/(54/(-180)). Solve 4*p**3 + 13*p**5 - p**5 - 3*p**2 - h*p**4 + 7*p**2 = 0.
-1/3, 0, 1
Let k be (8/(-3))/(16/(-24)). Let r(w) be the third derivative of 0 - 1/48*w**k + 0*w**3 + w**2 + 0*w + 1/240*w**5. Factor r(y).
y*(y - 2)/4
Find o such that 10*o**4 + 0*o - 7*o**5 - 6*o**5 + 4*o + 15*o**5 + 18*o**3 + 14*o**2 = 0.
-2, -1, 0
Let f(i) = -12*i**4 - 12*i**3 - 6*i**2 - 3. Let s(c) = c**5 + c**3 - 1. Let m(a) = f(a) - 3*s(a). Factor m(p).
-3*p**2*(p + 1)**2*(p + 2)
Let i be (3/(-2) + 3)/((-63)/(-12)). Find d, given that i*d**4 + 0 - 2/7*d**5 + 0*d - 2/7*d**2 + 2/7*d**3 = 0.
-1, 0, 1
Let j(c) = -3*c**3 - 1. Let g(l) = 4*l**3 - l**2 + 2. Let d(f) = -2*g(f) - 3*j(f). Let k be d(1). Factor -2*p**k + 2 + p**3 + p**3 - 3*p + p.
2*(p - 1)**2*(p + 1)
Suppose s - 3*i + 11 = 0, 2*i - i + 11 = 4*s. Factor 0 - 8*m**3 - 15*m**5 + 19*m**5 + 0 + s*m.
4*m*(m - 1)**2*(m + 1)**2
Suppose -4 - 36*v - 4*v**3 + 40*v - 5 + 5 + 4*v**2 = 0. Calculate v.
-1, 1
Suppose -5*w = 1 - 16. Let b(m) be the first derivative of 2/3*m - 2 - 2/9*m**w + 0*m**2. Factor b(y).
-2*(y - 1)*(y + 1)/3
Let v(d) = 10*d**4 + 28*d**3 - 75*d**2 - 53*d + 37. Let f(o) = -o**3 + o + 1. Let r(g) = 3*f(g) + v(g). Let r(t) = 0. Calculate t.
-4, -1, 1/2, 2
Let s = -220 + 1982/9. Factor 4/9 - 2/3*y + 0*y**2 + s*y**3.
2*(y - 1)**2*(y + 2)/9
Suppose 0*d = -3*d + 15. Factor -4*g**2 + 4*g**4 + 0*g**3 - g**d - 4*g**3 + 5*g**5.
4*g**2*(g - 1)*(g + 1)**2
Let o(y) = y**3 + 5*y + 5. Let v(g) = -3*g - 3. Let s(p) = -3*o(p) - 5*v(p). Let s(t) = 0. What is t?
0
Let 12/5*m - 3/5*m**2 - 12/5 = 0. What is m?
2
Find v, given that -3*v**2 - 1 + 1 + 7*v**2 + 36*v = 0.
-9, 0
Let d(v) be the second derivative of -v**7/399 + 4*v**6/285 - v**5/38 + v**4/57 - 2*v. Solve d(j) = 0.
0, 1, 2
Factor -25/8 - 5/4*t - 1/8*t**2.
-(t + 5)**2/8
Determine i so that 0*i - 3/2 - 3/8*i**4 + 0*i**3 + 15/8*i**2 = 0.
-2, -1, 1, 2
Let h(y) be the second derivative of -y**6/75 - 2*y**5/25 - 2*y**4/15 + 7*y. Factor h(c).
-2*c**2*(c + 2)**2/5
Let a(f) be the first derivative of f**4/36 + f**3/9 + f**2/6 - f - 1. Let s(w) be the first derivative of a(w). Factor s(i).
(i + 1)**2/3
Let v(k) be the third derivative of k**7/1260 - k**6/144 + k**5/40 - 7*k**4/144 + k**3/18 + 8*k**2. Let v(a) = 0. What is a?
1, 2
Suppose 0 = 5*j - 2*j - 33. Suppose -j = -2*n - 7. Factor 0 + 6/7*c**n + 2/7*c.
2*c*(3*c + 1)/7
Factor 0*z**2 - z**2 + 5*z**2 - 4*z + 0*z.
4*z*(z - 1)
Let n(r) = r**2 + 34*r - 79. Let a(k) = -33*k + 78. Let t(b) = -4*a(b) - 3*n(b). Solve t(i) = 0.
5
Determine o, given that -32*o + 6 + 213/2*o**3 - 49/2*o**5 + 77/2*o**4 + 11/2*o**2 = 0.
