nd k, given that 9*k**5 + 0 + 0*k - 21/2*k**4 + 4*k**3 - 1/2*k**a = 0.
0, 1/3, 1/2
Let u = 85 - 85. Let a(w) be the second derivative of 3/100*w**5 + 1/50*w**6 - w - 1/20*w**4 + u + 0*w**2 - 1/10*w**3. Solve a(y) = 0.
-1, 0, 1
Let w(x) be the second derivative of x**8/6720 - x**7/7560 - x**6/720 + x**5/360 - x**4/3 - x. Let h(o) be the third derivative of w(o). Solve h(n) = 0 for n.
-1, 1/3, 1
Factor -b - 1/2*b**2 + 0 + 1/2*b**3.
b*(b - 2)*(b + 1)/2
Let a(k) be the first derivative of -k**4/6 - 2*k**3/3 - k**2 - 2*k/3 + 12. Factor a(z).
-2*(z + 1)**3/3
Let m(y) be the second derivative of y**8/10080 - y**7/1260 + y**6/360 - y**5/180 + y**4/4 - y. Let x(w) be the third derivative of m(w). Factor x(o).
2*(o - 1)**3/3
Let q(d) = d - 5. Let m be q(7). Let b be m*(2 - 1) + 2. Factor b*s**2 - 8*s - s**2 + 4 - s**3 + 2*s**2.
-(s - 2)**2*(s - 1)
Let t be 12/900*(-2)/28*-1. Let r(g) be the third derivative of -1/15*g**3 + 1/120*g**4 - t*g**7 + 0*g + 0 + 1/100*g**5 - 1/600*g**6 - 4*g**2. Solve r(o) = 0.
-2, -1, 1
Let w = 39 - 115/3. Factor -w + 2*m + 2/3*m**3 - 2*m**2.
2*(m - 1)**3/3
Let u(o) be the third derivative of -2*o**2 + 0*o + 0*o**3 + 0 - 1/60*o**5 + 1/12*o**4. Factor u(q).
-q*(q - 2)
Let g(y) = -y**3 + 3*y**2 + 12*y - 29. Let o be g(4). Let -60/11*p**2 - 14/11*p**o - 72/11*p - 16/11 = 0. Calculate p.
-2, -2/7
Factor 1/2*f**3 - 1/2 + 1/2*f**2 - 1/2*f.
(f - 1)*(f + 1)**2/2
Let o(j) be the second derivative of 1/130*j**5 + 0 + 6*j + 0*j**2 + 0*j**4 + 0*j**3. Factor o(z).
2*z**3/13
Let n(t) be the second derivative of 9*t**5/5 - 34*t**4/3 + 56*t**3/3 + 16*t**2 + 15*t. Solve n(o) = 0 for o.
-2/9, 2
Let k = 234/35 + -30/7. Factor k + 48/5*o + 21/5*o**2.
3*(o + 2)*(7*o + 2)/5
Factor 2/9*p + 0 - 2/9*p**3 + 2/9*p**4 - 2/9*p**2.
2*p*(p - 1)**2*(p + 1)/9
Suppose -5*p = -p - 16. Suppose p = 4*y - 3*y. Solve 0*t**2 + 2/3*t + 0 + 0*t**y + 2/3*t**5 - 4/3*t**3 = 0.
-1, 0, 1
Suppose -17 = -4*j + 5*x, 8*j - 12*j = 2*x - 10. Suppose -19*m**2 - 4 + 25/2*m**j + 1/2*m**5 - 4*m**4 + 14*m = 0. Calculate m.
1, 2
Factor v**2 + 0*v**3 + 2*v**3 + v**2 + 6 - 10*v.
2*(v - 1)**2*(v + 3)
Let f = 31 + -29. Let o(j) be the second derivative of 1/4*j**5 + 0*j**3 + f*j - 1/12*j**4 + 0*j**2 - 7/30*j**6 + 1/14*j**7 + 0. Suppose o(g) = 0. Calculate g.
0, 1/3, 1
Let h(w) = -w - 4. Let p be h(-6). What is b in 3*b - b - 28 + p*b**2 + 28 = 0?
-1, 0
Let t(c) be the second derivative of 0 + c**2 + 1/2*c**4 - 2*c - 1/10*c**5 - c**3. Find r, given that t(r) = 0.
1
Determine y, given that -2*y - 20*y**2 + 22*y - 181 + 5*y**3 + 181 = 0.
0, 2
Let c(n) be the second derivative of -3*n + 1/14*n**5 + 0*n**2 - 1/14*n**4 + 0 - 2/21*n**3. Determine h, given that c(h) = 0.
-2/5, 0, 1
Let w = 7 - 5. Suppose 6 = 3*k - k. Factor 0*r**k + 2*r**2 + 3*r + r**3 - w*r.
r*(r + 1)**2
Let z be (2/(-6))/(34/(-36)). Let v = -1/51 + z. Let -1/3*g - v + 4/3*g**3 + 4/3*g**2 = 0. Calculate g.
