ose -y = h - 6. Factor 6 - 14*a - 3*a**h - a**2 + 5*a + 12*a**3 - 5*a**2.
-3*(a - 1)**3*(a + 1)*(a + 2)
Let y(h) be the third derivative of -1/16*h**4 + 0*h + 0 - 3*h**2 + 1/8*h**3 + 1/80*h**5. Solve y(l) = 0.
1
Suppose 4*k - 3*n = 20, -n + 10 = -k - 4*n. Determine y, given that 5/2*y + 7/2*y**k + 3/2*y**3 + 1/2 = 0.
-1, -1/3
Factor 0 + 6/5*l + 2*l**2 - 2/5*l**4 + 2/5*l**3.
-2*l*(l - 3)*(l + 1)**2/5
Let f be (-1)/(-2) + (-12)/(-8). Suppose z = -f*z. Factor k**2 + 6*k - 5*k + 0 + z.
k*(k + 1)
Let m = -361 - -364. Factor 3/5*r**3 + 21/5*r - m*r**2 - 9/5.
3*(r - 3)*(r - 1)**2/5
Let j(t) be the first derivative of -t**5/10 + t**4/6 + t**3/3 - t**2 - 6. Let n(k) be the second derivative of j(k). Suppose n(w) = 0. Calculate w.
-1/3, 1
Suppose 9*n = -27*n + 108. Factor 3*l + 6/7*l**4 + 6/7*l**n - 6/7 - 3/7*l**5 - 24/7*l**2.
-3*(l - 1)**4*(l + 2)/7
Let h be (-5)/(-2) + 5/(-10). Determine n, given that 2 + 2*n**2 + 3*n + 0*n**h - n**2 = 0.
-2, -1
Let k be (-1)/5 - 104/(-20). What is u in 6*u - 8*u**2 - 7*u**2 + u**5 - 4*u**k + 3*u**4 + 0*u**3 + 9*u**3 = 0?
-2, 0, 1
Let t(n) be the third derivative of n**8/1512 - n**6/270 + n**4/108 - 9*n**2. Factor t(b).
2*b*(b - 1)**2*(b + 1)**2/9
Let r be (-3)/((-1)/(10/75)). Let c(a) be the first derivative of 2 - r*a**2 - 2/5*a - 2/15*a**3. Find f, given that c(f) = 0.
-1
Find n, given that 20*n**2 + 9*n + 10 + 18*n + 18*n = 0.
-2, -1/4
Let y(s) = -3*s**4 + 2*s**3 + 3*s**2 - 2*s + 5. Let b(v) = -2*v**4 + v**3 + 2*v**2 - v + 3. Let h(m) = -5*b(m) + 3*y(m). Factor h(u).
u*(u - 1)*(u + 1)**2
Factor 29*f**2 - 62*f - 24 + 66*f + 11*f**2 + 12*f**3.
4*(f + 1)*(f + 3)*(3*f - 2)
Let b be ((-57)/15 + 4)*(-15)/(-6). Factor -c**2 + 1/2 - b*c.
-(c + 1)*(2*c - 1)/2
Let s(k) be the first derivative of 7/2*k**4 - 8*k**3 + 3*k**2 - 2 + 4*k. Factor s(c).
2*(c - 1)**2*(7*c + 2)
Find l, given that -7*l**3 + 7*l**2 + 3*l**3 + 5*l**2 = 0.
0, 3
Factor 4/5*d**2 - 2/5 + 2/5*d.
2*(d + 1)*(2*d - 1)/5
Let l(s) be the second derivative of -s**6/30 + s**5/10 + s**4/12 - s**3/3 - 6*s. Factor l(o).
-o*(o - 2)*(o - 1)*(o + 1)
What is j in -360/7*j - 200/7 + 36/7*j**3 - 2/7*j**4 - 122/7*j**2 = 0?
-1, 10
Suppose 2*k + 5 - 23 = 0. Let i = 11 - k. Factor -4*y**2 - i*y**3 - 7*y + 4*y**4 + 12*y - 3*y.
2*y*(y - 1)*(y + 1)*(2*y - 1)
Find z such that -4*z**2 - 2 + 6*z**5 - 8*z**5 - 6*z**3 + 6*z**4 + 6*z + 2*z**3 = 0.
-1, 1
Let s(z) be the third derivative of -z**8/80640 + z**7/10080 - z**6/2880 + z**5/30 - 3*z**2. Let b(j) be the third derivative of s(j). Factor b(g).
-(g - 1)**2/4
Let l(t) be the second derivative of -5*t**4/48 - 5*t**3/24 + 5*t**2/4 - 20*t. Solve l(v) = 0 for v.