-1, 2/7, 3
Let p(j) = -j - 12. Let k be p(-12). Factor -h + k*h**2 + 2*h**2 + 0*h - h**2.
h*(h - 1)
Let j(g) = -g**2 + 11*g - 15. Let p be j(9). Let b(a) be the first derivative of 1/4*a**2 + 1 + 0*a + 1/6*a**p. Factor b(d).
d*(d + 1)/2
Let l(i) be the second derivative of -i**7/189 - 7*i**6/135 - i**5/9 + i**4/3 + i**3 - 3*i**2 + 4*i. Let l(v) = 0. What is v?
-3, 1
Determine x so that -1/2*x**3 - 96*x - 12*x**2 - 256 = 0.
-8
Let n be (1 + 0 - 1) + 3. Factor 2*j**2 + 4*j**2 + 0*j**2 - 3 - n*j**4.
-3*(j - 1)**2*(j + 1)**2
Let f = -4 - -9. Find q, given that 12*q - 2*q**2 - 6 - 15*q + f*q**2 = 0.
-1, 2
Let p(c) be the second derivative of -1/72*c**4 + 1/2*c**2 + 1/180*c**5 + 0 + 0*c**3 + c. Let d(r) be the first derivative of p(r). Let d(z) = 0. Calculate z.
0, 1
Factor -4*d**2 + 4*d**4 + d - 2*d - 2*d**5 + 3*d.
-2*d*(d - 1)**3*(d + 1)
Let a be 149/(-6) + 1/3. Let q = a - -25. Suppose 1/4 + 1/4*l**2 - q*l = 0. Calculate l.
1
Let g(f) be the third derivative of -f**6/360 - 2*f**3/3 + f**2. Let p(b) be the first derivative of g(b). Factor p(s).
-s**2
Let k(f) be the second derivative of -f + 0 + 0*f**2 - 1/120*f**5 + 1/180*f**6 + 0*f**4 + 0*f**3. Factor k(y).
y**3*(y - 1)/6
Let k = 7/11 + -13/55. Factor -c + k + 1/5*c**3 + 3/5*c**2 - 1/5*c**4.
-(c - 1)**3*(c + 2)/5
Let n(s) be the first derivative of 5*s**6/3 + 6*s**5/5 - 7*s**4/2 - 2*s**3 + 2*s**2 - 4. What is r in n(r) = 0?
-1, 0, 2/5, 1
Let o(a) be the third derivative of -a**8/60480 - a**7/3780 - a**6/540 - a**5/60 - 5*a**2. Let c(d) be the third derivative of o(d). Solve c(x) = 0 for x.
-2
Factor -68*s**4 + 80*s + 25*s**3 + 490*s**5 - 156*s**2 - 16 - 478*s**5 + 123*s**3.
4*(s - 2)*(s - 1)**3*(3*s - 2)
Let p(a) be the second derivative of a**6/6 - a**5/4 - 5*a**4/12 + 5*a**3/6 + 2*a. Factor p(i).
5*i*(i - 1)**2*(i + 1)
Let q(b) = 5*b**2 - 2*b + 1. Let x be q(1). Let v = -1 + 8. Factor -2*w**3 + 3*w + 1 - 2*w**2 - x*w**4 - w**5 - 2 + v*w**4.
-(w - 1)**4*(w + 1)
Let d(v) be the third derivative of v**5/60 + 3*v**4/8 + v**3/3 + 4*v**2. Let i be d(-9). Factor -3/2*y**3 + 1/2 + 7/2*y**i - 5/2*y.
-(y - 1)**2*(3*y - 1)/2
Suppose -4*n + 26 = 14. Factor -2*v + 2*v**3 - 4*v**2 - 6*v**3 + 2*v**n.
-2*v*(v + 1)**2
Let z be (-4 - 1)*8/(-10). Let s be (14/21)/(z/30). Factor -2*j - 4*j**s - 6*j**4 + 2*j**5 + 4*j**2 + 4*j + 2*j**4.
-2*j*(j - 1)*(j + 1)**3
Let k(f) = -12*f**3 - 39*f**2 + 36*f + 21. Let h(n) = -11*n**3 - 40*n**2 + 37*n + 22. Let a(d) = 3*h(d) - 4*k(d). Let a(t) = 0. What is t?
-3, -2/5, 1
Let i(b) be the third derivative of b**9/60480 + b**8/26880 - b**7/10080 - b**6/2880 - b**4/12 + 2*b**2. Let n(r) be the second derivative of i(r). Factor n(a).
a*(a - 1)*(a + 1)**2/4
Let x(v) be the second derivative of -7*v**6/90 + 19*v**5/60 - 2*v**4/9 - 2*v**3/9 + 45*v. Factor x(i).
-i*(i - 2)*(i - 1)*(7*i + 2)/3
Let k = -1156/5 - -232. Let k*h**2 + 0*h + 0 - 2/5*h**3 = 0. What is h?
