/3*l**3 + 1/12*l**4 - 14*l + 3. Let k(m) = 0. Calculate m.
-2
Let n(b) be the second derivative of 7*b**5/30 - b**4/9 - 5*b**3/9 - 5*b + 33. Factor n(v).
2*v*(v - 1)*(7*v + 5)/3
Let l = 70 - 21. Let r = l - 97/2. Determine u, given that -u**2 + 0 - r*u**3 + 0*u = 0.
-2, 0
What is c in -230*c**2 + 280/3 + 35/3*c**4 - 820/3*c + 445/3*c**3 = 0?
-14, -1, 2/7, 2
Determine y, given that -44/3*y**2 + 70/3*y**4 - 26/3 - 34*y + 36*y**3 - 2*y**5 = 0.
-1, -1/3, 1, 13
Let g(p) = -13*p**2 + 11*p + 24. Let d(u) be the third derivative of 3*u**5/20 - 7*u**4/24 - 8*u**3/3 - 16*u**2. Let a(l) = -7*d(l) - 5*g(l). Solve a(h) = 0.
-1, 4
Let c(q) be the second derivative of -q**7/168 + q**6/24 - 3*q**5/40 - q**4/12 + q**3/3 - 204*q. Determine k, given that c(k) = 0.
-1, 0, 2
Let -33/4*h**2 + 93/4*h - 63/4 + 3/4*h**3 = 0. What is h?
1, 3, 7
Let t(a) = 5*a**3 - a**2 + 4*a - 4. Let n(g) = 9*g**3 - 3*g**2 + 9*g - 8. Suppose l = -8*l - 36. Let p(s) = l*n(s) + 7*t(s). Factor p(q).
-(q - 2)**2*(q - 1)
Let r(q) be the second derivative of 0 - 1/6*q**4 + 9*q - 3/10*q**5 + q**3 + 1/15*q**6 + 0*q**2. Factor r(k).
2*k*(k - 3)*(k - 1)*(k + 1)
Let a(h) = -h + 3. Let m be a(-1). Factor 4/3*x + 8*x**3 - 16/3*x**m + 0 - 16/3*x**2 + 4/3*x**5.
4*x*(x - 1)**4/3
Let w = 19 - 34. Let o be 6/w - (-36)/15. What is l in -4*l**3 - 3*l**2 + l**3 - l - 3 + 4*l + 6*l**o = 0?
-1, 1
Suppose h - w = -5, h + 3*w + 6 = 1. Let a be -1 - ((-14)/h)/(-2). Find b, given that 1/5 + 1/5*b**2 - a*b = 0.
1
Suppose b + 2 = 2*o - 2, 0 = 5*o - b - 13. Let q(k) be the third derivative of 1/240*k**5 + 1/48*k**4 + 0*k**o + 0*k - 2*k**2 + 0. Factor q(c).
c*(c + 2)/4
Let c(f) be the first derivative of -81*f**5/100 + 9*f**4/10 - 2*f**3/5 - 7*f**2 - 15. Let r(l) be the second derivative of c(l). Factor r(y).
-3*(9*y - 2)**2/5
Let a(n) = 5*n**4 - 45*n**3 - 243*n**2 - 197*n - 2. Let u(w) = 25*w**4 - 225*w**3 - 1214*w**2 - 986*w - 11. Let i(y) = 11*a(y) - 2*u(y). Factor i(r).
5*r*(r - 13)*(r + 1)*(r + 3)
Suppose 0 = 4*j - 111 + 103. Suppose i - 1/2 - 1/2*i**j = 0. Calculate i.
1
Let x(m) be the first derivative of 5*m**4/4 + 25*m**3 - 40*m**2 - 825. What is g in x(g) = 0?
-16, 0, 1
Let o(x) be the third derivative of -x**10/6048 + x**8/1344 + x**4/6 + 2*x**2. Let r(f) be the second derivative of o(f). Factor r(k).
-5*k**3*(k - 1)*(k + 1)
Factor 54*c - 4*c**4 - 5*c**4 + 24 - 66*c**2 + 99*c**2 + 6*c**4.
-3*(c - 4)*(c + 1)**2*(c + 2)