-2, 1
Let a(z) = -6*z**2 - 3*z. Let w(s) = -s**3 - 11*s**2 - 5*s. Let q(f) = 5*a(f) - 3*w(f). Find o, given that q(o) = 0.
-1, 0
Let l(a) be the third derivative of -a**11/443520 + a**9/40320 - a**7/6720 - a**5/15 - 2*a**2. Let h(r) be the third derivative of l(r). Factor h(m).
-3*m*(m - 1)**2*(m + 1)**2/4
Let r(y) be the first derivative of -y**6/10 + 21*y**5/25 - 27*y**4/10 + 4*y**3 - 12*y**2/5 - 7. Factor r(k).
-3*k*(k - 2)**3*(k - 1)/5
Let y(w) be the third derivative of w**6/540 + w**5/60 - w**3/6 + 4*w**2. Let o(v) be the first derivative of y(v). Factor o(k).
2*k*(k + 3)/3
Let n be ((-236852)/2808)/(-11) - 3. Let d = -1/702 + n. Factor -2/3 - 8*z**2 + z**5 + 11/3*z - d*z**4 + 26/3*z**3.
(z - 1)**4*(3*z - 2)/3
Suppose 3 = 5*d - 4*d. Suppose 9 = -3*q + 6*q. Factor 5*m**3 - 7*m**4 - m**4 - q*m**d.
-2*m**3*(4*m - 1)
Let 4*x**3 - 2*x**3 - x**3 + x**3 = 0. Calculate x.
0
Let p(r) be the first derivative of -4*r**3/33 + 5*r**2/11 - 6*r/11 - 19. Factor p(l).
-2*(l - 1)*(2*l - 3)/11
Suppose 6*l - 3*l = 6. Suppose -y - 11/2*y**l - 21/2*y**3 - 5/2*y**5 + 0 - 17/2*y**4 = 0. Calculate y.
-1, -2/5, 0
Let k(a) be the third derivative of a**6/540 + a**5/270 - a**4/27 - 4*a**3/27 - 11*a**2. Let k(m) = 0. What is m?
-2, -1, 2
Factor 48/5*h**3 - 48/5 + 21/5*h**4 - 48/5*h + 3/5*h**5 + 24/5*h**2.
3*(h - 1)*(h + 2)**4/5
Let y = -5 + 7. Let j be 2/((-1 + y)*1). Let -j + 6*p + 3*p**2 + 1 + 0*p**2 + 4 = 0. What is p?
-1
Suppose -4*w + 8*w = 0. Let z(d) be the first derivative of w*d**2 + 1 + 1/3*d - 1/9*d**3. Factor z(g).
-(g - 1)*(g + 1)/3
Let x(q) = q**2 - 6*q. Let h(n) = n**2 - 7*n. Let u(o) = -6*o**2 + o. Let p be u(1). Let v(s) = p*h(s) + 6*x(s). Factor v(c).
c*(c - 1)
Suppose 11 = 4*p + 3. Suppose -6 = -p*z - 0. Solve 0*r + 3*r**5 - r + 1 + 2*r**z + r**4 - 2*r**2 - 4*r**5 = 0 for r.
-1, 1
Suppose -2*r**2 - 9*r**3 + 8*r**3 + 3*r**3 + 2*r**4 - 2*r = 0. Calculate r.
-1, 0, 1
Let l(b) be the second derivative of 13*b**4/6 - 5*b**3/3 - 5*b**2/2 - 2*b. Let j(o) = -5*o**2 + 2*o + 1. Let p(f) = -11*j(f) - 2*l(f). Solve p(z) = 0.
-1/3, 1
Factor -5*a**2 - 3*a**2 + a**2 + 50*a - 125 + 2*a**2.
-5*(a - 5)**2
Solve 2*d**2 + 4*d**2 - 1905*d - 3*d**3 + 1914*d = 0.
-1, 0, 3
Let v(g) be the third derivative of -g**5/150 - g**4/30 + g**3/5 + 10*g**2 + g. Factor v(f).
-2*(f - 1)*(f + 3)/5
Suppose -12*j - 12*j**3 + 4 + 16*j**4 - 22*j**2 + 24*j + 2*j**2 = 0. Calculate j.
-1, -1/4, 1
Let x be (-80)/(-14) - (-22)/77. Let a(h) = -3*h**3 + 3*h**2 + 6. Let y(p) = p**3 - p - 1. Let d(l) = x*y(l) + a(l). Solve d(u) = 0.
-2, 0, 1
Let l be (-6)/4*5/(-15). Let j = -1 - -3. Determine q so that -1/2*q - l*q**j + 0 = 0.
-1, 0
Let g(p) be the second derivative of p**6/180 + p**5/40 + p**4/72 - p**3/12 - p**2/6 + 6*p. Let g(z) = 0. What is z?