0, 2
Let w = -7 + 1. Let x(z) = 6*z**3 + 4*z - 5. Let r(t) = -7*t**3 - 5*t + 6. Let v(f) = w*x(f) - 5*r(f). Factor v(d).
-d*(d - 1)*(d + 1)
Suppose -15 = a + 2*l, -4*a = 5*l - 4*l + 25. Let r = a - -5. Factor -1/4*d + 1/4*d**3 - 1/4*d**4 + 1/4*d**2 + r.
-d*(d - 1)**2*(d + 1)/4
Let r(w) be the third derivative of w**6/1440 + w**5/160 - w**3/3 + 3*w**2. Let y(z) be the first derivative of r(z). Factor y(g).
g*(g + 3)/4
Let v(g) be the third derivative of -g**7/315 + g**6/180 + 2*g**5/45 - g**4/9 + 48*g**2. Solve v(c) = 0.
-2, 0, 1, 2
Let g(k) be the second derivative of -1/110*k**5 + 1/33*k**3 + 0*k**2 + 1/66*k**4 - 11*k + 0 - 1/165*k**6. Suppose g(l) = 0. Calculate l.
-1, 0, 1
Suppose -g + 3*z = 2*z - 4, -5*z = 3*g - 4. Suppose 0 = 5*u - 4*d - 23, g*d + 0 = u - 9. Factor 0 + 0*p**4 + 0*p**2 + 0*p - 2/3*p**5 + 0*p**u.
-2*p**5/3
Let p(s) be the first derivative of s**6/15 - 4*s**5/25 - s**4/5 + 8*s**3/15 + s**2/5 - 4*s/5 + 40. Suppose p(i) = 0. Calculate i.
-1, 1, 2
Let j(o) = o**3 - o**2 + 2*o. Let d be j(2). Let i = -6 + d. Find l such that 4*l + 3 + 8*l + 1 + 9*l**i = 0.
-2/3
Let j(o) = 2*o**4 - 12*o**3 + 12*o + 14. Let u(i) = -i**4 + 4*i**3 - 4*i - 5. Let k = -7 - -10. Let x(a) = k*j(a) + 8*u(a). Factor x(q).
-2*(q - 1)*(q + 1)**3
Let u = -541/2 + 275. Let 3/4 + u*k - 3/2*k**3 + 6*k**2 - 27/4*k**4 - 3*k**5 = 0. Calculate k.
-1, -1/4, 1
Let j(t) = -2*t + 14. Let k be j(6). Let i(y) be the second derivative of -1/15*y**4 + 2*y + 0 - 1/5*y**k - 1/100*y**5 - 1/6*y**3. Factor i(n).
-(n + 1)**2*(n + 2)/5
Let k(u) = 112*u**4 - 200*u**3 + 111*u**2 - 20*u + 2. Let h(y) = 112*y**4 - 200*y**3 + 111*y**2 - 21*y + 2. Let b(p) = 5*h(p) - 4*k(p). Factor b(l).
(l - 1)*(4*l - 1)**2*(7*l - 2)
Let b be (-69)/(-46)*(-2)/(-6). Let -2 - 2*x - b*x**2 = 0. What is x?
-2
Factor -9/5*z + 24/5*z**2 + 12/5*z**3 - 27/5.
3*(z - 1)*(2*z + 3)**2/5
Let f(i) = -i**3 - 3*i**2 - 4*i - 2. Let l be f(-2). Let s be ((-2)/(-5))/(14/10). Factor 4/7*k**l - 2/7*k**3 - s*k + 0.
-2*k*(k - 1)**2/7
Let y = 6 + -2. Suppose 12 = y*g - 0. Solve -i**4 + 2*i**g - 3*i**3 + i**3 = 0 for i.
0
Let g be (-1)/(-2) + (-2188)/24. Let m = 93 + g. Solve m*f**4 + 0*f + 2/3*f**3 + 0*f**2 + 0 = 0.
-2/7, 0
Let v(a) be the first derivative of 0*a**3 + 0*a - a**2 + 1 + 1/2*a**4. Find h, given that v(h) = 0.
-1, 0, 1
Let g(q) be the first derivative of q**3/3 + 3*q**2 - 37. Factor g(a).
a*(a + 6)
Let f be -17*2/10 - -4. Suppose 0 = -2*l + 4*h - 14, -l - 12 = -h - 2*h. Suppose f*v + 1/5*v**l - 3/5*v**2 - 1/5 = 0. What is v?
1
Let v(f) be the second derivative of -f**5/5 - f**4 + 8*f**2 + 5*f. Factor v(o).
-4*(o - 1)*(o + 2)**2
Solve 3/7*t**4 + 12/7*t + 12/7 - 9/7*t**2 - 6/7*t**3 = 0.
-1, 2
Let p(d) = d**2 - 8*d + 11. Let w be p(7). Factor 8*q**4 - 17*q**4 + 8*q**