the first derivative of l**6/900 + l**5/150 + l**4/60 + 8*l**3/3 + 15. Let a(v) be the third derivative of h(v). Factor a(k).
2*(k + 1)**2/5
Let m = 8057/3 + -2684. Factor -2/3*k**3 - k**5 + m*k**4 + 0*k**2 + 0*k + 0.
-k**3*(k - 1)*(3*k - 2)/3
Let n(o) be the first derivative of o**4/12 + 2*o**3/3 + 2*o**2 + 5*o + 8. Let h(c) be the first derivative of n(c). Factor h(t).
(t + 2)**2
Determine v, given that -14/13*v**4 + 14/13*v**3 - 2/13*v**5 + 0 + 110/13*v**2 + 84/13*v = 0.
-7, -2, -1, 0, 3
Suppose 8 = -162*v + 164*v. Let z(b) be the third derivative of 15*b**2 + 0 + 1/2*b**v + 0*b + 4*b**3 + 1/40*b**5. Factor z(o).
3*(o + 4)**2/2
Let g(p) be the first derivative of p**5/180 + p**4/4 + 9*p**3/2 + 9*p**2/2 - 20. Let q(m) be the second derivative of g(m). Factor q(n).
(n + 9)**2/3
Let b(f) be the second derivative of -f**4/6 + 19*f**3/27 - 2*f**2/9 - 19*f + 1. Factor b(q).
-2*(q - 2)*(9*q - 1)/9
Let l(r) be the first derivative of -5/3*r**3 - 7 - 10*r + 15/2*r**2. Suppose l(d) = 0. Calculate d.
1, 2
Let -3*v**5 - 21*v**4 - 10*v**3 + 43*v**3 - 56*v + 2*v + 9*v**3 + 15*v**3 + 21*v**2 = 0. What is v?
-9, -1, 0, 1, 2
Suppose -2/3*z**3 + 726 - 682*z - 130/3*z**2 = 0. What is z?
-33, 1
Factor 4/15*l + 2/15*l**2 - 2/5.
2*(l - 1)*(l + 3)/15
Suppose 0 = -5*p + 8 + 12, -5*b + 2*p - 13 = 0. Let d(x) = -9*x - 1. Let w be d(b). Factor -27*l**3 - 1 - w*l**2 - 1 - 7*l + 24*l**3.
-(l + 1)**2*(3*l + 2)
What is a in -1/2*a**3 - 1/8*a**4 - 1/2*a - 1/8 - 3/4*a**2 = 0?
-1
Factor -3/2 - 5/4*r + 1/4*r**2.
(r - 6)*(r + 1)/4
Let v(j) be the first derivative of 0*j**5 + 2*j**2 + 0*j**3 + 1/540*j**6 + 0*j**4 - 4 + 0*j. Let b(z) be the second derivative of v(z). Factor b(n).
2*n**3/9
Let g = -1791 + 1796. Suppose -8/13 + 14/13*k**2 - 2/13*k**g - 6/13*k**4 + 0*k + 2/13*k**3 = 0. Calculate k.
-2, -1, 1
Let f = 75/17 - 7333/1666. Let t(n) be the second derivative of 0*n**3 - 9*n + 0*n**2 + 1/28*n**4 + 0 + 3/70*n**6 - f*n**7 - 9/140*n**5. Factor t(y).
-3*y**2*(y - 1)**3/7
Let m = 23 + -23. Let k = 6 - m. Factor k*n**2 + 3*n + 23*n**4 - 54*n**4 + 25*n**4 - 3*n**5.
-3*n*(n - 1)*(n + 1)**3
Let z = -145 - -150. Let y(k) be the third derivative of -1/30*k**z - 2/3*k**3 + k**2 + 0 + 0*k + 1/4*k**4. Factor y(p).
-2*(p - 2)*(p - 1)
Let j(k) = 21*k**2 - 48*k + 45. Let c(x) = 5*x**2 - 12*x + 11. Let y(v) = -9*c(v) + 2*j(v). Solve y(t) = 0 for t.
1, 3
Let p(n) be the third derivative of n**5/300 + n**4 + 120*n**3 - 10*n**2 + 1. Determine s so that p(s) = 0.
-60
Let r be (140/(-5))/14 + 2/((-12)/(-17)). Factor -1/6 - r*o**3 + 3/2*o**2 - 1/2*o.
-(o - 1)**2*(5*o + 1)/6
Let i(o) be the second derivative of 0 + 1/54*o**4 + 0*o**3 - 9*o + 0*o**2 - 1/90*o**5. Factor i(v).
-2*v**2*(v - 1)/9
Factor -4/9*l**4 - 24*l**2 + 208/9*l - 68/9 + 80/9*l**3.