-2, -1, 1
Let o(d) be the first derivative of 0*d**2 - 1/5*d**5 - d - 4 + 0*d**4 + 2/3*d**3. Find h such that o(h) = 0.
-1, 1
Let z(u) be the second derivative of u - 2/3*u**3 + 1/21*u**7 - 1/3*u**4 + 1/6*u**6 + 1/10*u**5 - 1/2*u**2 + 0. Determine y so that z(y) = 0.
-1, -1/2, 1
Let b(j) be the second derivative of j**6/105 - j**5/70 - j**4/14 + j**3/21 + 2*j**2/7 + j. Solve b(n) = 0 for n.
-1, 1, 2
Let -78*u**2 + 34*u**2 - 3*u + 43*u**2 = 0. Calculate u.
-3, 0
Let w = 0 - -18. Suppose -2*t - 5*m = 2*t - 22, -6 = -3*m. Factor 0*s - 15*s**t + w*s**2 - 4*s + s**3.
-2*s*(s - 1)*(7*s - 2)
Let v(n) be the second derivative of n**6/15 - n**4/2 - 2*n**3/3 - 40*n. Find k such that v(k) = 0.
-1, 0, 2
Let u(v) be the first derivative of v**5/30 + 3*v**2/2 - 3. Let w(x) be the second derivative of u(x). Factor w(k).
2*k**2
Factor -2/7*y - 2/7*y**2 + 4/7.
-2*(y - 1)*(y + 2)/7
Let i = -8 + 13. Factor 3*b**2 + b**3 + 2*b + b**3 + b - 3 - i*b**3.
-3*(b - 1)**2*(b + 1)
Let g(l) be the second derivative of l**5/10 - l**4/2 + 2*l**3/3 + 32*l. Factor g(d).
2*d*(d - 2)*(d - 1)
Determine r so that 0 - 2/5*r**2 + 0*r = 0.
0
Let p = -30/29 + 749/696. Let r(t) be the second derivative of 0*t**2 + 1/60*t**6 + 0 - 1/20*t**5 + 3*t - p*t**4 + 1/6*t**3. Factor r(k).
k*(k - 2)*(k - 1)*(k + 1)/2
Let t be 1*(-1 - 3)/(-4)*2. Solve 0 - 1/2*z**t + 1/2*z = 0 for z.
0, 1
Let m(y) be the third derivative of 0*y - 1/168*y**7 + 1/96*y**4 + 1/12*y**3 - 3/80*y**5 - 13/480*y**6 + 3*y**2 + 0. Factor m(w).
-(w + 1)**3*(5*w - 2)/4
Find h, given that -324 - 28*h - h - h**2 + 65*h = 0.
18
Let j(n) be the third derivative of -n**8/13440 + n**7/1680 - n**6/480 + n**5/240 + n**4/6 - n**2. Let m(k) be the second derivative of j(k). Factor m(t).
-(t - 1)**3/2
Let h = 4 - 2. Suppose 0 = -5*m - h*g + 30 - 10, -g = 0. Determine x so that -1/3*x**5 + 0*x**2 - 1/3*x**3 + 0*x + 0 - 2/3*x**m = 0.
-1, 0
Let b(q) be the first derivative of -1/18*q**4 + 4/9*q**2 - 16/9*q - 1/27*q**6 + 20/27*q**3 + 8 - 8/45*q**5. What is d in b(d) = 0?
-2, 1
Let k(f) be the third derivative of -f**7/735 + f**6/105 + f**5/210 - f**4/21 + 26*f**2. Factor k(i).
-2*i*(i - 4)*(i - 1)*(i + 1)/7
Let l(o) = o**3 + 11*o**2 + 30*o + 3. Let s be l(-5). Determine y so that 0 + 2/3*y**2 + 2/3*y**s - 4/3*y = 0.
-2, 0, 1
Let q(u) be the second derivative of -u**6/10 - u**5/10 + u**4/3 + u**3/3 - u**2/2 + 3*u. Factor q(o).
-(o - 1)*(o + 1)**2*(3*o - 1)
Let c = 213 - 213. Let c + 1/4*o - 1/4*o**2 = 0. What is o?
0, 1
Let q(m) be the second derivative of m**6/180 - m**5/30 + m**4/12 - m**3/6 + m. Let z(y) be the second derivative of q(y). Factor z(o).
2*(o - 1)**2
Let l(n) be the first derivative of -n**6/48 - n**5/10 - 3*n**4/16 - n**3/6 - n**2/16 + 27. Suppose l(x) = 0. Calculate x.
-1, 0
Suppose -1 = -v + 3. Let n(r) be the third derivative of -1/210*r**7 + 0*r**3 - r**2 - 1/120