-1, -1/2, 1/2
Let l(i) = -i**3 + 6*i**2 - 4*i + 5. Let z = 9 + -4. Let u be l(z). Let u*g**2 + 1 - 3*g**3 - g**5 - 8*g - 7*g**3 + 3*g + 5*g**4 = 0. Calculate g.
1
Factor -2/9*c**3 + 2/9*c - 2/9*c**2 + 0 + 2/9*c**4.
2*c*(c - 1)**2*(c + 1)/9
Let c(q) be the second derivative of 3*q + 0*q**3 + 0*q**2 + 1/6*q**4 + 0 + 1/10*q**5. Factor c(x).
2*x**2*(x + 1)
Let h(v) = -5*v + 100. Let n be h(20). Factor -2/3*f**5 + 0*f**2 + 0*f**3 + n + 0*f - 2/3*f**4.
-2*f**4*(f + 1)/3
Let f be 24/10 - (-1 - (-6)/2). Let o be ((-9)/(-6))/(2/4). Solve 1/5*d**o + d + 4/5*d**2 + f = 0 for d.
-2, -1
Factor 4*x**3 - x - 28*x**2 - 11*x - 20*x**3.
-4*x*(x + 1)*(4*x + 3)
Let c(f) be the first derivative of -f**4/42 + 4*f**3/21 - 4*f**2/7 + 4*f + 2. Let b(p) be the first derivative of c(p). Factor b(h).
-2*(h - 2)**2/7
Let u(b) be the first derivative of 8*b**5/5 - 17*b**4/2 - 32*b**3/3 + 5*b**2 + 59. Find p, given that u(p) = 0.
-1, 0, 1/4, 5
Let x(i) be the first derivative of i**6/5 + i**5/10 - i**4/2 - i**3/3 + 4*i - 2. Let w(t) be the first derivative of x(t). Suppose w(k) = 0. Calculate k.
-1, -1/3, 0, 1
Factor -6*s**4 - s**4 - 11*s**4 - s**3 - 48*s + 72*s**2 - 2*s**3 - 3*s**5.
-3*s*(s - 1)**2*(s + 4)**2
Determine b, given that -483 - 6*b - 2*b**2 - 4*b - 2*b + 473 = 0.
-5, -1
Let u = -1123/63 + 117/7. Let j = 67/36 + u. Find q such that 9/4*q - 3/4 + j*q**3 - 9/4*q**2 = 0.
1
Let s(p) be the third derivative of -p**7/70 - p**6/40 + 5*p**2. Factor s(g).
-3*g**3*(g + 1)
Let p(n) be the third derivative of n**6/120 - n**5/30 - n**4/6 + 4*n**3/3 + 6*n**2 - 2. Determine b, given that p(b) = 0.
-2, 2
Let v = 15 + -15. Let c(b) be the second derivative of 2*b + v - 1/9*b**3 - 1/18*b**4 + 1/30*b**5 + 1/3*b**2. Let c(h) = 0. Calculate h.
-1, 1
Suppose 1 = 3*l - 5. Suppose 4*m**l + m**4 - m**4 - m**4 - 3*m**2 = 0. What is m?
-1, 0, 1
Let x(d) be the third derivative of -d**5/480 + d**4/48 + 5*d**3/48 + 29*d**2. Find k such that x(k) = 0.
-1, 5
Let l(k) be the first derivative of 0*k - k**2 + 1/2*k**4 + 0*k**3 - 3. What is f in l(f) = 0?
-1, 0, 1
Let m be (-15)/(-6) - ((-28)/24 - -1). Let -16/9*d - 4/3*d**3 - 2/9*d**4 + 0 - m*d**2 = 0. What is d?
-2, 0
Let t = 1061/3 - 353. What is q in 2/9*q + 8/9*q**2 + 0 + t*q**3 = 0?
-1, -1/3, 0
Suppose 0 - 5/6*g**5 + 9/2*g**4 - 25/3*g**3 - 4/3*g + 6*g**2 = 0. Calculate g.
0, 2/5, 1, 2
Suppose 4*s = 11 + 9. Factor s*p**3 - 8 + 3*p**2 - 8*p - 2*p**2 + p**2 - 3*p**3.
2*(p - 2)*(p + 1)*(p + 2)
Let b(s) = 8*s**3 + 16*s**2 - 12*s - 6. Let n(h) = -7*h**3 - 15*h**2 + 12*h + 5. Let p(l) = -5*b(l) - 6*n(l). Determine a, given that p(a) = 0.
-6, 0, 1
Let y(w) = -w**2 + 4*w + 5. Let b be y(5). Let k be b/(5/(20/(-8))). Factor -1/4*x - x**2 - 3/4*x**3 + k.