-4*(l - 17)*(l - 1)**3/9
Let u(f) be the second derivative of f**9/7560 + f**8/3360 - f**7/252 + f**6/120 - 4*f**4/3 + 13*f. Let a(j) be the third derivative of u(j). Factor a(x).
2*x*(x - 1)**2*(x + 3)
Factor -12/5 + 0*q - 3/5*q**3 + 9/5*q**2.
-3*(q - 2)**2*(q + 1)/5
Let o(p) = -p**3 + 6*p**2 - 7*p + 47. Let a be o(6). Find l, given that 0 + 303/5*l**4 + 21*l**a - 12*l**2 + 162/5*l**3 - 24/5*l = 0.
-2, -1, -2/7, 0, 2/5
Suppose -5*a = -3*k + 29, -27 = -4*k + 5*a + 5. Suppose -3*j = -8*j - k*u - 3, 5 = -4*j - 5*u. Solve 1/3*n**4 + 0*n**2 + j + n**3 - 4/3*n = 0.
-2, 0, 1
Let w(a) be the third derivative of -a**6/1080 + a**5/40 - a**4/9 + 8*a**3/3 - 4*a**2. Let b(i) be the first derivative of w(i). Factor b(t).
-(t - 8)*(t - 1)/3
Let i = 29/6 + -67/14. Let t(k) be the third derivative of 0 - 1/42*k**4 + 0*k + 6*k**2 - i*k**3 - 1/210*k**5. Factor t(h).
-2*(h + 1)**2/7
Factor 0*t**2 - 556112 + 556104 + 10*t**2 - 6*t - 2*t**4 + 6*t**3.
-2*(t - 4)*(t - 1)*(t + 1)**2
Let z(p) be the second derivative of 0 + 1/2*p**3 + 1/14*p**7 - 6*p - 3/10*p**5 + 0*p**2 + 0*p**4 + 0*p**6. Factor z(h).
3*h*(h - 1)**2*(h + 1)**2
Let p(m) = -7*m**2 + 18*m + 25. Let o(v) = -10*v**2 + 18*v + 24. Let h(g) = 3*o(g) - 4*p(g). Suppose h(f) = 0. Calculate f.
-7, -2
Let t(h) be the third derivative of 4*h**8/21 - 16*h**7/35 + h**6/30 + 2*h**5/5 + h**4/6 - 2*h**2 - 31*h. Solve t(q) = 0 for q.
-1/4, 0, 1
Let m(h) be the third derivative of h**6/320 + 57*h**5/32 + 20163*h**4/64 - 20449*h**3/16 - 303*h**2. Suppose m(i) = 0. What is i?
-143, 1
Let i(x) be the second derivative of x**4/3 - 13*x**3/6 + 2*x. Let b(c) be the first derivative of c**2/2 + 133. Let r(f) = -5*b(f) - i(f). Factor r(q).
-4*q*(q - 2)
Let z be (-96)/360*2/4*-12 + -1. Factor -36/5*v + 24/5 - z*v**3 + 18/5*v**2.
-3*(v - 2)**3/5
Let l be (-76)/456*((-20)/(-3))/(-5). Find q, given that -4/9*q**4 + 0 - l*q**3 + 0*q**2 - 2/9*q**5 + 0*q = 0.
-1, 0
Suppose -3*w + a = -4, -2*w - 3*a + 19 = -2. Solve -19*g**3 - 9 - 15*g**2 - 6*g + 8*g**w + 14*g**3 + 27*g = 0 for g.
1, 3
Let k = 29 + 46. Factor -63*w + 3*w**2 + k*w + 18 - 6.
3*(w + 2)**2
Factor -65/7*v - 1/7*v**3 + 24/7*v**2 + 6.
-(v - 21)*(v - 2)*(v - 1)/7
Suppose 2*s = -3*i + 10, i + 2*s - 8 = -i. Let d be ((14 + -14)*i/(-2))/1. Solve -1/2*p**2 + 1/2*p + d = 0.
0, 1
Let j = 36656/5 + -7330. Suppose j*f**2 + 6/5*f + 2/5*f**3 + 2/5 = 0. What is f?
-1
Factor 12*q**2 - 14*q**3 - 17*q**3 - 27*q**2 - 168 - 333*q - 147*q**2 + 34*q**3.
3*(q - 56)*(q + 1)**2
Suppose 5*r = -8*g + 3*g - 10, 3*g + 12 = 0. Factor -2*m**2 - 21*m**3 + 23*m**3 + 2*m**4 + 12*m - r*m**5 - 12*m.
-2*m**2*(m - 1)**2*(m + 1)
Let y(b) be the third derivative of b**6/40 - 7*b**5/20 + 7*b**4/4 - 4*b**3 - 84*b**2. Factor y(x).