-x*(x + 1)*(3*x + 1)/4
Let s(h) be the first derivative of h**7/840 + h**6/360 - h**5/60 + 7*h**3/3 + 6. Let a(w) be the third derivative of s(w). Solve a(j) = 0.
-2, 0, 1
Factor 0*o**2 - 1/2*o**5 + 0*o + o**4 - 1/2*o**3 + 0.
-o**3*(o - 1)**2/2
Let k = -60 + 63. Let d(t) be the second derivative of -k*t - 1/8*t**2 - 1/4*t**3 + 0 - 3/16*t**4. Factor d(m).
-(3*m + 1)**2/4
Factor 2*x**2 + 58 + 60*x + 4*x**2 - x**2 - 3.
5*(x + 1)*(x + 11)
Let t(j) be the first derivative of -j**5/20 + j**3/4 - j**2/4 - 3. Solve t(v) = 0.
-2, 0, 1
Let n(d) = -d**3 - 5*d**2 - 2*d + 2. Let r(p) = 6*p - 4*p + 6*p**2 - p**3 + 3*p**3 - 2. Let i(z) = -4*n(z) - 3*r(z). Factor i(y).
-2*(y - 1)**2*(y + 1)
Let h(r) be the second derivative of r**7/28 - r**6/20 - 3*r**5/20 + r**4/4 + r**3/4 - 3*r**2/4 - 2*r - 2. Let h(i) = 0. Calculate i.
-1, 1
Let c(i) be the first derivative of i**4/32 + 5*i**3/24 - 13*i**2/16 + 7*i/8 - 5. Find t, given that c(t) = 0.
-7, 1
Suppose -8 - 37 = -15*k. Let -4/3*z**2 + k*z - 2/3 = 0. What is z?
1/4, 2
Solve -2/9*f**3 - 4/9*f**2 + 2/9*f + 4/9 = 0.
-2, -1, 1
Determine y so that -1/5*y + 0 + 1/5*y**3 + 1/5*y**2 - 1/5*y**4 = 0.
-1, 0, 1
Find x, given that -1 + 1/3*x**2 + 2/3*x = 0.
-3, 1
Suppose -2*n + 0*a + 3*a = -11, 4*a - 11 = -n. Suppose 12*u**2 - n*u + 9 + 7 - 3*u**3 - 4*u**4 - 5*u**3 + 39*u = 0. What is u?
-2, -1, 2
Suppose 3*f = -3*f. Suppose 0 = -f*h + 5*h. Factor -1/2*a**3 + h*a**2 + 1/2*a - 1/4 + 1/4*a**4.
(a - 1)**3*(a + 1)/4
Let f = -13 + 13. Let j(v) be the second derivative of -3*v + 1/3*v**3 + f - 1/12*v**4 - 1/2*v**2. Solve j(z) = 0.
1
Let w = 172 + -343/2. Find a such that -w*a**3 - 1/2*a**2 + 0 + 1/2*a**4 + 1/2*a**5 + 0*a = 0.
-1, 0, 1
Factor -4/5*r**2 + 0 - 2/5*r**3 + 6/5*r.
-2*r*(r - 1)*(r + 3)/5
Let i(f) = 9*f**2 - 2*f - 6. Let j(p) = -p**2 + p + 1. Suppose -2*c - 3*q + 14 = 0, -5*c - 3*q = -23 - 21. Let a(r) = c*j(r) + 2*i(r). Factor a(d).
2*(d + 1)*(4*d - 1)
Let f = 19 - 18. Let i be (2*f/4)/2. Factor i*m**3 - 3/4*m - 1/2 + 0*m**2.
(m - 2)*(m + 1)**2/4
Let y(b) = b**3 - 7*b**2 + 10*b - 19. Let g be y(6). Let r be ((-30)/(-9))/g - -4. Find n such that -4/3*n**2 + 0 + 0*n + r*n**3 - 2*n**4 = 0.
0, 1/3, 2
Determine y so that 0 + 1/3*y**4 + 1/3*y**3 + 0*y**2 + 0*y = 0.
-1, 0
What is b in 10/3*b - 2/3*b**2 - 8/3 = 0?
1, 4
Let u(g) = -5*g**2 + 11*g + 2. Let t(f) = -f**2 + f. Let a(y) = 6*t(y) - u(y). Let d be a(-4). Factor -3*s - s - 4 - 2*s**d - 2*s + 0*s**2.
-2*(s + 1)*(s + 2)
Let u(l) be the second derivative of -l**4/42 - l**3/7 - 2*l**2/7 + 40*l. Suppose u(o) = 0. Calculate o.
-2, -1
Suppose 0 = -2*t - 10, -3*n = -2*t - 13. Solve -1/2*z**2 + n - 1/2*z = 0.
-2, 1
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