3*(x - 4)*(x - 2)*(x - 1)
Let o(y) be the first derivative of -y**7/840 - y**6/60 - 3*y**5/40 - y**4/6 + y**3 - 2. Let w(z) be the third derivative of o(z). Factor w(k).
-(k + 1)**2*(k + 4)
Let w = 4 - 2. Let y be w + 3/3 - 1. Factor 3*f**y - 3*f**2 + 2*f**2.
2*f**2
Let l be (-32)/(-24)*(-3)/(-2). Factor -6/7*v**l + 4/7*v**3 + 4/7*v - 1/7*v**4 - 1/7.
-(v - 1)**4/7
Let m(v) be the third derivative of v**8/1008 + 2*v**7/315 + v**6/72 + v**5/90 - 267*v**2. Factor m(k).
k**2*(k + 1)**2*(k + 2)/3
Let p = 51 - 37. Let u be (0 - p/(-20))*48/84. Find c, given that 0*c + 0*c**2 - 1/5*c**5 + 0 - 1/5*c**3 + u*c**4 = 0.
0, 1
Let v(n) be the second derivative of 0 - 25*n - 2/75*n**5 + 0*n**2 + 1/315*n**7 + 0*n**3 - 1/225*n**6 + 2/45*n**4. Solve v(m) = 0 for m.
-2, 0, 1, 2
Determine m so that -18 + 12*m**2 + 16/3*m**3 + 2/3*m**4 + 0*m = 0.
-3, 1
Let d(w) be the first derivative of 1 - 3/2*w**2 + 0*w + 5/2*w**3 + 3/10*w**5 - 3/2*w**4. Let d(m) = 0. What is m?
0, 1, 2
Suppose -5*c + 6 = -4. Let z(k) = -k**3 - 2*k**2 - 2*k - 2. Let o be z(-2). Factor 3*s**3 + 4*s**2 - 3*s**3 + o*s**c - 12*s - s**3 + 8.
-(s - 2)**3
Let f(v) be the third derivative of -1/2*v**3 + 0 + 0*v + 0*v**5 + 29*v**2 + 1/70*v**7 + 1/20*v**6 - 1/4*v**4. Solve f(a) = 0.
-1, 1
Let u(v) be the first derivative of v - v**2 - 21 - 7/12*v**3 + 5/16*v**4. Factor u(r).
(r - 2)*(r + 1)*(5*r - 2)/4
Let z be (-2*(-14)/(-35))/((-1)/((-25)/(-10))). Solve 26/3*k**4 + 38/3*k**z - 134/9*k**3 + 8/9 - 16/3*k - 2*k**5 = 0 for k.
2/3, 1
Suppose 0 = -2*m + 6 + 64. Determine j so that -30 + 22*j**2 - 10*j**2 + 23*j**2 + m*j + 55*j**2 + 25*j**3 = 0.
-3, -1, 2/5
Let z(p) = -p**3 + 9*p**2 - 7*p + 1. Let n be z(8). Find w, given that w**3 - w**2 - n*w + 10*w + 3*w**2 = 0.
-1, 0
Let w(h) = h**2 - 21*h - 17. Let m be w(22). Let l = -3 + 15. Factor m*k - 3*k + l*k**2 - 2*k + 3*k.
3*k*(4*k + 1)
Let h(u) = u**2 + 102*u - 103. Let l(i) = 5*i**2 + 509*i - 514. Let f(m) = -11*h(m) + 2*l(m). Factor f(w).
-(w - 1)*(w + 105)
Let l be 7 - (-33)/(-5) - (-18)/5. Let j(z) be the second derivative of 0*z**3 - 1/24*z**l + 0*z**2 - 4*z + 0 + 1/60*z**6 - 1/40*z**5 + 1/84*z**7. Factor j(n).
n**2*(n - 1)*(n + 1)**2/2
Let k(r) be the first derivative of -2*r**5/75 - r**4/6 + 4*r**3/15 + 13. Factor k(a).
-2*a**2*(a - 1)*(a + 6)/15
Let s = 56 + -145. Let i = 92 + s. Find o, given that -i*o**3 - 6/5*o + 0 - 21/5*o**2 = 0.
-1, -2/5, 0
Suppose 8 = -2*j + 6*j. Determine p so that 18*p**2 + 15*p + 6 + 4*p**2 - 13*p**j = 0.
-1, -2/3
Let r be 39/4*-9*10/(-135). Let n = 53/8 - r. What is t in 1/8*t**4 - 1/4 - 3/8*t**3 + n*t**2 + 3/8*t = 0?
-1, 1, 2
Let z be (3/(-3))/(6/(-24)). Let s = z - 24/7. Determine q so that -2/7*q**3 - s*q**2 + 2/7*q + 4/7 = 0.
-2, -1, 1
Let u be ((-20)/6)/(2/(-18)). Solve -